id	sid	tid	token	lemma	pos
ap-965	1	1	ap08_2.vp	ap08_2.vp	NOUN
ap-965	1	2	1	1	NUM
ap-965	1	3	introduction	introduction	NOUN
ap-965	1	4	supersymmetric	supersymmetric	ADJ
ap-965	1	5	quantum	quantum	NOUN
ap-965	1	6	mechanics	mechanic	NOUN
ap-965	1	7	[	[	X
ap-965	1	8	1	1	X
ap-965	1	9	]	]	PUNCT
ap-965	1	10	is	be	AUX
ap-965	1	11	under	under	ADP
ap-965	1	12	intensive	intensive	ADJ
ap-965	1	13	development	development	NOUN
ap-965	1	14	and	and	CCONJ
ap-965	1	15	remarkable	remarkable	ADJ
ap-965	1	16	new	new	ADJ
ap-965	1	17	features	feature	NOUN
ap-965	1	18	have	have	AUX
ap-965	1	19	been	be	AUX
ap-965	1	20	discovered	discover	VERB
ap-965	1	21	in	in	ADP
ap-965	1	22	recent	recent	ADJ
ap-965	1	23	years	year	NOUN
ap-965	1	24	.	.	PUNCT
ap-965	2	1	this	this	DET
ap-965	2	2	attention	attention	NOUN
ap-965	2	3	is	be	AUX
ap-965	2	4	due	due	ADJ
ap-965	2	5	both	both	CCONJ
ap-965	2	6	to	to	ADP
ap-965	2	7	the	the	DET
ap-965	2	8	wide	wide	ADJ
ap-965	2	9	range	range	NOUN
ap-965	2	10	of	of	ADP
ap-965	2	11	applicability	applicability	NOUN
ap-965	2	12	of	of	ADP
ap-965	2	13	one	one	NUM
ap-965	2	14	-	-	PUNCT
ap-965	2	15	dimensional	dimensional	ADJ
ap-965	2	16	supersymmetric	supersymmetric	ADJ
ap-965	2	17	theories	theory	NOUN
ap-965	2	18	and	and	CCONJ
ap-965	2	19	especially	especially	ADV
ap-965	2	20	superconformal	superconformal	ADJ
ap-965	2	21	quantum	quantum	ADJ
ap-965	2	22	mechanics	mechanic	NOUN
ap-965	2	23	[	[	X
ap-965	2	24	2	2	X
ap-965	2	25	]	]	PUNCT
ap-965	2	26	for	for	ADP
ap-965	2	27	extremal	extremal	ADJ
ap-965	2	28	black	black	ADJ
ap-965	2	29	holes	hole	NOUN
ap-965	2	30	[	[	X
ap-965	2	31	3	3	NUM
ap-965	2	32	]	]	PUNCT
ap-965	2	33	,	,	PUNCT
ap-965	2	34	in	in	ADP
ap-965	2	35	the	the	DET
ap-965	2	36	ads	ad	NOUN
ap-965	2	37	-	-	PUNCT
ap-965	2	38	cft	cft	NOUN
ap-965	2	39	correspondence	correspondence	NOUN
ap-965	2	40	[	[	X
ap-965	2	41	4	4	X
ap-965	2	42	]	]	X
ap-965	2	43	(	(	PUNCT
ap-965	2	44	when	when	SCONJ
ap-965	2	45	setting	set	VERB
ap-965	2	46	ads2	ads2	ADJ
ap-965	2	47	)	)	PUNCT
ap-965	2	48	,	,	PUNCT
ap-965	2	49	in	in	ADP
ap-965	2	50	investigating	investigate	VERB
ap-965	2	51	partial	partial	ADJ
ap-965	2	52	breaking	breaking	NOUN
ap-965	2	53	of	of	ADP
ap-965	2	54	extended	extended	ADJ
ap-965	2	55	supersymmetries	supersymmetry	NOUN
ap-965	2	56	[	[	X
ap-965	2	57	5	5	NUM
ap-965	2	58	,	,	PUNCT
ap-965	2	59	6	6	NUM
ap-965	2	60	]	]	PUNCT
ap-965	2	61	,	,	PUNCT
ap-965	2	62	as	as	ADV
ap-965	2	63	well	well	ADV
ap-965	2	64	as	as	ADP
ap-965	2	65	for	for	ADP
ap-965	2	66	its	its	PRON
ap-965	2	67	underlying	underlying	ADJ
ap-965	2	68	mathematical	mathematical	ADJ
ap-965	2	69	structures	structure	NOUN
ap-965	2	70	.	.	PUNCT
ap-965	3	1	it	it	PRON
ap-965	3	2	is	be	AUX
ap-965	3	3	well	well	ADV
ap-965	3	4	known	know	VERB
ap-965	3	5	that	that	SCONJ
ap-965	3	6	large	large	ADJ
ap-965	3	7	n	n	NOUN
ap-965	3	8	(	(	PUNCT
ap-965	3	9	up	up	ADP
ap-965	3	10	to	to	ADP
ap-965	3	11	n	n	PRON
ap-965	3	12	�	�	PROPN
ap-965	3	13	32	32	NUM
ap-965	3	14	,	,	PUNCT
ap-965	3	15	starting	start	VERB
ap-965	3	16	from	from	ADP
ap-965	3	17	the	the	DET
ap-965	3	18	maximal	maximal	ADJ
ap-965	3	19	,	,	PUNCT
ap-965	3	20	eleven	eleven	ADJ
ap-965	3	21	-	-	PUNCT
ap-965	3	22	dimensional	dimensional	ADJ
ap-965	3	23	supergravity	supergravity	NOUN
ap-965	3	24	)	)	PUNCT
ap-965	3	25	one	one	NUM
ap-965	3	26	-	-	PUNCT
ap-965	3	27	dimensional	dimensional	ADJ
ap-965	3	28	supersymmetric	supersymmetric	ADJ
ap-965	3	29	quantum	quantum	ADJ
ap-965	3	30	mechanical	mechanical	ADJ
ap-965	3	31	models	model	NOUN
ap-965	3	32	are	be	AUX
ap-965	3	33	automatically	automatically	ADV
ap-965	3	34	derived	derive	VERB
ap-965	4	1	[	[	X
ap-965	4	2	7	7	NUM
ap-965	4	3	]	]	PUNCT
ap-965	4	4	from	from	ADP
ap-965	4	5	dimensional	dimensional	ADJ
ap-965	4	6	reduction	reduction	NOUN
ap-965	4	7	of	of	ADP
ap-965	4	8	higher	high	ADJ
ap-965	4	9	-	-	PUNCT
ap-965	4	10	dimensional	dimensional	ADJ
ap-965	4	11	supersymmetric	supersymmetric	ADJ
ap-965	4	12	field	field	NOUN
ap-965	4	13	theories	theory	NOUN
ap-965	4	14	.	.	PUNCT
ap-965	5	1	large	large	ADJ
ap-965	5	2	n	n	CCONJ
ap-965	5	3	one	one	ADV
ap-965	5	4	-	-	PUNCT
ap-965	5	5	dimensional	dimensional	ADJ
ap-965	5	6	supersymmetry	supersymmetry	NOUN
ap-965	5	7	on	on	ADP
ap-965	5	8	the	the	DET
ap-965	5	9	other	other	ADJ
ap-965	5	10	hand	hand	NOUN
ap-965	5	11	(	(	PUNCT
ap-965	5	12	possibly	possibly	ADV
ap-965	5	13	in	in	ADP
ap-965	5	14	the	the	DET
ap-965	5	15	n	n	PRON
ap-965	5	16	�	�	PROPN
ap-965	5	17	�	�	PROPN
ap-965	5	18	limit	limit	NOUN
ap-965	5	19	)	)	PUNCT
ap-965	5	20	even	even	ADV
ap-965	5	21	emerges	emerge	VERB
ap-965	5	22	in	in	ADP
ap-965	5	23	condensed	condense	VERB
ap-965	5	24	matter	matter	NOUN
ap-965	5	25	phenomena	phenomenon	NOUN
ap-965	5	26	.	.	PUNCT
ap-965	6	1	controlling	control	VERB
ap-965	6	2	one	one	NUM
ap-965	6	3	-	-	PUNCT
ap-965	6	4	dimensional	dimensional	ADJ
ap-965	6	5	n	n	CCONJ
ap-965	6	6	-	-	PUNCT
ap-965	6	7	extended	extended	ADJ
ap-965	6	8	supersymmetry	supersymmetry	NOUN
ap-965	6	9	for	for	ADP
ap-965	6	10	arbitrary	arbitrary	ADJ
ap-965	6	11	values	value	NOUN
ap-965	6	12	of	of	ADP
ap-965	6	13	n	n	PROPN
ap-965	6	14	(	(	PUNCT
ap-965	6	15	that	that	ADV
ap-965	6	16	is	is	ADV
ap-965	6	17	,	,	PUNCT
ap-965	6	18	the	the	DET
ap-965	6	19	nature	nature	NOUN
ap-965	6	20	of	of	ADP
ap-965	6	21	its	its	PRON
ap-965	6	22	representation	representation	NOUN
ap-965	6	23	theory	theory	NOUN
ap-965	6	24	,	,	PUNCT
ap-965	6	25	how	how	SCONJ
ap-965	6	26	to	to	PART
ap-965	6	27	construct	construct	VERB
ap-965	6	28	manifestly	manifestly	ADV
ap-965	6	29	supersymmetric	supersymmetric	ADJ
ap-965	6	30	invariants	invariant	NOUN
ap-965	6	31	,	,	PUNCT
ap-965	6	32	etc	etc	X
ap-965	6	33	.	.	X
ap-965	6	34	)	)	PUNCT
ap-965	6	35	is	be	AUX
ap-965	6	36	a	a	DET
ap-965	6	37	technical	technical	ADJ
ap-965	6	38	,	,	PUNCT
ap-965	6	39	but	but	CCONJ
ap-965	6	40	challenging	challenging	ADJ
ap-965	6	41	program	program	NOUN
ap-965	6	42	with	with	ADP
ap-965	6	43	important	important	ADJ
ap-965	6	44	consequences	consequence	NOUN
ap-965	6	45	in	in	ADP
ap-965	6	46	many	many	ADJ
ap-965	6	47	areas	area	NOUN
ap-965	6	48	of	of	ADP
ap-965	6	49	physics	physics	NOUN
ap-965	6	50	,	,	PUNCT
ap-965	6	51	see	see	VERB
ap-965	6	52	e.g.	e.g.	ADV
ap-965	6	53	the	the	DET
ap-965	6	54	discussion	discussion	NOUN
ap-965	6	55	in	in	ADP
ap-965	6	56	[	[	X
ap-965	6	57	8	8	NUM
ap-965	6	58	]	]	PUNCT
ap-965	6	59	concerning	concern	VERB
ap-965	6	60	the	the	DET
ap-965	6	61	nature	nature	NOUN
ap-965	6	62	of	of	ADP
ap-965	6	63	on	on	ADP
ap-965	6	64	-	-	PUNCT
ap-965	6	65	shell	shell	NOUN
ap-965	6	66	versus	versus	ADP
ap-965	6	67	off	off	ADP
ap-965	6	68	-	-	PUNCT
ap-965	6	69	shell	shell	NOUN
ap-965	6	70	representations	representation	NOUN
ap-965	6	71	,	,	PUNCT
ap-965	6	72	for	for	ADP
ap-965	6	73	its	its	PRON
ap-965	6	74	implications	implication	NOUN
ap-965	6	75	in	in	ADP
ap-965	6	76	the	the	DET
ap-965	6	77	context	context	NOUN
ap-965	6	78	of	of	ADP
ap-965	6	79	the	the	DET
ap-965	6	80	supersymmetric	supersymmetric	ADJ
ap-965	6	81	unification	unification	NOUN
ap-965	6	82	of	of	ADP
ap-965	6	83	interactions	interaction	NOUN
ap-965	6	84	.	.	PUNCT
ap-965	7	1	over	over	ADP
ap-965	7	2	the	the	DET
ap-965	7	3	years	year	NOUN
ap-965	7	4	,	,	PUNCT
ap-965	7	5	progress	progress	NOUN
ap-965	7	6	has	have	AUX
ap-965	7	7	come	come	VERB
ap-965	7	8	from	from	ADP
ap-965	7	9	two	two	NUM
ap-965	7	10	lines	line	NOUN
ap-965	7	11	of	of	ADP
ap-965	7	12	attack	attack	NOUN
ap-965	7	13	.	.	PUNCT
ap-965	8	1	in	in	ADP
ap-965	8	2	the	the	DET
ap-965	8	3	pivotal	pivotal	ADJ
ap-965	8	4	work	work	NOUN
ap-965	8	5	of	of	ADP
ap-965	8	6	[	[	X
ap-965	8	7	9	9	NUM
ap-965	8	8	]	]	X
ap-965	8	9	irreducible	irreducible	ADJ
ap-965	8	10	representations	representation	NOUN
ap-965	8	11	were	be	AUX
ap-965	8	12	investigated	investigate	VERB
ap-965	8	13	to	to	PART
ap-965	8	14	analyze	analyze	VERB
ap-965	8	15	supersymmetric	supersymmetric	ADJ
ap-965	8	16	quantum	quantum	NOUN
ap-965	8	17	mechanics	mechanic	NOUN
ap-965	8	18	.	.	PUNCT
ap-965	9	1	the	the	DET
ap-965	9	2	special	special	ADJ
ap-965	9	3	role	role	NOUN
ap-965	9	4	played	play	VERB
ap-965	9	5	by	by	ADP
ap-965	9	6	clifford	clifford	PROPN
ap-965	9	7	algebra	algebra	PROPN
ap-965	9	8	was	be	AUX
ap-965	9	9	pointed	point	VERB
ap-965	9	10	out	out	ADP
ap-965	9	11	[	[	X
ap-965	9	12	10	10	NUM
ap-965	9	13	]	]	PUNCT
ap-965	9	14	.	.	PUNCT
ap-965	10	1	clifford	clifford	PROPN
ap-965	10	2	algebras	algebras	PROPN
ap-965	10	3	were	be	AUX
ap-965	10	4	also	also	ADV
ap-965	10	5	used	use	VERB
ap-965	10	6	in	in	ADP
ap-965	10	7	[	[	X
ap-965	10	8	11	11	NUM
ap-965	10	9	]	]	PUNCT
ap-965	10	10	to	to	PART
ap-965	10	11	construct	construct	VERB
ap-965	10	12	representations	representation	NOUN
ap-965	10	13	of	of	ADP
ap-965	10	14	the	the	DET
ap-965	10	15	extended	extended	ADJ
ap-965	10	16	one	one	NUM
ap-965	10	17	-	-	PUNCT
ap-965	10	18	dimensional	dimensional	ADJ
ap-965	10	19	supersymmetry	supersymmetry	NOUN
ap-965	10	20	algebra	algebra	NOUN
ap-965	10	21	for	for	ADP
ap-965	10	22	arbitrarily	arbitrarily	ADV
ap-965	10	23	large	large	ADJ
ap-965	10	24	values	value	NOUN
ap-965	10	25	of	of	ADP
ap-965	10	26	n.	n.	NOUN
ap-965	10	27	another	another	DET
ap-965	10	28	line	line	NOUN
ap-965	10	29	of	of	ADP
ap-965	10	30	attack	attack	NOUN
ap-965	10	31	involved	involve	VERB
ap-965	10	32	using	use	VERB
ap-965	10	33	superspace	superspace	NOUN
ap-965	10	34	,	,	PUNCT
ap-965	10	35	so	so	SCONJ
ap-965	10	36	that	that	SCONJ
ap-965	10	37	manifest	manif	ADJ
ap-965	10	38	invariants	invariant	NOUN
ap-965	10	39	could	could	AUX
ap-965	10	40	be	be	AUX
ap-965	10	41	constructed	construct	VERB
ap-965	10	42	through	through	ADP
ap-965	10	43	superfields	superfield	NOUN
ap-965	10	44	.	.	PUNCT
ap-965	11	1	for	for	ADP
ap-965	11	2	low	low	ADJ
ap-965	11	3	values	value	NOUN
ap-965	11	4	of	of	ADP
ap-965	11	5	n	n	PRON
ap-965	11	6	this	this	PRON
ap-965	11	7	is	be	AUX
ap-965	11	8	indeed	indeed	ADV
ap-965	11	9	the	the	DET
ap-965	11	10	most	most	ADV
ap-965	11	11	convenient	convenient	ADJ
ap-965	11	12	approach	approach	NOUN
ap-965	11	13	.	.	PUNCT
ap-965	12	1	however	however	ADV
ap-965	12	2	,	,	PUNCT
ap-965	12	3	with	with	ADP
ap-965	12	4	increasing	increase	VERB
ap-965	12	5	n	n	CCONJ
ap-965	12	6	,	,	PUNCT
ap-965	12	7	the	the	DET
ap-965	12	8	associated	associated	ADJ
ap-965	12	9	superfields	superfield	NOUN
ap-965	12	10	become	become	VERB
ap-965	12	11	highly	highly	ADV
ap-965	12	12	reducible	reducible	ADJ
ap-965	12	13	and	and	CCONJ
ap-965	12	14	require	require	VERB
ap-965	12	15	the	the	DET
ap-965	12	16	introduction	introduction	NOUN
ap-965	12	17	of	of	ADP
ap-965	12	18	constraints	constraint	NOUN
ap-965	12	19	to	to	PART
ap-965	12	20	extract	extract	VERB
ap-965	12	21	irreducible	irreducible	ADJ
ap-965	12	22	representations	representation	NOUN
ap-965	12	23	.	.	PUNCT
ap-965	13	1	this	this	DET
ap-965	13	2	approach	approach	NOUN
ap-965	13	3	soon	soon	ADV
ap-965	13	4	becomes	become	VERB
ap-965	13	5	impractical	impractical	ADJ
ap-965	13	6	for	for	ADP
ap-965	13	7	large	large	ADJ
ap-965	13	8	n.	n.	NOUN
ap-965	13	9	indeed	indeed	ADV
ap-965	13	10	,	,	PUNCT
ap-965	13	11	only	only	ADV
ap-965	13	12	very	very	ADV
ap-965	13	13	recently	recently	ADV
ap-965	13	14	a	a	DET
ap-965	13	15	manifestly	manifestly	ADV
ap-965	13	16	n	n	SYM
ap-965	13	17	�	�	NOUN
ap-965	13	18	8	8	NUM
ap-965	13	19	superfield	superfield	ADJ
ap-965	13	20	formalism	formalism	NOUN
ap-965	13	21	for	for	ADP
ap-965	13	22	one	one	NUM
ap-965	13	23	-	-	PUNCT
ap-965	13	24	dimensional	dimensional	ADJ
ap-965	13	25	theory	theory	NOUN
ap-965	13	26	has	have	AUX
ap-965	13	27	been	be	AUX
ap-965	13	28	introduced	introduce	VERB
ap-965	13	29	,	,	PUNCT
ap-965	13	30	see	see	VERB
ap-965	13	31	[	[	X
ap-965	13	32	12	12	NUM
ap-965	13	33	]	]	PUNCT
ap-965	13	34	and	and	CCONJ
ap-965	13	35	references	reference	NOUN
ap-965	13	36	therein	therein	ADV
ap-965	13	37	.	.	PUNCT
ap-965	14	1	a	a	DET
ap-965	14	2	manifest	manifest	ADJ
ap-965	14	3	superfield	superfield	NOUN
ap-965	14	4	formalism	formalism	NOUN
ap-965	14	5	is	be	AUX
ap-965	14	6	however	however	ADV
ap-965	14	7	lacking	lack	VERB
ap-965	14	8	for	for	ADP
ap-965	14	9	larger	large	ADJ
ap-965	14	10	values	value	NOUN
ap-965	14	11	of	of	ADP
ap-965	14	12	n.	n.	NOUN
ap-965	14	13	in	in	ADP
ap-965	14	14	this	this	DET
ap-965	14	15	work	work	NOUN
ap-965	14	16	we	we	PRON
ap-965	14	17	discuss	discuss	VERB
ap-965	14	18	our	our	PRON
ap-965	14	19	results	result	NOUN
ap-965	14	20	[	[	X
ap-965	14	21	13	13	NUM
ap-965	14	22	]	]	PUNCT
ap-965	14	23	,	,	PUNCT
ap-965	14	24	[	[	X
ap-965	14	25	14	14	NUM
ap-965	14	26	]	]	PUNCT
ap-965	14	27	,	,	PUNCT
ap-965	14	28	[	[	X
ap-965	14	29	15	15	NUM
ap-965	14	30	]	]	PUNCT
ap-965	14	31	concerning	concern	VERB
ap-965	14	32	the	the	DET
ap-965	14	33	classification	classification	NOUN
ap-965	14	34	of	of	ADP
ap-965	14	35	linear	linear	ADJ
ap-965	14	36	irreducible	irreducible	ADJ
ap-965	14	37	representations	representation	NOUN
ap-965	14	38	realized	realize	VERB
ap-965	14	39	on	on	ADP
ap-965	14	40	a	a	DET
ap-965	14	41	finite	finite	ADJ
ap-965	14	42	number	number	NOUN
ap-965	14	43	of	of	ADP
ap-965	14	44	time	time	NOUN
ap-965	14	45	-	-	PUNCT
ap-965	14	46	dependent	dependent	ADJ
ap-965	14	47	,	,	PUNCT
ap-965	14	48	bosonic	bosonic	NOUN
ap-965	14	49	and	and	CCONJ
ap-965	14	50	fermionic	fermionic	NOUN
ap-965	14	51	,	,	PUNCT
ap-965	14	52	fields	field	NOUN
ap-965	14	53	.	.	PUNCT
ap-965	15	1	the	the	DET
ap-965	15	2	connection	connection	NOUN
ap-965	15	3	with	with	ADP
ap-965	15	4	clifford	clifford	PROPN
ap-965	15	5	algebras	algebras	PROPN
ap-965	15	6	and	and	CCONJ
ap-965	15	7	division	division	NOUN
ap-965	15	8	algebras	algebra	NOUN
ap-965	15	9	is	be	AUX
ap-965	15	10	discussed	discuss	VERB
ap-965	15	11	,	,	PUNCT
ap-965	15	12	as	as	ADV
ap-965	15	13	well	well	ADV
ap-965	15	14	as	as	ADP
ap-965	15	15	the	the	DET
ap-965	15	16	construction	construction	NOUN
ap-965	15	17	of	of	ADP
ap-965	15	18	off	off	ADP
ap-965	15	19	-	-	PUNCT
ap-965	15	20	shell	shell	ADJ
ap-965	15	21	invariant	invariant	ADJ
ap-965	15	22	actions	action	NOUN
ap-965	15	23	and	and	CCONJ
ap-965	15	24	some	some	DET
ap-965	15	25	associations	association	NOUN
ap-965	15	26	with	with	ADP
ap-965	15	27	graph	graph	NOUN
ap-965	15	28	theory	theory	NOUN
ap-965	15	29	.	.	PUNCT
ap-965	16	1	several	several	ADJ
ap-965	16	2	important	important	ADJ
ap-965	16	3	topics	topic	NOUN
ap-965	16	4	that	that	PRON
ap-965	16	5	have	have	AUX
ap-965	16	6	appeared	appear	VERB
ap-965	16	7	recently	recently	ADV
ap-965	16	8	in	in	ADP
ap-965	16	9	the	the	DET
ap-965	16	10	literature	literature	NOUN
ap-965	16	11	,	,	PUNCT
ap-965	16	12	like	like	ADP
ap-965	16	13	the	the	DET
ap-965	16	14	nature	nature	NOUN
ap-965	16	15	of	of	ADP
ap-965	16	16	the	the	DET
ap-965	16	17	non	non	ADJ
ap-965	16	18	-	-	ADJ
ap-965	16	19	linear	linear	ADJ
ap-965	16	20	representations	representation	NOUN
ap-965	16	21	will	will	AUX
ap-965	16	22	not	not	PART
ap-965	16	23	be	be	AUX
ap-965	16	24	discussed	discuss	VERB
ap-965	16	25	here	here	ADV
ap-965	16	26	.	.	PUNCT
ap-965	17	1	there	there	PRON
ap-965	17	2	are	be	VERB
ap-965	17	3	reviews	review	NOUN
ap-965	17	4	(	(	PUNCT
ap-965	17	5	[	[	X
ap-965	17	6	16	16	NUM
ap-965	17	7	]	]	PUNCT
ap-965	17	8	)	)	PUNCT
ap-965	17	9	that	that	PRON
ap-965	17	10	cover	cover	VERB
ap-965	17	11	this	this	PRON
ap-965	17	12	and	and	CCONJ
ap-965	17	13	other	other	ADJ
ap-965	17	14	aspects	aspect	NOUN
ap-965	17	15	.	.	PUNCT
ap-965	18	1	similarly	similarly	ADV
ap-965	18	2	,	,	PUNCT
ap-965	18	3	the	the	DET
ap-965	18	4	quite	quite	ADV
ap-965	18	5	important	important	ADJ
ap-965	18	6	connection	connection	NOUN
ap-965	18	7	with	with	ADP
ap-965	18	8	supersymmetric	supersymmetric	PROPN
ap-965	18	9	integrable	integrable	ADJ
ap-965	18	10	systems	system	NOUN
ap-965	18	11	in	in	ADP
ap-965	18	12	(	(	PUNCT
ap-965	18	13	1	1	NUM
ap-965	18	14	+	+	NOUN
ap-965	18	15	1	1	NUM
ap-965	18	16	)	)	PUNCT
ap-965	18	17	dimensions	dimension	NOUN
ap-965	18	18	(	(	PUNCT
ap-965	18	19	such	such	ADJ
ap-965	18	20	as	as	ADP
ap-965	18	21	the	the	DET
ap-965	18	22	supersymmetric	supersymmetric	ADJ
ap-965	18	23	extension	extension	NOUN
ap-965	18	24	of	of	ADP
ap-965	18	25	the	the	DET
ap-965	18	26	kdv	kdv	NOUN
ap-965	18	27	equation	equation	NOUN
ap-965	18	28	,	,	PUNCT
ap-965	18	29	will	will	AUX
ap-965	18	30	not	not	PART
ap-965	18	31	be	be	AUX
ap-965	18	32	discussed	discuss	VERB
ap-965	18	33	since	since	SCONJ
ap-965	18	34	they	they	PRON
ap-965	18	35	have	have	AUX
ap-965	18	36	been	be	AUX
ap-965	18	37	covered	cover	VERB
ap-965	18	38	elsewhere	elsewhere	ADV
ap-965	18	39	[	[	X
ap-965	18	40	17	17	NUM
ap-965	18	41	]	]	NUM
ap-965	18	42	)	)	PUNCT
ap-965	18	43	.	.	PUNCT
ap-965	19	1	the	the	DET
ap-965	19	2	scheme	scheme	NOUN
ap-965	19	3	of	of	ADP
ap-965	19	4	the	the	DET
ap-965	19	5	paper	paper	NOUN
ap-965	19	6	is	be	AUX
ap-965	19	7	as	as	SCONJ
ap-965	19	8	follows	follow	VERB
ap-965	19	9	.	.	PUNCT
ap-965	20	1	the	the	DET
ap-965	20	2	next	next	ADJ
ap-965	20	3	section	section	NOUN
ap-965	20	4	deals	deal	VERB
ap-965	20	5	with	with	ADP
ap-965	20	6	the	the	DET
ap-965	20	7	relevance	relevance	NOUN
ap-965	20	8	of	of	ADP
ap-965	20	9	one	one	NUM
ap-965	20	10	-	-	PUNCT
ap-965	20	11	dimensional	dimensional	ADJ
ap-965	20	12	supersymmetric	supersymmetric	ADJ
ap-965	20	13	quantum	quantum	ADJ
ap-965	20	14	mechanics	mechanic	NOUN
ap-965	20	15	for	for	ADP
ap-965	20	16	understanding	understand	VERB
ap-965	20	17	higher	high	ADJ
ap-965	20	18	-	-	PUNCT
ap-965	20	19	dimensional	dimensional	ADJ
ap-965	20	20	supersymmetric	supersymmetric	ADJ
ap-965	20	21	field	field	NOUN
ap-965	20	22	theory	theory	NOUN
ap-965	20	23	.	.	PUNCT
ap-965	21	1	some	some	DET
ap-965	21	2	selected	select	VERB
ap-965	21	3	examples	example	NOUN
ap-965	21	4	of	of	ADP
ap-965	21	5	dimensional	dimensional	ADJ
ap-965	21	6	reductions	reduction	NOUN
ap-965	21	7	are	be	AUX
ap-965	21	8	pointed	point	VERB
ap-965	21	9	out	out	ADP
ap-965	21	10	.	.	PUNCT
ap-965	22	1	the	the	DET
ap-965	22	2	relation	relation	NOUN
ap-965	22	3	between	between	ADP
ap-965	22	4	irreducible	irreducible	ADJ
ap-965	22	5	representations	representation	NOUN
ap-965	22	6	of	of	ADP
ap-965	22	7	one	one	NUM
ap-965	22	8	-	-	PUNCT
ap-965	22	9	dimensional	dimensional	ADJ
ap-965	22	10	n	n	CCONJ
ap-965	22	11	extended	extended	ADJ
ap-965	22	12	supersymmetry	supersymmetry	NOUN
ap-965	22	13	algebra	algebra	NOUN
ap-965	22	14	and	and	CCONJ
ap-965	22	15	clifford	clifford	PROPN
ap-965	22	16	algebras	algebras	PROPN
ap-965	22	17	is	be	AUX
ap-965	22	18	explained	explain	VERB
ap-965	22	19	in	in	ADP
ap-965	22	20	section	section	NOUN
ap-965	22	21	3	3	NUM
ap-965	22	22	.	.	PUNCT
ap-965	22	23	section	section	NOUN
ap-965	22	24	4	4	NUM
ap-965	22	25	reviews	review	VERB
ap-965	22	26	the	the	DET
ap-965	22	27	classification	classification	NOUN
ap-965	22	28	of	of	ADP
ap-965	22	29	clifford	clifford	PROPN
ap-965	22	30	algebras	algebras	PROPN
ap-965	22	31	and	and	CCONJ
ap-965	22	32	their	their	PRON
ap-965	22	33	relation	relation	NOUN
ap-965	22	34	with	with	ADP
ap-965	22	35	division	division	NOUN
ap-965	22	36	algebras	algebra	NOUN
ap-965	22	37	,	,	PUNCT
ap-965	22	38	following	follow	VERB
ap-965	22	39	[	[	X
ap-965	22	40	18	18	NUM
ap-965	22	41	]	]	PUNCT
ap-965	22	42	.	.	PUNCT
ap-965	23	1	in	in	ADP
ap-965	23	2	section	section	NOUN
ap-965	23	3	5	5	NUM
ap-965	23	4	the	the	DET
ap-965	23	5	results	result	NOUN
ap-965	23	6	of	of	ADP
ap-965	23	7	[	[	X
ap-965	23	8	14	14	NUM
ap-965	23	9	]	]	PUNCT
ap-965	23	10	concerning	concern	VERB
ap-965	23	11	the	the	DET
ap-965	23	12	classification	classification	NOUN
ap-965	23	13	of	of	ADP
ap-965	23	14	irreducible	irreducible	ADJ
ap-965	23	15	representations	representation	NOUN
ap-965	23	16	with	with	ADP
ap-965	23	17	length-4	length-4	PUNCT
ap-965	23	18	field	field	NOUN
ap-965	23	19	content	content	NOUN
ap-965	23	20	are	be	AUX
ap-965	23	21	reported	report	VERB
ap-965	23	22	.	.	PUNCT
ap-965	24	1	section	section	NOUN
ap-965	24	2	6	6	NUM
ap-965	24	3	computes	compute	VERB
ap-965	24	4	off	off	ADP
ap-965	24	5	-	-	PUNCT
ap-965	24	6	shell	shell	ADJ
ap-965	24	7	invariant	invariant	ADJ
ap-965	24	8	actions	action	NOUN
ap-965	24	9	of	of	ADP
ap-965	24	10	one	one	NUM
ap-965	24	11	-	-	PUNCT
ap-965	24	12	dimensional	dimensional	ADJ
ap-965	24	13	sigma	sigma	NOUN
ap-965	24	14	models	model	NOUN
ap-965	24	15	within	within	ADP
ap-965	24	16	a	a	DET
ap-965	24	17	manifestly	manifestly	ADV
ap-965	24	18	supersymmetric	supersymmetric	ADJ
ap-965	24	19	formalism	formalism	NOUN
ap-965	24	20	which	which	PRON
ap-965	24	21	does	do	AUX
ap-965	24	22	not	not	PART
ap-965	24	23	require	require	VERB
ap-965	24	24	the	the	DET
ap-965	24	25	introduction	introduction	NOUN
ap-965	24	26	of	of	ADP
ap-965	24	27	superfields	superfield	NOUN
ap-965	24	28	.	.	PUNCT
ap-965	25	1	in	in	ADP
ap-965	25	2	section	section	NOUN
ap-965	25	3	7	7	NUM
ap-965	25	4	an	an	DET
ap-965	25	5	n	n	PRON
ap-965	25	6	�	�	NOUN
ap-965	25	7	8	8	NUM
ap-965	25	8	invariant	invariant	ADJ
ap-965	25	9	action	action	NOUN
ap-965	25	10	constructed	construct	VERB
ap-965	25	11	in	in	ADP
ap-965	25	12	terms	term	NOUN
ap-965	25	13	of	of	ADP
ap-965	25	14	octonionic	octonionic	ADJ
ap-965	25	15	structure	structure	NOUN
ap-965	25	16	constants	constant	NOUN
ap-965	25	17	is	be	AUX
ap-965	25	18	presented	present	VERB
ap-965	25	19	.	.	PUNCT
ap-965	26	1	the	the	DET
ap-965	26	2	classification	classification	NOUN
ap-965	26	3	in	in	ADP
ap-965	26	4	[	[	X
ap-965	26	5	15	15	NUM
ap-965	26	6	]	]	PUNCT
ap-965	26	7	of	of	ADP
ap-965	26	8	nonequivalent	nonequivalent	ADJ
ap-965	26	9	n	n	PROPN
ap-965	26	10	�	�	PROPN
ap-965	26	11	5	5	NUM
ap-965	26	12	6	6	NUM
ap-965	26	13	,	,	PUNCT
ap-965	26	14	supersymmetry	supersymmetry	NOUN
ap-965	26	15	transformations	transformation	NOUN
ap-965	26	16	with	with	ADP
ap-965	26	17	the	the	DET
ap-965	26	18	same	same	ADJ
ap-965	26	19	field	field	NOUN
ap-965	26	20	content	content	NOUN
ap-965	26	21	is	be	AUX
ap-965	26	22	given	give	VERB
ap-965	26	23	in	in	ADP
ap-965	26	24	section	section	NOUN
ap-965	26	25	8	8	NUM
ap-965	26	26	and	and	CCONJ
ap-965	26	27	9	9	NUM
ap-965	26	28	.	.	X
ap-965	27	1	a	a	DET
ap-965	27	2	graphical	graphical	ADJ
ap-965	27	3	presentation	presentation	NOUN
ap-965	27	4	of	of	ADP
ap-965	27	5	supersymmetry	supersymmetry	NOUN
ap-965	27	6	transformations	transformation	NOUN
ap-965	27	7	in	in	ADP
ap-965	27	8	terms	term	NOUN
ap-965	27	9	of	of	ADP
ap-965	27	10	n	n	CCONJ
ap-965	27	11	-	-	PUNCT
ap-965	27	12	colored	colored	ADJ
ap-965	27	13	oriented	orient	VERB
ap-965	27	14	graphs	graph	NOUN
ap-965	27	15	is	be	AUX
ap-965	27	16	discussed	discuss	VERB
ap-965	27	17	.	.	PUNCT
ap-965	28	1	section	section	NOUN
ap-965	28	2	10	10	NUM
ap-965	28	3	introduces	introduce	VERB
ap-965	28	4	the	the	DET
ap-965	28	5	fusion	fusion	NOUN
ap-965	28	6	algebra	algebra	NOUN
ap-965	28	7	produced	produce	VERB
ap-965	28	8	by	by	ADP
ap-965	28	9	tensoring	tensore	VERB
ap-965	28	10	irreducible	irreducible	ADJ
ap-965	28	11	representations	representation	NOUN
ap-965	28	12	and	and	CCONJ
ap-965	28	13	presents	present	VERB
ap-965	28	14	it	it	PRON
ap-965	28	15	in	in	ADP
ap-965	28	16	graphical	graphical	ADJ
ap-965	28	17	form	form	NOUN
ap-965	28	18	.	.	PUNCT
ap-965	29	1	58	58	NUM
ap-965	30	1	©	©	PROPN
ap-965	30	2	czech	czech	PROPN
ap-965	30	3	technical	technical	PROPN
ap-965	30	4	university	university	PROPN
ap-965	30	5	publishing	publishing	NOUN
ap-965	30	6	house	house	NOUN
ap-965	30	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	30	8	acta	acta	PROPN
ap-965	30	9	polytechnica	polytechnica	PROPN
ap-965	30	10	vol	vol	NOUN
ap-965	30	11	.	.	PUNCT
ap-965	31	1	48	48	NUM
ap-965	31	2	no	no	NOUN
ap-965	31	3	.	.	PUNCT
ap-965	32	1	2/2008	2/2008	NUM
ap-965	32	2	extended	extend	VERB
ap-965	32	3	supersymmetries	supersymmetry	NOUN
ap-965	32	4	in	in	ADP
ap-965	32	5	one	one	NUM
ap-965	32	6	dimension	dimension	NOUN
ap-965	32	7	f.	f.	PROPN
ap-965	32	8	toppan	toppan	PROPN
ap-965	32	9	this	this	DET
ap-965	32	10	work	work	NOUN
ap-965	32	11	covers	cover	VERB
ap-965	32	12	part	part	NOUN
ap-965	32	13	of	of	ADP
ap-965	32	14	the	the	DET
ap-965	32	15	material	material	NOUN
ap-965	32	16	presented	present	VERB
ap-965	32	17	at	at	ADP
ap-965	32	18	the	the	DET
ap-965	32	19	advanced	advanced	ADJ
ap-965	32	20	summer	summer	NOUN
ap-965	32	21	school	school	NOUN
ap-965	32	22	in	in	ADP
ap-965	32	23	prague	prague	PROPN
ap-965	32	24	.	.	PUNCT
ap-965	33	1	it	it	PRON
ap-965	33	2	is	be	AUX
ap-965	33	3	mostly	mostly	ADV
ap-965	33	4	devoted	devoted	ADJ
ap-965	33	5	to	to	ADP
ap-965	33	6	the	the	DET
ap-965	33	7	structural	structural	ADJ
ap-965	33	8	properties	property	NOUN
ap-965	33	9	of	of	ADP
ap-965	33	10	extended	extended	ADJ
ap-965	33	11	supersymmetries	supersymmetry	NOUN
ap-965	33	12	in	in	ADP
ap-965	33	13	one	one	NUM
ap-965	33	14	dimension	dimension	NOUN
ap-965	33	15	.	.	PUNCT
ap-965	34	1	several	several	ADJ
ap-965	34	2	results	result	NOUN
ap-965	34	3	are	be	AUX
ap-965	34	4	presented	present	VERB
ap-965	34	5	on	on	ADP
ap-965	34	6	the	the	DET
ap-965	34	7	classification	classification	NOUN
ap-965	34	8	of	of	ADP
ap-965	34	9	linear	linear	ADJ
ap-965	34	10	,	,	PUNCT
ap-965	34	11	irreducible	irreducible	ADJ
ap-965	34	12	representations	representation	NOUN
ap-965	34	13	realized	realize	VERB
ap-965	34	14	on	on	ADP
ap-965	34	15	a	a	DET
ap-965	34	16	finite	finite	ADJ
ap-965	34	17	number	number	NOUN
ap-965	34	18	of	of	ADP
ap-965	34	19	time	time	NOUN
ap-965	34	20	-	-	PUNCT
ap-965	34	21	dependent	dependent	ADJ
ap-965	34	22	fields	field	NOUN
ap-965	34	23	.	.	PUNCT
ap-965	35	1	the	the	DET
ap-965	35	2	connections	connection	NOUN
ap-965	35	3	between	between	ADP
ap-965	35	4	supersymmetry	supersymmetry	NOUN
ap-965	35	5	transformations	transformation	NOUN
ap-965	35	6	,	,	PUNCT
ap-965	35	7	clifford	clifford	PROPN
ap-965	35	8	algebras	algebras	PROPN
ap-965	35	9	and	and	CCONJ
ap-965	35	10	division	division	NOUN
ap-965	35	11	algebras	algebra	NOUN
ap-965	35	12	are	be	AUX
ap-965	35	13	discussed	discuss	VERB
ap-965	35	14	.	.	PUNCT
ap-965	36	1	a	a	DET
ap-965	36	2	manifestly	manifestly	ADV
ap-965	36	3	supersymmetric	supersymmetric	ADJ
ap-965	36	4	framework	framework	NOUN
ap-965	36	5	for	for	ADP
ap-965	36	6	constructing	construct	VERB
ap-965	36	7	invariants	invariant	NOUN
ap-965	36	8	without	without	ADP
ap-965	36	9	using	use	VERB
ap-965	36	10	the	the	DET
ap-965	36	11	notion	notion	NOUN
ap-965	36	12	of	of	ADP
ap-965	36	13	superfields	superfield	NOUN
ap-965	36	14	is	be	AUX
ap-965	36	15	presented	present	VERB
ap-965	36	16	.	.	PUNCT
ap-965	37	1	a	a	DET
ap-965	37	2	few	few	ADJ
ap-965	37	3	examples	example	NOUN
ap-965	37	4	of	of	ADP
ap-965	37	5	one	one	NUM
ap-965	37	6	-	-	PUNCT
ap-965	37	7	dimensional	dimensional	ADJ
ap-965	37	8	,	,	PUNCT
ap-965	37	9	n	n	CCONJ
ap-965	37	10	-	-	PUNCT
ap-965	37	11	extended	extend	VERB
ap-965	37	12	,	,	PUNCT
ap-965	37	13	off	off	ADP
ap-965	37	14	-	-	PUNCT
ap-965	37	15	shell	shell	NOUN
ap-965	37	16	invariant	invariant	ADJ
ap-965	37	17	sigma	sigma	NOUN
ap-965	37	18	models	model	NOUN
ap-965	37	19	are	be	AUX
ap-965	37	20	computed	compute	VERB
ap-965	37	21	.	.	PUNCT
ap-965	38	1	the	the	DET
ap-965	38	2	relation	relation	NOUN
ap-965	38	3	between	between	ADP
ap-965	38	4	supersymmetry	supersymmetry	NOUN
ap-965	38	5	transformations	transformation	NOUN
ap-965	38	6	and	and	CCONJ
ap-965	38	7	graph	graph	NOUN
ap-965	38	8	theory	theory	NOUN
ap-965	38	9	is	be	AUX
ap-965	38	10	outlined	outline	VERB
ap-965	38	11	.	.	PUNCT
ap-965	39	1	the	the	DET
ap-965	39	2	notion	notion	NOUN
ap-965	39	3	of	of	ADP
ap-965	39	4	the	the	DET
ap-965	39	5	fusion	fusion	NOUN
ap-965	39	6	algebra	algebra	NOUN
ap-965	39	7	of	of	ADP
ap-965	39	8	irreps	irreps	ADJ
ap-965	39	9	tensor	tensor	NOUN
ap-965	39	10	products	product	NOUN
ap-965	39	11	is	be	AUX
ap-965	39	12	presented	present	VERB
ap-965	39	13	.	.	PUNCT
ap-965	40	1	the	the	DET
ap-965	40	2	relevance	relevance	NOUN
ap-965	40	3	of	of	ADP
ap-965	40	4	one	one	NUM
ap-965	40	5	-	-	PUNCT
ap-965	40	6	dimensional	dimensional	ADJ
ap-965	40	7	supersymmetric	supersymmetric	ADJ
ap-965	40	8	quantum	quantum	NOUN
ap-965	40	9	mechanics	mechanic	NOUN
ap-965	40	10	as	as	ADP
ap-965	40	11	a	a	DET
ap-965	40	12	way	way	NOUN
ap-965	40	13	to	to	PART
ap-965	40	14	extract	extract	VERB
ap-965	40	15	information	information	NOUN
ap-965	40	16	on	on	ADP
ap-965	40	17	higher	high	ADJ
ap-965	40	18	dimensional	dimensional	ADJ
ap-965	40	19	supersymmetric	supersymmetric	ADJ
ap-965	40	20	field	field	NOUN
ap-965	40	21	theories	theory	NOUN
ap-965	40	22	is	be	AUX
ap-965	40	23	discussed	discuss	VERB
ap-965	40	24	.	.	PUNCT
ap-965	41	1	keywords	keyword	NOUN
ap-965	41	2	:	:	PUNCT
ap-965	41	3	supersymmetric	supersymmetric	ADJ
ap-965	41	4	quantum	quantum	NOUN
ap-965	41	5	mechanics	mechanic	NOUN
ap-965	41	6	,	,	PUNCT
ap-965	41	7	m	m	NOUN
ap-965	41	8	-	-	NOUN
ap-965	41	9	theory	theory	NOUN
ap-965	41	10	.	.	PUNCT
ap-965	42	1	`	`	PUNCT
ap-965	42	2	2	2	NUM
ap-965	42	3	n	n	DET
ap-965	42	4	extended	extended	ADJ
ap-965	42	5	supersymmetries	supersymmetry	NOUN
ap-965	42	6	in	in	ADP
ap-965	42	7	d	d	PROPN
ap-965	42	8	�	�	PROPN
ap-965	42	9	1	1	NUM
ap-965	42	10	and	and	CCONJ
ap-965	42	11	dimensional	dimensional	ADJ
ap-965	42	12	reduction	reduction	NOUN
ap-965	42	13	of	of	ADP
ap-965	42	14	supersymmetric	supersymmetric	ADJ
ap-965	42	15	theories	theory	NOUN
ap-965	42	16	in	in	ADP
ap-965	42	17	higher	high	ADJ
ap-965	42	18	dimensions	dimension	NOUN
ap-965	42	19	one	one	NUM
ap-965	42	20	important	important	ADJ
ap-965	42	21	motivation	motivation	NOUN
ap-965	42	22	for	for	ADP
ap-965	42	23	investigating	investigate	VERB
ap-965	42	24	n	n	DET
ap-965	42	25	extended	extended	ADJ
ap-965	42	26	supersymmetries	supersymmetry	NOUN
ap-965	42	27	in	in	ADP
ap-965	42	28	one	one	NUM
ap-965	42	29	dimension	dimension	NOUN
ap-965	42	30	is	be	AUX
ap-965	42	31	the	the	DET
ap-965	42	32	fact	fact	NOUN
ap-965	42	33	that	that	SCONJ
ap-965	42	34	their	their	PRON
ap-965	42	35	rich	rich	ADJ
ap-965	42	36	algebraic	algebraic	ADJ
ap-965	42	37	setting	setting	NOUN
ap-965	42	38	can	can	AUX
ap-965	42	39	furnish	furnish	VERB
ap-965	42	40	useful	useful	ADJ
ap-965	42	41	information	information	NOUN
ap-965	42	42	concerning	concern	VERB
ap-965	42	43	the	the	DET
ap-965	42	44	construction	construction	NOUN
ap-965	42	45	of	of	ADP
ap-965	42	46	supersymmetric	supersymmetric	ADJ
ap-965	42	47	theories	theory	NOUN
ap-965	42	48	in	in	ADP
ap-965	42	49	a	a	DET
ap-965	42	50	higher	high	ADJ
ap-965	42	51	dimension	dimension	NOUN
ap-965	42	52	(	(	PUNCT
ap-965	42	53	such	such	ADJ
ap-965	42	54	as	as	ADP
ap-965	42	55	super	super	ADJ
ap-965	42	56	-	-	ADJ
ap-965	42	57	yang	yang	NOUN
ap-965	42	58	-	-	PUNCT
ap-965	42	59	mills	mill	NOUN
ap-965	42	60	,	,	PUNCT
ap-965	42	61	supergravity	supergravity	NOUN
ap-965	42	62	,	,	PUNCT
ap-965	42	63	etc	etc	X
ap-965	42	64	.	.	X
ap-965	42	65	)	)	PUNCT
ap-965	42	66	supersymmetric	supersymmetric	ADJ
ap-965	42	67	quantum	quantum	ADJ
ap-965	42	68	mechanics	mechanic	NOUN
ap-965	42	69	with	with	ADP
ap-965	42	70	large	large	ADJ
ap-965	42	71	number	number	NOUN
ap-965	42	72	n	n	ADP
ap-965	42	73	encodes	encode	VERB
ap-965	42	74	large	large	ADJ
ap-965	42	75	information	information	NOUN
ap-965	42	76	of	of	ADP
ap-965	42	77	these	these	DET
ap-965	42	78	theories	theory	NOUN
ap-965	42	79	.	.	PUNCT
ap-965	43	1	the	the	DET
ap-965	43	2	simplest	simple	ADJ
ap-965	43	3	way	way	NOUN
ap-965	43	4	to	to	PART
ap-965	43	5	see	see	VERB
ap-965	43	6	this	this	PRON
ap-965	43	7	is	be	AUX
ap-965	43	8	through	through	ADP
ap-965	43	9	dimensional	dimensional	ADJ
ap-965	43	10	reduction	reduction	NOUN
ap-965	43	11	,	,	PUNCT
ap-965	43	12	where	where	SCONJ
ap-965	43	13	all	all	DET
ap-965	43	14	space	space	NOUN
ap-965	43	15	-	-	PUNCT
ap-965	43	16	dimensions	dimension	NOUN
ap-965	43	17	are	be	AUX
ap-965	43	18	frozen	frozen	ADJ
ap-965	43	19	and	and	CCONJ
ap-965	43	20	the	the	DET
ap-965	43	21	only	only	ADJ
ap-965	43	22	remaining	remain	VERB
ap-965	43	23	dependence	dependence	NOUN
ap-965	43	24	is	be	AUX
ap-965	43	25	in	in	ADP
ap-965	43	26	terms	term	NOUN
ap-965	43	27	of	of	ADP
ap-965	43	28	a	a	DET
ap-965	43	29	time	time	NOUN
ap-965	43	30	-	-	PUNCT
ap-965	43	31	like	like	ADJ
ap-965	43	32	coordinate	coordinate	NOUN
ap-965	43	33	.	.	PUNCT
ap-965	44	1	the	the	DET
ap-965	44	2	usefulness	usefulness	NOUN
ap-965	44	3	of	of	ADP
ap-965	44	4	this	this	DET
ap-965	44	5	procedure	procedure	NOUN
ap-965	44	6	is	be	AUX
ap-965	44	7	due	due	ADJ
ap-965	44	8	to	to	ADP
ap-965	44	9	the	the	DET
ap-965	44	10	fact	fact	NOUN
ap-965	44	11	that	that	SCONJ
ap-965	44	12	in	in	ADP
ap-965	44	13	such	such	DET
ap-965	44	14	a	a	DET
ap-965	44	15	framework	framework	NOUN
ap-965	44	16	we	we	PRON
ap-965	44	17	can	can	AUX
ap-965	44	18	make	make	VERB
ap-965	44	19	use	use	NOUN
ap-965	44	20	of	of	ADP
ap-965	44	21	powerful	powerful	ADJ
ap-965	44	22	mathematical	mathematical	ADJ
ap-965	44	23	tools	tool	NOUN
ap-965	44	24	(	(	PUNCT
ap-965	44	25	essentially	essentially	ADV
ap-965	44	26	based	base	VERB
ap-965	44	27	on	on	ADP
ap-965	44	28	the	the	DET
ap-965	44	29	available	available	ADJ
ap-965	44	30	classification	classification	NOUN
ap-965	44	31	of	of	ADP
ap-965	44	32	clifford	clifford	PROPN
ap-965	44	33	algebras	algebras	PROPN
ap-965	44	34	)	)	PUNCT
ap-965	44	35	which	which	PRON
ap-965	44	36	are	be	AUX
ap-965	44	37	not	not	PART
ap-965	44	38	available	available	ADJ
ap-965	44	39	in	in	ADP
ap-965	44	40	higher	high	ADJ
ap-965	44	41	dimensions	dimension	NOUN
ap-965	44	42	.	.	PUNCT
ap-965	45	1	it	it	PRON
ap-965	45	2	should	should	AUX
ap-965	45	3	be	be	AUX
ap-965	45	4	remembered	remember	VERB
ap-965	45	5	that	that	SCONJ
ap-965	45	6	a	a	DET
ap-965	45	7	four	four	NUM
ap-965	45	8	-	-	PUNCT
ap-965	45	9	dimensional	dimensional	ADJ
ap-965	45	10	field	field	NOUN
ap-965	45	11	theory	theory	NOUN
ap-965	45	12	with	with	ADP
ap-965	45	13	n	n	CCONJ
ap-965	45	14	extended	extended	ADJ
ap-965	45	15	supersymmetries	supersymmetry	NOUN
ap-965	45	16	corresponds	correspond	VERB
ap-965	45	17	,	,	PUNCT
ap-965	45	18	once	once	SCONJ
ap-965	45	19	it	it	PRON
ap-965	45	20	is	be	AUX
ap-965	45	21	dimensionally	dimensionally	ADV
ap-965	45	22	reduced	reduce	VERB
ap-965	45	23	to	to	ADP
ap-965	45	24	one	one	NUM
ap-965	45	25	-	-	PUNCT
ap-965	45	26	dimension	dimension	NOUN
ap-965	45	27	,	,	PUNCT
ap-965	45	28	to	to	ADP
ap-965	45	29	a	a	DET
ap-965	45	30	supersymmetric	supersymmetric	ADJ
ap-965	45	31	quantum	quantum	NOUN
ap-965	45	32	mechanics	mechanic	NOUN
ap-965	45	33	with	with	ADP
ap-965	45	34	four	four	NUM
ap-965	45	35	times	time	NOUN
ap-965	45	36	(	(	PUNCT
ap-965	45	37	4n	4n	X
ap-965	45	38	)	)	PUNCT
ap-965	45	39	the	the	DET
ap-965	45	40	number	number	NOUN
ap-965	45	41	of	of	ADP
ap-965	45	42	the	the	DET
ap-965	45	43	original	original	ADJ
ap-965	45	44	extended	extended	ADJ
ap-965	45	45	supersymmetries	supersymmetry	NOUN
ap-965	45	46	[	[	X
ap-965	45	47	7	7	NUM
ap-965	45	48	]	]	PUNCT
ap-965	45	49	.	.	PUNCT
ap-965	46	1	the	the	DET
ap-965	46	2	most	most	ADV
ap-965	46	3	interesting	interesting	ADJ
ap-965	46	4	case	case	NOUN
ap-965	46	5	,	,	PUNCT
ap-965	46	6	in	in	ADP
ap-965	46	7	the	the	DET
ap-965	46	8	context	context	NOUN
ap-965	46	9	of	of	ADP
ap-965	46	10	the	the	DET
ap-965	46	11	unification	unification	NOUN
ap-965	46	12	program	program	NOUN
ap-965	46	13	,	,	PUNCT
ap-965	46	14	corresponds	correspond	VERB
ap-965	46	15	to	to	ADP
ap-965	46	16	eleven	eleven	NUM
ap-965	46	17	-	-	PUNCT
ap-965	46	18	dimensional	dimensional	ADJ
ap-965	46	19	supergravity	supergravity	NOUN
ap-965	46	20	(	(	PUNCT
ap-965	46	21	the	the	DET
ap-965	46	22	low	low	ADJ
ap-965	46	23	-	-	PUNCT
ap-965	46	24	energy	energy	NOUN
ap-965	46	25	limit	limit	NOUN
ap-965	46	26	of	of	ADP
ap-965	46	27	m	m	NOUN
ap-965	46	28	-	-	NOUN
ap-965	46	29	theory	theory	NOUN
ap-965	46	30	)	)	PUNCT
ap-965	46	31	,	,	PUNCT
ap-965	46	32	which	which	PRON
ap-965	46	33	is	be	AUX
ap-965	46	34	reduced	reduce	VERB
ap-965	46	35	to	to	ADP
ap-965	46	36	an	an	DET
ap-965	46	37	n	n	X
ap-965	46	38	�	�	PROPN
ap-965	46	39	8	8	NUM
ap-965	46	40	four	four	NUM
ap-965	46	41	-	-	PUNCT
ap-965	46	42	dimensional	dimensional	ADJ
ap-965	46	43	theory	theory	NOUN
ap-965	46	44	and	and	CCONJ
ap-965	46	45	later	later	ADV
ap-965	46	46	to	to	ADP
ap-965	46	47	an	an	DET
ap-965	46	48	n	n	X
ap-965	46	49	�	�	PROPN
ap-965	46	50	32	32	NUM
ap-965	46	51	one	one	NUM
ap-965	46	52	-	-	PUNCT
ap-965	46	53	dimensional	dimensional	ADJ
ap-965	46	54	supersymmetric	supersymmetric	ADJ
ap-965	46	55	quantum	quantum	ADJ
ap-965	46	56	mechanical	mechanical	ADJ
ap-965	46	57	system	system	NOUN
ap-965	46	58	.	.	PUNCT
ap-965	47	1	in	in	ADP
ap-965	47	2	this	this	DET
ap-965	47	3	section	section	NOUN
ap-965	47	4	we	we	PRON
ap-965	47	5	will	will	AUX
ap-965	47	6	discuss	discuss	VERB
ap-965	47	7	the	the	DET
ap-965	47	8	dimensional	dimensional	ADJ
ap-965	47	9	reduction	reduction	NOUN
ap-965	47	10	of	of	ADP
ap-965	47	11	supersymmetric	supersymmetric	ADJ
ap-965	47	12	theories	theory	NOUN
ap-965	47	13	from	from	ADP
ap-965	47	14	d	d	PROPN
ap-965	47	15	�	�	PROPN
ap-965	47	16	4	4	NUM
ap-965	47	17	to	to	ADP
ap-965	47	18	d	d	PROPN
ap-965	47	19	�	�	PROPN
ap-965	47	20	1	1	NUM
ap-965	47	21	in	in	ADP
ap-965	47	22	some	some	DET
ap-965	47	23	specific	specific	ADJ
ap-965	47	24	examples	example	NOUN
ap-965	47	25	.	.	PUNCT
ap-965	48	1	we	we	PRON
ap-965	48	2	will	will	AUX
ap-965	48	3	prove	prove	VERB
ap-965	48	4	how	how	SCONJ
ap-965	48	5	certain	certain	ADJ
ap-965	48	6	d	d	X
ap-965	48	7	�	�	PROPN
ap-965	48	8	4	4	NUM
ap-965	48	9	problems	problem	NOUN
ap-965	48	10	can	can	AUX
ap-965	48	11	be	be	AUX
ap-965	48	12	reformulated	reformulate	VERB
ap-965	48	13	in	in	ADP
ap-965	48	14	a	a	DET
ap-965	48	15	d	d	X
ap-965	48	16	�	�	PROPN
ap-965	48	17	1language	1language	NUM
ap-965	48	18	.	.	PUNCT
ap-965	49	1	it	it	PRON
ap-965	49	2	is	be	AUX
ap-965	49	3	convenient	convenient	ADJ
ap-965	49	4	to	to	PART
ap-965	49	5	start	start	VERB
ap-965	49	6	with	with	ADP
ap-965	49	7	a	a	DET
ap-965	49	8	dimensional	dimensional	ADJ
ap-965	49	9	analysis	analysis	NOUN
ap-965	49	10	of	of	ADP
ap-965	49	11	the	the	DET
ap-965	49	12	following	follow	VERB
ap-965	49	13	theories	theory	NOUN
ap-965	49	14	:	:	PUNCT
ap-965	49	15	i	i	X
ap-965	49	16	)	)	PUNCT
ap-965	49	17	the	the	DET
ap-965	49	18	free	free	ADJ
ap-965	49	19	particle	particle	NOUN
ap-965	49	20	in	in	ADP
ap-965	49	21	one	one	NUM
ap-965	49	22	(	(	PUNCT
ap-965	49	23	time	time	NOUN
ap-965	49	24	)	)	PUNCT
ap-965	49	25	dimension	dimension	NOUN
ap-965	49	26	(	(	PUNCT
ap-965	49	27	d	d	NOUN
ap-965	49	28	�	�	PROPN
ap-965	49	29	1	1	NUM
ap-965	49	30	)	)	PUNCT
ap-965	49	31	and	and	CCONJ
ap-965	49	32	,	,	PUNCT
ap-965	49	33	for	for	ADP
ap-965	49	34	the	the	DET
ap-965	49	35	ordinary	ordinary	ADJ
ap-965	49	36	minkowski	minkowski	ADJ
ap-965	49	37	space	space	NOUN
ap-965	49	38	-	-	PUNCT
ap-965	49	39	time	time	NOUN
ap-965	49	40	(	(	PUNCT
ap-965	49	41	d	d	X
ap-965	49	42	�	�	PROPN
ap-965	49	43	4	4	NUM
ap-965	49	44	)	)	PUNCT
ap-965	49	45	,	,	PUNCT
ap-965	49	46	iia	iia	PROPN
ap-965	49	47	)	)	PUNCT
ap-965	49	48	the	the	DET
ap-965	49	49	scalar	scalar	ADJ
ap-965	49	50	boson	boson	NOUN
ap-965	49	51	theory	theory	NOUN
ap-965	49	52	(	(	PUNCT
ap-965	49	53	with	with	ADP
ap-965	49	54	quartic	quartic	ADJ
ap-965	49	55	potential	potential	ADJ
ap-965	49	56	�	�	PROPN
ap-965	49	57	�	�	PROPN
ap-965	49	58	4	4	NUM
ap-965	49	59	4	4	NUM
ap-965	49	60	!	!	PUNCT
ap-965	49	61	)	)	PUNCT
ap-965	49	62	,	,	PUNCT
ap-965	49	63	iib	iib	PROPN
ap-965	49	64	)	)	PUNCT
ap-965	49	65	the	the	DET
ap-965	49	66	yang	yang	PROPN
ap-965	49	67	-	-	PUNCT
ap-965	49	68	mills	mill	NOUN
ap-965	49	69	theory	theory	NOUN
ap-965	49	70	and	and	CCONJ
ap-965	49	71	,	,	PUNCT
ap-965	49	72	finally	finally	ADV
ap-965	49	73	,	,	PUNCT
ap-965	49	74	iic	iic	PROPN
ap-965	49	75	)	)	PUNCT
ap-965	49	76	the	the	DET
ap-965	49	77	gravity	gravity	NOUN
ap-965	49	78	theory	theory	NOUN
ap-965	49	79	(	(	PUNCT
ap-965	49	80	expressed	express	VERB
ap-965	49	81	in	in	ADP
ap-965	49	82	the	the	DET
ap-965	49	83	vierbein	vierbein	ADJ
ap-965	49	84	formalism	formalism	NOUN
ap-965	49	85	)	)	PUNCT
ap-965	49	86	.	.	PUNCT
ap-965	50	1	we	we	PRON
ap-965	50	2	further	far	ADV
ap-965	50	3	make	make	VERB
ap-965	50	4	a	a	DET
ap-965	50	5	dimensional	dimensional	ADJ
ap-965	50	6	analysis	analysis	NOUN
ap-965	50	7	of	of	ADP
ap-965	50	8	the	the	DET
ap-965	50	9	above	above	ADJ
ap-965	50	10	three	three	NUM
ap-965	50	11	theories	theory	NOUN
ap-965	50	12	when	when	SCONJ
ap-965	50	13	dimensionally	dimensionally	ADV
ap-965	50	14	reduced	reduce	VERB
ap-965	50	15	(	(	PUNCT
ap-965	50	16	a	a	X
ap-965	50	17	la	la	X
ap-965	50	18	scherk	scherk	NOUN
ap-965	50	19	)	)	PUNCT
ap-965	50	20	to	to	ADP
ap-965	50	21	a	a	DET
ap-965	50	22	one	one	NUM
ap-965	50	23	(	(	PUNCT
ap-965	50	24	time	time	NOUN
ap-965	50	25	)	)	PUNCT
ap-965	50	26	dimensional	dimensional	ADJ
ap-965	50	27	d	d	X
ap-965	50	28	�	�	PROPN
ap-965	50	29	1quantum	1quantum	NUM
ap-965	50	30	mechanical	mechanical	ADJ
ap-965	50	31	system	system	NOUN
ap-965	50	32	.	.	PUNCT
ap-965	51	1	in	in	ADP
ap-965	51	2	the	the	DET
ap-965	51	3	following	following	NOUN
ap-965	51	4	we	we	PRON
ap-965	51	5	will	will	AUX
ap-965	51	6	repeat	repeat	VERB
ap-965	51	7	the	the	DET
ap-965	51	8	dimensional	dimensional	ADJ
ap-965	51	9	analysis	analysis	NOUN
ap-965	51	10	for	for	ADP
ap-965	51	11	the	the	DET
ap-965	51	12	supersymmetric	supersymmetric	ADJ
ap-965	51	13	version	version	NOUN
ap-965	51	14	of	of	ADP
ap-965	51	15	these	these	DET
ap-965	51	16	theories	theory	NOUN
ap-965	51	17	.	.	PUNCT
ap-965	52	1	case	case	NOUN
ap-965	52	2	i	i	NOUN
ap-965	52	3	)	)	PUNCT
ap-965	52	4	–	–	PUNCT
ap-965	52	5	the	the	DET
ap-965	52	6	d	d	PROPN
ap-965	52	7	�	�	PROPN
ap-965	52	8	1	1	NUM
ap-965	52	9	free	free	ADJ
ap-965	52	10	particle	particle	NOUN
ap-965	52	11	it	it	PRON
ap-965	52	12	is	be	AUX
ap-965	52	13	described	describe	VERB
ap-965	52	14	by	by	ADP
ap-965	52	15	a	a	DET
ap-965	52	16	dimensionless	dimensionless	NOUN
ap-965	52	17	action	action	NOUN
ap-965	52	18	s	s	AUX
ap-965	52	19	given	give	VERB
ap-965	52	20	by	by	ADP
ap-965	52	21	s	s	PART
ap-965	52	22	m	m	VERB
ap-965	52	23	dt	dt	PRON
ap-965	52	24	�	�	PROPN
ap-965	52	25	�	�	PROPN
ap-965	52	26	1	1	NUM
ap-965	52	27	2	2	NUM
ap-965	52	28	�	�	PROPN
ap-965	52	29	�	�	PROPN
ap-965	52	30	.	.	PUNCT
ap-965	53	1	(	(	PUNCT
ap-965	53	2	2.1	2.1	NUM
ap-965	53	3	)	)	PUNCT
ap-965	53	4	the	the	DET
ap-965	53	5	dot	dot	NOUN
ap-965	53	6	denotes	denote	NOUN
ap-965	53	7	,	,	PUNCT
ap-965	53	8	as	as	ADP
ap-965	53	9	usual	usual	ADJ
ap-965	53	10	,	,	PUNCT
ap-965	53	11	the	the	DET
ap-965	53	12	time	time	NOUN
ap-965	53	13	derivative	derivative	ADJ
ap-965	53	14	.	.	PUNCT
ap-965	54	1	the	the	DET
ap-965	54	2	dimensionality	dimensionality	NOUN
ap-965	54	3	of	of	ADP
ap-965	54	4	the	the	DET
ap-965	54	5	time	time	NOUN
ap-965	54	6	t	t	PROPN
ap-965	54	7	is	be	AUX
ap-965	54	8	the	the	DET
ap-965	54	9	inverse	inverse	NOUN
ap-965	54	10	of	of	ADP
ap-965	54	11	the	the	DET
ap-965	54	12	mass;	mass;	PROPN
ap-965	54	13	we	we	PRON
ap-965	54	14	can	can	AUX
ap-965	54	15	therefore	therefore	ADV
ap-965	54	16	set	set	VERB
ap-965	54	17	(	(	PUNCT
ap-965	54	18	[	[	PUNCT
ap-965	54	19	]	]	X
ap-965	54	20	t	t	X
ap-965	54	21	�	�	PROPN
ap-965	54	22	�	�	PROPN
ap-965	54	23	1	1	NUM
ap-965	54	24	)	)	PUNCT
ap-965	54	25	.	.	PUNCT
ap-965	55	1	by	by	ADP
ap-965	55	2	assuming	assume	VERB
ap-965	55	3	�	�	PROPN
ap-965	55	4	being	be	AUX
ap-965	55	5	dimensionless	dimensionless	NOUN
ap-965	55	6	(	(	PUNCT
ap-965	55	7	[	[	PUNCT
ap-965	55	8	]	]	X
ap-965	55	9	�	�	PROPN
ap-965	55	10	�	�	PROPN
ap-965	55	11	0	0	NUM
ap-965	55	12	)	)	PUNCT
ap-965	55	13	,	,	PUNCT
ap-965	55	14	an	an	DET
ap-965	55	15	overall	overall	ADJ
ap-965	55	16	constant	constant	ADJ
ap-965	55	17	(	(	PUNCT
ap-965	55	18	written	write	VERB
ap-965	55	19	as	as	ADP
ap-965	55	20	1	1	NUM
ap-965	55	21	m	m	NOUN
ap-965	55	22	)	)	PUNCT
ap-965	55	23	of	of	ADP
ap-965	55	24	mass	mass	ADJ
ap-965	55	25	dimension	dimension	NOUN
ap-965	55	26	�	�	PROPN
ap-965	55	27	1has	1has	NUM
ap-965	55	28	to	to	PART
ap-965	55	29	be	be	AUX
ap-965	55	30	inserted	insert	VERB
ap-965	55	31	to	to	PART
ap-965	55	32	make	make	VERB
ap-965	55	33	s	s	PRON
ap-965	55	34	non	non	ADJ
ap-965	55	35	-	-	ADJ
ap-965	55	36	dimensional	dimensional	ADJ
ap-965	55	37	.	.	PUNCT
ap-965	55	38	summarizing	summarizing	NOUN
ap-965	55	39	,	,	PUNCT
ap-965	55	40	we	we	PRON
ap-965	55	41	have	have	VERB
ap-965	55	42	,	,	PUNCT
ap-965	55	43	for	for	ADP
ap-965	55	44	the	the	DET
ap-965	55	45	above	above	PROPN
ap-965	55	46	d	d	PROPN
ap-965	55	47	�	�	PROPN
ap-965	55	48	1model	1model	NUM
ap-965	55	49	,	,	PUNCT
ap-965	55	50	[	[	PUNCT
ap-965	55	51	]	]	X
ap-965	55	52	,	,	PUNCT
ap-965	55	53	[	[	PUNCT
ap-965	55	54	]	]	X
ap-965	55	55	,	,	PUNCT
ap-965	55	56	[	[	PUNCT
ap-965	55	57	]	]	X
ap-965	55	58	,	,	PUNCT
ap-965	55	59	[	[	PUNCT
ap-965	55	60	]	]	X
ap-965	55	61	,	,	PUNCT
ap-965	55	62	[	[	PUNCT
ap-965	55	63	]	]	X
ap-965	55	64	.	.	PUNCT
ap-965	56	1	t	t	PROPN
ap-965	56	2	t	t	PROPN
ap-965	56	3	m	m	PROPN
ap-965	56	4	s	s	PROPN
ap-965	56	5	d	d	X
ap-965	56	6	d	d	PROPN
ap-965	56	7	d	d	PROPN
ap-965	56	8	d	d	X
ap-965	56	9	d	d	X
ap-965	56	10	�	�	PROPN
ap-965	56	11	�	�	PROPN
ap-965	56	12	�	�	PROPN
ap-965	56	13	�	�	PROPN
ap-965	56	14	�	�	PROPN
ap-965	56	15	�	�	PROPN
ap-965	56	16	�	�	PROPN
ap-965	56	17	�	�	PROPN
ap-965	56	18	�	�	PROPN
ap-965	56	19	�	�	PROPN
ap-965	56	20	�	�	PROPN
ap-965	56	21	1	1	NUM
ap-965	56	22	1	1	NUM
ap-965	56	23	1	1	NUM
ap-965	56	24	1	1	NUM
ap-965	56	25	1	1	NUM
ap-965	56	26	1	1	NUM
ap-965	56	27	1	1	NUM
ap-965	56	28	0	0	NUM
ap-965	56	29	1	1	NUM
ap-965	56	30	0	0	NUM
ap-965	56	31	�	�	PROPN
ap-965	56	32	�	�	PROPN
ap-965	56	33	�	�	PROPN
ap-965	56	34	(	(	PUNCT
ap-965	56	35	2.2	2.2	NUM
ap-965	56	36	)	)	PUNCT
ap-965	56	37	the	the	DET
ap-965	56	38	suffix	suffix	PROPN
ap-965	56	39	d	d	PROPN
ap-965	56	40	�	�	NOUN
ap-965	56	41	1	1	NUM
ap-965	56	42	has	have	AUX
ap-965	56	43	been	be	AUX
ap-965	56	44	added	add	VERB
ap-965	56	45	for	for	ADP
ap-965	56	46	later	later	ADJ
ap-965	56	47	convenience	convenience	NOUN
ap-965	56	48	,	,	PUNCT
ap-965	56	49	since	since	SCONJ
ap-965	56	50	the	the	DET
ap-965	56	51	theory	theory	NOUN
ap-965	56	52	corresponds	correspond	VERB
ap-965	56	53	to	to	ADP
ap-965	56	54	a	a	DET
ap-965	56	55	one	one	NUM
ap-965	56	56	-	-	PUNCT
ap-965	56	57	dimensional	dimensional	ADJ
ap-965	56	58	model	model	NOUN
ap-965	56	59	.	.	PUNCT
ap-965	57	1	case	case	NOUN
ap-965	57	2	iia	iia	NOUN
ap-965	57	3	)	)	PUNCT
ap-965	57	4	–	–	PUNCT
ap-965	57	5	the	the	DET
ap-965	57	6	d	d	PROPN
ap-965	57	7	�	�	PROPN
ap-965	57	8	4	4	NUM
ap-965	57	9	scalar	scalar	ADJ
ap-965	57	10	boson	boson	NOUN
ap-965	57	11	theory	theory	NOUN
ap-965	57	12	the	the	DET
ap-965	57	13	action	action	NOUN
ap-965	57	14	can	can	AUX
ap-965	57	15	be	be	AUX
ap-965	57	16	presented	present	VERB
ap-965	57	17	as	as	ADP
ap-965	57	18	s	s	PROPN
ap-965	57	19	d	d	PROPN
ap-965	57	20	x	x	SYM
ap-965	57	21	m	m	VERB
ap-965	57	22	�	�	PROPN
ap-965	57	23	�	�	PROPN
ap-965	57	24	�	�	PROPN
ap-965	57	25	�	�	PROPN
ap-965	57	26	�	�	PROPN
ap-965	57	27	�	�	PROPN
ap-965	57	28	�	�	PROPN
ap-965	57	29	�	�	PROPN
ap-965	57	30	4	4	NUM
ap-965	57	31	2	2	NUM
ap-965	57	32	2	2	NUM
ap-965	57	33	41	41	NUM
ap-965	57	34	2	2	NUM
ap-965	57	35	1	1	NUM
ap-965	57	36	2	2	NUM
ap-965	57	37	1	1	NUM
ap-965	57	38	4	4	NUM
ap-965	57	39	�	�	PROPN
ap-965	57	40	�	�	PROPN
ap-965	57	41	�	�	PROPN
ap-965	57	42	�	�	PROPN
ap-965	57	43	�	�	PROPN
ap-965	57	44	�	�	PROPN
ap-965	57	45	�	�	PROPN
ap-965	57	46	�	�	PROPN
ap-965	57	47	�	�	PROPN
ap-965	57	48	!	!	PUNCT
ap-965	58	1	(	(	PUNCT
ap-965	58	2	2.3	2.3	NUM
ap-965	58	3	)	)	PUNCT
ap-965	58	4	a	a	DET
ap-965	58	5	non	non	ADJ
ap-965	58	6	-	-	ADJ
ap-965	58	7	dimensional	dimensional	ADJ
ap-965	58	8	action	action	NOUN
ap-965	58	9	s	s	VERB
ap-965	58	10	is	be	AUX
ap-965	58	11	obtained	obtain	VERB
ap-965	58	12	by	by	ADP
ap-965	58	13	setting	set	VERB
ap-965	58	14	,	,	PUNCT
ap-965	58	15	in	in	ADP
ap-965	58	16	mass	mass	ADJ
ap-965	58	17	dimension	dimension	NOUN
ap-965	58	18	,	,	PUNCT
ap-965	58	19	[	[	PUNCT
ap-965	58	20	]	]	X
ap-965	58	21	,	,	PUNCT
ap-965	58	22	[	[	PUNCT
ap-965	58	23	]	]	X
ap-965	58	24	,	,	PUNCT
ap-965	58	25	[	[	PUNCT
ap-965	58	26	]	]	X
ap-965	58	27	,	,	PUNCT
ap-965	58	28	[	[	PUNCT
ap-965	58	29	]	]	X
ap-965	58	30	.	.	PUNCT
ap-965	59	1	�	�	PROPN
ap-965	59	2	�	�	PROPN
ap-965	60	1	d	d	PROPN
ap-965	60	2	d	d	PROPN
ap-965	60	3	d	d	X
ap-965	60	4	d	d	PROPN
ap-965	60	5	m	m	VERB
ap-965	60	6	�	�	PROPN
ap-965	60	7	�	�	PROPN
ap-965	60	8	�	�	PROPN
ap-965	60	9	�	�	PROPN
ap-965	60	10	�	�	PROPN
ap-965	60	11	�	�	PROPN
ap-965	60	12	�	�	PROPN
ap-965	60	13	�	�	PROPN
ap-965	60	14	4	4	NUM
ap-965	60	15	4	4	NUM
ap-965	60	16	4	4	NUM
ap-965	60	17	4	4	NUM
ap-965	60	18	1	1	NUM
ap-965	60	19	1	1	NUM
ap-965	60	20	1	1	NUM
ap-965	60	21	0	0	NUM
ap-965	60	22	�	�	PROPN
ap-965	60	23	�	�	PROPN
ap-965	60	24	(	(	PUNCT
ap-965	60	25	2.4	2.4	NUM
ap-965	60	26	)	)	PUNCT
ap-965	60	27	case	case	NOUN
ap-965	60	28	iib	iib	NOUN
ap-965	60	29	)	)	PUNCT
ap-965	60	30	–	–	PUNCT
ap-965	60	31	the	the	DET
ap-965	60	32	d	d	PROPN
ap-965	60	33	�	�	PROPN
ap-965	60	34	4	4	NUM
ap-965	60	35	pure	pure	ADJ
ap-965	60	36	qed	qed	PROPN
ap-965	60	37	or	or	CCONJ
ap-965	60	38	yang	yang	PROPN
ap-965	60	39	-	-	PUNCT
ap-965	60	40	mills	mill	NOUN
ap-965	60	41	theories	theorie	VERB
ap-965	60	42	the	the	DET
ap-965	60	43	gauge	gauge	ADV
ap-965	60	44	-	-	PUNCT
ap-965	60	45	invariant	invariant	ADJ
ap-965	60	46	action	action	NOUN
ap-965	60	47	is	be	AUX
ap-965	60	48	given	give	VERB
ap-965	60	49	by	by	ADP
ap-965	60	50	s	s	NOUN
ap-965	60	51	e	e	NOUN
ap-965	60	52	d	d	PROPN
ap-965	60	53	x	x	X
ap-965	60	54	f	f	PROPN
ap-965	60	55	f	f	X
ap-965	60	56	�	�	PROPN
ap-965	60	57	�	�	PROPN
ap-965	60	58	1	1	NUM
ap-965	60	59	2	2	NUM
ap-965	60	60	4	4	NUM
ap-965	60	61	tr	tr	VERB
ap-965	60	62	(	(	PUNCT
ap-965	60	63	)	)	PUNCT
ap-965	60	64	�	�	PROPN
ap-965	60	65	�	�	PROPN
ap-965	60	66	�	�	PROPN
ap-965	60	67	�	�	PROPN
ap-965	60	68	,	,	PUNCT
ap-965	60	69	(	(	PUNCT
ap-965	60	70	2.5	2.5	NUM
ap-965	60	71	)	)	PUNCT
ap-965	60	72	where	where	SCONJ
ap-965	60	73	the	the	DET
ap-965	60	74	antisymmetric	antisymmetric	ADJ
ap-965	60	75	stress	stress	NOUN
ap-965	60	76	-	-	PUNCT
ap-965	60	77	energy	energy	NOUN
ap-965	60	78	tensor	tensor	NOUN
ap-965	60	79	f	f	PROPN
ap-965	60	80	�	�	PROPN
ap-965	60	81	�	�	PROPN
ap-965	60	82	is	be	AUX
ap-965	60	83	given	give	VERB
ap-965	60	84	by	by	ADP
ap-965	60	85	f	f	PROPN
ap-965	60	86	d	d	PROPN
ap-965	60	87	d	d	PROPN
ap-965	60	88	�	�	PROPN
ap-965	60	89	�	�	PROPN
ap-965	60	90	�	�	PROPN
ap-965	60	91	�	�	PROPN
ap-965	60	92	�	�	PROPN
ap-965	60	93	[	[	PUNCT
ap-965	60	94	,	,	PUNCT
ap-965	60	95	]	]	X
ap-965	60	96	,	,	PUNCT
ap-965	60	97	(	(	PUNCT
ap-965	60	98	2.6	2.6	NUM
ap-965	60	99	)	)	PUNCT
ap-965	60	100	with	with	ADP
ap-965	60	101	d	d	PROPN
ap-965	60	102	�	�	PROPN
ap-965	60	103	the	the	DET
ap-965	60	104	covariant	covariant	PROPN
ap-965	60	105	derivative	derivative	NOUN
ap-965	60	106	,	,	PUNCT
ap-965	60	107	expressed	express	VERB
ap-965	60	108	in	in	ADP
ap-965	60	109	terms	term	NOUN
ap-965	60	110	of	of	ADP
ap-965	60	111	the	the	DET
ap-965	60	112	gauge	gauge	NOUN
ap-965	60	113	connection	connection	NOUN
ap-965	60	114	a	a	DET
ap-965	60	115	�	�	PROPN
ap-965	60	116	d	d	PROPN
ap-965	60	117	ea	ea	PROPN
ap-965	60	118	�	�	PROPN
ap-965	60	119	�	�	PROPN
ap-965	60	120	�	�	PROPN
ap-965	60	121	�	�	PROPN
ap-965	60	122	�	�	PROPN
ap-965	60	123	�	�	PROPN
ap-965	60	124	.	.	PUNCT
ap-965	61	1	(	(	PUNCT
ap-965	61	2	2.7	2.7	NUM
ap-965	61	3	)	)	PUNCT
ap-965	61	4	e	e	NOUN
ap-965	61	5	is	be	AUX
ap-965	61	6	the	the	DET
ap-965	61	7	charge	charge	NOUN
ap-965	61	8	(	(	PUNCT
ap-965	61	9	the	the	DET
ap-965	61	10	electric	electric	ADJ
ap-965	61	11	charge	charge	NOUN
ap-965	61	12	for	for	ADP
ap-965	61	13	qed	qed	PROPN
ap-965	61	14	)	)	PUNCT
ap-965	61	15	.	.	PUNCT
ap-965	62	1	the	the	DET
ap-965	62	2	action	action	NOUN
ap-965	62	3	is	be	AUX
ap-965	62	4	non	non	ADJ
ap-965	62	5	-	-	ADJ
ap-965	62	6	dimensional	dimensional	ADJ
ap-965	62	7	,	,	PUNCT
ap-965	62	8	provided	provide	VERB
ap-965	62	9	that	that	SCONJ
ap-965	62	10	[	[	X
ap-965	62	11	]	]	X
ap-965	62	12	,	,	PUNCT
ap-965	62	13	[	[	PUNCT
ap-965	62	14	]	]	X
ap-965	62	15	,	,	PUNCT
ap-965	62	16	[	[	X
ap-965	62	17	]	]	X
ap-965	62	18	.	.	PUNCT
ap-965	63	1	a	a	DET
ap-965	63	2	f	f	X
ap-965	63	3	e	e	PROPN
ap-965	63	4	d	d	PROPN
ap-965	63	5	d	d	X
ap-965	63	6	d	d	PROPN
ap-965	63	7	�	�	PROPN
ap-965	63	8	�	�	PROPN
ap-965	63	9	�	�	PROPN
ap-965	63	10	�	�	PROPN
ap-965	63	11	�	�	PROPN
ap-965	63	12	�	�	PROPN
ap-965	63	13	�	�	PROPN
ap-965	63	14	�	�	PROPN
ap-965	63	15	�	�	PROPN
ap-965	63	16	4	4	NUM
ap-965	63	17	4	4	NUM
ap-965	63	18	4	4	NUM
ap-965	63	19	1	1	NUM
ap-965	63	20	2	2	NUM
ap-965	63	21	0	0	NUM
ap-965	63	22	(	(	PUNCT
ap-965	63	23	2.8	2.8	NUM
ap-965	63	24	)	)	PUNCT
ap-965	63	25	case	case	NOUN
ap-965	63	26	iic	iic	PROPN
ap-965	63	27	)	)	PUNCT
ap-965	63	28	–	–	PUNCT
ap-965	63	29	the	the	DET
ap-965	63	30	pure	pure	ADJ
ap-965	63	31	gravity	gravity	NOUN
ap-965	63	32	case	case	NOUN
ap-965	63	33	the	the	DET
ap-965	63	34	action	action	NOUN
ap-965	63	35	is	be	AUX
ap-965	63	36	constructed	construct	VERB
ap-965	63	37	,	,	PUNCT
ap-965	63	38	see	see	VERB
ap-965	63	39	[	[	X
ap-965	63	40	19	19	NUM
ap-965	63	41	]	]	PUNCT
ap-965	63	42	for	for	ADP
ap-965	63	43	details	detail	NOUN
ap-965	63	44	,	,	PUNCT
ap-965	63	45	in	in	ADP
ap-965	63	46	terms	term	NOUN
ap-965	63	47	of	of	ADP
ap-965	63	48	the	the	DET
ap-965	63	49	determinant	determinant	ADJ
ap-965	63	50	e	e	NOUN
ap-965	63	51	of	of	ADP
ap-965	63	52	the	the	DET
ap-965	63	53	vierbein	vierbein	PROPN
ap-965	63	54	ea	ea	PROPN
ap-965	63	55	�	�	PROPN
ap-965	63	56	and	and	CCONJ
ap-965	63	57	the	the	DET
ap-965	63	58	curvature	curvature	NOUN
ap-965	63	59	scalar	scalar	ADJ
ap-965	63	60	r.	r.	PROPN
ap-965	64	1	it	it	PRON
ap-965	64	2	is	be	AUX
ap-965	64	3	given	give	VERB
ap-965	64	4	by	by	ADP
ap-965	64	5	s	s	PROPN
ap-965	64	6	g	g	NOUN
ap-965	64	7	d	d	PROPN
ap-965	64	8	x	x	SYM
ap-965	64	9	er	er	INTJ
ap-965	64	10	n	n	CCONJ
ap-965	64	11	�	�	PROPN
ap-965	64	12	�	�	PROPN
ap-965	64	13	�	�	PROPN
ap-965	64	14	6	6	NUM
ap-965	64	15	8	8	NUM
ap-965	64	16	4	4	NUM
ap-965	64	17	.	.	PUNCT
ap-965	65	1	(	(	PUNCT
ap-965	65	2	2.9	2.9	NUM
ap-965	65	3	)	)	PUNCT
ap-965	65	4	the	the	DET
ap-965	65	5	overall	overall	ADJ
ap-965	65	6	constant	constant	ADJ
ap-965	65	7	(	(	PUNCT
ap-965	65	8	essentially	essentially	ADV
ap-965	65	9	the	the	DET
ap-965	65	10	inverse	inverse	NOUN
ap-965	65	11	of	of	ADP
ap-965	65	12	the	the	DET
ap-965	65	13	gravitational	gravitational	ADJ
ap-965	65	14	constant	constant	PROPN
ap-965	65	15	gn	gn	PROPN
ap-965	65	16	)	)	PUNCT
ap-965	65	17	is	be	AUX
ap-965	65	18	now	now	ADV
ap-965	65	19	dimensional	dimensional	ADJ
ap-965	65	20	(	(	PUNCT
ap-965	65	21	[	[	PUNCT
ap-965	65	22	]	]	X
ap-965	65	23	gn	gn	PROPN
ap-965	65	24	d	d	PROPN
ap-965	65	25	�	�	PROPN
ap-965	65	26	�	�	PROPN
ap-965	65	27	�	�	PROPN
ap-965	65	28	4	4	NUM
ap-965	65	29	2	2	NUM
ap-965	65	30	)	)	PUNCT
ap-965	65	31	.	.	PUNCT
ap-965	66	1	the	the	DET
ap-965	66	2	non	non	ADJ
ap-965	66	3	-	-	ADJ
ap-965	66	4	dimensional	dimensional	ADJ
ap-965	66	5	action	action	NOUN
ap-965	66	6	is	be	AUX
ap-965	66	7	recovered	recover	VERB
ap-965	66	8	by	by	ADP
ap-965	66	9	setting	set	VERB
ap-965	66	10	[	[	PUNCT
ap-965	66	11	]	]	X
ap-965	66	12	,	,	PUNCT
ap-965	66	13	[	[	PUNCT
ap-965	66	14	]	]	PUNCT
ap-965	66	15	.	.	PUNCT
ap-965	67	1	e	e	X
ap-965	67	2	r	r	NOUN
ap-965	67	3	a	a	PROPN
ap-965	67	4	d	d	X
ap-965	67	5	d	d	X
ap-965	67	6	�	�	PROPN
ap-965	67	7	�	�	PROPN
ap-965	67	8	�	�	PROPN
ap-965	67	9	�	�	PROPN
ap-965	67	10	�	�	PROPN
ap-965	67	11	4	4	NUM
ap-965	67	12	4	4	NUM
ap-965	67	13	0	0	NUM
ap-965	67	14	2	2	NUM
ap-965	67	15	(	(	PUNCT
ap-965	67	16	2.10	2.10	NUM
ap-965	67	17	)	)	PUNCT
ap-965	67	18	let	let	VERB
ap-965	67	19	us	we	PRON
ap-965	67	20	now	now	ADV
ap-965	67	21	discuss	discuss	VERB
ap-965	67	22	the	the	DET
ap-965	67	23	dimensional	dimensional	ADJ
ap-965	67	24	reduction	reduction	NOUN
ap-965	67	25	from	from	ADP
ap-965	67	26	d	d	PROPN
ap-965	67	27	d	d	PROPN
ap-965	67	28	�	�	PROPN
ap-965	67	29	�	�	PROPN
ap-965	67	30	4	4	NUM
ap-965	67	31	1	1	NUM
ap-965	67	32	.	.	PUNCT
ap-965	68	1	let	let	VERB
ap-965	68	2	us	we	PRON
ap-965	68	3	suppose	suppose	VERB
ap-965	68	4	that	that	SCONJ
ap-965	68	5	the	the	DET
ap-965	68	6	three	three	NUM
ap-965	68	7	space	space	NOUN
ap-965	68	8	dimensions	dimension	NOUN
ap-965	68	9	belong	belong	VERB
ap-965	68	10	to	to	ADP
ap-965	68	11	some	some	DET
ap-965	68	12	compact	compact	ADJ
ap-965	68	13	manifold	manifold	ADJ
ap-965	68	14	m	m	PROPN
ap-965	68	15	(	(	PUNCT
ap-965	68	16	e.g.	e.g.	ADV
ap-965	68	17	the	the	DET
ap-965	68	18	three	three	NUM
ap-965	68	19	-	-	PUNCT
ap-965	68	20	sphere	sphere	NOUN
ap-965	68	21	s3	s3	PROPN
ap-965	68	22	)	)	PUNCT
ap-965	68	23	and	and	CCONJ
ap-965	68	24	let	let	VERB
ap-965	68	25	us	we	PRON
ap-965	68	26	freeze	freeze	VERB
ap-965	68	27	the	the	DET
ap-965	68	28	dependence	dependence	NOUN
ap-965	68	29	of	of	ADP
ap-965	68	30	the	the	DET
ap-965	68	31	fields	field	NOUN
ap-965	68	32	on	on	ADP
ap-965	68	33	the	the	DET
ap-965	68	34	space	space	NOUN
ap-965	68	35	-	-	PUNCT
ap-965	68	36	dimen	diman	NOUN
ap-965	68	37	©	©	PROPN
ap-965	68	38	czech	czech	PROPN
ap-965	68	39	technical	technical	PROPN
ap-965	68	40	university	university	PROPN
ap-965	68	41	publishing	publishing	NOUN
ap-965	68	42	house	house	NOUN
ap-965	68	43	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	68	44	59	59	NUM
ap-965	68	45	acta	acta	PROPN
ap-965	68	46	polytechnica	polytechnica	PROPN
ap-965	68	47	vol	vol	NOUN
ap-965	68	48	.	.	PUNCT
ap-965	69	1	48	48	NUM
ap-965	69	2	no	no	NOUN
ap-965	69	3	.	.	PUNCT
ap-965	70	1	2/2008	2/2008	PROPN
ap-965	70	2	sions	sion	NOUN
ap-965	70	3	(	(	PUNCT
ap-965	70	4	application	application	NOUN
ap-965	70	5	of	of	ADP
ap-965	70	6	the	the	DET
ap-965	70	7	time	time	NOUN
ap-965	70	8	derivative	derivative	PROPN
ap-965	70	9	�	�	PROPN
ap-965	70	10	0	0	NUM
ap-965	70	11	leads	lead	VERB
ap-965	70	12	to	to	ADP
ap-965	70	13	non	non	ADJ
ap-965	70	14	-	-	ADJ
ap-965	70	15	vanishing	vanishing	ADJ
ap-965	70	16	results	result	NOUN
ap-965	70	17	,	,	PUNCT
ap-965	70	18	while	while	SCONJ
ap-965	70	19	application	application	NOUN
ap-965	70	20	of	of	ADP
ap-965	70	21	the	the	DET
ap-965	70	22	space	space	NOUN
ap-965	70	23	-	-	PUNCT
ap-965	70	24	derivatives	derivative	NOUN
ap-965	70	25	�	�	NOUN
ap-965	70	26	i	i	PRON
ap-965	70	27	,	,	PUNCT
ap-965	70	28	for	for	ADP
ap-965	70	29	i	i	PRON
ap-965	70	30	�	�	VERB
ap-965	70	31	1	1	NUM
ap-965	70	32	2	2	NUM
ap-965	70	33	3	3	NUM
ap-965	70	34	,	,	PUNCT
ap-965	70	35	,	,	PUNCT
ap-965	70	36	,	,	PUNCT
ap-965	70	37	gives	give	VERB
ap-965	70	38	zero	zero	NUM
ap-965	70	39	)	)	PUNCT
ap-965	70	40	.	.	PUNCT
ap-965	71	1	our	our	PRON
ap-965	71	2	space	space	NOUN
ap-965	71	3	-	-	PUNCT
ap-965	71	4	time	time	NOUN
ap-965	71	5	is	be	AUX
ap-965	71	6	now	now	ADV
ap-965	71	7	given	give	VERB
ap-965	71	8	by	by	ADP
ap-965	71	9	r	r	PROPN
ap-965	71	10	�	�	PROPN
ap-965	71	11	m.	m.	NOUN
ap-965	71	12	we	we	PRON
ap-965	71	13	get	get	VERB
ap-965	71	14	that	that	SCONJ
ap-965	71	15	the	the	DET
ap-965	71	16	integration	integration	NOUN
ap-965	71	17	over	over	ADP
ap-965	71	18	the	the	DET
ap-965	71	19	three	three	NUM
ap-965	71	20	space	space	NOUN
ap-965	71	21	variables	variable	NOUN
ap-965	71	22	contributes	contribute	VERB
ap-965	71	23	just	just	ADV
ap-965	71	24	to	to	ADP
ap-965	71	25	an	an	DET
ap-965	71	26	overall	overall	ADJ
ap-965	71	27	factor	factor	NOUN
ap-965	71	28	,	,	PUNCT
ap-965	71	29	the	the	DET
ap-965	71	30	volume	volume	NOUN
ap-965	71	31	of	of	ADP
ap-965	71	32	the	the	DET
ap-965	71	33	three	three	NUM
ap-965	71	34	-	-	PUNCT
ap-965	71	35	dimensional	dimensional	ADJ
ap-965	71	36	manifold	manifold	ADJ
ap-965	71	37	m.	m.	NOUN
ap-965	71	38	therefore	therefore	ADV
ap-965	71	39	d	d	X
ap-965	71	40	x	x	SYM
ap-965	71	41	vol	vol	NOUN
ap-965	71	42	dtm	dtm	PROPN
ap-965	71	43	4	4	NUM
ap-965	71	44	�	�	PROPN
ap-965	71	45	�	�	PROPN
ap-965	71	46	�	�	PROPN
ap-965	71	47	.	.	PUNCT
ap-965	72	1	(	(	PUNCT
ap-965	72	2	2.11	2.11	NUM
ap-965	72	3	)	)	PUNCT
ap-965	72	4	since	since	SCONJ
ap-965	72	5	[	[	PUNCT
ap-965	72	6	]	]	X
ap-965	72	7	volm	volm	ADJ
ap-965	72	8	d	d	PROPN
ap-965	72	9	�	�	PROPN
ap-965	72	10	�	�	PROPN
ap-965	72	11	�	�	PROPN
ap-965	72	12	4	4	NUM
ap-965	72	13	3	3	NUM
ap-965	72	14	(	(	PUNCT
ap-965	72	15	2.12	2.12	NUM
ap-965	72	16	)	)	PUNCT
ap-965	72	17	we	we	PRON
ap-965	72	18	can	can	AUX
ap-965	72	19	express	express	VERB
ap-965	72	20	vol	vol	NOUN
ap-965	72	21	m	m	NOUN
ap-965	72	22	�	�	PROPN
ap-965	72	23	1	1	NUM
ap-965	72	24	3	3	NUM
ap-965	72	25	,	,	PUNCT
ap-965	72	26	where	where	SCONJ
ap-965	72	27	m	m	NOUN
ap-965	72	28	is	be	AUX
ap-965	72	29	a	a	DET
ap-965	72	30	mass	mass	ADJ
ap-965	72	31	-	-	PUNCT
ap-965	72	32	term	term	NOUN
ap-965	72	33	.	.	PUNCT
ap-965	73	1	a	a	DET
ap-965	73	2	factor	factor	NOUN
ap-965	73	3	1	1	NUM
ap-965	73	4	m	m	NOUN
ap-965	73	5	contributes	contribute	VERB
ap-965	73	6	as	as	ADP
ap-965	73	7	an	an	DET
ap-965	73	8	overall	overall	ADJ
ap-965	73	9	factor	factor	NOUN
ap-965	73	10	in	in	ADP
ap-965	73	11	one	one	NUM
ap-965	73	12	-	-	PUNCT
ap-965	73	13	dimensional	dimensional	ADJ
ap-965	73	14	theory	theory	NOUN
ap-965	73	15	,	,	PUNCT
ap-965	73	16	while	while	SCONJ
ap-965	73	17	the	the	DET
ap-965	73	18	remaining	remain	VERB
ap-965	73	19	part	part	NOUN
ap-965	73	20	1	1	NUM
ap-965	73	21	2	2	NUM
ap-965	73	22	m	m	NOUN
ap-965	73	23	can	can	AUX
ap-965	73	24	be	be	AUX
ap-965	73	25	used	use	VERB
ap-965	73	26	to	to	PART
ap-965	73	27	rescale	rescale	VERB
ap-965	73	28	the	the	DET
ap-965	73	29	fields	field	NOUN
ap-965	73	30	.	.	PUNCT
ap-965	74	1	we	we	PRON
ap-965	74	2	have	have	VERB
ap-965	74	3	,	,	PUNCT
ap-965	74	4	e.g.	e.g.	ADV
ap-965	74	5	,	,	PUNCT
ap-965	74	6	for	for	ADP
ap-965	74	7	dimensional	dimensional	ADJ
ap-965	74	8	reduction	reduction	NOUN
ap-965	74	9	of	of	ADP
ap-965	74	10	the	the	DET
ap-965	74	11	scalar	scalar	ADJ
ap-965	74	12	boson	boson	NOUN
ap-965	74	13	theory	theory	NOUN
ap-965	74	14	that	that	SCONJ
ap-965	74	15	�	�	PROPN
ap-965	74	16	�	�	PROPN
ap-965	74	17	d	d	PROPN
ap-965	74	18	dm	dm	PROPN
ap-965	74	19	�	�	PROPN
ap-965	74	20	�	�	PROPN
ap-965	74	21	�	�	PROPN
ap-965	74	22	1	1	NUM
ap-965	74	23	4	4	NUM
ap-965	74	24	1	1	NUM
ap-965	74	25	.	.	PUNCT
ap-965	75	1	(	(	PUNCT
ap-965	75	2	2.13	2.13	NUM
ap-965	75	3	)	)	PUNCT
ap-965	75	4	the	the	DET
ap-965	75	5	dimensional	dimensional	ADJ
ap-965	75	6	reduction	reduction	NOUN
ap-965	75	7	of	of	ADP
ap-965	75	8	the	the	DET
ap-965	75	9	scalar	scalar	ADJ
ap-965	75	10	boson	boson	PROPN
ap-965	75	11	theory	theory	PROPN
ap-965	75	12	ii	ii	PROPN
ap-965	75	13	a	a	PRON
ap-965	75	14	)	)	PUNCT
ap-965	75	15	is	be	AUX
ap-965	75	16	therefore	therefore	ADV
ap-965	75	17	given	give	VERB
ap-965	75	18	by	by	ADP
ap-965	75	19	s	s	NOUN
ap-965	75	20	m	m	NOUN
ap-965	75	21	dt	dt	NOUN
ap-965	75	22	m	m	PROPN
ap-965	75	23	d	d	PROPN
ap-965	75	24	�	�	PROPN
ap-965	75	25	�	�	PROPN
ap-965	75	26	�	�	PROPN
ap-965	75	27	�	�	PROPN
ap-965	75	28	�	�	PROPN
ap-965	75	29	�	�	PROPN
ap-965	75	30	�	�	PROPN
ap-965	75	31	�	�	PROPN
ap-965	75	32	�	�	PROPN
ap-965	75	33	1	1	NUM
ap-965	75	34	1	1	NUM
ap-965	75	35	2	2	NUM
ap-965	75	36	1	1	NUM
ap-965	75	37	2	2	NUM
ap-965	75	38	1	1	NUM
ap-965	75	39	4	4	NUM
ap-965	75	40	2	2	NUM
ap-965	75	41	2	2	NUM
ap-965	75	42	2	2	NUM
ap-965	75	43	1	1	NUM
ap-965	75	44	4	4	NUM
ap-965	75	45	�	�	PROPN
ap-965	75	46	!	!	PUNCT
ap-965	76	1	�	�	PROPN
ap-965	76	2	�	�	PROPN
ap-965	76	3	�	�	PROPN
ap-965	76	4	�	�	PROPN
ap-965	76	5	(	(	PUNCT
ap-965	76	6	2.14	2.14	NUM
ap-965	76	7	)	)	PUNCT
ap-965	76	8	where	where	SCONJ
ap-965	76	9	we	we	PRON
ap-965	76	10	have	have	VERB
ap-965	76	11	[	[	PUNCT
ap-965	76	12	]	]	X
ap-965	76	13	,	,	PUNCT
ap-965	76	14	[	[	PUNCT
ap-965	76	15	]	]	X
ap-965	76	16	,	,	PUNCT
ap-965	76	17	[	[	PUNCT
ap-965	76	18	]	]	X
ap-965	76	19	.	.	PUNCT
ap-965	77	1	�	�	PROPN
ap-965	77	2	�	�	PROPN
ap-965	78	1	d	d	PROPN
ap-965	78	2	d	d	PROPN
ap-965	78	3	d	d	PROPN
ap-965	78	4	m	m	VERB
ap-965	78	5	�	�	PROPN
ap-965	78	6	�	�	PROPN
ap-965	78	7	�	�	PROPN
ap-965	78	8	�	�	PROPN
ap-965	78	9	�	�	PROPN
ap-965	78	10	�	�	PROPN
ap-965	78	11	1	1	NUM
ap-965	78	12	1	1	NUM
ap-965	78	13	1	1	NUM
ap-965	78	14	1	1	NUM
ap-965	78	15	0	0	NUM
ap-965	78	16	1	1	NUM
ap-965	78	17	2	2	NUM
ap-965	78	18	(	(	PUNCT
ap-965	78	19	2.15	2.15	NUM
ap-965	78	20	)	)	PUNCT
ap-965	78	21	the	the	DET
ap-965	78	22	d	d	PROPN
ap-965	78	23	�	�	PROPN
ap-965	78	24	1	1	NUM
ap-965	78	25	coupling	couple	VERB
ap-965	78	26	constant	constant	ADJ
ap-965	78	27	�	�	NOUN
ap-965	78	28	1	1	NUM
ap-965	78	29	is	be	AUX
ap-965	78	30	related	relate	VERB
ap-965	78	31	to	to	ADP
ap-965	78	32	the	the	DET
ap-965	78	33	d	d	PROPN
ap-965	78	34	�	�	PROPN
ap-965	78	35	4	4	NUM
ap-965	78	36	non	non	ADJ
ap-965	78	37	-	-	ADJ
ap-965	78	38	dimensional	dimensional	ADJ
ap-965	78	39	coupling	coupling	NOUN
ap-965	78	40	constant	constant	ADJ
ap-965	78	41	�	�	NOUN
ap-965	78	42	by	by	ADP
ap-965	78	43	the	the	DET
ap-965	78	44	relation	relation	NOUN
ap-965	78	45	�	�	PROPN
ap-965	78	46	�	�	PROPN
ap-965	78	47	1	1	NUM
ap-965	78	48	2	2	NUM
ap-965	78	49	�	�	PROPN
ap-965	78	50	m	m	PROPN
ap-965	78	51	.	.	PUNCT
ap-965	79	1	(	(	PUNCT
ap-965	79	2	2.16	2.16	NUM
ap-965	79	3	)	)	PUNCT
ap-965	79	4	we	we	PRON
ap-965	79	5	proceed	proceed	VERB
ap-965	79	6	in	in	ADP
ap-965	79	7	a	a	DET
ap-965	79	8	similar	similar	ADJ
ap-965	79	9	way	way	NOUN
ap-965	79	10	in	in	ADP
ap-965	79	11	the	the	DET
ap-965	79	12	case	case	NOUN
ap-965	79	13	of	of	ADP
ap-965	79	14	yang	yang	PROPN
ap-965	79	15	-	-	PUNCT
ap-965	79	16	mills	mill	NOUN
ap-965	79	17	theory	theory	NOUN
ap-965	79	18	.	.	PUNCT
ap-965	80	1	we	we	PRON
ap-965	80	2	can	can	AUX
ap-965	80	3	rescale	rescale	VERB
ap-965	80	4	the	the	DET
ap-965	80	5	d	d	PROPN
ap-965	80	6	�	�	PROPN
ap-965	80	7	4	4	NUM
ap-965	80	8	yang	yang	PROPN
ap-965	80	9	-	-	PUNCT
ap-965	80	10	mills	mill	NOUN
ap-965	80	11	fields	field	VERB
ap-965	80	12	a	a	DET
ap-965	80	13	�	�	PROPN
ap-965	80	14	to	to	ADP
ap-965	80	15	the	the	DET
ap-965	80	16	d	d	PROPN
ap-965	80	17	�	�	PROPN
ap-965	80	18	1	1	NUM
ap-965	80	19	fields	field	NOUN
ap-965	80	20	b	b	NOUN
ap-965	80	21	am	be	AUX
ap-965	80	22	�	�	PROPN
ap-965	80	23	�	�	PROPN
ap-965	80	24	�	�	PROPN
ap-965	80	25	1	1	NUM
ap-965	80	26	.	.	PUNCT
ap-965	81	1	the	the	DET
ap-965	81	2	d	d	PROPN
ap-965	81	3	�	�	PROPN
ap-965	81	4	1charge	1charge	NUM
ap-965	81	5	e	e	NOUN
ap-965	81	6	is	be	AUX
ap-965	81	7	rescaled	rescale	VERB
ap-965	81	8	to	to	ADP
ap-965	81	9	e	e	PROPN
ap-965	81	10	e	e	PROPN
ap-965	81	11	m1	m1	PROPN
ap-965	81	12	�	�	PROPN
ap-965	81	13	.	.	PUNCT
ap-965	82	1	we	we	PRON
ap-965	82	2	have	have	VERB
ap-965	82	3	,	,	PUNCT
ap-965	82	4	symbolically	symbolically	ADV
ap-965	82	5	,	,	PUNCT
ap-965	82	6	for	for	ADP
ap-965	82	7	the	the	DET
ap-965	82	8	dimensionally	dimensionally	ADV
ap-965	82	9	reduced	reduce	VERB
ap-965	82	10	action	action	NOUN
ap-965	82	11	,	,	PUNCT
ap-965	82	12	a	a	DET
ap-965	82	13	sum	sum	NOUN
ap-965	82	14	of	of	ADP
ap-965	82	15	terms	term	NOUN
ap-965	82	16	of	of	ADP
ap-965	82	17	the	the	DET
ap-965	82	18	type	type	NOUN
ap-965	82	19	�	�	PROPN
ap-965	82	20	�	�	PROPN
ap-965	82	21	s	s	PART
ap-965	82	22	m	m	NOUN
ap-965	82	23	dt	dt	NOUN
ap-965	82	24	b	b	PROPN
ap-965	82	25	e	e	X
ap-965	82	26	bb	bb	NOUN
ap-965	82	27	e	e	PROPN
ap-965	82	28	b	b	PROPN
ap-965	82	29	�	�	PROPN
ap-965	82	30	�	�	PROPN
ap-965	82	31	�	�	PROPN
ap-965	82	32	�	�	PROPN
ap-965	82	33	1	1	NUM
ap-965	82	34	2	2	NUM
ap-965	82	35	1	1	NUM
ap-965	82	36	2	2	NUM
ap-965	82	37	1	1	NUM
ap-965	82	38	2	2	NUM
ap-965	82	39	4	4	NUM
ap-965	82	40	�	�	PROPN
ap-965	82	41	�	�	PROPN
ap-965	82	42	,	,	PUNCT
ap-965	82	43	(	(	PUNCT
ap-965	82	44	2.17	2.17	NUM
ap-965	82	45	)	)	PUNCT
ap-965	83	1	where	where	SCONJ
ap-965	83	2	[	[	PUNCT
ap-965	83	3	]	]	X
ap-965	83	4	,	,	PUNCT
ap-965	83	5	[	[	PUNCT
ap-965	83	6	]	]	X
ap-965	83	7	.	.	PUNCT
ap-965	84	1	b	b	X
ap-965	84	2	e	e	X
ap-965	84	3	d	d	PROPN
ap-965	84	4	d	d	X
ap-965	84	5	�	�	PROPN
ap-965	84	6	�	�	PROPN
ap-965	84	7	�	�	PROPN
ap-965	84	8	�	�	PROPN
ap-965	84	9	1	1	NUM
ap-965	84	10	1	1	NUM
ap-965	84	11	1	1	NUM
ap-965	84	12	0	0	NUM
ap-965	84	13	1	1	NUM
ap-965	84	14	(	(	PUNCT
ap-965	84	15	2.18	2.18	NUM
ap-965	84	16	)	)	PUNCT
ap-965	84	17	the	the	DET
ap-965	84	18	situation	situation	NOUN
ap-965	84	19	is	be	AUX
ap-965	84	20	different	different	ADJ
ap-965	84	21	as	as	ADV
ap-965	84	22	far	far	ADV
ap-965	84	23	as	as	SCONJ
ap-965	84	24	gravity	gravity	NOUN
ap-965	84	25	theory	theory	NOUN
ap-965	84	26	is	be	AUX
ap-965	84	27	concerned	concern	VERB
ap-965	84	28	.	.	PUNCT
ap-965	85	1	in	in	ADP
ap-965	85	2	that	that	DET
ap-965	85	3	case	case	NOUN
ap-965	85	4	the	the	DET
ap-965	85	5	overall	overall	ADJ
ap-965	85	6	factor	factor	NOUN
ap-965	85	7	vol	vol	NOUN
ap-965	85	8	gm	gm	PROPN
ap-965	85	9	n	n	PRON
ap-965	85	10	produces	produce	VERB
ap-965	85	11	the	the	DET
ap-965	85	12	dimensionally	dimensionally	ADV
ap-965	85	13	correct	correct	ADJ
ap-965	85	14	1	1	NUM
ap-965	85	15	m	m	NOUN
ap-965	85	16	overall	overall	ADJ
ap-965	85	17	factor	factor	NOUN
ap-965	85	18	of	of	ADP
ap-965	85	19	the	the	DET
ap-965	85	20	one	one	NUM
ap-965	85	21	-	-	PUNCT
ap-965	85	22	dimensional	dimensional	ADJ
ap-965	85	23	theory	theory	NOUN
ap-965	85	24	.	.	PUNCT
ap-965	86	1	this	this	PRON
ap-965	86	2	implies	imply	VERB
ap-965	86	3	that	that	SCONJ
ap-965	86	4	we	we	PRON
ap-965	86	5	do	do	AUX
ap-965	86	6	not	not	PART
ap-965	86	7	need	need	VERB
ap-965	86	8	to	to	PART
ap-965	86	9	rescale	rescale	VERB
ap-965	86	10	the	the	DET
ap-965	86	11	dimensionality	dimensionality	NOUN
ap-965	86	12	of	of	ADP
ap-965	86	13	the	the	DET
ap-965	86	14	vierbein	vierbein	PROPN
ap-965	86	15	ea	ea	PROPN
ap-965	86	16	�	�	PROPN
ap-965	86	17	and	and	CCONJ
ap-965	86	18	of	of	ADP
ap-965	86	19	the	the	DET
ap-965	86	20	curvature	curvature	NOUN
ap-965	86	21	.	.	PUNCT
ap-965	87	1	summarizing	summarizing	NOUN
ap-965	87	2	,	,	PUNCT
ap-965	87	3	we	we	PRON
ap-965	87	4	have	have	VERB
ap-965	87	5	the	the	DET
ap-965	87	6	following	follow	VERB
ap-965	87	7	results	result	NOUN
ap-965	87	8	scalar	scalar	ADJ
ap-965	87	9	boson	boson	NOUN
ap-965	87	10	gauge	gauge	NOUN
ap-965	87	11	c	c	PROPN
ap-965	87	12	�	�	PROPN
ap-965	87	13	�	�	PROPN
ap-965	87	14	�	�	PROPN
ap-965	87	15	:	:	PUNCT
ap-965	87	16	[	[	PUNCT
ap-965	87	17	]	]	X
ap-965	87	18	[	[	PUNCT
ap-965	87	19	]	]	X
ap-965	87	20	d	d	X
ap-965	87	21	d	d	X
ap-965	87	22	�	�	PROPN
ap-965	87	23	�	�	PROPN
ap-965	87	24	�	�	PROPN
ap-965	87	25	�	�	PROPN
ap-965	87	26	4	4	NUM
ap-965	87	27	11	11	NUM
ap-965	87	28	0	0	NUM
ap-965	87	29	onnection	onnection	NOUN
ap-965	87	30	:	:	PUNCT
ap-965	87	31	[	[	PUNCT
ap-965	87	32	[	[	PUNCT
ap-965	87	33	vierbein	vierbein	NOUN
ap-965	87	34	a	a	DET
ap-965	87	35	a	a	DET
ap-965	87	36	ad	ad	NOUN
ap-965	87	37	d	d	PROPN
ap-965	87	38	�	�	PROPN
ap-965	87	39	�	�	PROPN
ap-965	87	40	�	�	PROPN
ap-965	87	41	]	]	PUNCT
ap-965	87	42	]	]	PUNCT
ap-965	87	43	�	�	PROPN
ap-965	87	44	�	�	PROPN
ap-965	87	45	�	�	PROPN
ap-965	87	46	�	�	PROPN
ap-965	87	47	4	4	NUM
ap-965	87	48	11	11	NUM
ap-965	87	49	0	0	NUM
ap-965	88	1	[	[	PUNCT
ap-965	88	2	[	[	PUNCT
ap-965	88	3	electric	electric	ADJ
ap-965	88	4	charge	charge	NOUN
ap-965	88	5	e	e	PROPN
ap-965	88	6	e	e	PROPN
ap-965	88	7	ed	ed	PROPN
ap-965	88	8	d	d	PROPN
ap-965	88	9	�	�	PROPN
ap-965	88	10	�	�	PROPN
ap-965	88	11	�	�	PROPN
ap-965	88	12	:	:	PUNCT
ap-965	88	13	]	]	PUNCT
ap-965	88	14	]	]	X
ap-965	88	15	�	�	PROPN
ap-965	88	16	�	�	PROPN
ap-965	88	17	�	�	PROPN
ap-965	88	18	�	�	PROPN
ap-965	88	19	4	4	NUM
ap-965	88	20	11	11	NUM
ap-965	88	21	0	0	NUM
ap-965	88	22	:	:	PUNCT
ap-965	88	23	[	[	PUNCT
ap-965	88	24	[	[	X
ap-965	88	25	e	e	X
ap-965	88	26	e	e	NOUN
ap-965	88	27	ed	ed	PROPN
ap-965	88	28	d	d	X
ap-965	88	29	]	]	X
ap-965	88	30	]	]	X
ap-965	88	31	�	�	PROPN
ap-965	88	32	�	�	PROPN
ap-965	88	33	�	�	PROPN
ap-965	88	34	�	�	PROPN
ap-965	88	35	4	4	NUM
ap-965	88	36	10	10	NUM
ap-965	88	37	1	1	NUM
ap-965	88	38	(	(	PUNCT
ap-965	88	39	2.19	2.19	NUM
ap-965	88	40	)	)	PUNCT
ap-965	88	41	let	let	VERB
ap-965	88	42	us	we	PRON
ap-965	88	43	now	now	ADV
ap-965	88	44	discuss	discuss	VERB
ap-965	88	45	the	the	DET
ap-965	88	46	n	n	PROPN
ap-965	88	47	�	�	PROPN
ap-965	88	48	1	1	NUM
ap-965	88	49	supersymmetric	supersymmetric	ADJ
ap-965	88	50	version	version	NOUN
ap-965	88	51	of	of	ADP
ap-965	88	52	the	the	DET
ap-965	88	53	three	three	NUM
ap-965	88	54	d	d	PROPN
ap-965	88	55	�	�	PROPN
ap-965	88	56	4	4	NUM
ap-965	88	57	theories	theory	NOUN
ap-965	88	58	above	above	ADV
ap-965	88	59	.	.	PUNCT
ap-965	89	1	first	first	ADV
ap-965	89	2	,	,	PUNCT
ap-965	89	3	we	we	PRON
ap-965	89	4	have	have	VERB
ap-965	89	5	the	the	DET
ap-965	89	6	chiral	chiral	ADJ
ap-965	89	7	multiplet	multiplet	NOUN
ap-965	89	8	,	,	PUNCT
ap-965	89	9	described	describe	VERB
ap-965	89	10	in	in	ADP
ap-965	89	11	[	[	X
ap-965	89	12	19	19	NUM
ap-965	89	13	]	]	PUNCT
ap-965	89	14	,	,	PUNCT
ap-965	89	15	in	in	ADP
ap-965	89	16	terms	term	NOUN
ap-965	89	17	of	of	ADP
ap-965	89	18	the	the	DET
ap-965	89	19	chiral	chiral	ADJ
ap-965	89	20	superfields	superfield	NOUN
ap-965	89	21	�	�	PROPN
ap-965	89	22	,	,	PUNCT
ap-965	89	23	�	�	PROPN
ap-965	89	24	.	.	PUNCT
ap-965	90	1	next	next	ADP
ap-965	90	2	the	the	DET
ap-965	90	3	vector	vector	NOUN
ap-965	90	4	multiplet	multiplet	PROPN
ap-965	90	5	v	v	PROPN
ap-965	90	6	,	,	PUNCT
ap-965	90	7	the	the	DET
ap-965	90	8	vector	vector	NOUN
ap-965	90	9	-	-	PUNCT
ap-965	90	10	multiplet	multiplet	NOUN
ap-965	90	11	in	in	ADP
ap-965	90	12	the	the	DET
ap-965	90	13	wess	wess	NOUN
ap-965	90	14	-	-	PUNCT
ap-965	90	15	zumino	zumino	PROPN
ap-965	90	16	gauge	gauge	NOUN
ap-965	90	17	,	,	PUNCT
ap-965	90	18	the	the	DET
ap-965	90	19	supergravity	supergravity	NOUN
ap-965	90	20	multiplet	multiplet	NOUN
ap-965	90	21	in	in	ADP
ap-965	90	22	terms	term	NOUN
ap-965	90	23	of	of	ADP
ap-965	90	24	vierbein	vierbein	NOUN
ap-965	90	25	and	and	CCONJ
ap-965	90	26	gravitinos	gravitinos	PROPN
ap-965	90	27	and	and	CCONJ
ap-965	90	28	,	,	PUNCT
ap-965	90	29	finally	finally	ADV
ap-965	90	30	,	,	PUNCT
ap-965	90	31	the	the	DET
ap-965	90	32	gauged	gauge	VERB
ap-965	90	33	supergravity	supergravity	NOUN
ap-965	90	34	multiplet	multiplet	NOUN
ap-965	90	35	presenting	present	VERB
ap-965	90	36	an	an	DET
ap-965	90	37	extra	extra	ADJ
ap-965	90	38	set	set	NOUN
ap-965	90	39	of	of	ADP
ap-965	90	40	auxiliary	auxiliary	ADJ
ap-965	90	41	fields	field	NOUN
ap-965	90	42	.	.	PUNCT
ap-965	91	1	the	the	DET
ap-965	91	2	total	total	ADJ
ap-965	91	3	content	content	NOUN
ap-965	91	4	of	of	ADP
ap-965	91	5	fields	field	NOUN
ap-965	91	6	is	be	AUX
ap-965	91	7	given	give	VERB
ap-965	91	8	by	by	ADP
ap-965	91	9	the	the	DET
ap-965	91	10	following	follow	VERB
ap-965	91	11	table	table	NOUN
ap-965	91	12	,	,	PUNCT
ap-965	91	13	which	which	PRON
ap-965	91	14	presents	present	VERB
ap-965	91	15	also	also	ADV
ap-965	91	16	the	the	DET
ap-965	91	17	d	d	PROPN
ap-965	91	18	�	�	PROPN
ap-965	91	19	4	4	NUM
ap-965	91	20	and	and	CCONJ
ap-965	91	21	respectively	respectively	ADV
ap-965	91	22	the	the	DET
ap-965	91	23	d	d	PROPN
ap-965	91	24	�	�	PROPN
ap-965	91	25	1dimensionality	1dimensionality	NUM
ap-965	91	26	of	of	ADP
ap-965	91	27	the	the	DET
ap-965	91	28	fields	field	NOUN
ap-965	91	29	(	(	PUNCT
ap-965	91	30	in	in	ADP
ap-965	91	31	the	the	DET
ap-965	91	32	latter	latter	ADJ
ap-965	91	33	case	case	NOUN
ap-965	91	34	,	,	PUNCT
ap-965	91	35	after	after	ADP
ap-965	91	36	dimensional	dimensional	ADJ
ap-965	91	37	reduction	reduction	NOUN
ap-965	91	38	)	)	PUNCT
ap-965	91	39	.	.	PUNCT
ap-965	92	1	we	we	PRON
ap-965	92	2	have	have	VERB
ap-965	92	3	some	some	DET
ap-965	92	4	comments	comment	NOUN
ap-965	92	5	are	be	AUX
ap-965	92	6	in	in	ADP
ap-965	92	7	order	order	NOUN
ap-965	92	8	:	:	PUNCT
ap-965	92	9	the	the	DET
ap-965	92	10	vector	vector	NOUN
ap-965	92	11	multiplet	multiplet	NOUN
ap-965	92	12	corresponds	correspond	VERB
ap-965	92	13	,	,	PUNCT
ap-965	92	14	in	in	ADP
ap-965	92	15	d	d	PROPN
ap-965	92	16	�	�	PROPN
ap-965	92	17	1language	1language	NUM
ap-965	92	18	,	,	PUNCT
ap-965	92	19	to	to	ADP
ap-965	92	20	the	the	DET
ap-965	92	21	n	n	PROPN
ap-965	92	22	�	�	PROPN
ap-965	92	23	4	4	NUM
ap-965	92	24	“	"	PUNCT
ap-965	92	25	enveloping	envelop	VERB
ap-965	92	26	representation	representation	NOUN
ap-965	92	27	”	"	PUNCT
ap-965	93	1	[	[	X
ap-965	93	2	14	14	NUM
ap-965	93	3	]	]	SYM
ap-965	93	4	(	(	PUNCT
ap-965	93	5	1	1	NUM
ap-965	93	6	,	,	PUNCT
ap-965	93	7	4	4	NUM
ap-965	93	8	,	,	PUNCT
ap-965	93	9	6	6	NUM
ap-965	93	10	,	,	PUNCT
ap-965	93	11	4	4	NUM
ap-965	93	12	,	,	PUNCT
ap-965	93	13	1	1	NUM
ap-965	93	14	)	)	PUNCT
ap-965	93	15	.	.	PUNCT
ap-965	94	1	the	the	DET
ap-965	94	2	latter	latter	ADJ
ap-965	94	3	is	be	AUX
ap-965	94	4	a	a	DET
ap-965	94	5	reducible	reducible	ADJ
ap-965	94	6	,	,	PUNCT
ap-965	94	7	but	but	CCONJ
ap-965	94	8	non	non	ADJ
ap-965	94	9	-	-	ADJ
ap-965	94	10	decomposable	decomposable	ADJ
ap-965	94	11	representation	representation	NOUN
ap-965	94	12	of	of	ADP
ap-965	94	13	the	the	DET
ap-965	94	14	n	n	PRON
ap-965	94	15	�	�	PROPN
ap-965	94	16	4	4	NUM
ap-965	94	17	supersymmetry	supersymmetry	NOUN
ap-965	94	18	.	.	PUNCT
ap-965	95	1	its	its	PRON
ap-965	95	2	irreducible	irreducible	ADJ
ap-965	95	3	multiplets	multiplet	NOUN
ap-965	95	4	are	be	AUX
ap-965	95	5	split	split	VERB
ap-965	95	6	into	into	ADP
ap-965	95	7	(	(	PUNCT
ap-965	95	8	1	1	NUM
ap-965	95	9	,	,	PUNCT
ap-965	95	10	4	4	NUM
ap-965	95	11	,	,	PUNCT
ap-965	95	12	3	3	NUM
ap-965	95	13	,	,	PUNCT
ap-965	95	14	0	0	NUM
ap-965	95	15	,	,	PUNCT
ap-965	95	16	0	0	NUM
ap-965	95	17	)	)	PUNCT
ap-965	95	18	and	and	CCONJ
ap-965	95	19	(	(	PUNCT
ap-965	95	20	0	0	NUM
ap-965	95	21	,	,	PUNCT
ap-965	95	22	0	0	NUM
ap-965	95	23	,	,	PUNCT
ap-965	95	24	3	3	NUM
ap-965	95	25	,	,	PUNCT
ap-965	95	26	4	4	NUM
ap-965	95	27	,	,	PUNCT
ap-965	95	28	1	1	NUM
ap-965	95	29	)	)	PUNCT
ap-965	95	30	.	.	PUNCT
ap-965	96	1	the	the	DET
ap-965	96	2	wess	wess	PROPN
ap-965	96	3	-	-	PUNCT
ap-965	96	4	zumino	zumino	PROPN
ap-965	96	5	gauge	gauge	NOUN
ap-965	96	6	,	,	PUNCT
ap-965	96	7	in	in	ADP
ap-965	96	8	d	d	PROPN
ap-965	96	9	�	�	PROPN
ap-965	96	10	1	1	NUM
ap-965	96	11	language	language	NOUN
ap-965	96	12	,	,	PUNCT
ap-965	96	13	corresponds	correspond	VERB
ap-965	96	14	to	to	ADP
ap-965	96	15	selecting	select	VERB
ap-965	96	16	the	the	DET
ap-965	96	17	latter	latter	ADJ
ap-965	96	18	n	n	PRON
ap-965	96	19	�	�	PROPN
ap-965	96	20	4	4	NUM
ap-965	96	21	irreducible	irreducible	ADJ
ap-965	96	22	multiplet	multiplet	NOUN
ap-965	96	23	,	,	PUNCT
ap-965	96	24	whose	whose	DET
ap-965	96	25	fields	field	NOUN
ap-965	96	26	present	present	VERB
ap-965	96	27	only	only	ADV
ap-965	96	28	non	non	ADJ
ap-965	96	29	-	-	ADJ
ap-965	96	30	negative	negative	ADJ
ap-965	96	31	dimensions	dimension	NOUN
ap-965	96	32	.	.	PUNCT
ap-965	97	1	the	the	DET
ap-965	97	2	n	n	PROPN
ap-965	97	3	�	�	PROPN
ap-965	97	4	2	2	NUM
ap-965	97	5	four	four	NUM
ap-965	97	6	-	-	PUNCT
ap-965	97	7	dimensional	dimensional	ADJ
ap-965	97	8	super	super	ADJ
ap-965	97	9	-	-	ADJ
ap-965	97	10	qed	qed	PROPN
ap-965	97	11	involves	involve	VERB
ap-965	97	12	coupling	couple	VERB
ap-965	97	13	a	a	DET
ap-965	97	14	set	set	NOUN
ap-965	97	15	of	of	ADP
ap-965	97	16	chiral	chiral	ADJ
ap-965	97	17	superfields	superfield	NOUN
ap-965	97	18	together	together	ADV
ap-965	97	19	with	with	ADP
ap-965	97	20	the	the	DET
ap-965	97	21	vector	vector	NOUN
ap-965	97	22	multiplet	multiplet	NOUN
ap-965	97	23	.	.	PUNCT
ap-965	98	1	due	due	ADP
ap-965	98	2	to	to	ADP
ap-965	98	3	the	the	DET
ap-965	98	4	dimensional	dimensional	ADJ
ap-965	98	5	analysis	analysis	NOUN
ap-965	98	6	,	,	PUNCT
ap-965	98	7	the	the	DET
ap-965	98	8	corresponding	correspond	VERB
ap-965	98	9	one	one	NUM
ap-965	98	10	-	-	PUNCT
ap-965	98	11	dimensional	dimensional	ADJ
ap-965	98	12	multiplet	multiplet	NOUN
ap-965	98	13	is	be	AUX
ap-965	98	14	the	the	DET
ap-965	98	15	(	(	PUNCT
ap-965	98	16	5	5	NUM
ap-965	98	17	,	,	PUNCT
ap-965	98	18	8	8	NUM
ap-965	98	19	,	,	PUNCT
ap-965	98	20	3	3	X
ap-965	98	21	)	)	PUNCT
ap-965	98	22	irrep	irrep	NOUN
ap-965	98	23	of	of	ADP
ap-965	98	24	n	n	PRON
ap-965	98	25	�	�	NOUN
ap-965	98	26	8	8	NUM
ap-965	98	27	given	give	VERB
ap-965	98	28	by	by	ADP
ap-965	98	29	(	(	PUNCT
ap-965	98	30	2	2	NUM
ap-965	98	31	,	,	PUNCT
ap-965	98	32	4	4	NUM
ap-965	98	33	,	,	PUNCT
ap-965	98	34	2)	2)	NUM
ap-965	98	35	�	�	NOUN
ap-965	98	36	(3	(3	SYM
ap-965	98	37	,	,	PUNCT
ap-965	98	38	4	4	NUM
ap-965	98	39	,	,	PUNCT
ap-965	98	40	1	1	NUM
ap-965	98	41	)	)	PUNCT
ap-965	98	42	.	.	PUNCT
ap-965	99	1	60	60	NUM
ap-965	100	1	©	©	PROPN
ap-965	100	2	czech	czech	PROPN
ap-965	100	3	technical	technical	PROPN
ap-965	100	4	university	university	PROPN
ap-965	100	5	publishing	publishing	NOUN
ap-965	100	6	house	house	NOUN
ap-965	100	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	100	8	acta	acta	PROPN
ap-965	100	9	polytechnica	polytechnica	PROPN
ap-965	100	10	vol	vol	NOUN
ap-965	100	11	.	.	PUNCT
ap-965	101	1	48	48	NUM
ap-965	101	2	no	no	NOUN
ap-965	101	3	.	.	PUNCT
ap-965	102	1	2/2008	2/2008	PROPN
ap-965	102	2	chiral	chiral	ADJ
ap-965	102	3	multiplet	multiplet	NOUN
ap-965	102	4	:	:	PUNCT
ap-965	102	5	�	�	PROPN
ap-965	102	6	�	�	PROPN
ap-965	102	7	,	,	PUNCT
ap-965	102	8	fields	field	NOUN
ap-965	102	9	content	content	NOUN
ap-965	102	10	:	:	PUNCT
ap-965	102	11	(	(	PUNCT
ap-965	102	12	2	2	NUM
ap-965	102	13	,	,	PUNCT
ap-965	102	14	4	4	NUM
ap-965	102	15	,	,	PUNCT
ap-965	102	16	2	2	NUM
ap-965	102	17	)	)	PUNCT
ap-965	102	18	d	d	NOUN
ap-965	102	19	�	�	PROPN
ap-965	102	20	4	4	NUM
ap-965	102	21	dimensionality	dimensionality	NOUN
ap-965	102	22	:	:	PUNCT
ap-965	102	23	[	[	PUNCT
ap-965	102	24	,	,	PUNCT
ap-965	102	25	,	,	PUNCT
ap-965	102	26	]	]	X
ap-965	102	27	1	1	NUM
ap-965	102	28	23	23	NUM
ap-965	102	29	2	2	NUM
ap-965	102	30	4d	4d	NUM
ap-965	102	31	�	�	PROPN
ap-965	102	32	d	d	SYM
ap-965	102	33	�	�	PROPN
ap-965	102	34	1dimensionality	1dimensionality	NUM
ap-965	102	35	:	:	PUNCT
ap-965	102	36	[	[	PUNCT
ap-965	102	37	,	,	PUNCT
ap-965	102	38	,	,	PUNCT
ap-965	102	39	]	]	X
ap-965	102	40	0	0	NUM
ap-965	102	41	11	11	NUM
ap-965	102	42	2	2	NUM
ap-965	102	43	1d	1d	NUM
ap-965	102	44	�	�	PROPN
ap-965	102	45	vector	vector	NOUN
ap-965	102	46	multiplet	multiplet	NOUN
ap-965	102	47	:	:	PUNCT
ap-965	102	48	v	v	NUM
ap-965	102	49	v	v	ADP
ap-965	102	50	�	�	PROPN
ap-965	102	51	†	†	PROPN
ap-965	102	52	fields	fields	PROPN
ap-965	102	53	content	content	NOUN
ap-965	102	54	:	:	PUNCT
ap-965	102	55	(	(	PUNCT
ap-965	102	56	1	1	NUM
ap-965	102	57	,	,	PUNCT
ap-965	102	58	4	4	NUM
ap-965	102	59	,	,	PUNCT
ap-965	102	60	6	6	NUM
ap-965	102	61	,	,	PUNCT
ap-965	102	62	4	4	NUM
ap-965	102	63	,	,	PUNCT
ap-965	102	64	1	1	NUM
ap-965	102	65	)	)	PUNCT
ap-965	102	66	d	d	NOUN
ap-965	102	67	�	�	PROPN
ap-965	102	68	4	4	NUM
ap-965	102	69	dimensionality	dimensionality	NOUN
ap-965	102	70	:	:	PUNCT
ap-965	102	71	[	[	PUNCT
ap-965	102	72	,	,	PUNCT
ap-965	102	73	,	,	PUNCT
ap-965	102	74	,	,	PUNCT
ap-965	102	75	,	,	PUNCT
ap-965	102	76	]	]	X
ap-965	102	77	0	0	NUM
ap-965	102	78	1	1	NUM
ap-965	102	79	21	21	NUM
ap-965	102	80	2	2	NUM
ap-965	102	81	3	3	NUM
ap-965	102	82	2	2	NUM
ap-965	102	83	4d	4d	NUM
ap-965	102	84	�	�	PROPN
ap-965	102	85	d	d	SYM
ap-965	102	86	�	�	PROPN
ap-965	102	87	1dimensionality	1dimensionality	NUM
ap-965	102	88	:	:	PUNCT
ap-965	102	89	[	[	PUNCT
ap-965	102	90	,	,	PUNCT
ap-965	102	91	,	,	PUNCT
ap-965	102	92	,	,	PUNCT
ap-965	102	93	,	,	PUNCT
ap-965	102	94	]	]	PUNCT
ap-965	102	95	�	�	PROPN
ap-965	102	96	�	�	PROPN
ap-965	102	97	�	�	PROPN
ap-965	102	98	1	1	NUM
ap-965	102	99	0	0	NUM
ap-965	102	100	11	11	NUM
ap-965	102	101	2	2	NUM
ap-965	102	102	1	1	NUM
ap-965	102	103	2	2	NUM
ap-965	102	104	1d	1d	NUM
ap-965	102	105	vector	vector	NOUN
ap-965	102	106	multiplet	multiplet	NOUN
ap-965	102	107	:	:	PUNCT
ap-965	102	108	v	v	X
ap-965	102	109	in	in	ADP
ap-965	102	110	the	the	DET
ap-965	102	111	wz	wz	PROPN
ap-965	102	112	gauge	gauge	NOUN
ap-965	102	113	fields	field	NOUN
ap-965	102	114	content	content	NOUN
ap-965	102	115	:	:	PUNCT
ap-965	102	116	(	(	PUNCT
ap-965	102	117	3	3	NUM
ap-965	102	118	,	,	PUNCT
ap-965	102	119	4	4	NUM
ap-965	102	120	,	,	PUNCT
ap-965	102	121	1	1	NUM
ap-965	102	122	)	)	PUNCT
ap-965	102	123	d	d	NOUN
ap-965	102	124	�	�	PROPN
ap-965	102	125	4	4	NUM
ap-965	102	126	dimensionality	dimensionality	NOUN
ap-965	102	127	:	:	PUNCT
ap-965	102	128	[	[	PUNCT
ap-965	102	129	,	,	PUNCT
ap-965	102	130	,	,	PUNCT
ap-965	102	131	]	]	X
ap-965	102	132	1	1	NUM
ap-965	102	133	23	23	NUM
ap-965	102	134	2	2	NUM
ap-965	102	135	4d	4d	NUM
ap-965	102	136	�	�	PROPN
ap-965	102	137	d	d	SYM
ap-965	102	138	�	�	PROPN
ap-965	102	139	1dimensionality	1dimensionality	NUM
ap-965	102	140	:	:	PUNCT
ap-965	102	141	[	[	PUNCT
ap-965	102	142	,	,	PUNCT
ap-965	102	143	,	,	PUNCT
ap-965	102	144	]	]	X
ap-965	102	145	0	0	NUM
ap-965	102	146	11	11	NUM
ap-965	102	147	2	2	NUM
ap-965	102	148	1d	1d	NUM
ap-965	102	149	�	�	PROPN
ap-965	102	150	supergravity	supergravity	NOUN
ap-965	102	151	multiplet	multiplet	NOUN
ap-965	102	152	:	:	PUNCT
ap-965	102	153	ea	ea	NUM
ap-965	102	154	�	�	PROPN
ap-965	102	155	�	�	PROPN
ap-965	102	156	�	�	PROPN
ap-965	102	157	,	,	PUNCT
ap-965	102	158	fields	field	NOUN
ap-965	102	159	content	content	NOUN
ap-965	102	160	:	:	PUNCT
ap-965	102	161	(	(	PUNCT
ap-965	102	162	16	16	NUM
ap-965	102	163	,	,	PUNCT
ap-965	102	164	16	16	NUM
ap-965	102	165	)	)	PUNCT
ap-965	102	166	d	d	NOUN
ap-965	102	167	�	�	PROPN
ap-965	102	168	4	4	NUM
ap-965	102	169	dimensionality	dimensionality	NOUN
ap-965	102	170	:	:	PUNCT
ap-965	102	171	[	[	PUNCT
ap-965	102	172	,	,	PUNCT
ap-965	102	173	]	]	SYM
ap-965	102	174	0	0	NUM
ap-965	102	175	1	1	NUM
ap-965	102	176	2	2	NUM
ap-965	102	177	4d	4d	NUM
ap-965	102	178	�	�	PROPN
ap-965	102	179	d	d	SYM
ap-965	102	180	�	�	PROPN
ap-965	102	181	1dimensionality	1dimensionality	NUM
ap-965	102	182	:	:	PUNCT
ap-965	102	183	[	[	PUNCT
ap-965	102	184	,	,	PUNCT
ap-965	102	185	]	]	SYM
ap-965	102	186	0	0	NUM
ap-965	102	187	1	1	NUM
ap-965	102	188	2	2	NUM
ap-965	102	189	1d	1d	NUM
ap-965	102	190	�	�	NOUN
ap-965	102	191	gauged	gauge	VERB
ap-965	102	192	sugra	sugra	NOUN
ap-965	102	193	multiplet	multiplet	NOUN
ap-965	102	194	:	:	PUNCT
ap-965	103	1	e	e	X
ap-965	103	2	ba	ba	PROPN
ap-965	103	3	i	i	PRON
ap-965	103	4	�	�	PROPN
ap-965	103	5	�	�	PROPN
ap-965	103	6	�	�	PROPN
ap-965	103	7	,	,	PUNCT
ap-965	103	8	,	,	PUNCT
ap-965	103	9	fields	field	NOUN
ap-965	103	10	content	content	NOUN
ap-965	103	11	:	:	PUNCT
ap-965	103	12	(	(	PUNCT
ap-965	103	13	6	6	NUM
ap-965	103	14	,	,	PUNCT
ap-965	103	15	12	12	NUM
ap-965	103	16	,	,	PUNCT
ap-965	103	17	6	6	NUM
ap-965	103	18	)	)	PUNCT
ap-965	103	19	d	d	NOUN
ap-965	103	20	�	�	PROPN
ap-965	103	21	4	4	NUM
ap-965	103	22	dimensionality	dimensionality	NOUN
ap-965	103	23	:	:	PUNCT
ap-965	103	24	[	[	PUNCT
ap-965	103	25	,	,	PUNCT
ap-965	103	26	,	,	PUNCT
ap-965	103	27	]	]	X
ap-965	103	28	0	0	NUM
ap-965	103	29	11	11	NUM
ap-965	103	30	2	2	NUM
ap-965	103	31	4d	4d	NUM
ap-965	103	32	�	�	PROPN
ap-965	103	33	d	d	SYM
ap-965	103	34	�	�	PROPN
ap-965	103	35	1dimensionality	1dimensionality	NUM
ap-965	103	36	:	:	PUNCT
ap-965	103	37	[	[	PUNCT
ap-965	103	38	,	,	PUNCT
ap-965	103	39	,	,	PUNCT
ap-965	103	40	]	]	X
ap-965	103	41	0	0	NUM
ap-965	103	42	11	11	NUM
ap-965	103	43	2	2	NUM
ap-965	103	44	1d	1d	NUM
ap-965	103	45	�	�	PROPN
ap-965	103	46	(	(	PUNCT
ap-965	103	47	2.20	2.20	NUM
ap-965	103	48	)	)	PUNCT
ap-965	103	49	as	as	ADV
ap-965	103	50	far	far	ADV
ap-965	103	51	as	as	SCONJ
ap-965	103	52	supergravity	supergravity	NOUN
ap-965	103	53	theories	theory	NOUN
ap-965	103	54	are	be	AUX
ap-965	103	55	concerned	concern	VERB
ap-965	103	56	,	,	PUNCT
ap-965	103	57	the	the	DET
ap-965	103	58	original	original	ADJ
ap-965	103	59	supergravity	supergravity	NOUN
ap-965	103	60	multiplet	multiplet	NOUN
ap-965	103	61	corresponds	correspond	VERB
ap-965	103	62	to	to	ADP
ap-965	103	63	four	four	NUM
ap-965	103	64	irreducible	irreducible	ADJ
ap-965	103	65	n	n	PRON
ap-965	103	66	�	�	PROPN
ap-965	103	67	4	4	NUM
ap-965	103	68	one	one	NUM
ap-965	103	69	-	-	PUNCT
ap-965	103	70	dimensional	dimensional	ADJ
ap-965	103	71	multiplets	multiplet	NOUN
ap-965	103	72	,	,	PUNCT
ap-965	103	73	while	while	SCONJ
ap-965	103	74	the	the	DET
ap-965	103	75	gauged	gauge	VERB
ap-965	103	76	supergravity	supergravity	NOUN
ap-965	103	77	multiplet	multiplet	NOUN
ap-965	103	78	is	be	AUX
ap-965	103	79	obtained	obtain	VERB
ap-965	103	80	,	,	PUNCT
ap-965	103	81	in	in	ADP
ap-965	103	82	the	the	DET
ap-965	103	83	d	d	PROPN
ap-965	103	84	�	�	PROPN
ap-965	103	85	1viewpoint	1viewpoint	NUM
ap-965	103	86	,	,	PUNCT
ap-965	103	87	in	in	ADP
ap-965	103	88	terms	term	NOUN
ap-965	103	89	of	of	ADP
ap-965	103	90	three	three	NUM
ap-965	103	91	irreducible	irreducible	ADJ
ap-965	103	92	n	n	PRON
ap-965	103	93	�	�	NOUN
ap-965	103	94	4	4	NUM
ap-965	103	95	multiplets	multiplet	NOUN
ap-965	103	96	whose	whose	DET
ap-965	103	97	total	total	ADJ
ap-965	103	98	number	number	NOUN
ap-965	103	99	of	of	ADP
ap-965	103	100	fields	field	NOUN
ap-965	103	101	is	be	AUX
ap-965	103	102	(	(	PUNCT
ap-965	103	103	6	6	NUM
ap-965	103	104	,	,	PUNCT
ap-965	103	105	12	12	NUM
ap-965	103	106	,	,	PUNCT
ap-965	103	107	6	6	NUM
ap-965	103	108	)	)	PUNCT
ap-965	103	109	.	.	PUNCT
ap-965	104	1	the	the	DET
ap-965	104	2	multiplet	multiplet	NOUN
ap-965	104	3	of	of	ADP
ap-965	104	4	the	the	DET
ap-965	104	5	physical	physical	ADJ
ap-965	104	6	degrees	degree	NOUN
ap-965	104	7	of	of	ADP
ap-965	104	8	freedom	freedom	NOUN
ap-965	104	9	of	of	ADP
ap-965	104	10	eleven	eleven	ADJ
ap-965	104	11	-	-	PUNCT
ap-965	104	12	dimensional	dimensional	ADJ
ap-965	104	13	supergravity	supergravity	NOUN
ap-965	104	14	(	(	PUNCT
ap-965	104	15	44	44	NUM
ap-965	104	16	components	component	NOUN
ap-965	104	17	for	for	ADP
ap-965	104	18	the	the	DET
ap-965	104	19	graviton	graviton	NOUN
ap-965	104	20	,	,	PUNCT
ap-965	104	21	i.e.	i.e.	X
ap-965	104	22	the	the	DET
ap-965	104	23	components	component	NOUN
ap-965	104	24	of	of	ADP
ap-965	104	25	a	a	DET
ap-965	104	26	so(9	so(9	PROPN
ap-965	104	27	)	)	PUNCT
ap-965	104	28	traceless	traceless	NOUN
ap-965	104	29	symmetric	symmetric	PROPN
ap-965	104	30	tensor	tensor	NOUN
ap-965	104	31	,	,	PUNCT
ap-965	104	32	the	the	DET
ap-965	104	33	128	128	NUM
ap-965	104	34	fermionic	fermionic	NOUN
ap-965	104	35	components	component	NOUN
ap-965	104	36	of	of	ADP
ap-965	104	37	the	the	DET
ap-965	104	38	gravitinos	gravitinos	PROPN
ap-965	104	39	and	and	CCONJ
ap-965	104	40	the	the	DET
ap-965	104	41	84	84	NUM
ap-965	104	42	components	component	NOUN
ap-965	104	43	of	of	ADP
ap-965	104	44	the	the	DET
ap-965	104	45	three	three	NUM
ap-965	104	46	form	form	NOUN
ap-965	104	47	)	)	PUNCT
ap-965	104	48	can	can	AUX
ap-965	104	49	be	be	AUX
ap-965	104	50	accommodated	accommodate	VERB
ap-965	104	51	into	into	ADP
ap-965	104	52	the	the	DET
ap-965	104	53	(	(	PUNCT
ap-965	104	54	44	44	NUM
ap-965	104	55	,	,	PUNCT
ap-965	104	56	128	128	NUM
ap-965	104	57	,	,	PUNCT
ap-965	104	58	84	84	NUM
ap-965	104	59	)	)	PUNCT
ap-965	104	60	multiplet	multiplet	NOUN
ap-965	104	61	of	of	ADP
ap-965	104	62	an	an	DET
ap-965	104	63	n	n	ADV
ap-965	104	64	-	-	PUNCT
ap-965	104	65	extended	extend	VERB
ap-965	104	66	one	one	NUM
ap-965	104	67	-	-	PUNCT
ap-965	104	68	dimensional	dimensional	ADJ
ap-965	104	69	supersymmetry	supersymmetry	NOUN
ap-965	104	70	.	.	PUNCT
ap-965	105	1	as	as	SCONJ
ap-965	105	2	will	will	AUX
ap-965	105	3	be	be	AUX
ap-965	105	4	shown	show	VERB
ap-965	105	5	later	later	ADV
ap-965	105	6	,	,	PUNCT
ap-965	105	7	128	128	NUM
ap-965	105	8	bosons	boson	NOUN
ap-965	105	9	and	and	CCONJ
ap-965	105	10	128	128	NUM
ap-965	105	11	fermions	fermion	NOUN
ap-965	105	12	can	can	AUX
ap-965	105	13	accommodate	accommodate	VERB
ap-965	105	14	at	at	ADP
ap-965	105	15	most	most	ADV
ap-965	105	16	16	16	NUM
ap-965	105	17	off	off	ADJ
ap-965	105	18	-	-	PUNCT
ap-965	105	19	shell	shell	NOUN
ap-965	105	20	supersymmetries	supersymmetry	NOUN
ap-965	105	21	that	that	PRON
ap-965	105	22	are	be	AUX
ap-965	105	23	linearly	linearly	ADV
ap-965	105	24	realized	realize	VERB
ap-965	105	25	.	.	PUNCT
ap-965	106	1	it	it	PRON
ap-965	106	2	is	be	AUX
ap-965	106	3	under	under	ADP
ap-965	106	4	question	question	NOUN
ap-965	106	5	whether	whether	SCONJ
ap-965	106	6	an	an	DET
ap-965	106	7	off	off	ADP
ap-965	106	8	-	-	PUNCT
ap-965	106	9	shell	shell	NOUN
ap-965	106	10	formulation	formulation	NOUN
ap-965	106	11	of	of	ADP
ap-965	106	12	eleven	eleven	ADJ
ap-965	106	13	-	-	PUNCT
ap-965	106	14	dimensional	dimensional	ADJ
ap-965	106	15	supergravity	supergravity	NOUN
ap-965	106	16	indeed	indeed	ADV
ap-965	106	17	exists	exist	VERB
ap-965	106	18	.	.	PUNCT
ap-965	107	1	in	in	ADP
ap-965	107	2	any	any	DET
ap-965	107	3	case	case	NOUN
ap-965	107	4	it	it	PRON
ap-965	107	5	would	would	AUX
ap-965	107	6	require	require	VERB
ap-965	107	7	at	at	ADV
ap-965	107	8	least	least	ADJ
ap-965	107	9	32768	32768	NUM
ap-965	107	10	bosonic	bosonic	NOUN
ap-965	107	11	(	(	PUNCT
ap-965	107	12	and	and	CCONJ
ap-965	107	13	an	an	DET
ap-965	107	14	equal	equal	ADJ
ap-965	107	15	number	number	NOUN
ap-965	107	16	of	of	ADP
ap-965	107	17	fermionic	fermionic	NOUN
ap-965	107	18	)	)	PUNCT
ap-965	107	19	degrees	degree	NOUN
ap-965	107	20	of	of	ADP
ap-965	107	21	freedom	freedom	NOUN
ap-965	107	22	to	to	PART
ap-965	107	23	produce	produce	VERB
ap-965	107	24	an	an	DET
ap-965	107	25	n	n	PRON
ap-965	107	26	�	�	NOUN
ap-965	107	27	32	32	NUM
ap-965	107	28	supersymmetry	supersymmetry	NOUN
ap-965	107	29	representation	representation	NOUN
ap-965	107	30	in	in	ADP
ap-965	107	31	d	d	PROPN
ap-965	107	32	�	�	PROPN
ap-965	107	33	1	1	NUM
ap-965	107	34	.	.	NOUN
ap-965	107	35	3	3	NUM
ap-965	107	36	supersymmetric	supersymmetric	ADJ
ap-965	107	37	quantum	quantum	NOUN
ap-965	107	38	mechanics	mechanic	NOUN
ap-965	107	39	and	and	CCONJ
ap-965	107	40	clifford	clifford	PROPN
ap-965	107	41	algebras	algebras	PROPN
ap-965	107	42	in	in	ADP
ap-965	107	43	this	this	DET
ap-965	107	44	section	section	NOUN
ap-965	107	45	we	we	PRON
ap-965	107	46	discuss	discuss	VERB
ap-965	107	47	several	several	ADJ
ap-965	107	48	results	result	NOUN
ap-965	107	49	,	,	PUNCT
ap-965	107	50	based	base	VERB
ap-965	107	51	on	on	ADP
ap-965	107	52	ref	ref	NOUN
ap-965	107	53	.	.	PUNCT
ap-965	108	1	[	[	X
ap-965	108	2	13	13	NUM
ap-965	108	3	]	]	PUNCT
ap-965	108	4	,	,	PUNCT
ap-965	108	5	concerning	concern	VERB
ap-965	108	6	the	the	DET
ap-965	108	7	classification	classification	NOUN
ap-965	108	8	of	of	ADP
ap-965	108	9	irreducible	irreducible	ADJ
ap-965	108	10	representations	representation	NOUN
ap-965	108	11	(	(	PUNCT
ap-965	108	12	from	from	ADP
ap-965	108	13	now	now	ADV
ap-965	108	14	on	on	ADP
ap-965	108	15	“	"	PUNCT
ap-965	108	16	irreps	irrep	NOUN
ap-965	108	17	”	"	PUNCT
ap-965	108	18	)	)	PUNCT
ap-965	108	19	of	of	ADP
ap-965	108	20	the	the	DET
ap-965	108	21	n	n	ADV
ap-965	108	22	-	-	PUNCT
ap-965	108	23	extended	extend	VERB
ap-965	108	24	one	one	NUM
ap-965	108	25	-	-	PUNCT
ap-965	108	26	dimensional	dimensional	ADJ
ap-965	108	27	supersymmetry	supersymmetry	NOUN
ap-965	108	28	algebra	algebra	NOUN
ap-965	108	29	and	and	CCONJ
ap-965	108	30	their	their	PRON
ap-965	108	31	connection	connection	NOUN
ap-965	108	32	with	with	ADP
ap-965	108	33	clifford	clifford	PROPN
ap-965	108	34	algebras	algebras	PROPN
ap-965	108	35	.	.	PUNCT
ap-965	109	1	the	the	DET
ap-965	109	2	n	n	PROPN
ap-965	109	3	extended	extend	VERB
ap-965	109	4	d	d	PROPN
ap-965	109	5	�	�	PROPN
ap-965	109	6	1supersymmetry	1supersymmetry	PROPN
ap-965	109	7	algebra	algebra	NOUN
ap-965	109	8	is	be	AUX
ap-965	109	9	given	give	VERB
ap-965	109	10	by	by	ADP
ap-965	109	11	�	�	PROPN
ap-965	109	12	�	�	PROPN
ap-965	109	13	q	q	PROPN
ap-965	109	14	q	q	X
ap-965	109	15	hi	hi	INTJ
ap-965	109	16	j	j	PROPN
ap-965	109	17	ij	ij	NOUN
ap-965	109	18	,	,	PUNCT
ap-965	109	19	�	�	PROPN
ap-965	109	20	�	�	PROPN
ap-965	109	21	,	,	PUNCT
ap-965	109	22	(	(	PUNCT
ap-965	109	23	3.21	3.21	NUM
ap-965	109	24	)	)	PUNCT
ap-965	109	25	where	where	SCONJ
ap-965	109	26	the	the	DET
ap-965	109	27	qi	qi	PROPN
ap-965	109	28	’s	’s	PART
ap-965	109	29	are	be	AUX
ap-965	109	30	the	the	DET
ap-965	109	31	supersymmetry	supersymmetry	NOUN
ap-965	109	32	generators	generator	NOUN
ap-965	109	33	(	(	PUNCT
ap-965	109	34	for	for	ADP
ap-965	109	35	i	i	PRON
ap-965	109	36	j	j	PROPN
ap-965	109	37	n	n	CCONJ
ap-965	109	38	,	,	PUNCT
ap-965	109	39	,	,	PUNCT
ap-965	109	40	,	,	PUNCT
ap-965	109	41	�	�	PROPN
ap-965	109	42	1	1	NUM
ap-965	109	43	�	�	PROPN
ap-965	109	44	)	)	PUNCT
ap-965	109	45	and	and	CCONJ
ap-965	109	46	h	h	NOUN
ap-965	109	47	i	i	PRON
ap-965	109	48	t	t	PROPN
ap-965	109	49	�	�	PROPN
ap-965	109	50	�	�	PROPN
ap-965	109	51	�	�	PROPN
ap-965	109	52	�	�	PROPN
ap-965	109	53	is	be	AUX
ap-965	109	54	a	a	DET
ap-965	109	55	hamiltonian	hamiltonian	ADJ
ap-965	109	56	operator	operator	NOUN
ap-965	109	57	(	(	PUNCT
ap-965	109	58	t	t	PROPN
ap-965	109	59	is	be	AUX
ap-965	109	60	the	the	DET
ap-965	109	61	time	time	NOUN
ap-965	109	62	coordinate	coordinate	NOUN
ap-965	109	63	)	)	PUNCT
ap-965	109	64	.	.	PUNCT
ap-965	110	1	if	if	SCONJ
ap-965	110	2	the	the	DET
ap-965	110	3	diagonal	diagonal	ADJ
ap-965	110	4	matrix	matrix	NOUN
ap-965	110	5	�	�	NOUN
ap-965	110	6	ij	ij	NOUN
ap-965	110	7	is	be	AUX
ap-965	110	8	pseudo	pseudo	NOUN
ap-965	110	9	-	-	ADJ
ap-965	110	10	euclidean	euclidean	ADJ
ap-965	110	11	(	(	PUNCT
ap-965	110	12	with	with	ADP
ap-965	110	13	signature	signature	NOUN
ap-965	110	14	(	(	PUNCT
ap-965	110	15	p	p	X
ap-965	110	16	,	,	PUNCT
ap-965	110	17	q	q	NOUN
ap-965	110	18	)	)	PUNCT
ap-965	110	19	,	,	PUNCT
ap-965	110	20	n	n	CCONJ
ap-965	110	21	p	p	X
ap-965	110	22	q	q	PROPN
ap-965	110	23	�	�	PROPN
ap-965	110	24	�	�	PROPN
ap-965	110	25	)	)	PUNCT
ap-965	110	26	we	we	PRON
ap-965	110	27	can	can	AUX
ap-965	110	28	speak	speak	VERB
ap-965	110	29	of	of	ADP
ap-965	110	30	generalized	generalized	ADJ
ap-965	110	31	supersymmetries	supersymmetry	NOUN
ap-965	110	32	.	.	PUNCT
ap-965	111	1	for	for	ADP
ap-965	111	2	convenience	convenience	NOUN
ap-965	111	3	we	we	PRON
ap-965	111	4	limit	limit	VERB
ap-965	111	5	the	the	DET
ap-965	111	6	discussion	discussion	NOUN
ap-965	111	7	here	here	ADV
ap-965	111	8	(	(	PUNCT
ap-965	111	9	despite	despite	SCONJ
ap-965	111	10	the	the	DET
ap-965	111	11	fact	fact	NOUN
ap-965	111	12	that	that	SCONJ
ap-965	111	13	our	our	PRON
ap-965	111	14	results	result	NOUN
ap-965	111	15	can	can	AUX
ap-965	111	16	be	be	AUX
ap-965	111	17	straightforwardly	straightforwardly	ADV
ap-965	111	18	generalized	generalize	VERB
ap-965	111	19	to	to	ADP
ap-965	111	20	pseudo	pseudo	NOUN
ap-965	111	21	-	-	ADJ
ap-965	111	22	euclidean	euclidean	ADJ
ap-965	111	23	supersymmetries	supersymmetry	NOUN
ap-965	111	24	,	,	PUNCT
ap-965	111	25	having	have	VERB
ap-965	111	26	applicability	applicability	NOUN
ap-965	111	27	,	,	PUNCT
ap-965	111	28	e.g.	e.g.	ADV
ap-965	111	29	,	,	PUNCT
ap-965	111	30	to	to	ADP
ap-965	111	31	supersymmetric	supersymmetric	ADJ
ap-965	111	32	spinning	spinning	NOUN
ap-965	111	33	particles	particle	NOUN
ap-965	111	34	moving	move	VERB
ap-965	111	35	in	in	ADP
ap-965	111	36	pseudo	pseudo	NOUN
ap-965	111	37	-	-	ADJ
ap-965	111	38	euclidean	euclidean	ADJ
ap-965	111	39	manifolds	manifold	NOUN
ap-965	111	40	)	)	PUNCT
ap-965	111	41	to	to	ADP
ap-965	111	42	ordinary	ordinary	ADJ
ap-965	111	43	n	n	CCONJ
ap-965	111	44	-	-	PUNCT
ap-965	111	45	extended	extend	VERB
ap-965	111	46	supersymmetries	supersymmetry	NOUN
ap-965	111	47	.	.	PUNCT
ap-965	112	1	therefore	therefore	ADV
ap-965	112	2	for	for	ADP
ap-965	112	3	our	our	PRON
ap-965	112	4	purposes	purpose	NOUN
ap-965	112	5	�	�	PROPN
ap-965	112	6	ij	ij	NUM
ap-965	112	7	ij	ij	PROPN
ap-965	112	8	�	�	PROPN
ap-965	112	9	.	.	PUNCT
ap-965	113	1	the	the	DET
ap-965	113	2	(	(	PUNCT
ap-965	113	3	d	d	NOUN
ap-965	113	4	-	-	PUNCT
ap-965	113	5	modules	module	NOUN
ap-965	113	6	)	)	PUNCT
ap-965	113	7	representations	representation	NOUN
ap-965	113	8	of	of	ADP
ap-965	113	9	the	the	DET
ap-965	113	10	(	(	PUNCT
ap-965	113	11	3.21	3.21	NUM
ap-965	113	12	)	)	PUNCT
ap-965	113	13	supersymmetry	supersymmetry	NOUN
ap-965	113	14	algebra	algebra	NOUN
ap-965	113	15	realized	realize	VERB
ap-965	113	16	in	in	ADP
ap-965	113	17	terms	term	NOUN
ap-965	113	18	of	of	ADP
ap-965	113	19	linear	linear	ADJ
ap-965	113	20	transformations	transformation	NOUN
ap-965	113	21	acting	act	VERB
ap-965	113	22	on	on	ADP
ap-965	113	23	finite	finite	ADJ
ap-965	113	24	multiplets	multiplet	NOUN
ap-965	113	25	of	of	ADP
ap-965	113	26	fields	field	NOUN
ap-965	113	27	satisfy	satisfy	VERB
ap-965	113	28	the	the	DET
ap-965	113	29	following	follow	VERB
ap-965	113	30	properties	property	NOUN
ap-965	113	31	.	.	PUNCT
ap-965	114	1	the	the	DET
ap-965	114	2	total	total	ADJ
ap-965	114	3	number	number	NOUN
ap-965	114	4	of	of	ADP
ap-965	114	5	bosonic	bosonic	NOUN
ap-965	114	6	fields	field	NOUN
ap-965	114	7	equal	equal	VERB
ap-965	114	8	the	the	DET
ap-965	114	9	total	total	ADJ
ap-965	114	10	number	number	NOUN
ap-965	114	11	of	of	ADP
ap-965	114	12	fermionic	fermionic	NOUN
ap-965	114	13	fields	field	NOUN
ap-965	114	14	.	.	PUNCT
ap-965	115	1	for	for	ADP
ap-965	115	2	irreps	irrep	NOUN
ap-965	115	3	of	of	ADP
ap-965	115	4	the	the	DET
ap-965	115	5	n	n	ADV
ap-965	115	6	-	-	PUNCT
ap-965	115	7	extended	extended	ADJ
ap-965	115	8	supersymmetry	supersymmetry	NOUN
ap-965	115	9	the	the	DET
ap-965	115	10	number	number	NOUN
ap-965	115	11	of	of	ADP
ap-965	115	12	bosonic	bosonic	PROPN
ap-965	115	13	(	(	PUNCT
ap-965	115	14	fermionic	fermionic	NOUN
ap-965	115	15	)	)	PUNCT
ap-965	115	16	fields	field	NOUN
ap-965	115	17	is	be	AUX
ap-965	115	18	given	give	VERB
ap-965	115	19	by	by	ADP
ap-965	115	20	d	d	PROPN
ap-965	115	21	,	,	PUNCT
ap-965	115	22	with	with	ADP
ap-965	115	23	n	n	NOUN
ap-965	115	24	and	and	CCONJ
ap-965	115	25	d	d	AUX
ap-965	115	26	linked	link	VERB
ap-965	115	27	through	through	ADP
ap-965	115	28	n	n	ADP
ap-965	115	29	l	l	NOUN
ap-965	116	1	n	n	ADP
ap-965	116	2	d	d	NOUN
ap-965	116	3	g	g	PROPN
ap-965	116	4	nl	nl	PROPN
ap-965	116	5	�	�	PROPN
ap-965	116	6	�	�	PROPN
ap-965	116	7	�	�	PROPN
ap-965	116	8	8	8	NUM
ap-965	116	9	24	24	NUM
ap-965	116	10	,	,	PUNCT
ap-965	116	11	(	(	PUNCT
ap-965	116	12	)	)	PUNCT
ap-965	116	13	,	,	PUNCT
ap-965	116	14	(	(	PUNCT
ap-965	116	15	3.22	3.22	NUM
ap-965	116	16	)	)	PUNCT
ap-965	116	17	where	where	SCONJ
ap-965	116	18	l	l	PROPN
ap-965	116	19	�	�	PROPN
ap-965	116	20	0	0	NUM
ap-965	116	21	1	1	NUM
ap-965	116	22	2	2	NUM
ap-965	116	23	,	,	PUNCT
ap-965	116	24	,	,	PUNCT
ap-965	116	25	,	,	PUNCT
ap-965	116	26	�	�	PROPN
ap-965	116	27	and	and	CCONJ
ap-965	116	28	n	n	PRON
ap-965	116	29	�	�	PROPN
ap-965	116	30	1	1	NUM
ap-965	116	31	2	2	NUM
ap-965	116	32	3	3	NUM
ap-965	116	33	4	4	NUM
ap-965	116	34	5	5	NUM
ap-965	116	35	6	6	NUM
ap-965	116	36	7	7	NUM
ap-965	116	37	8	8	NUM
ap-965	116	38	,	,	PUNCT
ap-965	116	39	,	,	PUNCT
ap-965	116	40	,	,	PUNCT
ap-965	116	41	,	,	PUNCT
ap-965	116	42	,	,	PUNCT
ap-965	116	43	,	,	PUNCT
ap-965	116	44	,	,	PUNCT
ap-965	116	45	.	.	PUNCT
ap-965	117	1	g(n	g(n	NOUN
ap-965	117	2	)	)	PUNCT
ap-965	117	3	appearing	appear	VERB
ap-965	117	4	in	in	ADP
ap-965	117	5	(	(	PUNCT
ap-965	117	6	3.22	3.22	NUM
ap-965	117	7	)	)	PUNCT
ap-965	117	8	is	be	AUX
ap-965	117	9	the	the	DET
ap-965	117	10	radon	radon	PROPN
ap-965	117	11	-	-	PUNCT
ap-965	117	12	hurwitz	hurwitz	PROPN
ap-965	117	13	function	function	NOUN
ap-965	117	14	[	[	X
ap-965	117	15	13	13	NUM
ap-965	117	16	]	]	PUNCT
ap-965	117	17	the	the	DET
ap-965	117	18	modulo	modulo	NOUN
ap-965	117	19	8	8	NUM
ap-965	117	20	property	property	NOUN
ap-965	117	21	of	of	ADP
ap-965	117	22	the	the	DET
ap-965	117	23	irreps	irrep	NOUN
ap-965	117	24	of	of	ADP
ap-965	117	25	the	the	DET
ap-965	117	26	n	n	ADV
ap-965	117	27	-	-	PUNCT
ap-965	117	28	extended	extended	ADJ
ap-965	117	29	supersymmetry	supersymmetry	NOUN
ap-965	117	30	is	be	AUX
ap-965	117	31	a	a	DET
ap-965	117	32	consequence	consequence	NOUN
ap-965	117	33	of	of	ADP
ap-965	117	34	the	the	DET
ap-965	117	35	famous	famous	ADJ
ap-965	117	36	modulo	modulo	NOUN
ap-965	117	37	8	8	NUM
ap-965	117	38	property	property	NOUN
ap-965	117	39	of	of	ADP
ap-965	117	40	clifford	clifford	PROPN
ap-965	117	41	algebras	algebras	PROPN
ap-965	117	42	.	.	PUNCT
ap-965	118	1	the	the	DET
ap-965	118	2	connection	connection	NOUN
ap-965	118	3	between	between	ADP
ap-965	118	4	supersymmetry	supersymmetry	NOUN
ap-965	118	5	irreps	irrep	NOUN
ap-965	118	6	and	and	CCONJ
ap-965	118	7	clifford	clifford	PROPN
ap-965	118	8	algebras	algebras	PROPN
ap-965	118	9	is	be	AUX
ap-965	118	10	specified	specify	VERB
ap-965	118	11	later	later	ADV
ap-965	118	12	.	.	PUNCT
ap-965	119	1	the	the	DET
ap-965	119	2	d	d	PROPN
ap-965	119	3	�	�	PROPN
ap-965	119	4	1	1	NUM
ap-965	119	5	dimensional	dimensional	ADJ
ap-965	119	6	reduction	reduction	NOUN
ap-965	119	7	of	of	ADP
ap-965	119	8	the	the	DET
ap-965	119	9	maximal	maximal	ADJ
ap-965	119	10	n	n	PRON
ap-965	119	11	�	�	NOUN
ap-965	119	12	8	8	NUM
ap-965	119	13	supergravity	supergravity	NOUN
ap-965	119	14	produces	produce	VERB
ap-965	119	15	a	a	DET
ap-965	119	16	supersymmetric	supersymmetric	ADJ
ap-965	119	17	quantum	quantum	ADJ
ap-965	119	18	mechanical	mechanical	ADJ
ap-965	119	19	system	system	NOUN
ap-965	119	20	with	with	ADP
ap-965	119	21	n	n	PRON
ap-965	119	22	�	�	PROPN
ap-965	119	23	32	32	NUM
ap-965	119	24	extended	extended	ADJ
ap-965	119	25	number	number	NOUN
ap-965	119	26	of	of	ADP
ap-965	119	27	supersymmetries	supersymmetry	NOUN
ap-965	119	28	.	.	PUNCT
ap-965	120	1	it	it	PRON
ap-965	120	2	is	be	AUX
ap-965	120	3	therefore	therefore	ADV
ap-965	120	4	convenient	convenient	ADJ
ap-965	120	5	to	to	PART
ap-965	120	6	explicitly	explicitly	ADV
ap-965	120	7	report	report	VERB
ap-965	120	8	the	the	DET
ap-965	120	9	number	number	NOUN
ap-965	120	10	of	of	ADP
ap-965	120	11	bosonic	bosonic	NOUN
ap-965	120	12	/	/	SYM
ap-965	120	13	fermionic	fermionic	NOUN
ap-965	120	14	component	component	NOUN
ap-965	120	15	fields	field	NOUN
ap-965	120	16	in	in	ADP
ap-965	120	17	any	any	DET
ap-965	120	18	given	give	VERB
ap-965	120	19	irrep	irrep	NOUN
ap-965	120	20	of	of	ADP
ap-965	120	21	(	(	PUNCT
ap-965	120	22	3.21	3.21	NUM
ap-965	120	23	)	)	PUNCT
ap-965	120	24	for	for	ADP
ap-965	120	25	any	any	DET
ap-965	120	26	n	n	NOUN
ap-965	120	27	up	up	ADP
ap-965	120	28	to	to	ADP
ap-965	120	29	n	n	PRON
ap-965	120	30	�	�	PROPN
ap-965	120	31	32	32	NUM
ap-965	120	32	.	.	PUNCT
ap-965	121	1	we	we	PRON
ap-965	121	2	get	get	VERB
ap-965	121	3	the	the	DET
ap-965	121	4	table	table	NOUN
ap-965	121	5	the	the	DET
ap-965	121	6	bosonic	bosonic	NOUN
ap-965	121	7	(	(	PUNCT
ap-965	121	8	fermionic	fermionic	NOUN
ap-965	121	9	)	)	PUNCT
ap-965	121	10	fields	field	NOUN
ap-965	121	11	entering	enter	VERB
ap-965	121	12	an	an	DET
ap-965	121	13	irreducible	irreducible	ADJ
ap-965	121	14	multiplet	multiplet	NOUN
ap-965	121	15	can	can	AUX
ap-965	121	16	be	be	AUX
ap-965	121	17	grouped	group	VERB
ap-965	121	18	together	together	ADV
ap-965	121	19	according	accord	VERB
ap-965	121	20	to	to	ADP
ap-965	121	21	their	their	PRON
ap-965	121	22	dimensionality	dimensionality	NOUN
ap-965	121	23	.	.	PUNCT
ap-965	122	1	sometimes	sometimes	ADV
ap-965	122	2	instead	instead	ADV
ap-965	122	3	of	of	ADP
ap-965	122	4	“	"	PUNCT
ap-965	122	5	dimension	dimension	NOUN
ap-965	122	6	”	"	PUNCT
ap-965	122	7	,	,	PUNCT
ap-965	122	8	the	the	DET
ap-965	122	9	word	word	NOUN
ap-965	122	10	“	"	PUNCT
ap-965	122	11	spin	spin	NOUN
ap-965	122	12	”	"	PUNCT
ap-965	122	13	is	be	AUX
ap-965	122	14	used	use	VERB
ap-965	122	15	to	to	PART
ap-965	122	16	refer	refer	VERB
ap-965	122	17	to	to	ADP
ap-965	122	18	the	the	DET
ap-965	122	19	dimensionality	dimensionality	NOUN
ap-965	122	20	of	of	ADP
ap-965	122	21	the	the	DET
ap-965	122	22	component	component	NOUN
ap-965	122	23	fields	field	NOUN
ap-965	122	24	.	.	PUNCT
ap-965	123	1	this	this	DET
ap-965	123	2	choice	choice	NOUN
ap-965	123	3	of	of	ADP
ap-965	123	4	word	word	NOUN
ap-965	123	5	finds	find	VERB
ap-965	123	6	some	some	DET
ap-965	123	7	justification	justification	NOUN
ap-965	123	8	when	when	SCONJ
ap-965	123	9	discussing	discuss	VERB
ap-965	123	10	the	the	DET
ap-965	123	11	d	d	PROPN
ap-965	123	12	�	�	PROPN
ap-965	123	13	1	1	NUM
ap-965	123	14	dimensional	dimensional	ADJ
ap-965	123	15	reduction	reduction	NOUN
ap-965	123	16	of	of	ADP
ap-965	123	17	higher	high	ADJ
ap-965	123	18	-	-	PUNCT
ap-965	123	19	dimensional	dimensional	ADJ
ap-965	123	20	supersymmetric	supersymmetric	ADJ
ap-965	123	21	theories	theory	NOUN
ap-965	123	22	.	.	PUNCT
ap-965	124	1	the	the	DET
ap-965	124	2	number	number	NOUN
ap-965	124	3	(	(	PUNCT
ap-965	124	4	equal	equal	ADJ
ap-965	124	5	to	to	ADP
ap-965	124	6	l	l	NOUN
ap-965	124	7	)	)	PUNCT
ap-965	124	8	of	of	ADP
ap-965	124	9	different	different	ADJ
ap-965	124	10	dimensions	dimension	NOUN
ap-965	124	11	(	(	PUNCT
ap-965	124	12	i.e.	i.e.	X
ap-965	124	13	the	the	DET
ap-965	124	14	number	number	NOUN
ap-965	124	15	of	of	ADP
ap-965	124	16	different	different	ADJ
ap-965	124	17	spin	spin	NOUN
ap-965	124	18	states	state	NOUN
ap-965	124	19	)	)	PUNCT
ap-965	124	20	of	of	ADP
ap-965	124	21	a	a	DET
ap-965	124	22	given	give	VERB
ap-965	124	23	irrep	irrep	NOUN
ap-965	124	24	,	,	PUNCT
ap-965	124	25	will	will	AUX
ap-965	124	26	be	be	AUX
ap-965	124	27	referred	refer	VERB
ap-965	124	28	to	to	ADP
ap-965	124	29	as	as	ADP
ap-965	124	30	the	the	DET
ap-965	124	31	length	length	NOUN
ap-965	124	32	l	l	NOUN
ap-965	124	33	of	of	ADP
ap-965	124	34	the	the	DET
ap-965	124	35	irrep	irrep	NOUN
ap-965	124	36	.	.	PUNCT
ap-965	125	1	since	since	SCONJ
ap-965	125	2	there	there	PRON
ap-965	125	3	are	be	VERB
ap-965	125	4	at	at	ADV
ap-965	125	5	least	least	ADV
ap-965	125	6	two	two	NUM
ap-965	125	7	different	different	ADJ
ap-965	125	8	spin	spin	NOUN
ap-965	125	9	states	state	NOUN
ap-965	125	10	(	(	PUNCT
ap-965	125	11	one	one	NUM
ap-965	125	12	for	for	ADP
ap-965	125	13	bosons	boson	NOUN
ap-965	125	14	,	,	PUNCT
ap-965	125	15	the	the	DET
ap-965	125	16	other	other	ADJ
ap-965	125	17	for	for	ADP
ap-965	125	18	fermions	fermion	NOUN
ap-965	125	19	)	)	PUNCT
ap-965	125	20	,	,	PUNCT
ap-965	125	21	obtained	obtain	VERB
ap-965	125	22	when	when	SCONJ
ap-965	125	23	all	all	DET
ap-965	125	24	bosons	boson	NOUN
ap-965	125	25	(	(	PUNCT
ap-965	125	26	fermions	fermion	NOUN
ap-965	125	27	)	)	PUNCT
ap-965	125	28	are	be	AUX
ap-965	125	29	grouped	group	VERB
ap-965	125	30	together	together	ADV
ap-965	125	31	within	within	ADP
ap-965	125	32	the	the	DET
ap-965	125	33	same	same	ADJ
ap-965	125	34	spin	spin	NOUN
ap-965	125	35	,	,	PUNCT
ap-965	125	36	the	the	DET
ap-965	125	37	minimal	minimal	ADJ
ap-965	125	38	length	length	NOUN
ap-965	125	39	of	of	ADP
ap-965	125	40	an	an	DET
ap-965	125	41	irrep	irrep	NOUN
ap-965	125	42	is	be	AUX
ap-965	125	43	l	l	NOUN
ap-965	125	44	�	�	PROPN
ap-965	125	45	2	2	NUM
ap-965	125	46	.	.	PUNCT
ap-965	126	1	a	a	DET
ap-965	126	2	general	general	ADJ
ap-965	126	3	property	property	NOUN
ap-965	126	4	of	of	ADP
ap-965	126	5	(	(	PUNCT
ap-965	126	6	linear	linear	ADJ
ap-965	126	7	)	)	PUNCT
ap-965	126	8	supersymmetry	supersymmetry	NOUN
ap-965	126	9	in	in	ADP
ap-965	126	10	any	any	DET
ap-965	126	11	dimension	dimension	NOUN
ap-965	126	12	is	be	AUX
ap-965	126	13	the	the	DET
ap-965	126	14	fact	fact	NOUN
ap-965	126	15	that	that	SCONJ
ap-965	126	16	the	the	DET
ap-965	126	17	states	state	NOUN
ap-965	126	18	of	of	ADP
ap-965	126	19	highest	high	ADJ
ap-965	126	20	spin	spin	NOUN
ap-965	126	21	in	in	ADP
ap-965	126	22	a	a	DET
ap-965	126	23	given	give	VERB
ap-965	126	24	multiplet	multiplet	NOUN
ap-965	126	25	are	be	AUX
ap-965	126	26	auxiliary	auxiliary	ADJ
ap-965	126	27	fields	field	NOUN
ap-965	126	28	,	,	PUNCT
ap-965	126	29	whose	whose	DET
ap-965	126	30	supersymmetry	supersymmetry	NOUN
ap-965	126	31	transformations	transformation	NOUN
ap-965	126	32	are	be	AUX
ap-965	126	33	given	give	VERB
ap-965	126	34	by	by	ADP
ap-965	126	35	total	total	ADJ
ap-965	126	36	derivatives	derivative	NOUN
ap-965	126	37	.	.	PUNCT
ap-965	127	1	just	just	ADV
ap-965	127	2	for	for	SCONJ
ap-965	127	3	d	d	PROPN
ap-965	127	4	�	�	PROPN
ap-965	127	5	1	1	NUM
ap-965	127	6	total	total	ADJ
ap-965	127	7	derivatives	derivative	NOUN
ap-965	127	8	coincide	coincide	VERB
ap-965	127	9	with	with	ADP
ap-965	127	10	the	the	DET
ap-965	127	11	(	(	PUNCT
ap-965	127	12	unique	unique	ADJ
ap-965	127	13	)	)	PUNCT
ap-965	127	14	time	time	NOUN
ap-965	127	15	derivative	derivative	NOUN
ap-965	127	16	.	.	PUNCT
ap-965	128	1	using	use	VERB
ap-965	128	2	this	this	DET
ap-965	128	3	specific	specific	ADJ
ap-965	128	4	property	property	NOUN
ap-965	128	5	of	of	ADP
ap-965	128	6	the	the	DET
ap-965	128	7	one	one	NUM
ap-965	128	8	-	-	PUNCT
ap-965	128	9	dimensional	dimensional	ADJ
ap-965	128	10	supersymmetry	supersymmetry	NOUN
ap-965	128	11	it	it	PRON
ap-965	128	12	was	be	AUX
ap-965	128	13	proven	prove	VERB
ap-965	128	14	in	in	ADP
ap-965	128	15	[	[	X
ap-965	128	16	13	13	NUM
ap-965	128	17	]	]	PUNCT
ap-965	128	18	that	that	SCONJ
ap-965	128	19	all	all	PRON
ap-965	128	20	finite	finite	VERB
ap-965	128	21	linear	linear	PROPN
ap-965	128	22	irreps	irrep	NOUN
ap-965	128	23	of	of	ADP
ap-965	128	24	the	the	DET
ap-965	128	25	(	(	PUNCT
ap-965	128	26	3.21	3.21	NUM
ap-965	128	27	)	)	PUNCT
ap-965	128	28	supersymmetry	supersymmetry	NOUN
ap-965	128	29	algebra	algebra	NOUN
ap-965	128	30	fall	fall	VERB
ap-965	128	31	into	into	ADP
ap-965	128	32	classes	class	NOUN
ap-965	128	33	of	of	ADP
ap-965	128	34	equivalence	equivalence	NOUN
ap-965	128	35	,	,	PUNCT
ap-965	128	36	each	each	DET
ap-965	128	37	class	class	NOUN
ap-965	128	38	of	of	ADP
ap-965	128	39	equivalence	equivalence	NOUN
ap-965	128	40	being	be	AUX
ap-965	128	41	singled	single	VERB
ap-965	128	42	out	out	ADP
ap-965	128	43	by	by	ADP
ap-965	128	44	an	an	DET
ap-965	128	45	associated	associated	ADJ
ap-965	128	46	mini	mini	PROPN
ap-965	128	47	©	©	PROPN
ap-965	128	48	czech	czech	PROPN
ap-965	128	49	technical	technical	PROPN
ap-965	128	50	university	university	PROPN
ap-965	128	51	publishing	publishing	NOUN
ap-965	128	52	house	house	NOUN
ap-965	128	53	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	128	54	61	61	NUM
ap-965	128	55	acta	acta	PROPN
ap-965	128	56	polytechnica	polytechnica	PROPN
ap-965	128	57	vol	vol	NOUN
ap-965	128	58	.	.	PUNCT
ap-965	129	1	48	48	NUM
ap-965	129	2	no	no	NOUN
ap-965	129	3	.	.	PUNCT
ap-965	130	1	2/2008	2/2008	NOUN
ap-965	130	2	n	n	NOUN
ap-965	130	3	1	1	NUM
ap-965	130	4	2	2	NUM
ap-965	130	5	3	3	NUM
ap-965	130	6	4	4	NUM
ap-965	130	7	5	5	NUM
ap-965	130	8	6	6	NUM
ap-965	130	9	7	7	NUM
ap-965	130	10	8	8	NUM
ap-965	130	11	g(n	g(n	PROPN
ap-965	130	12	)	)	PUNCT
ap-965	130	13	1	1	NUM
ap-965	130	14	2	2	NUM
ap-965	130	15	4	4	NUM
ap-965	130	16	4	4	NUM
ap-965	130	17	8	8	NUM
ap-965	130	18	8	8	NUM
ap-965	130	19	8	8	NUM
ap-965	130	20	8	8	NUM
ap-965	130	21	(	(	PUNCT
ap-965	130	22	3.23	3.23	NUM
ap-965	130	23	)	)	PUNCT
ap-965	130	24	n	n	PRON
ap-965	130	25	�	�	PROPN
ap-965	130	26	1	1	NUM
ap-965	130	27	1	1	NUM
ap-965	130	28	n	n	PRON
ap-965	130	29	�	�	NOUN
ap-965	130	30	9	9	NUM
ap-965	130	31	16	16	NUM
ap-965	130	32	n	n	PRON
ap-965	130	33	�	�	PROPN
ap-965	130	34	17	17	NUM
ap-965	130	35	256	256	NUM
ap-965	130	36	n	n	DET
ap-965	130	37	�	�	PROPN
ap-965	130	38	25	25	NUM
ap-965	130	39	4096	4096	NUM
ap-965	130	40	n	n	SYM
ap-965	130	41	�	�	PROPN
ap-965	130	42	2	2	NUM
ap-965	130	43	2	2	NUM
ap-965	130	44	n	n	PRON
ap-965	130	45	�	�	PROPN
ap-965	130	46	10	10	NUM
ap-965	130	47	32	32	NUM
ap-965	130	48	n	n	PRON
ap-965	130	49	�	�	PROPN
ap-965	130	50	18	18	NUM
ap-965	130	51	512	512	NUM
ap-965	130	52	n	n	PRON
ap-965	130	53	�	�	PROPN
ap-965	130	54	26	26	NUM
ap-965	130	55	8192	8192	NUM
ap-965	130	56	n	n	PRON
ap-965	130	57	�	�	PROPN
ap-965	130	58	3	3	NUM
ap-965	130	59	4	4	NUM
ap-965	130	60	n	n	PRON
ap-965	130	61	�	�	PROPN
ap-965	130	62	11	11	NUM
ap-965	130	63	64	64	NUM
ap-965	130	64	n	n	SYM
ap-965	130	65	�	�	PROPN
ap-965	130	66	19	19	NUM
ap-965	130	67	1024	1024	NUM
ap-965	130	68	n	n	X
ap-965	130	69	�	�	PROPN
ap-965	130	70	27	27	NUM
ap-965	130	71	16384	16384	NUM
ap-965	130	72	n	n	PRON
ap-965	130	73	�	�	PROPN
ap-965	130	74	4	4	NUM
ap-965	130	75	4	4	NUM
ap-965	130	76	n	n	DET
ap-965	130	77	�	�	PROPN
ap-965	130	78	12	12	NUM
ap-965	130	79	64	64	NUM
ap-965	130	80	n	n	SYM
ap-965	130	81	�	�	PROPN
ap-965	130	82	20	20	NUM
ap-965	130	83	1024	1024	NUM
ap-965	130	84	n	n	PRON
ap-965	130	85	�	�	PROPN
ap-965	130	86	28	28	NUM
ap-965	130	87	16384	16384	NUM
ap-965	130	88	n	n	X
ap-965	130	89	�	�	PROPN
ap-965	130	90	5	5	NUM
ap-965	130	91	8	8	NUM
ap-965	130	92	n	n	PRON
ap-965	130	93	�	�	PROPN
ap-965	130	94	13	13	NUM
ap-965	130	95	128	128	NUM
ap-965	130	96	n	n	PRON
ap-965	130	97	�	�	PROPN
ap-965	130	98	21	21	NUM
ap-965	130	99	2048	2048	NUM
ap-965	130	100	n	n	PRON
ap-965	130	101	�	�	PROPN
ap-965	130	102	29	29	NUM
ap-965	130	103	32768	32768	NUM
ap-965	130	104	n	n	PRON
ap-965	130	105	�	�	PROPN
ap-965	130	106	6	6	NUM
ap-965	130	107	8	8	NUM
ap-965	130	108	n	n	PRON
ap-965	130	109	�	�	PROPN
ap-965	130	110	14	14	NUM
ap-965	130	111	128	128	NUM
ap-965	130	112	n	n	DET
ap-965	130	113	�	�	PROPN
ap-965	130	114	22	22	NUM
ap-965	130	115	2048	2048	NUM
ap-965	130	116	n	n	PRON
ap-965	130	117	�	�	PROPN
ap-965	130	118	30	30	NUM
ap-965	130	119	32768	32768	NUM
ap-965	130	120	n	n	PRON
ap-965	130	121	�	�	PROPN
ap-965	130	122	7	7	NUM
ap-965	130	123	8	8	NUM
ap-965	130	124	n	n	PRON
ap-965	130	125	�	�	PROPN
ap-965	130	126	15	15	NUM
ap-965	130	127	128	128	NUM
ap-965	130	128	n	n	NUM
ap-965	130	129	�	�	PROPN
ap-965	130	130	23	23	NUM
ap-965	130	131	2048	2048	NUM
ap-965	130	132	n	n	SYM
ap-965	130	133	�	�	PROPN
ap-965	130	134	31	31	NUM
ap-965	130	135	32768	32768	NUM
ap-965	130	136	n	n	X
ap-965	130	137	�	�	PROPN
ap-965	130	138	8	8	NUM
ap-965	130	139	8	8	NUM
ap-965	130	140	n	n	PRON
ap-965	130	141	�	�	PROPN
ap-965	130	142	16	16	NUM
ap-965	130	143	128	128	NUM
ap-965	130	144	n	n	SYM
ap-965	130	145	�	�	PROPN
ap-965	130	146	24	24	NUM
ap-965	130	147	2048	2048	NUM
ap-965	130	148	n	n	PRON
ap-965	130	149	�	�	PROPN
ap-965	130	150	32	32	NUM
ap-965	130	151	32768	32768	NUM
ap-965	130	152	(	(	PUNCT
ap-965	130	153	3.24	3.24	NUM
ap-965	130	154	)	)	PUNCT
ap-965	130	155	mal	mal	ADJ
ap-965	130	156	length	length	NOUN
ap-965	130	157	(	(	PUNCT
ap-965	130	158	l	l	NOUN
ap-965	130	159	�	�	PROPN
ap-965	130	160	2	2	NUM
ap-965	130	161	)	)	PUNCT
ap-965	130	162	irreducible	irreducible	ADJ
ap-965	130	163	multiplet	multiplet	NOUN
ap-965	130	164	.	.	PUNCT
ap-965	131	1	it	it	PRON
ap-965	131	2	was	be	AUX
ap-965	131	3	further	far	ADV
ap-965	131	4	proven	prove	VERB
ap-965	131	5	that	that	SCONJ
ap-965	131	6	the	the	DET
ap-965	131	7	minimal	minimal	ADJ
ap-965	131	8	length	length	NOUN
ap-965	131	9	irreducible	irreducible	ADJ
ap-965	131	10	multiplets	multiplet	NOUN
ap-965	131	11	are	be	AUX
ap-965	131	12	in	in	ADP
ap-965	131	13	1	1	NUM
ap-965	131	14	-	-	PUNCT
ap-965	131	15	to-1	to-1	ADP
ap-965	131	16	correspondence	correspondence	NOUN
ap-965	131	17	with	with	ADP
ap-965	131	18	a	a	DET
ap-965	131	19	subclass	subclass	NOUN
ap-965	131	20	of	of	ADP
ap-965	131	21	clifford	clifford	PROPN
ap-965	131	22	algebras	algebras	PROPN
ap-965	131	23	(	(	PUNCT
ap-965	131	24	those	those	PRON
ap-965	131	25	which	which	PRON
ap-965	131	26	satisfy	satisfy	VERB
ap-965	131	27	a	a	DET
ap-965	131	28	weyl	weyl	VERB
ap-965	131	29	property	property	NOUN
ap-965	131	30	)	)	PUNCT
ap-965	131	31	.	.	PUNCT
ap-965	132	1	the	the	DET
ap-965	132	2	connection	connection	NOUN
ap-965	132	3	goes	go	VERB
ap-965	132	4	as	as	SCONJ
ap-965	132	5	follows	follow	VERB
ap-965	132	6	.	.	PUNCT
ap-965	133	1	the	the	DET
ap-965	133	2	supersymmetry	supersymmetry	NOUN
ap-965	133	3	generators	generator	NOUN
ap-965	133	4	acting	act	VERB
ap-965	133	5	on	on	ADP
ap-965	133	6	a	a	DET
ap-965	133	7	length-2	length-2	NOUN
ap-965	133	8	irreducible	irreducible	ADJ
ap-965	133	9	multiplet	multiplet	NOUN
ap-965	133	10	can	can	AUX
ap-965	133	11	be	be	AUX
ap-965	133	12	expressed	express	VERB
ap-965	133	13	as	as	ADP
ap-965	133	14	qi	qi	NOUN
ap-965	133	15	h	h	NOUN
ap-965	134	1	i	i	PRON
ap-965	134	2	i	i	PRON
ap-965	134	3	�	�	PROPN
ap-965	134	4	�	�	PROPN
ap-965	134	5	�	�	PROPN
ap-965	134	6	�	�	PROPN
ap-965	134	7	�	�	PROPN
ap-965	134	8	�	�	PROPN
ap-965	134	9	1	1	NUM
ap-965	134	10	2	2	NUM
ap-965	134	11	0	0	NUM
ap-965	134	12	0	0	NUM
ap-965	134	13	�	�	PROPN
ap-965	134	14	�	�	PROPN
ap-965	134	15	~	~	PUNCT
ap-965	134	16	,	,	PUNCT
ap-965	134	17	(	(	PUNCT
ap-965	134	18	3.25	3.25	NUM
ap-965	134	19	)	)	PUNCT
ap-965	134	20	where	where	SCONJ
ap-965	134	21	�	�	PROPN
ap-965	134	22	i	i	PROPN
ap-965	134	23	and	and	CCONJ
ap-965	134	24	~	~	PUNCT
ap-965	134	25	�	�	NOUN
ap-965	134	26	i	i	PRON
ap-965	134	27	are	be	AUX
ap-965	134	28	matrices	matrix	NOUN
ap-965	134	29	entering	enter	VERB
ap-965	134	30	a	a	DET
ap-965	134	31	weyl	weyl	ADJ
ap-965	134	32	type	type	NOUN
ap-965	134	33	(	(	PUNCT
ap-965	134	34	i.e.	i.e.	X
ap-965	134	35	block	block	NOUN
ap-965	134	36	antidiagonal	antidiagonal	ADJ
ap-965	134	37	)	)	PUNCT
ap-965	134	38	irreducible	irreducible	ADJ
ap-965	134	39	representation	representation	NOUN
ap-965	134	40	of	of	ADP
ap-965	134	41	the	the	DET
ap-965	134	42	clifford	clifford	PROPN
ap-965	134	43	algebra	algebra	PROPN
ap-965	134	44	relation	relation	PROPN
ap-965	134	45	�	�	PROPN
ap-965	134	46	i	i	PRON
ap-965	135	1	i	i	PRON
ap-965	135	2	i	i	PRON
ap-965	135	3	�	�	PROPN
ap-965	135	4	�	�	PROPN
ap-965	135	5	�	�	PROPN
ap-965	135	6	�	�	PROPN
ap-965	135	7	�	�	PROPN
ap-965	135	8	0	0	NUM
ap-965	135	9	0	0	NUM
ap-965	135	10	�	�	PROPN
ap-965	135	11	�	�	PROPN
ap-965	135	12	~	~	PUNCT
ap-965	135	13	,	,	PUNCT
ap-965	135	14	{	{	PUNCT
ap-965	135	15	,	,	PUNCT
ap-965	135	16	}	}	PUNCT
ap-965	135	17	�	�	PROPN
ap-965	135	18	�	�	PROPN
ap-965	135	19	i	i	PROPN
ap-965	135	20	j	j	PROPN
ap-965	135	21	ij	ij	PROPN
ap-965	135	22	�	�	PROPN
ap-965	135	23	2	2	NUM
ap-965	135	24	�	�	PROPN
ap-965	135	25	.	.	PUNCT
ap-965	136	1	(	(	PUNCT
ap-965	136	2	3.26	3.26	NUM
ap-965	136	3	)	)	PUNCT
ap-965	136	4	the	the	DET
ap-965	136	5	qi	qi	NOUN
ap-965	136	6	’s	’s	NOUN
ap-965	136	7	in	in	ADP
ap-965	136	8	(	(	PUNCT
ap-965	136	9	3.25	3.25	NUM
ap-965	136	10	)	)	PUNCT
ap-965	136	11	are	be	AUX
ap-965	136	12	supermatrices	supermatrice	NOUN
ap-965	136	13	with	with	ADP
ap-965	136	14	vanishing	vanish	VERB
ap-965	136	15	bosonic	bosonic	NOUN
ap-965	136	16	and	and	CCONJ
ap-965	136	17	non	non	ADJ
ap-965	136	18	-	-	ADJ
ap-965	136	19	vanishing	vanishing	ADJ
ap-965	136	20	fermionic	fermionic	NOUN
ap-965	136	21	blocks	block	NOUN
ap-965	136	22	,	,	PUNCT
ap-965	136	23	acting	act	VERB
ap-965	136	24	on	on	ADP
ap-965	136	25	an	an	DET
ap-965	136	26	irreducible	irreducible	ADJ
ap-965	136	27	multiplet	multiplet	NOUN
ap-965	136	28	m	m	PROPN
ap-965	136	29	(	(	PUNCT
ap-965	136	30	thought	think	VERB
ap-965	136	31	of	of	ADP
ap-965	136	32	as	as	ADP
ap-965	136	33	a	a	DET
ap-965	136	34	column	column	NOUN
ap-965	136	35	vector	vector	NOUN
ap-965	136	36	)	)	PUNCT
ap-965	136	37	which	which	PRON
ap-965	136	38	can	can	AUX
ap-965	136	39	be	be	AUX
ap-965	136	40	either	either	CCONJ
ap-965	136	41	bosonic	bosonic	NOUN
ap-965	136	42	or	or	CCONJ
ap-965	136	43	fermionic	fermionic	NOUN
ap-965	136	44	.	.	PUNCT
ap-965	137	1	we	we	PRON
ap-965	137	2	conventionally	conventionally	ADV
ap-965	137	3	consider	consider	VERB
ap-965	137	4	a	a	DET
ap-965	137	5	length-2	length-2	NOUN
ap-965	137	6	irreducible	irreducible	ADJ
ap-965	137	7	multiplet	multiplet	NOUN
ap-965	137	8	as	as	ADP
ap-965	137	9	bosonic	bosonic	NOUN
ap-965	137	10	if	if	SCONJ
ap-965	137	11	its	its	PRON
ap-965	137	12	upper	upper	ADJ
ap-965	137	13	half	half	ADJ
ap-965	137	14	part	part	NOUN
ap-965	137	15	of	of	ADP
ap-965	137	16	component	component	NOUN
ap-965	137	17	fields	field	NOUN
ap-965	137	18	is	be	AUX
ap-965	137	19	bosonic	bosonic	NOUN
ap-965	137	20	and	and	CCONJ
ap-965	137	21	its	its	PRON
ap-965	137	22	lower	low	ADJ
ap-965	137	23	half	half	NOUN
ap-965	137	24	is	be	AUX
ap-965	137	25	fermionic	fermionic	NOUN
ap-965	137	26	.	.	PUNCT
ap-965	138	1	it	it	PRON
ap-965	138	2	is	be	AUX
ap-965	138	3	fermionic	fermionic	NOUN
ap-965	138	4	in	in	ADP
ap-965	138	5	the	the	DET
ap-965	138	6	converse	converse	NOUN
ap-965	138	7	case	case	NOUN
ap-965	138	8	.	.	PUNCT
ap-965	139	1	the	the	DET
ap-965	139	2	connection	connection	NOUN
ap-965	139	3	between	between	ADP
ap-965	139	4	clifford	clifford	PROPN
ap-965	139	5	algebra	algebra	PROPN
ap-965	139	6	irreps	irrep	NOUN
ap-965	139	7	of	of	ADP
ap-965	139	8	the	the	DET
ap-965	139	9	weyl	weyl	VERB
ap-965	139	10	type	type	NOUN
ap-965	139	11	and	and	CCONJ
ap-965	139	12	minimal	minimal	ADJ
ap-965	139	13	length	length	NOUN
ap-965	139	14	irreps	irrep	NOUN
ap-965	139	15	of	of	ADP
ap-965	139	16	the	the	DET
ap-965	139	17	n	n	ADV
ap-965	139	18	-	-	PUNCT
ap-965	139	19	extended	extend	VERB
ap-965	139	20	one	one	NUM
ap-965	139	21	-	-	PUNCT
ap-965	139	22	dimensional	dimensional	ADJ
ap-965	139	23	supersymmetry	supersymmetry	NOUN
ap-965	139	24	is	be	AUX
ap-965	139	25	such	such	ADJ
ap-965	139	26	that	that	SCONJ
ap-965	139	27	d	d	NOUN
ap-965	139	28	,	,	PUNCT
ap-965	139	29	the	the	DET
ap-965	139	30	dimensionality	dimensionality	NOUN
ap-965	139	31	of	of	ADP
ap-965	139	32	the	the	DET
ap-965	139	33	(	(	PUNCT
ap-965	139	34	euclidean	euclidean	ADJ
ap-965	139	35	,	,	PUNCT
ap-965	139	36	in	in	ADP
ap-965	139	37	the	the	DET
ap-965	139	38	present	present	ADJ
ap-965	139	39	case	case	NOUN
ap-965	139	40	)	)	PUNCT
ap-965	139	41	space	space	NOUN
ap-965	139	42	-	-	PUNCT
ap-965	139	43	time	time	NOUN
ap-965	139	44	of	of	ADP
ap-965	139	45	the	the	DET
ap-965	139	46	clifford	clifford	PROPN
ap-965	139	47	algebra	algebra	PROPN
ap-965	139	48	(	(	PUNCT
ap-965	139	49	3.26	3.26	NUM
ap-965	139	50	)	)	PUNCT
ap-965	139	51	coincides	coincide	VERB
ap-965	139	52	with	with	ADP
ap-965	139	53	the	the	DET
ap-965	139	54	number	number	NOUN
ap-965	139	55	n	n	NUM
ap-965	139	56	of	of	ADP
ap-965	139	57	the	the	DET
ap-965	139	58	extended	extended	ADJ
ap-965	139	59	supersymmetries	supersymmetry	NOUN
ap-965	139	60	,	,	PUNCT
ap-965	139	61	according	accord	VERB
ap-965	139	62	to	to	ADP
ap-965	139	63	the	the	DET
ap-965	139	64	matrix	matrix	NOUN
ap-965	139	65	size	size	NOUN
ap-965	139	66	of	of	ADP
ap-965	139	67	the	the	DET
ap-965	139	68	associated	associated	ADJ
ap-965	139	69	clifford	clifford	PROPN
ap-965	139	70	algebra	algebra	PROPN
ap-965	139	71	(	(	PUNCT
ap-965	139	72	equal	equal	ADJ
ap-965	139	73	to	to	ADP
ap-965	139	74	2d	2d	NOUN
ap-965	139	75	,	,	PUNCT
ap-965	139	76	with	with	ADP
ap-965	139	77	d	d	NOUN
ap-965	139	78	given	give	VERB
ap-965	139	79	in	in	ADP
ap-965	139	80	(	(	PUNCT
ap-965	139	81	3.22	3.22	NUM
ap-965	139	82	)	)	PUNCT
ap-965	139	83	)	)	PUNCT
ap-965	140	1	corresponds	correspond	VERB
ap-965	140	2	to	to	ADP
ap-965	140	3	the	the	DET
ap-965	140	4	number	number	NOUN
ap-965	140	5	of	of	ADP
ap-965	140	6	(	(	PUNCT
ap-965	140	7	bosonic	bosonic	NOUN
ap-965	140	8	plus	plus	CCONJ
ap-965	140	9	fermionic	fermionic	NOUN
ap-965	140	10	)	)	PUNCT
ap-965	140	11	fields	field	NOUN
ap-965	140	12	entering	enter	VERB
ap-965	140	13	the	the	DET
ap-965	140	14	one	one	NUM
ap-965	140	15	-	-	PUNCT
ap-965	140	16	dimensional	dimensional	ADJ
ap-965	140	17	n	n	CCONJ
ap-965	140	18	-	-	PUNCT
ap-965	140	19	extended	extend	VERB
ap-965	140	20	supersymmetry	supersymmetry	NOUN
ap-965	140	21	irrep	irrep	NOUN
ap-965	140	22	.	.	PUNCT
ap-965	141	1	the	the	DET
ap-965	141	2	classification	classification	NOUN
ap-965	141	3	of	of	ADP
ap-965	141	4	weyl	weyl	VERB
ap-965	141	5	-	-	PUNCT
ap-965	141	6	type	type	NOUN
ap-965	141	7	clifford	clifford	PROPN
ap-965	141	8	irreps	irrep	NOUN
ap-965	141	9	,	,	PUNCT
ap-965	141	10	furnished	furnish	VERB
ap-965	141	11	in	in	ADP
ap-965	141	12	[	[	X
ap-965	141	13	13	13	NUM
ap-965	141	14	]	]	PUNCT
ap-965	141	15	,	,	PUNCT
ap-965	141	16	can	can	AUX
ap-965	141	17	be	be	AUX
ap-965	141	18	easily	easily	ADV
ap-965	141	19	recovered	recover	VERB
ap-965	141	20	from	from	ADP
ap-965	141	21	the	the	DET
ap-965	141	22	well	well	ADV
ap-965	141	23	-	-	PUNCT
ap-965	141	24	known	know	VERB
ap-965	141	25	classification	classification	NOUN
ap-965	141	26	of	of	ADP
ap-965	141	27	clifford	clifford	PROPN
ap-965	141	28	irreps	irreps	PROPN
ap-965	141	29	,	,	PUNCT
ap-965	141	30	given	give	VERB
ap-965	141	31	in	in	ADP
ap-965	141	32	[	[	X
ap-965	141	33	20	20	NUM
ap-965	141	34	]	]	PUNCT
ap-965	141	35	(	(	PUNCT
ap-965	141	36	see	see	VERB
ap-965	141	37	also	also	ADV
ap-965	141	38	[	[	X
ap-965	141	39	21	21	NUM
ap-965	141	40	]	]	PUNCT
ap-965	141	41	and	and	CCONJ
ap-965	141	42	[	[	X
ap-965	141	43	22	22	NUM
ap-965	141	44	]	]	PUNCT
ap-965	141	45	)	)	PUNCT
ap-965	141	46	.	.	PUNCT
ap-965	142	1	the	the	DET
ap-965	142	2	(	(	PUNCT
ap-965	142	3	3.25	3.25	NUM
ap-965	142	4	)	)	PUNCT
ap-965	142	5	qi	qi	PROPN
ap-965	142	6	’s	’s	PART
ap-965	142	7	matrices	matrix	NOUN
ap-965	142	8	realizing	realize	VERB
ap-965	142	9	the	the	DET
ap-965	142	10	n	n	ADV
ap-965	142	11	-	-	PUNCT
ap-965	142	12	extended	extended	ADJ
ap-965	142	13	supersymmetry	supersymmetry	NOUN
ap-965	142	14	algebra	algebra	NOUN
ap-965	142	15	(	(	PUNCT
ap-965	142	16	3.21	3.21	NUM
ap-965	142	17	)	)	PUNCT
ap-965	142	18	on	on	ADP
ap-965	142	19	length-2	length-2	NOUN
ap-965	142	20	irreps	irrep	NOUN
ap-965	142	21	have	have	VERB
ap-965	142	22	entries	entry	NOUN
ap-965	142	23	which	which	PRON
ap-965	142	24	are	be	AUX
ap-965	142	25	either	either	CCONJ
ap-965	142	26	c	c	NOUN
ap-965	142	27	-	-	PUNCT
ap-965	142	28	numbers	number	NOUN
ap-965	142	29	or	or	CCONJ
ap-965	142	30	are	be	AUX
ap-965	142	31	proportional	proportional	ADJ
ap-965	142	32	to	to	ADP
ap-965	142	33	the	the	DET
ap-965	142	34	hamiltonian	hamiltonian	ADJ
ap-965	142	35	h.	h.	PROPN
ap-965	142	36	irreducible	irreducible	ADJ
ap-965	142	37	representations	representation	NOUN
ap-965	142	38	of	of	ADP
ap-965	142	39	higher	high	ADJ
ap-965	142	40	length	length	NOUN
ap-965	142	41	(	(	PUNCT
ap-965	142	42	l	l	NOUN
ap-965	142	43	�	�	PROPN
ap-965	142	44	3	3	NUM
ap-965	142	45	)	)	PUNCT
ap-965	142	46	are	be	AUX
ap-965	142	47	systematically	systematically	ADV
ap-965	142	48	produced	produce	VERB
ap-965	143	1	[	[	PUNCT
ap-965	143	2	13	13	NUM
ap-965	143	3	]	]	PUNCT
ap-965	143	4	through	through	ADP
ap-965	143	5	repeated	repeat	VERB
ap-965	143	6	applications	application	NOUN
ap-965	143	7	of	of	ADP
ap-965	143	8	the	the	DET
ap-965	143	9	dressing	dressing	NOUN
ap-965	143	10	transformations	transformation	NOUN
ap-965	144	1	q	q	NOUN
ap-965	144	2	q	q	X
ap-965	144	3	s	s	X
ap-965	144	4	q	q	X
ap-965	144	5	si	si	INTJ
ap-965	145	1	i	i	NOUN
ap-965	145	2	k	k	PROPN
ap-965	146	1	k	k	PROPN
ap-965	146	2	i	i	PRON
ap-965	146	3	k	k	PROPN
ap-965	146	4	�	�	PROPN
ap-965	146	5	�	�	PROPN
ap-965	146	6	(	(	PUNCT
ap-965	146	7	)	)	PUNCT
ap-965	146	8	(	(	PUNCT
ap-965	146	9	)	)	PUNCT
ap-965	146	10	(	(	PUNCT
ap-965	146	11	)	)	PUNCT
ap-965	146	12	�	�	PROPN
ap-965	146	13	�	�	PROPN
ap-965	146	14	1	1	NUM
ap-965	146	15	(	(	PUNCT
ap-965	146	16	3.28	3.28	NUM
ap-965	146	17	)	)	PUNCT
ap-965	146	18	realized	realize	VERB
ap-965	146	19	by	by	ADP
ap-965	146	20	diagonal	diagonal	ADJ
ap-965	146	21	matrices	matrix	NOUN
ap-965	146	22	s	s	PART
ap-965	146	23	k	k	NOUN
ap-965	146	24	(	(	PUNCT
ap-965	146	25	)	)	PUNCT
ap-965	146	26	’s	’s	PART
ap-965	147	1	(	(	PUNCT
ap-965	147	2	k	k	PROPN
ap-965	147	3	d	d	PROPN
ap-965	147	4	�	�	PROPN
ap-965	147	5	1	1	NUM
ap-965	147	6	2	2	NUM
ap-965	147	7	,	,	PUNCT
ap-965	147	8	,	,	PUNCT
ap-965	147	9	�	�	PROPN
ap-965	147	10	)	)	PUNCT
ap-965	147	11	with	with	ADP
ap-965	147	12	entries	entry	NOUN
ap-965	147	13	s	s	PART
ap-965	147	14	ij	ij	NOUN
ap-965	147	15	k	k	X
ap-965	147	16	(	(	PUNCT
ap-965	147	17	)	)	PUNCT
ap-965	147	18	given	give	VERB
ap-965	147	19	by	by	ADP
ap-965	147	20	s	s	PART
ap-965	147	21	hij	hij	PROPN
ap-965	147	22	k	k	X
ap-965	147	23	ij	ij	PROPN
ap-965	147	24	jk	jk	PROPN
ap-965	147	25	jk	jk	PROPN
ap-965	147	26	(	(	PUNCT
ap-965	147	27	)	)	PUNCT
ap-965	147	28	(	(	PUNCT
ap-965	147	29	)	)	PUNCT
ap-965	147	30	�	�	PROPN
ap-965	147	31	�	�	PROPN
ap-965	147	32	�	�	PROPN
ap-965	147	33	1	1	NUM
ap-965	147	34	.	.	PUNCT
ap-965	148	1	(	(	PUNCT
ap-965	148	2	3.29	3.29	NUM
ap-965	148	3	)	)	PUNCT
ap-965	148	4	some	some	DET
ap-965	148	5	remarks	remark	NOUN
ap-965	148	6	are	be	AUX
ap-965	148	7	in	in	ADP
ap-965	148	8	order	order	NOUN
ap-965	148	9	[	[	X
ap-965	148	10	13	13	NUM
ap-965	148	11	]	]	SYM
ap-965	148	12	:	:	PUNCT
ap-965	148	13	i	i	X
ap-965	148	14	)	)	PUNCT
ap-965	148	15	the	the	DET
ap-965	148	16	dressed	dressed	ADJ
ap-965	148	17	supersymmetry	supersymmetry	NOUN
ap-965	148	18	operators	operator	NOUN
ap-965	148	19	�	�	PROPN
ap-965	148	20	qi	qi	PROPN
ap-965	148	21	(	(	PUNCT
ap-965	148	22	for	for	ADP
ap-965	148	23	a	a	DET
ap-965	148	24	given	give	VERB
ap-965	148	25	set	set	NOUN
ap-965	148	26	of	of	ADP
ap-965	148	27	dressing	dress	VERB
ap-965	148	28	transformations	transformation	NOUN
ap-965	148	29	)	)	PUNCT
ap-965	148	30	have	have	VERB
ap-965	148	31	entries	entry	NOUN
ap-965	148	32	which	which	PRON
ap-965	148	33	are	be	AUX
ap-965	148	34	integral	integral	ADJ
ap-965	148	35	powers	power	NOUN
ap-965	148	36	of	of	ADP
ap-965	148	37	h.	h.	PROPN
ap-965	148	38	a	a	DET
ap-965	148	39	subclass	subclass	NOUN
ap-965	148	40	of	of	ADP
ap-965	148	41	the	the	DET
ap-965	148	42	�	�	PROPN
ap-965	148	43	qi	qi	PROPN
ap-965	148	44	s	s	PART
ap-965	148	45	dressed	dress	VERB
ap-965	148	46	operators	operator	NOUN
ap-965	148	47	is	be	AUX
ap-965	148	48	given	give	VERB
ap-965	148	49	by	by	ADP
ap-965	148	50	the	the	DET
ap-965	148	51	local	local	ADJ
ap-965	148	52	dressed	dressed	ADJ
ap-965	148	53	operators	operator	NOUN
ap-965	148	54	,	,	PUNCT
ap-965	148	55	whose	whose	DET
ap-965	148	56	entries	entry	NOUN
ap-965	148	57	are	be	AUX
ap-965	148	58	non	non	ADJ
ap-965	148	59	-	-	ADJ
ap-965	148	60	negative	negative	ADJ
ap-965	148	61	integral	integral	ADJ
ap-965	148	62	powers	power	NOUN
ap-965	148	63	of	of	ADP
ap-965	148	64	h	h	NOUN
ap-965	148	65	(	(	PUNCT
ap-965	148	66	their	their	PRON
ap-965	148	67	entries	entry	NOUN
ap-965	148	68	have	have	AUX
ap-965	148	69	no	no	DET
ap-965	148	70	1	1	NUM
ap-965	148	71	h	h	NOUN
ap-965	148	72	poles	pole	NOUN
ap-965	148	73	)	)	PUNCT
ap-965	148	74	.	.	PUNCT
ap-965	149	1	a	a	DET
ap-965	149	2	local	local	ADJ
ap-965	149	3	representation	representation	NOUN
ap-965	149	4	(	(	PUNCT
ap-965	149	5	irreps	irrep	NOUN
ap-965	149	6	fall	fall	VERB
ap-965	149	7	into	into	ADP
ap-965	149	8	this	this	DET
ap-965	149	9	class	class	NOUN
ap-965	149	10	)	)	PUNCT
ap-965	149	11	of	of	ADP
ap-965	149	12	an	an	DET
ap-965	149	13	extended	extended	ADJ
ap-965	149	14	supersymmetry	supersymmetry	NOUN
ap-965	149	15	is	be	AUX
ap-965	149	16	realized	realize	VERB
ap-965	149	17	by	by	ADP
ap-965	149	18	local	local	ADJ
ap-965	149	19	dressed	dressed	ADJ
ap-965	149	20	operators	operator	NOUN
ap-965	149	21	.	.	PUNCT
ap-965	150	1	the	the	DET
ap-965	150	2	number	number	NOUN
ap-965	150	3	of	of	ADP
ap-965	150	4	the	the	DET
ap-965	150	5	extension	extension	NOUN
ap-965	150	6	,	,	PUNCT
ap-965	150	7	given	give	VERB
ap-965	150	8	by	by	ADP
ap-965	150	9	�	�	PROPN
ap-965	150	10	�	�	PROPN
ap-965	150	11	�	�	PROPN
ap-965	150	12	n	n	PROPN
ap-965	150	13	n	n	CCONJ
ap-965	150	14	n	n	CCONJ
ap-965	150	15	(	(	PUNCT
ap-965	150	16	)	)	PUNCT
ap-965	150	17	,	,	PUNCT
ap-965	150	18	corresponds	correspond	VERB
ap-965	150	19	to	to	ADP
ap-965	150	20	the	the	DET
ap-965	150	21	number	number	NOUN
ap-965	150	22	of	of	ADP
ap-965	150	23	local	local	ADJ
ap-965	150	24	dressed	dressed	ADJ
ap-965	150	25	operators	operator	NOUN
ap-965	150	26	.	.	PUNCT
ap-965	151	1	ii	ii	X
ap-965	151	2	)	)	PUNCT
ap-965	151	3	the	the	DET
ap-965	151	4	local	local	ADJ
ap-965	151	5	dressed	dressed	ADJ
ap-965	151	6	representation	representation	NOUN
ap-965	151	7	is	be	AUX
ap-965	151	8	not	not	PART
ap-965	151	9	necessarily	necessarily	ADV
ap-965	151	10	an	an	DET
ap-965	151	11	irrep	irrep	NOUN
ap-965	151	12	.	.	PUNCT
ap-965	152	1	since	since	SCONJ
ap-965	152	2	the	the	DET
ap-965	152	3	total	total	ADJ
ap-965	152	4	number	number	NOUN
ap-965	152	5	of	of	ADP
ap-965	152	6	fields	field	NOUN
ap-965	152	7	(	(	PUNCT
ap-965	152	8	d	d	NOUN
ap-965	152	9	bosons	boson	NOUN
ap-965	152	10	and	and	CCONJ
ap-965	152	11	d	d	NOUN
ap-965	152	12	fermions	fermion	NOUN
ap-965	152	13	)	)	PUNCT
ap-965	152	14	is	be	AUX
ap-965	152	15	unchanged	unchanged	ADJ
ap-965	152	16	under	under	ADP
ap-965	152	17	dressing	dressing	NOUN
ap-965	152	18	,	,	PUNCT
ap-965	152	19	the	the	DET
ap-965	152	20	local	local	ADJ
ap-965	152	21	dressed	dressed	ADJ
ap-965	152	22	representation	representation	NOUN
ap-965	152	23	is	be	AUX
ap-965	152	24	an	an	DET
ap-965	152	25	irrep	irrep	ADJ
ap-965	152	26	iff	iff	PROPN
ap-965	152	27	d	d	PROPN
ap-965	152	28	and	and	CCONJ
ap-965	152	29	�	�	PROPN
ap-965	152	30	n	n	PRON
ap-965	152	31	satisfy	satisfy	VERB
ap-965	152	32	the	the	DET
ap-965	152	33	(	(	PUNCT
ap-965	152	34	3.22	3.22	NUM
ap-965	152	35	)	)	PUNCT
ap-965	152	36	requirement	requirement	NOUN
ap-965	152	37	(	(	PUNCT
ap-965	152	38	with	with	ADP
ap-965	152	39	�	�	NOUN
ap-965	152	40	n	n	PART
ap-965	152	41	in	in	ADP
ap-965	152	42	place	place	NOUN
ap-965	152	43	of	of	ADP
ap-965	152	44	n	n	CCONJ
ap-965	152	45	)	)	PUNCT
ap-965	152	46	.	.	PUNCT
ap-965	153	1	iii	iii	X
ap-965	153	2	)	)	PUNCT
ap-965	153	3	the	the	DET
ap-965	153	4	dressing	dressing	NOUN
ap-965	153	5	changes	change	VERB
ap-965	153	6	the	the	DET
ap-965	153	7	dimension	dimension	NOUN
ap-965	153	8	(	(	PUNCT
ap-965	153	9	spin	spin	NOUN
ap-965	153	10	)	)	PUNCT
ap-965	153	11	of	of	ADP
ap-965	153	12	the	the	DET
ap-965	153	13	fields	field	NOUN
ap-965	153	14	of	of	ADP
ap-965	153	15	the	the	DET
ap-965	153	16	original	original	ADJ
ap-965	153	17	multiplet	multiplet	NOUN
ap-965	153	18	m.	m.	NOUN
ap-965	153	19	under	under	ADP
ap-965	153	20	the	the	DET
ap-965	153	21	s	s	X
ap-965	153	22	k	k	X
ap-965	153	23	(	(	PUNCT
ap-965	153	24	)	)	PUNCT
ap-965	153	25	dressing	dress	VERB
ap-965	153	26	transformation	transformation	NOUN
ap-965	153	27	(	(	PUNCT
ap-965	153	28	3.28	3.28	NUM
ap-965	153	29	)	)	PUNCT
ap-965	153	30	,	,	PUNCT
ap-965	153	31	m	m	PROPN
ap-965	153	32	s	s	PROPN
ap-965	153	33	mk	mk	X
ap-965	153	34	�	�	PROPN
ap-965	153	35	(	(	PUNCT
ap-965	153	36	)	)	PUNCT
ap-965	153	37	,	,	PUNCT
ap-965	153	38	all	all	DET
ap-965	153	39	fields	field	NOUN
ap-965	153	40	entering	enter	VERB
ap-965	153	41	m	m	VERB
ap-965	153	42	are	be	AUX
ap-965	153	43	unchanged	unchanged	ADJ
ap-965	153	44	apart	apart	ADV
ap-965	153	45	from	from	ADP
ap-965	153	46	the	the	DET
ap-965	153	47	k	k	NOUN
ap-965	153	48	-	-	PUNCT
ap-965	153	49	th	th	VERB
ap-965	153	50	one	one	NUM
ap-965	153	51	(	(	PUNCT
ap-965	153	52	denoted	denote	VERB
ap-965	153	53	,	,	PUNCT
ap-965	153	54	e.g.	e.g.	ADV
ap-965	153	55	,	,	PUNCT
ap-965	153	56	as	as	ADP
ap-965	153	57	�	�	PROPN
ap-965	153	58	k	k	PROPN
ap-965	153	59	and	and	CCONJ
ap-965	153	60	mapped	map	VERB
ap-965	153	61	to	to	ADP
ap-965	153	62	�	�	PROPN
ap-965	153	63	�	�	PROPN
ap-965	153	64	k	k	NOUN
ap-965	153	65	)	)	PUNCT
ap-965	153	66	.	.	PUNCT
ap-965	154	1	its	its	PRON
ap-965	154	2	dimension	dimension	NOUN
ap-965	154	3	is	be	AUX
ap-965	154	4	changed	change	VERB
ap-965	154	5	from	from	ADP
ap-965	154	6	[	[	PUNCT
ap-965	154	7	]	]	X
ap-965	154	8	[	[	PUNCT
ap-965	154	9	]	]	X
ap-965	154	10	k	k	X
ap-965	154	11	k	k	PROPN
ap-965	154	12	�	�	PROPN
ap-965	154	13	�	�	PROPN
ap-965	154	14	1	1	NUM
ap-965	154	15	.	.	PUNCT
ap-965	155	1	this	this	PRON
ap-965	155	2	is	be	AUX
ap-965	155	3	why	why	SCONJ
ap-965	155	4	the	the	DET
ap-965	155	5	dressing	dressing	NOUN
ap-965	155	6	changes	change	VERB
ap-965	155	7	the	the	DET
ap-965	155	8	length	length	NOUN
ap-965	155	9	of	of	ADP
ap-965	155	10	a	a	DET
ap-965	155	11	multiplet	multiplet	NOUN
ap-965	155	12	.	.	PUNCT
ap-965	156	1	as	as	ADP
ap-965	156	2	an	an	DET
ap-965	156	3	example	example	NOUN
ap-965	156	4	,	,	PUNCT
ap-965	156	5	if	if	SCONJ
ap-965	156	6	the	the	DET
ap-965	156	7	original	original	ADJ
ap-965	156	8	length-2	length-2	NOUN
ap-965	156	9	multiplet	multiplet	NOUN
ap-965	156	10	m	m	PROPN
ap-965	156	11	is	be	AUX
ap-965	156	12	a	a	DET
ap-965	156	13	bosonic	bosonic	NOUN
ap-965	156	14	multiplet	multiplet	NOUN
ap-965	156	15	with	with	ADP
ap-965	156	16	d	d	PROPN
ap-965	156	17	spin-0	spin-0	NUM
ap-965	156	18	bosonic	bosonic	NOUN
ap-965	156	19	fields	field	NOUN
ap-965	156	20	and	and	CCONJ
ap-965	156	21	d	d	PROPN
ap-965	156	22	spin-1	spin-1	PROPN
ap-965	156	23	2	2	NUM
ap-965	156	24	fermionic	fermionic	NOUN
ap-965	156	25	fields	field	NOUN
ap-965	156	26	(	(	PUNCT
ap-965	156	27	in	in	ADP
ap-965	156	28	the	the	DET
ap-965	156	29	following	following	NOUN
ap-965	156	30	such	such	DET
ap-965	156	31	a	a	DET
ap-965	156	32	multiplet	multiplet	NOUN
ap-965	156	33	will	will	AUX
ap-965	156	34	be	be	AUX
ap-965	156	35	denoted	denote	VERB
ap-965	156	36	as	as	ADP
ap-965	156	37	(	(	PUNCT
ap-965	156	38	;	;	PUNCT
ap-965	156	39	)	)	PUNCT
ap-965	156	40	(	(	PUNCT
ap-965	156	41	,	,	PUNCT
ap-965	156	42	)	)	PUNCT
ap-965	156	43	x	x	X
ap-965	157	1	d	d	X
ap-965	157	2	di	di	X
ap-965	157	3	j	j	PROPN
ap-965	157	4	s	s	PROPN
ap-965	157	5	�	�	PROPN
ap-965	157	6	�	�	PROPN
ap-965	157	7	�	�	PROPN
ap-965	157	8	0	0	NUM
ap-965	157	9	,	,	PUNCT
ap-965	157	10	for	for	ADP
ap-965	157	11	i	i	PRON
ap-965	157	12	j	j	PROPN
ap-965	157	13	d	d	PROPN
ap-965	157	14	,	,	PUNCT
ap-965	157	15	,	,	PUNCT
ap-965	157	16	,	,	PUNCT
ap-965	157	17	�	�	PROPN
ap-965	157	18	1	1	NUM
ap-965	157	19	�	�	PROPN
ap-965	157	20	)	)	PUNCT
ap-965	157	21	,	,	PUNCT
ap-965	157	22	then	then	ADV
ap-965	157	23	s	s	VERB
ap-965	157	24	mk	mk	PROPN
ap-965	157	25	(	(	PUNCT
ap-965	157	26	)	)	PUNCT
ap-965	157	27	,	,	PUNCT
ap-965	157	28	for	for	ADP
ap-965	157	29	k	k	PROPN
ap-965	157	30	d	d	PROPN
ap-965	157	31	�	�	PROPN
ap-965	157	32	,	,	PUNCT
ap-965	157	33	corresponds	correspond	VERB
ap-965	157	34	to	to	ADP
ap-965	157	35	a	a	DET
ap-965	157	36	length-3	length-3	NUM
ap-965	157	37	multiplet	multiplet	NOUN
ap-965	157	38	with	with	ADP
ap-965	157	39	d	d	PROPN
ap-965	157	40	�	�	PROPN
ap-965	157	41	1bosonic	1bosonic	NUM
ap-965	157	42	spin-0	spin-0	NUM
ap-965	157	43	fields	field	NOUN
ap-965	157	44	,	,	PUNCT
ap-965	157	45	d	d	PRON
ap-965	157	46	spin1	spin1	NOUN
ap-965	157	47	2	2	NUM
ap-965	157	48	fermionic	fermionic	NOUN
ap-965	157	49	fields	field	NOUN
ap-965	157	50	and	and	CCONJ
ap-965	157	51	a	a	DET
ap-965	157	52	single	single	ADJ
ap-965	157	53	spin-1	spin-1	PROPN
ap-965	157	54	bosonic	bosonic	NOUN
ap-965	157	55	field	field	NOUN
ap-965	157	56	(	(	PUNCT
ap-965	157	57	in	in	ADP
ap-965	157	58	the	the	DET
ap-965	157	59	following	following	NOUN
ap-965	157	60	we	we	PRON
ap-965	157	61	employ	employ	VERB
ap-965	157	62	the	the	DET
ap-965	157	63	notation	notation	NOUN
ap-965	157	64	(	(	PUNCT
ap-965	157	65	,	,	PUNCT
ap-965	157	66	,	,	PUNCT
ap-965	157	67	)	)	PUNCT
ap-965	157	68	d	d	X
ap-965	157	69	d	d	SYM
ap-965	157	70	s	s	PROPN
ap-965	157	71	�	�	PROPN
ap-965	157	72	�	�	PROPN
ap-965	157	73	1	1	NUM
ap-965	157	74	1	1	NUM
ap-965	157	75	0	0	NUM
ap-965	157	76	for	for	ADP
ap-965	157	77	such	such	DET
ap-965	157	78	a	a	DET
ap-965	157	79	multiplet	multiplet	NOUN
ap-965	157	80	)	)	PUNCT
ap-965	157	81	.	.	PUNCT
ap-965	158	1	let	let	VERB
ap-965	158	2	us	we	PRON
ap-965	158	3	now	now	ADV
ap-965	158	4	fix	fix	VERB
ap-965	158	5	the	the	DET
ap-965	158	6	overall	overall	ADJ
ap-965	158	7	conventions	convention	NOUN
ap-965	158	8	.	.	PUNCT
ap-965	159	1	the	the	DET
ap-965	159	2	most	most	ADV
ap-965	159	3	general	general	ADJ
ap-965	159	4	multiplet	multiplet	NOUN
ap-965	159	5	is	be	AUX
ap-965	159	6	of	of	ADP
ap-965	159	7	the	the	DET
ap-965	159	8	form	form	NOUN
ap-965	159	9	(	(	PUNCT
ap-965	159	10	d	d	NOUN
ap-965	159	11	d	d	X
ap-965	159	12	dl1	dl1	NOUN
ap-965	159	13	2	2	NUM
ap-965	159	14	,	,	PUNCT
ap-965	159	15	,	,	PUNCT
ap-965	159	16	,	,	PUNCT
ap-965	159	17	�	�	PROPN
ap-965	159	18	)	)	PUNCT
ap-965	159	19	,	,	PUNCT
ap-965	159	20	where	where	SCONJ
ap-965	159	21	di	di	NOUN
ap-965	159	22	for	for	ADP
ap-965	159	23	i	i	PROPN
ap-965	159	24	l	l	NOUN
ap-965	159	25	�	�	PROPN
ap-965	159	26	1	1	NUM
ap-965	159	27	2	2	NUM
ap-965	159	28	,	,	PUNCT
ap-965	159	29	,	,	PUNCT
ap-965	159	30	,	,	PUNCT
ap-965	159	31	�	�	PROPN
ap-965	159	32	specify	specify	VERB
ap-965	159	33	the	the	DET
ap-965	159	34	number	number	NOUN
ap-965	159	35	of	of	ADP
ap-965	159	36	fields	field	NOUN
ap-965	159	37	of	of	ADP
ap-965	159	38	a	a	DET
ap-965	159	39	given	give	VERB
ap-965	159	40	spin	spin	NOUN
ap-965	159	41	s	s	X
ap-965	159	42	i	i	PROPN
ap-965	159	43	�	�	PROPN
ap-965	159	44	�	�	PROPN
ap-965	159	45	1	1	NUM
ap-965	159	46	2	2	NUM
ap-965	159	47	.	.	PUNCT
ap-965	160	1	the	the	DET
ap-965	160	2	spin	spin	NOUN
ap-965	160	3	s	s	NOUN
ap-965	160	4	,	,	PUNCT
ap-965	160	5	i.e.	i.e.	X
ap-965	160	6	the	the	DET
ap-965	160	7	spin	spin	NOUN
ap-965	160	8	of	of	ADP
ap-965	160	9	the	the	DET
ap-965	160	10	lowest	low	ADJ
ap-965	160	11	component	component	NOUN
ap-965	160	12	fields	field	NOUN
ap-965	160	13	in	in	ADP
ap-965	160	14	the	the	DET
ap-965	160	15	multiplet	multiplet	NOUN
ap-965	160	16	,	,	PUNCT
ap-965	160	17	will	will	AUX
ap-965	160	18	also	also	ADV
ap-965	160	19	be	be	AUX
ap-965	160	20	referred	refer	VERB
ap-965	160	21	to	to	ADP
ap-965	160	22	as	as	ADP
ap-965	160	23	the	the	DET
ap-965	160	24	“	"	PUNCT
ap-965	160	25	spin	spin	NOUN
ap-965	160	26	of	of	ADP
ap-965	160	27	the	the	DET
ap-965	160	28	multiplet	multiplet	NOUN
ap-965	160	29	”	"	PUNCT
ap-965	160	30	.	.	PUNCT
ap-965	161	1	when	when	SCONJ
ap-965	161	2	looking	look	VERB
ap-965	161	3	purely	purely	ADV
ap-965	161	4	at	at	ADP
ap-965	161	5	the	the	DET
ap-965	161	6	representation	representation	NOUN
ap-965	161	7	properties	property	NOUN
ap-965	161	8	of	of	ADP
ap-965	161	9	a	a	DET
ap-965	161	10	given	give	VERB
ap-965	161	11	multiplet	multiplet	NOUN
ap-965	161	12	the	the	DET
ap-965	161	13	assignment	assignment	NOUN
ap-965	161	14	of	of	ADP
ap-965	161	15	an	an	DET
ap-965	161	16	overall	overall	ADJ
ap-965	161	17	spin	spin	NOUN
ap-965	161	18	s	s	VERB
ap-965	161	19	is	be	AUX
ap-965	161	20	arbitrary	arbitrary	ADJ
ap-965	161	21	,	,	PUNCT
ap-965	161	22	since	since	SCONJ
ap-965	161	23	the	the	DET
ap-965	161	24	supersymmetry	supersymmetry	NOUN
ap-965	161	25	transformations	transformation	NOUN
ap-965	161	26	of	of	ADP
ap-965	161	27	the	the	DET
ap-965	161	28	fields	field	NOUN
ap-965	161	29	are	be	AUX
ap-965	161	30	not	not	PART
ap-965	161	31	affected	affect	VERB
ap-965	161	32	by	by	ADP
ap-965	161	33	s.	s.	PROPN
ap-965	161	34	introducing	introduce	VERB
ap-965	161	35	a	a	DET
ap-965	161	36	spin	spin	NOUN
ap-965	161	37	is	be	AUX
ap-965	161	38	useful	useful	ADJ
ap-965	161	39	for	for	ADP
ap-965	161	40	tensoring	tensore	VERB
ap-965	161	41	multiplets	multiplet	NOUN
ap-965	161	42	and	and	CCONJ
ap-965	161	43	becomes	become	VERB
ap-965	161	44	essential	essential	ADJ
ap-965	161	45	for	for	ADP
ap-965	161	46	physical	physical	ADJ
ap-965	161	47	applications	application	NOUN
ap-965	161	48	,	,	PUNCT
ap-965	161	49	e.g.	e.g.	ADV
ap-965	161	50	in	in	ADP
ap-965	161	51	the	the	DET
ap-965	161	52	construction	construction	NOUN
ap-965	161	53	of	of	ADP
ap-965	161	54	supersymmetric	supersymmetric	ADJ
ap-965	161	55	invariant	invariant	ADJ
ap-965	161	56	terms	term	NOUN
ap-965	161	57	entering	enter	VERB
ap-965	161	58	an	an	DET
ap-965	161	59	action	action	NOUN
ap-965	161	60	.	.	PUNCT
ap-965	162	1	in	in	ADP
ap-965	162	2	the	the	DET
ap-965	162	3	above	above	ADJ
ap-965	162	4	multiplet	multiplet	PROPN
ap-965	162	5	l	l	PROPN
ap-965	162	6	denotes	denote	VERB
ap-965	162	7	its	its	PRON
ap-965	162	8	length	length	NOUN
ap-965	162	9	,	,	PUNCT
ap-965	162	10	dl	dl	PROPN
ap-965	162	11	the	the	DET
ap-965	162	12	number	number	NOUN
ap-965	162	13	of	of	ADP
ap-965	162	14	auxiliary	auxiliary	ADJ
ap-965	162	15	fields	field	NOUN
ap-965	162	16	of	of	ADP
ap-965	162	17	highest	high	ADJ
ap-965	162	18	spins	spin	NOUN
ap-965	162	19	transforming	transform	VERB
ap-965	162	20	as	as	ADP
ap-965	162	21	time	time	NOUN
ap-965	162	22	-	-	PUNCT
ap-965	162	23	derivatives	derivative	NOUN
ap-965	162	24	.	.	PUNCT
ap-965	163	1	the	the	DET
ap-965	163	2	total	total	ADJ
ap-965	163	3	number	number	NOUN
ap-965	163	4	of	of	ADP
ap-965	163	5	odd	odd	ADV
ap-965	163	6	-	-	PUNCT
ap-965	163	7	indexed	index	VERB
ap-965	163	8	equal	equal	ADJ
ap-965	163	9	the	the	DET
ap-965	163	10	total	total	ADJ
ap-965	163	11	number	number	NOUN
ap-965	163	12	of	of	ADP
ap-965	163	13	even	even	ADV
ap-965	163	14	-	-	PUNCT
ap-965	163	15	indexed	index	VERB
ap-965	163	16	fields	field	NOUN
ap-965	163	17	,	,	PUNCT
ap-965	163	18	i.e.	i.e.	X
ap-965	163	19	d	d	X
ap-965	163	20	d	d	X
ap-965	163	21	d	d	X
ap-965	163	22	d	d	X
ap-965	163	23	d1	d1	PROPN
ap-965	163	24	3	3	NUM
ap-965	163	25	2	2	NUM
ap-965	163	26	4	4	NUM
ap-965	163	27	�	�	PROPN
ap-965	163	28	�	�	PROPN
ap-965	163	29	�	�	PROPN
ap-965	163	30	�	�	PROPN
ap-965	163	31	�	�	PROPN
ap-965	163	32	�	�	PROPN
ap-965	163	33	�	�	PROPN
ap-965	163	34	�	�	PROPN
ap-965	163	35	.	.	PUNCT
ap-965	164	1	the	the	DET
ap-965	164	2	multiplet	multiplet	NOUN
ap-965	164	3	is	be	AUX
ap-965	164	4	bosonic	bosonic	NOUN
ap-965	164	5	if	if	SCONJ
ap-965	164	6	the	the	DET
ap-965	164	7	odd	odd	ADV
ap-965	164	8	-	-	PUNCT
ap-965	164	9	indexed	index	VERB
ap-965	164	10	fields	field	NOUN
ap-965	164	11	are	be	AUX
ap-965	164	12	bosonic	bosonic	NOUN
ap-965	164	13	and	and	CCONJ
ap-965	164	14	the	the	DET
ap-965	164	15	even	even	ADV
ap-965	164	16	-	-	PUNCT
ap-965	164	17	indexed	index	VERB
ap-965	164	18	fields	field	NOUN
ap-965	164	19	are	be	AUX
ap-965	164	20	fermionic	fermionic	NOUN
ap-965	164	21	(	(	PUNCT
ap-965	164	22	the	the	DET
ap-965	164	23	multiplet	multiplet	NOUN
ap-965	164	24	is	be	AUX
ap-965	164	25	62	62	NUM
ap-965	164	26	©	©	PROPN
ap-965	164	27	czech	czech	PROPN
ap-965	164	28	technical	technical	PROPN
ap-965	164	29	university	university	PROPN
ap-965	164	30	publishing	publishing	NOUN
ap-965	164	31	house	house	NOUN
ap-965	164	32	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	164	33	acta	acta	PROPN
ap-965	164	34	polytechnica	polytechnica	PROPN
ap-965	164	35	vol	vol	NOUN
ap-965	164	36	.	.	PUNCT
ap-965	165	1	48	48	NUM
ap-965	165	2	no	no	NOUN
ap-965	165	3	.	.	PUNCT
ap-965	166	1	2/2008	2/2008	PROPN
ap-965	166	2	�	�	PROPN
ap-965	166	3	of	of	ADP
ap-965	166	4	space	space	NOUN
ap-965	166	5	-	-	PUNCT
ap-965	166	6	time	time	NOUN
ap-965	166	7	dim	dim	NOUN
ap-965	166	8	.	.	PUNCT
ap-965	167	1	(	(	PUNCT
ap-965	167	2	weyl	weyl	PROPN
ap-965	167	3	-	-	PUNCT
ap-965	167	4	clifford	clifford	PROPN
ap-965	167	5	)	)	PUNCT
ap-965	167	6	�	�	PROPN
ap-965	167	7	�	�	PROPN
ap-965	167	8	of	of	ADP
ap-965	167	9	extended	extend	VERB
ap-965	167	10	su.sies	su.sie	NOUN
ap-965	167	11	(	(	PUNCT
ap-965	167	12	in	in	ADP
ap-965	167	13	1	1	NUM
ap-965	167	14	-	-	PUNCT
ap-965	167	15	dim	dim	NOUN
ap-965	167	16	.	.	PUNCT
ap-965	167	17	)	)	PUNCT
ap-965	168	1	d	d	X
ap-965	168	2	�	�	PROPN
ap-965	168	3	n	n	CCONJ
ap-965	168	4	(	(	PUNCT
ap-965	168	5	3.27	3.27	NUM
ap-965	168	6	)	)	PUNCT
ap-965	168	7	fermionic	fermionic	NOUN
ap-965	168	8	in	in	ADP
ap-965	168	9	the	the	DET
ap-965	168	10	converse	converse	NOUN
ap-965	168	11	case	case	NOUN
ap-965	168	12	)	)	PUNCT
ap-965	168	13	.	.	PUNCT
ap-965	169	1	for	for	ADP
ap-965	169	2	a	a	DET
ap-965	169	3	bosonic	bosonic	NOUN
ap-965	169	4	multiplet	multiplet	NOUN
ap-965	169	5	the	the	DET
ap-965	169	6	auxiliary	auxiliary	ADJ
ap-965	169	7	fields	field	NOUN
ap-965	169	8	are	be	AUX
ap-965	169	9	bosonic	bosonic	NOUN
ap-965	169	10	(	(	PUNCT
ap-965	169	11	fermionic	fermionic	NOUN
ap-965	169	12	)	)	PUNCT
ap-965	169	13	if	if	SCONJ
ap-965	169	14	the	the	DET
ap-965	169	15	length	length	NOUN
ap-965	169	16	l	l	NOUN
ap-965	169	17	is	be	AUX
ap-965	169	18	an	an	DET
ap-965	169	19	odd	odd	ADJ
ap-965	169	20	(	(	PUNCT
ap-965	169	21	even	even	ADV
ap-965	169	22	)	)	PUNCT
ap-965	169	23	number	number	NOUN
ap-965	169	24	.	.	PUNCT
ap-965	170	1	just	just	ADV
ap-965	170	2	like	like	ADP
ap-965	170	3	the	the	DET
ap-965	170	4	overall	overall	ADJ
ap-965	170	5	spin	spin	NOUN
ap-965	170	6	assignment	assignment	NOUN
ap-965	170	7	,	,	PUNCT
ap-965	170	8	the	the	DET
ap-965	170	9	assignment	assignment	NOUN
ap-965	170	10	of	of	ADP
ap-965	170	11	a	a	DET
ap-965	170	12	bosonic	bosonic	NOUN
ap-965	170	13	(	(	PUNCT
ap-965	170	14	fermionic	fermionic	NOUN
ap-965	170	15	)	)	PUNCT
ap-965	170	16	character	character	NOUN
ap-965	170	17	to	to	ADP
ap-965	170	18	a	a	DET
ap-965	170	19	multiplet	multiplet	NOUN
ap-965	170	20	is	be	AUX
ap-965	170	21	arbitrary	arbitrary	ADJ
ap-965	170	22	since	since	SCONJ
ap-965	170	23	the	the	DET
ap-965	170	24	mutual	mutual	ADJ
ap-965	170	25	transformation	transformation	NOUN
ap-965	170	26	properties	property	NOUN
ap-965	170	27	of	of	ADP
ap-965	170	28	the	the	DET
ap-965	170	29	fields	field	NOUN
ap-965	170	30	inside	inside	ADP
ap-965	170	31	a	a	DET
ap-965	170	32	multiplet	multiplet	NOUN
ap-965	170	33	are	be	AUX
ap-965	170	34	not	not	PART
ap-965	170	35	affected	affect	VERB
ap-965	170	36	by	by	ADP
ap-965	170	37	its	its	PRON
ap-965	170	38	statistics	statistic	NOUN
ap-965	170	39	.	.	PUNCT
ap-965	171	1	therefore	therefore	ADV
ap-965	171	2	,	,	PUNCT
ap-965	171	3	multiplets	multiplet	NOUN
ap-965	171	4	always	always	ADV
ap-965	171	5	appear	appear	VERB
ap-965	171	6	in	in	ADP
ap-965	171	7	dually	dually	ADV
ap-965	171	8	related	relate	VERB
ap-965	171	9	pairs	pair	NOUN
ap-965	171	10	so	so	SCONJ
ap-965	171	11	that	that	SCONJ
ap-965	171	12	to	to	ADP
ap-965	171	13	any	any	DET
ap-965	171	14	bosonic	bosonic	NOUN
ap-965	171	15	multiplet	multiplet	NOUN
ap-965	171	16	there	there	PRON
ap-965	171	17	exists	exist	VERB
ap-965	171	18	its	its	PRON
ap-965	171	19	fermionic	fermionic	NOUN
ap-965	171	20	counterpart	counterpart	NOUN
ap-965	171	21	with	with	ADP
ap-965	171	22	the	the	DET
ap-965	171	23	same	same	ADJ
ap-965	171	24	transformation	transformation	NOUN
ap-965	171	25	properties	property	NOUN
ap-965	171	26	(	(	PUNCT
ap-965	171	27	see	see	VERB
ap-965	171	28	also	also	ADV
ap-965	171	29	[	[	X
ap-965	171	30	23	23	NUM
ap-965	171	31	]	]	PUNCT
ap-965	171	32	)	)	PUNCT
ap-965	171	33	.	.	PUNCT
ap-965	172	1	throughout	throughout	ADP
ap-965	172	2	this	this	DET
ap-965	172	3	paper	paper	NOUN
ap-965	172	4	we	we	PRON
ap-965	172	5	assign	assign	VERB
ap-965	172	6	integer	integer	NOUN
ap-965	172	7	valued	value	VERB
ap-965	172	8	spins	spin	NOUN
ap-965	172	9	to	to	ADP
ap-965	172	10	bosonic	bosonic	NOUN
ap-965	172	11	multiplets	multiplet	NOUN
ap-965	172	12	and	and	CCONJ
ap-965	172	13	half	half	ADJ
ap-965	172	14	-	-	PUNCT
ap-965	172	15	integer	integer	NOUN
ap-965	172	16	valued	value	VERB
ap-965	172	17	spins	spin	NOUN
ap-965	172	18	to	to	ADP
ap-965	172	19	fermionic	fermionic	NOUN
ap-965	172	20	multiplets	multiplet	NOUN
ap-965	172	21	.	.	PUNCT
ap-965	173	1	as	as	SCONJ
ap-965	173	2	pointed	point	VERB
ap-965	173	3	out	out	ADP
ap-965	173	4	before	before	ADV
ap-965	173	5	,	,	PUNCT
ap-965	173	6	the	the	DET
ap-965	173	7	most	most	ADV
ap-965	173	8	general	general	ADJ
ap-965	173	9	(	(	PUNCT
ap-965	173	10	d	d	NOUN
ap-965	173	11	d	d	X
ap-965	173	12	dl1	dl1	NOUN
ap-965	173	13	2	2	NUM
ap-965	173	14	,	,	PUNCT
ap-965	173	15	,	,	PUNCT
ap-965	173	16	,	,	PUNCT
ap-965	173	17	�	�	PROPN
ap-965	173	18	)	)	PUNCT
ap-965	173	19	multiplet	multiplet	NOUN
ap-965	173	20	is	be	AUX
ap-965	173	21	recovered	recover	VERB
ap-965	173	22	as	as	ADP
ap-965	173	23	a	a	DET
ap-965	173	24	dressing	dressing	NOUN
ap-965	173	25	of	of	ADP
ap-965	173	26	its	its	PRON
ap-965	173	27	corresponding	corresponding	ADJ
ap-965	173	28	n	n	CCONJ
ap-965	173	29	-	-	PUNCT
ap-965	173	30	extended	extend	VERB
ap-965	173	31	length-2	length-2	NOUN
ap-965	173	32	(	(	PUNCT
ap-965	173	33	d	d	NOUN
ap-965	173	34	,	,	PUNCT
ap-965	173	35	d	d	NOUN
ap-965	173	36	)	)	PUNCT
ap-965	173	37	multiplet	multiplet	NOUN
ap-965	173	38	.	.	PUNCT
ap-965	174	1	in	in	ADP
ap-965	174	2	[	[	X
ap-965	174	3	13	13	NUM
ap-965	174	4	]	]	PUNCT
ap-965	174	5	it	it	PRON
ap-965	174	6	was	be	AUX
ap-965	174	7	shown	show	VERB
ap-965	174	8	that	that	SCONJ
ap-965	174	9	all	all	DET
ap-965	174	10	dressed	dressed	ADJ
ap-965	174	11	supersymmetry	supersymmetry	NOUN
ap-965	174	12	operators	operator	NOUN
ap-965	174	13	producing	produce	VERB
ap-965	174	14	any	any	DET
ap-965	174	15	length-3	length-3	NUM
ap-965	174	16	multiplet	multiplet	NOUN
ap-965	174	17	(	(	PUNCT
ap-965	174	18	of	of	ADP
ap-965	174	19	the	the	DET
ap-965	174	20	form	form	NOUN
ap-965	174	21	(	(	PUNCT
ap-965	174	22	,	,	PUNCT
ap-965	174	23	,	,	PUNCT
ap-965	174	24	)	)	PUNCT
ap-965	175	1	d	d	X
ap-965	175	2	p	p	X
ap-965	176	1	d	d	X
ap-965	176	2	p	p	X
ap-965	176	3	�	�	PROPN
ap-965	176	4	for	for	ADP
ap-965	176	5	p	p	PROPN
ap-965	176	6	d	d	PROPN
ap-965	176	7	�	�	PROPN
ap-965	176	8	�	�	PROPN
ap-965	176	9	1	1	NUM
ap-965	176	10	1	1	NUM
ap-965	176	11	,	,	PUNCT
ap-965	176	12	,	,	PUNCT
ap-965	176	13	�	�	PROPN
ap-965	176	14	)	)	PUNCT
ap-965	176	15	are	be	AUX
ap-965	176	16	of	of	ADP
ap-965	176	17	local	local	ADJ
ap-965	176	18	type	type	NOUN
ap-965	176	19	.	.	PUNCT
ap-965	177	1	therefore	therefore	ADV
ap-965	177	2	,	,	PUNCT
ap-965	177	3	for	for	ADP
ap-965	177	4	length-3	length-3	NUM
ap-965	177	5	multiplets	multiplet	NOUN
ap-965	177	6	,	,	PUNCT
ap-965	177	7	we	we	PRON
ap-965	177	8	have	have	VERB
ap-965	177	9	�	�	PROPN
ap-965	177	10	�	�	PROPN
ap-965	177	11	n	n	PART
ap-965	177	12	n.	n.	NOUN
ap-965	177	13	this	this	PRON
ap-965	177	14	implies	imply	VERB
ap-965	177	15	,	,	PUNCT
ap-965	177	16	in	in	ADP
ap-965	177	17	particular	particular	ADJ
ap-965	177	18	,	,	PUNCT
ap-965	177	19	that	that	SCONJ
ap-965	177	20	the	the	PRON
ap-965	177	21	(	(	PUNCT
ap-965	177	22	,	,	PUNCT
ap-965	177	23	,	,	PUNCT
ap-965	177	24	)	)	PUNCT
ap-965	177	25	d	d	X
ap-965	177	26	p	p	X
ap-965	177	27	d	d	X
ap-965	177	28	p	p	NOUN
ap-965	177	29	�	�	PROPN
ap-965	177	30	multiplets	multiplet	NOUN
ap-965	177	31	are	be	AUX
ap-965	177	32	non	non	ADJ
ap-965	177	33	-	-	ADJ
ap-965	177	34	equivalent	equivalent	ADJ
ap-965	177	35	irreps	irrep	NOUN
ap-965	177	36	of	of	ADP
ap-965	177	37	the	the	DET
ap-965	177	38	n	n	ADV
ap-965	177	39	-	-	PUNCT
ap-965	177	40	extended	extend	VERB
ap-965	177	41	one	one	NUM
ap-965	177	42	-	-	PUNCT
ap-965	177	43	dimensional	dimensional	ADJ
ap-965	177	44	supersymmetry	supersymmetry	NOUN
ap-965	177	45	.	.	PUNCT
ap-965	178	1	as	as	ADP
ap-965	178	2	concerns	concern	NOUN
ap-965	178	3	length	length	NOUN
ap-965	178	4	l	l	PROPN
ap-965	178	5	�	�	PROPN
ap-965	178	6	4	4	NUM
ap-965	178	7	multiplets	multiplet	NOUN
ap-965	178	8	,	,	PUNCT
ap-965	178	9	the	the	DET
ap-965	178	10	general	general	ADJ
ap-965	178	11	problem	problem	NOUN
ap-965	178	12	of	of	ADP
ap-965	178	13	finding	find	VERB
ap-965	178	14	irreps	irrep	NOUN
ap-965	178	15	was	be	AUX
ap-965	178	16	not	not	PART
ap-965	178	17	addressed	address	VERB
ap-965	178	18	in	in	ADP
ap-965	178	19	[	[	X
ap-965	178	20	13	13	NUM
ap-965	178	21	]	]	PUNCT
ap-965	178	22	.	.	PUNCT
ap-965	179	1	it	it	PRON
ap-965	179	2	was	be	AUX
ap-965	179	3	shown	show	VERB
ap-965	179	4	,	,	PUNCT
ap-965	179	5	as	as	ADP
ap-965	179	6	a	a	DET
ap-965	179	7	specific	specific	ADJ
ap-965	179	8	example	example	NOUN
ap-965	179	9	,	,	PUNCT
ap-965	179	10	that	that	SCONJ
ap-965	179	11	the	the	DET
ap-965	179	12	dressing	dressing	NOUN
ap-965	179	13	of	of	ADP
ap-965	179	14	the	the	DET
ap-965	179	15	length-2	length-2	NOUN
ap-965	179	16	(	(	PUNCT
ap-965	179	17	4	4	NUM
ap-965	179	18	,	,	PUNCT
ap-965	179	19	4	4	NUM
ap-965	179	20	)	)	PUNCT
ap-965	179	21	irrep	irrep	NOUN
ap-965	179	22	of	of	ADP
ap-965	179	23	n	n	X
ap-965	179	24	�	�	PROPN
ap-965	179	25	4	4	NUM
ap-965	179	26	,	,	PUNCT
ap-965	179	27	realized	realize	VERB
ap-965	179	28	through	through	ADP
ap-965	179	29	the	the	DET
ap-965	179	30	series	series	NOUN
ap-965	179	31	of	of	ADP
ap-965	179	32	mappings	mapping	NOUN
ap-965	179	33	(	(	PUNCT
ap-965	179	34	,	,	PUNCT
ap-965	179	35	)	)	PUNCT
ap-965	179	36	(	(	PUNCT
ap-965	179	37	,	,	PUNCT
ap-965	179	38	,	,	PUNCT
ap-965	179	39	)	)	PUNCT
ap-965	179	40	(	(	PUNCT
ap-965	179	41	,	,	PUNCT
ap-965	179	42	,	,	PUNCT
ap-965	179	43	,	,	PUNCT
ap-965	179	44	)	)	PUNCT
ap-965	179	45	4	4	NUM
ap-965	179	46	4	4	NUM
ap-965	179	47	1	1	NUM
ap-965	179	48	4	4	NUM
ap-965	179	49	3	3	NUM
ap-965	179	50	1	1	NUM
ap-965	179	51	3	3	NUM
ap-965	179	52	3	3	NUM
ap-965	179	53	1	1	NUM
ap-965	179	54	�	�	PROPN
ap-965	179	55	�	�	PROPN
ap-965	179	56	,	,	PUNCT
ap-965	179	57	produces	produce	VERB
ap-965	179	58	at	at	ADP
ap-965	179	59	the	the	DET
ap-965	179	60	end	end	NOUN
ap-965	179	61	a	a	DET
ap-965	179	62	length-4	length-4	NUM
ap-965	179	63	multiplet	multiplet	NOUN
ap-965	179	64	(	(	PUNCT
ap-965	179	65	,	,	PUNCT
ap-965	179	66	,	,	PUNCT
ap-965	179	67	,	,	PUNCT
ap-965	179	68	)	)	PUNCT
ap-965	179	69	1	1	NUM
ap-965	179	70	3	3	NUM
ap-965	179	71	3	3	NUM
ap-965	179	72	1	1	NUM
ap-965	179	73	carrying	carry	VERB
ap-965	179	74	only	only	ADV
ap-965	179	75	three	three	NUM
ap-965	179	76	local	local	ADJ
ap-965	179	77	supersymmetries	supersymmetry	NOUN
ap-965	179	78	(	(	PUNCT
ap-965	179	79	�	�	PROPN
ap-965	179	80	�	�	PROPN
ap-965	179	81	n	n	NUM
ap-965	179	82	3	3	NUM
ap-965	179	83	)	)	PUNCT
ap-965	179	84	.	.	PUNCT
ap-965	180	1	since	since	SCONJ
ap-965	180	2	the	the	DET
ap-965	180	3	relation	relation	NOUN
ap-965	180	4	(	(	PUNCT
ap-965	180	5	3.22	3.22	NUM
ap-965	180	6	)	)	PUNCT
ap-965	180	7	is	be	AUX
ap-965	180	8	satisfied	satisfied	ADJ
ap-965	180	9	when	when	SCONJ
ap-965	180	10	setting	set	VERB
ap-965	180	11	the	the	DET
ap-965	180	12	number	number	NOUN
ap-965	180	13	of	of	ADP
ap-965	180	14	extended	extended	ADJ
ap-965	180	15	supersymmetries	supersymmetry	NOUN
ap-965	180	16	acting	act	VERB
ap-965	180	17	on	on	ADP
ap-965	180	18	a	a	DET
ap-965	180	19	multiplet	multiplet	NOUN
ap-965	180	20	equal	equal	ADJ
ap-965	180	21	to	to	ADP
ap-965	180	22	3	3	NUM
ap-965	180	23	and	and	CCONJ
ap-965	180	24	the	the	DET
ap-965	180	25	total	total	ADJ
ap-965	180	26	number	number	NOUN
ap-965	180	27	of	of	ADP
ap-965	180	28	bosonic	bosonic	PROPN
ap-965	180	29	(	(	PUNCT
ap-965	180	30	fermionic	fermionic	NOUN
ap-965	180	31	)	)	PUNCT
ap-965	180	32	fields	field	NOUN
ap-965	180	33	entering	enter	VERB
ap-965	180	34	a	a	DET
ap-965	180	35	multiplet	multiplet	NOUN
ap-965	180	36	equal	equal	ADJ
ap-965	180	37	to	to	ADP
ap-965	180	38	4	4	NUM
ap-965	180	39	,	,	PUNCT
ap-965	180	40	as	as	ADP
ap-965	180	41	a	a	DET
ap-965	180	42	consequence	consequence	NOUN
ap-965	180	43	,	,	PUNCT
ap-965	180	44	the	the	PRON
ap-965	180	45	(	(	PUNCT
ap-965	180	46	,	,	PUNCT
ap-965	180	47	,	,	PUNCT
ap-965	180	48	,	,	PUNCT
ap-965	180	49	)	)	PUNCT
ap-965	180	50	1	1	NUM
ap-965	180	51	3	3	NUM
ap-965	180	52	3	3	NUM
ap-965	180	53	1	1	NUM
ap-965	180	54	multiplet	multiplet	NOUN
ap-965	180	55	corresponds	correspond	VERB
ap-965	180	56	to	to	ADP
ap-965	180	57	an	an	DET
ap-965	180	58	irreducible	irreducible	ADJ
ap-965	180	59	representation	representation	NOUN
ap-965	180	60	of	of	ADP
ap-965	180	61	the	the	DET
ap-965	180	62	n	n	PROPN
ap-965	180	63	�	�	PROPN
ap-965	180	64	3	3	NUM
ap-965	180	65	extended	extended	ADJ
ap-965	180	66	supersymmetry	supersymmetry	NOUN
ap-965	180	67	.	.	PUNCT
ap-965	181	1	based	base	VERB
ap-965	181	2	on	on	ADP
ap-965	181	3	an	an	DET
ap-965	181	4	algorithmic	algorithmic	ADJ
ap-965	181	5	construction	construction	NOUN
ap-965	181	6	of	of	ADP
ap-965	181	7	representatives	representative	NOUN
ap-965	181	8	of	of	ADP
ap-965	181	9	clifford	clifford	PROPN
ap-965	181	10	irreps	irreps	PROPN
ap-965	181	11	,	,	PUNCT
ap-965	181	12	we	we	PRON
ap-965	181	13	present	present	VERB
ap-965	181	14	an	an	DET
ap-965	181	15	iterative	iterative	NOUN
ap-965	181	16	method	method	NOUN
ap-965	181	17	for	for	ADP
ap-965	181	18	classifying	classify	VERB
ap-965	181	19	all	all	DET
ap-965	181	20	irreducible	irreducible	ADJ
ap-965	181	21	representations	representation	NOUN
ap-965	181	22	of	of	ADP
ap-965	181	23	higher	high	ADJ
ap-965	181	24	length	length	NOUN
ap-965	181	25	for	for	ADP
ap-965	181	26	arbitrary	arbitrary	ADJ
ap-965	181	27	n	n	CCONJ
ap-965	181	28	values	value	NOUN
ap-965	181	29	of	of	ADP
ap-965	181	30	the	the	DET
ap-965	181	31	extended	extended	ADJ
ap-965	181	32	supersymmetry	supersymmetry	NOUN
ap-965	181	33	.	.	PUNCT
ap-965	182	1	4	4	NUM
ap-965	182	2	clifford	clifford	PROPN
ap-965	182	3	algebras	algebra	NOUN
ap-965	182	4	and	and	CCONJ
ap-965	182	5	division	division	NOUN
ap-965	182	6	algebras	algebra	NOUN
ap-965	182	7	due	due	ADP
ap-965	182	8	to	to	ADP
ap-965	182	9	the	the	DET
ap-965	182	10	relation	relation	NOUN
ap-965	182	11	between	between	ADP
ap-965	182	12	supersymmetric	supersymmetric	ADJ
ap-965	182	13	quantum	quantum	ADJ
ap-965	182	14	mechanics	mechanic	NOUN
ap-965	182	15	and	and	CCONJ
ap-965	182	16	clifford	clifford	PROPN
ap-965	182	17	algebras	algebras	PROPN
ap-965	182	18	,	,	PUNCT
ap-965	182	19	we	we	PRON
ap-965	182	20	present	present	VERB
ap-965	182	21	here	here	ADV
ap-965	182	22	a	a	DET
ap-965	182	23	classification	classification	NOUN
ap-965	182	24	of	of	ADP
ap-965	182	25	the	the	DET
ap-965	182	26	irreducible	irreducible	ADJ
ap-965	182	27	representations	representation	NOUN
ap-965	182	28	of	of	ADP
ap-965	182	29	clifford	clifford	PROPN
ap-965	182	30	algebras	algebras	PROPN
ap-965	182	31	in	in	ADP
ap-965	182	32	terms	term	NOUN
ap-965	182	33	of	of	ADP
ap-965	182	34	an	an	DET
ap-965	182	35	algorithm	algorithm	NOUN
ap-965	182	36	which	which	PRON
ap-965	182	37	allows	allow	VERB
ap-965	182	38	us	we	PRON
ap-965	182	39	to	to	PART
ap-965	182	40	single	single	VERB
ap-965	182	41	out	out	ADP
ap-965	182	42	,	,	PUNCT
ap-965	182	43	in	in	ADP
ap-965	182	44	arbitrary	arbitrary	ADJ
ap-965	182	45	signature	signature	NOUN
ap-965	182	46	space	space	NOUN
ap-965	182	47	-	-	PUNCT
ap-965	182	48	times	time	NOUN
ap-965	182	49	,	,	PUNCT
ap-965	182	50	a	a	DET
ap-965	182	51	representative	representative	NOUN
ap-965	182	52	in	in	ADP
ap-965	182	53	each	each	DET
ap-965	182	54	irreducible	irreducible	ADJ
ap-965	182	55	class	class	NOUN
ap-965	182	56	of	of	ADP
ap-965	182	57	representations	representation	NOUN
ap-965	182	58	of	of	ADP
ap-965	182	59	clifford	clifford	PROPN
ap-965	182	60	’s	’s	PART
ap-965	182	61	gamma	gamma	PROPN
ap-965	182	62	matrices	matrix	NOUN
ap-965	182	63	.	.	PUNCT
ap-965	183	1	the	the	DET
ap-965	183	2	class	class	NOUN
ap-965	183	3	of	of	ADP
ap-965	183	4	irreducible	irreducible	ADJ
ap-965	183	5	representations	representation	NOUN
ap-965	183	6	is	be	AUX
ap-965	183	7	unique	unique	ADJ
ap-965	183	8	apart	apart	ADV
ap-965	183	9	from	from	ADP
ap-965	183	10	special	special	ADJ
ap-965	183	11	signatures	signature	NOUN
ap-965	183	12	,	,	PUNCT
ap-965	183	13	where	where	SCONJ
ap-965	183	14	two	two	NUM
ap-965	183	15	non	non	ADJ
ap-965	183	16	-	-	ADJ
ap-965	183	17	equivalent	equivalent	ADJ
ap-965	183	18	irreducible	irreducible	ADJ
ap-965	183	19	representations	representation	NOUN
ap-965	183	20	are	be	AUX
ap-965	183	21	linked	link	VERB
ap-965	183	22	by	by	ADP
ap-965	183	23	sign	sign	NOUN
ap-965	183	24	flipping	flip	VERB
ap-965	183	25	(	(	PUNCT
ap-965	183	26	�	�	PROPN
ap-965	183	27	�	�	PROPN
ap-965	183	28	�	�	PROPN
ap-965	183	29	�	�	PROPN
ap-965	183	30	�	�	PROPN
ap-965	183	31	�	�	PROPN
ap-965	183	32	)	)	PUNCT
ap-965	183	33	.	.	PUNCT
ap-965	184	1	the	the	DET
ap-965	184	2	construction	construction	NOUN
ap-965	184	3	goes	go	VERB
ap-965	184	4	as	as	SCONJ
ap-965	184	5	follows	follow	VERB
ap-965	184	6	.	.	PUNCT
ap-965	185	1	first	first	ADV
ap-965	185	2	,	,	PUNCT
ap-965	185	3	we	we	PRON
ap-965	185	4	prove	prove	VERB
ap-965	185	5	that	that	SCONJ
ap-965	185	6	starting	start	VERB
ap-965	185	7	from	from	ADP
ap-965	185	8	a	a	DET
ap-965	185	9	given	give	VERB
ap-965	185	10	spacetime	spacetime	NOUN
ap-965	185	11	-	-	PUNCT
ap-965	185	12	dimensional	dimensional	ADJ
ap-965	185	13	representation	representation	NOUN
ap-965	185	14	of	of	ADP
ap-965	185	15	clifford	clifford	PROPN
ap-965	185	16	’s	’s	PART
ap-965	185	17	gamma	gamma	PROPN
ap-965	185	18	matrices	matrix	NOUN
ap-965	185	19	,	,	PUNCT
ap-965	185	20	we	we	PRON
ap-965	185	21	can	can	AUX
ap-965	185	22	recursively	recursively	ADV
ap-965	185	23	construct	construct	VERB
ap-965	185	24	d	d	PROPN
ap-965	185	25	�	�	PROPN
ap-965	185	26	2	2	NUM
ap-965	185	27	spacetime	spacetime	NOUN
ap-965	185	28	dimensional	dimensional	ADJ
ap-965	185	29	clifford	clifford	PROPN
ap-965	185	30	gamma	gamma	NOUN
ap-965	185	31	matrices	matrix	NOUN
ap-965	185	32	with	with	ADP
ap-965	185	33	the	the	DET
ap-965	185	34	help	help	NOUN
ap-965	185	35	of	of	ADP
ap-965	185	36	two	two	NUM
ap-965	185	37	recursive	recursive	ADJ
ap-965	185	38	algorithms	algorithm	NOUN
ap-965	185	39	.	.	PUNCT
ap-965	186	1	indeed	indeed	ADV
ap-965	186	2	,	,	PUNCT
ap-965	186	3	it	it	PRON
ap-965	186	4	is	be	AUX
ap-965	186	5	a	a	DET
ap-965	186	6	simple	simple	ADJ
ap-965	186	7	exercise	exercise	NOUN
ap-965	186	8	to	to	PART
ap-965	186	9	verify	verify	VERB
ap-965	186	10	that	that	SCONJ
ap-965	186	11	if	if	SCONJ
ap-965	186	12	�	�	PROPN
ap-965	186	13	i	i	PRON
ap-965	186	14	’s	’s	PART
ap-965	186	15	denotes	denote	VERB
ap-965	186	16	the	the	DET
ap-965	186	17	d	d	ADJ
ap-965	186	18	-	-	ADJ
ap-965	186	19	dimensional	dimensional	ADJ
ap-965	186	20	gamma	gamma	NOUN
ap-965	186	21	matrices	matrix	NOUN
ap-965	186	22	of	of	ADP
ap-965	186	23	a	a	DET
ap-965	186	24	d	d	X
ap-965	186	25	p	p	X
ap-965	186	26	q	q	PROPN
ap-965	186	27	�	�	PROPN
ap-965	186	28	�	�	PROPN
ap-965	186	29	spacetime	spacetime	NOUN
ap-965	186	30	with	with	ADP
ap-965	186	31	(	(	PUNCT
ap-965	186	32	p	p	X
ap-965	186	33	,	,	PUNCT
ap-965	186	34	q	q	ADJ
ap-965	186	35	)	)	PUNCT
ap-965	186	36	signature	signature	NOUN
ap-965	186	37	(	(	PUNCT
ap-965	186	38	namely	namely	ADV
ap-965	186	39	,	,	PUNCT
ap-965	186	40	providing	provide	VERB
ap-965	186	41	a	a	DET
ap-965	186	42	representation	representation	NOUN
ap-965	186	43	for	for	ADP
ap-965	186	44	the	the	DET
ap-965	186	45	c(p	c(p	NOUN
ap-965	186	46	,	,	PUNCT
ap-965	186	47	q	q	NOUN
ap-965	186	48	)	)	PUNCT
ap-965	186	49	clifford	clifford	PROPN
ap-965	186	50	algebra	algebra	PROPN
ap-965	186	51	)	)	PUNCT
ap-965	186	52	then	then	ADV
ap-965	186	53	2d	2d	NOUN
ap-965	186	54	-	-	PUNCT
ap-965	186	55	dimensional	dimensional	ADJ
ap-965	186	56	d	d	X
ap-965	186	57	�	�	PROPN
ap-965	186	58	2	2	NUM
ap-965	186	59	gamma	gamma	NOUN
ap-965	186	60	matrices	matrix	NOUN
ap-965	186	61	(	(	PUNCT
ap-965	186	62	denoted	denote	VERB
ap-965	186	63	as	as	ADP
ap-965	186	64	�	�	PROPN
ap-965	186	65	j	j	PROPN
ap-965	186	66	)	)	PUNCT
ap-965	186	67	of	of	ADP
ap-965	186	68	a	a	DET
ap-965	186	69	d	d	PROPN
ap-965	186	70	�	�	PROPN
ap-965	186	71	2	2	NUM
ap-965	186	72	spacetime	spacetime	NOUN
ap-965	186	73	are	be	AUX
ap-965	186	74	produced	produce	VERB
ap-965	186	75	according	accord	VERB
ap-965	186	76	to	to	ADP
ap-965	186	77	either	either	CCONJ
ap-965	186	78	©	©	PROPN
ap-965	186	79	czech	czech	PROPN
ap-965	186	80	technical	technical	PROPN
ap-965	186	81	university	university	PROPN
ap-965	186	82	publishing	publishing	NOUN
ap-965	186	83	house	house	NOUN
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ap-965	186	85	63	63	NUM
ap-965	186	86	acta	acta	PROPN
ap-965	186	87	polytechnica	polytechnica	PROPN
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ap-965	187	1	48	48	NUM
ap-965	187	2	no	no	NOUN
ap-965	187	3	.	.	PUNCT
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ap-965	188	2	1	1	NUM
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ap-965	188	4	2	2	NUM
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ap-965	188	6	4	4	NUM
ap-965	188	7	*	*	SYM
ap-965	188	8	8	8	NUM
ap-965	188	9	*	*	SYM
ap-965	188	10	16	16	NUM
ap-965	188	11	*	*	SYM
ap-965	188	12	32	32	NUM
ap-965	188	13	*	*	SYM
ap-965	188	14	64	64	NUM
ap-965	188	15	*	*	SYM
ap-965	188	16	128	128	NUM
ap-965	188	17	*	*	SYM
ap-965	188	18	256	256	NUM
ap-965	188	19	*	*	SYM
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ap-965	188	21	1	1	NUM
ap-965	188	22	,	,	PUNCT
ap-965	188	23	0	0	NUM
ap-965	188	24	)	)	PUNCT
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ap-965	188	29	1	1	NUM
ap-965	188	30	)	)	PUNCT
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ap-965	188	32	(	(	PUNCT
ap-965	188	33	3	3	NUM
ap-965	188	34	,	,	PUNCT
ap-965	188	35	2	2	NUM
ap-965	188	36	)	)	PUNCT
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ap-965	188	39	4	4	NUM
ap-965	188	40	,	,	PUNCT
ap-965	188	41	3	3	X
ap-965	188	42	)	)	PUNCT
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ap-965	188	44	(	(	PUNCT
ap-965	188	45	5	5	NUM
ap-965	188	46	,	,	PUNCT
ap-965	188	47	4	4	NUM
ap-965	188	48	)	)	PUNCT
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ap-965	188	50	(	(	PUNCT
ap-965	188	51	6	6	NUM
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ap-965	188	53	5	5	NUM
ap-965	188	54	)	)	PUNCT
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ap-965	188	56	(	(	PUNCT
ap-965	188	57	7	7	NUM
ap-965	188	58	,	,	PUNCT
ap-965	188	59	6	6	NUM
ap-965	188	60	)	)	PUNCT
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ap-965	188	62	(	(	PUNCT
ap-965	188	63	8	8	NUM
ap-965	188	64	,	,	PUNCT
ap-965	188	65	7	7	NUM
ap-965	188	66	)	)	PUNCT
ap-965	188	67	�	�	NOUN
ap-965	188	68	(	(	PUNCT
ap-965	188	69	9	9	NUM
ap-965	188	70	,	,	PUNCT
ap-965	188	71	8)	8)	NUM
ap-965	188	72	�	�	PROPN
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ap-965	188	74	(	(	PUNCT
ap-965	188	75	1	1	NUM
ap-965	188	76	,	,	PUNCT
ap-965	188	77	4	4	NUM
ap-965	188	78	)	)	PUNCT
ap-965	188	79	�	�	PROPN
ap-965	188	80	(	(	PUNCT
ap-965	188	81	2	2	NUM
ap-965	188	82	,	,	PUNCT
ap-965	188	83	5	5	NUM
ap-965	188	84	)	)	PUNCT
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ap-965	188	86	(	(	PUNCT
ap-965	188	87	3	3	NUM
ap-965	188	88	,	,	PUNCT
ap-965	188	89	6	6	NUM
ap-965	188	90	)	)	PUNCT
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ap-965	188	92	(	(	PUNCT
ap-965	188	93	4	4	NUM
ap-965	188	94	,	,	PUNCT
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ap-965	188	96	)	)	PUNCT
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ap-965	188	101	8)	8)	NUM
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ap-965	188	104	6	6	NUM
ap-965	188	105	,	,	PUNCT
ap-965	188	106	9	9	NUM
ap-965	188	107	)	)	PUNCT
ap-965	188	108	�	�	PROPN
ap-965	188	109	(	(	PUNCT
ap-965	188	110	0,3	0,3	NUM
ap-965	188	111	)	)	PUNCT
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ap-965	188	113	(	(	PUNCT
ap-965	188	114	5,0	5,0	NUM
ap-965	188	115	)	)	PUNCT
ap-965	188	116	�	�	NOUN
ap-965	188	117	(	(	PUNCT
ap-965	188	118	6	6	NUM
ap-965	188	119	,	,	PUNCT
ap-965	188	120	1	1	NUM
ap-965	188	121	)	)	PUNCT
ap-965	188	122	�	�	PROPN
ap-965	188	123	(	(	PUNCT
ap-965	188	124	7	7	NUM
ap-965	188	125	,	,	PUNCT
ap-965	188	126	2	2	NUM
ap-965	188	127	)	)	PUNCT
ap-965	188	128	�	�	PROPN
ap-965	188	129	(	(	PUNCT
ap-965	188	130	8	8	NUM
ap-965	188	131	,	,	PUNCT
ap-965	188	132	3	3	X
ap-965	188	133	)	)	PUNCT
ap-965	188	134	�	�	PROPN
ap-965	188	135	(	(	PUNCT
ap-965	188	136	9	9	NUM
ap-965	188	137	,	,	PUNCT
ap-965	188	138	4	4	NUM
ap-965	188	139	)	)	PUNCT
ap-965	188	140	�	�	PROPN
ap-965	188	141	(	(	PUNCT
ap-965	188	142	10	10	NUM
ap-965	188	143	,	,	PUNCT
ap-965	188	144	5	5	NUM
ap-965	188	145	)	)	PUNCT
ap-965	188	146	�	�	PROPN
ap-965	188	147	�	�	PROPN
ap-965	188	148	(	(	PUNCT
ap-965	188	149	1	1	NUM
ap-965	188	150	,	,	PUNCT
ap-965	188	151	8)	8)	NUM
ap-965	188	152	�	�	PROPN
ap-965	188	153	(	(	PUNCT
ap-965	188	154	2	2	NUM
ap-965	188	155	,	,	PUNCT
ap-965	188	156	9	9	NUM
ap-965	188	157	)	)	PUNCT
ap-965	188	158	�	�	PROPN
ap-965	188	159	(	(	PUNCT
ap-965	188	160	3	3	NUM
ap-965	188	161	,	,	PUNCT
ap-965	188	162	10	10	NUM
ap-965	188	163	)	)	PUNCT
ap-965	188	164	�	�	PROPN
ap-965	188	165	(	(	PUNCT
ap-965	188	166	4	4	NUM
ap-965	188	167	,	,	PUNCT
ap-965	188	168	11	11	NUM
ap-965	188	169	)	)	PUNCT
ap-965	188	170	�	�	PROPN
ap-965	188	171	(	(	PUNCT
ap-965	188	172	5	5	NUM
ap-965	188	173	,	,	PUNCT
ap-965	188	174	12	12	NUM
ap-965	188	175	)	)	PUNCT
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ap-965	188	177	(	(	PUNCT
ap-965	188	178	0,7	0,7	NUM
ap-965	188	179	)	)	PUNCT
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ap-965	188	181	(	(	PUNCT
ap-965	188	182	9	9	NUM
ap-965	188	183	,	,	PUNCT
ap-965	188	184	0	0	NUM
ap-965	188	185	)	)	PUNCT
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ap-965	188	188	10	10	NUM
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ap-965	188	191	)	)	PUNCT
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ap-965	188	193	(	(	PUNCT
ap-965	188	194	11	11	NUM
ap-965	188	195	,	,	PUNCT
ap-965	188	196	2	2	NUM
ap-965	188	197	)	)	PUNCT
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ap-965	188	200	12	12	NUM
ap-965	188	201	,	,	PUNCT
ap-965	188	202	3	3	NUM
ap-965	188	203	)	)	PUNCT
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ap-965	188	205	(	(	PUNCT
ap-965	188	206	13	13	NUM
ap-965	188	207	,	,	PUNCT
ap-965	188	208	1	1	NUM
ap-965	188	209	)	)	PUNCT
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ap-965	188	212	(	(	PUNCT
ap-965	188	213	1	1	NUM
ap-965	188	214	,	,	PUNCT
ap-965	188	215	12	12	NUM
ap-965	188	216	)	)	PUNCT
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ap-965	188	218	(	(	PUNCT
ap-965	188	219	2	2	NUM
ap-965	188	220	,	,	PUNCT
ap-965	188	221	13	13	NUM
ap-965	188	222	)	)	PUNCT
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ap-965	188	224	(	(	PUNCT
ap-965	188	225	0	0	NUM
ap-965	188	226	,	,	PUNCT
ap-965	188	227	11	11	NUM
ap-965	188	228	)	)	PUNCT
ap-965	188	229	�	�	PROPN
ap-965	188	230	(	(	PUNCT
ap-965	188	231	13	13	NUM
ap-965	188	232	,	,	PUNCT
ap-965	188	233	0	0	NUM
ap-965	188	234	)	)	PUNCT
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ap-965	188	236	(	(	PUNCT
ap-965	188	237	14	14	NUM
ap-965	188	238	,	,	PUNCT
ap-965	188	239	1	1	NUM
ap-965	188	240	)	)	PUNCT
ap-965	188	241	�	�	PROPN
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ap-965	188	243	(	(	PUNCT
ap-965	188	244	1	1	NUM
ap-965	188	245	,	,	PUNCT
ap-965	188	246	16	16	NUM
ap-965	188	247	)	)	PUNCT
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ap-965	188	249	(	(	PUNCT
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ap-965	188	251	,	,	PUNCT
ap-965	188	252	15	15	NUM
ap-965	188	253	)	)	PUNCT
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ap-965	188	255	(	(	PUNCT
ap-965	188	256	17	17	NUM
ap-965	188	257	,	,	PUNCT
ap-965	188	258	0	0	NUM
ap-965	188	259	)	)	PUNCT
ap-965	188	260	�	�	PROPN
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ap-965	188	262	1	1	NUM
ap-965	188	263	:	:	PUNCT
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ap-965	188	265	with	with	ADP
ap-965	188	266	the	the	DET
ap-965	188	267	maximal	maximal	ADJ
ap-965	188	268	clifford	clifford	PROPN
ap-965	188	269	algebras	algebras	PROPN
ap-965	188	270	(	(	PUNCT
ap-965	188	271	up	up	ADP
ap-965	188	272	to	to	PART
ap-965	188	273	d	d	PROPN
ap-965	188	274	�	�	PROPN
ap-965	188	275	256	256	NUM
ap-965	188	276	)	)	PUNCT
ap-965	188	277	(	(	PUNCT
ap-965	188	278	4.33	4.33	NUM
ap-965	188	279	)	)	PUNCT
ap-965	188	280	�	�	PROPN
ap-965	189	1	j	j	PROPN
ap-965	190	1	i	i	PRON
ap-965	190	2	i	i	VERB
ap-965	191	1	d	d	NOUN
ap-965	192	1	d	d	PROPN
ap-965	193	1	d	d	PROPN
ap-965	194	1	d	d	X
ap-965	194	2	p	p	X
ap-965	194	3	q	q	PROPN
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ap-965	194	5	�	�	PROPN
ap-965	194	6	�	�	PROPN
ap-965	194	7	�	�	PROPN
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ap-965	194	9	�	�	PROPN
ap-965	194	10	�	�	PROPN
ap-965	194	11	�	�	PROPN
ap-965	194	12	�	�	PROPN
ap-965	194	13	�	�	PROPN
ap-965	194	14	�	�	PROPN
ap-965	194	15	�	�	PROPN
ap-965	194	16	�	�	PROPN
ap-965	194	17	�	�	PROPN
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ap-965	194	22	1	1	NUM
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ap-965	194	27	0	0	NUM
ap-965	194	28	1	1	NUM
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ap-965	194	31	,	,	PUNCT
ap-965	194	32	,	,	PUNCT
ap-965	194	33	(	(	PUNCT
ap-965	194	34	,	,	PUNCT
ap-965	194	35	)	)	PUNCT
ap-965	194	36	(	(	PUNCT
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ap-965	194	38	p	p	NOUN
ap-965	194	39	q	q	PROPN
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ap-965	194	42	1	1	NUM
ap-965	194	43	1	1	NUM
ap-965	194	44	,	,	PUNCT
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ap-965	194	46	.	.	PUNCT
ap-965	195	1	(	(	PUNCT
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ap-965	195	3	)	)	PUNCT
ap-965	195	4	or	or	CCONJ
ap-965	195	5	�	�	PROPN
ap-965	196	1	j	j	NOUN
ap-965	197	1	i	i	PRON
ap-965	197	2	i	i	VERB
ap-965	198	1	d	d	NOUN
ap-965	199	1	d	d	PROPN
ap-965	200	1	d	d	PROPN
ap-965	201	1	d	d	X
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ap-965	201	5	�	�	PROPN
ap-965	201	6	�	�	PROPN
ap-965	201	7	�	�	PROPN
ap-965	201	8	�	�	PROPN
ap-965	201	9	�	�	PROPN
ap-965	201	10	�	�	PROPN
ap-965	201	11	�	�	PROPN
ap-965	201	12	�	�	PROPN
ap-965	201	13	�	�	PROPN
ap-965	201	14	�	�	PROPN
ap-965	201	15	�	�	PROPN
ap-965	201	16	�	�	PROPN
ap-965	201	17	�	�	PROPN
ap-965	201	18	�	�	PROPN
ap-965	201	19	0	0	NUM
ap-965	201	20	0	0	NUM
ap-965	201	21	0	0	NUM
ap-965	201	22	1	1	NUM
ap-965	201	23	1	1	NUM
ap-965	201	24	0	0	NUM
ap-965	201	25	1	1	NUM
ap-965	201	26	0	0	NUM
ap-965	201	27	0	0	NUM
ap-965	201	28	1	1	NUM
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ap-965	201	31	,	,	PUNCT
ap-965	201	32	,	,	PUNCT
ap-965	201	33	(	(	PUNCT
ap-965	201	34	,	,	PUNCT
ap-965	201	35	)	)	PUNCT
ap-965	201	36	(	(	PUNCT
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ap-965	201	38	q	q	PROPN
ap-965	201	39	p	p	X
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ap-965	201	42	,	,	PUNCT
ap-965	201	43	)	)	PUNCT
ap-965	201	44	.	.	PUNCT
ap-965	202	1	(	(	PUNCT
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ap-965	202	3	)	)	PUNCT
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ap-965	202	7	clear	clear	ADJ
ap-965	202	8	,	,	PUNCT
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ap-965	202	10	,	,	PUNCT
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ap-965	202	12	the	the	DET
ap-965	202	13	two	two	NUM
ap-965	202	14	-	-	PUNCT
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ap-965	202	16	real	real	ADV
ap-965	202	17	-	-	PUNCT
ap-965	202	18	valued	value	VERB
ap-965	202	19	pauli	pauli	PROPN
ap-965	202	20	matrices	matrice	VERB
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ap-965	202	24	�	�	PROPN
ap-965	202	25	1	1	NUM
ap-965	202	26	,	,	PUNCT
ap-965	202	27	�	�	PROPN
ap-965	202	28	2	2	NUM
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ap-965	202	30	realize	realize	VERB
ap-965	202	31	the	the	DET
ap-965	202	32	clifford	clifford	PROPN
ap-965	202	33	algebra	algebra	PROPN
ap-965	202	34	c(2	c(2	PROPN
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ap-965	202	36	1	1	NUM
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ap-965	202	39	obtained	obtain	VERB
ap-965	202	40	by	by	ADP
ap-965	202	41	applying	apply	VERB
ap-965	202	42	either	either	CCONJ
ap-965	202	43	(	(	PUNCT
ap-965	202	44	4.30	4.30	NUM
ap-965	202	45	)	)	PUNCT
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ap-965	202	47	(	(	PUNCT
ap-965	202	48	4.31	4.31	NUM
ap-965	202	49	)	)	PUNCT
ap-965	202	50	to	to	ADP
ap-965	202	51	the	the	DET
ap-965	202	52	number	number	NOUN
ap-965	202	53	1	1	NUM
ap-965	202	54	,	,	PUNCT
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ap-965	202	58	-	-	PUNCT
ap-965	202	59	dimensional	dimensional	ADJ
ap-965	202	60	realization	realization	NOUN
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ap-965	202	62	c(1	c(1	PROPN
ap-965	202	63	,	,	PUNCT
ap-965	202	64	0	0	NUM
ap-965	202	65	)	)	PUNCT
ap-965	202	66	.	.	PUNCT
ap-965	203	1	we	we	PRON
ap-965	203	2	have	have	VERB
ap-965	203	3	indeed	indeed	ADV
ap-965	203	4	�	�	PROPN
ap-965	203	5	�	�	PROPN
ap-965	203	6	�	�	PROPN
ap-965	203	7	a	a	DET
ap-965	203	8	�	�	PROPN
ap-965	203	9	�	�	PROPN
ap-965	203	10	�	�	PROPN
ap-965	203	11	�	�	PROPN
ap-965	203	12	�	�	PROPN
ap-965	203	13	�	�	PROPN
ap-965	203	14	�	�	PROPN
ap-965	203	15	�	�	PROPN
ap-965	203	16	�	�	PROPN
ap-965	203	17	�	�	PROPN
ap-965	203	18	�	�	PROPN
ap-965	203	19	�	�	PROPN
ap-965	203	20	�	�	PROPN
ap-965	203	21	�	�	PROPN
ap-965	203	22	�	�	PROPN
ap-965	203	23	�	�	PROPN
ap-965	203	24	�	�	PROPN
ap-965	203	25	0	0	NUM
ap-965	203	26	1	1	NUM
ap-965	203	27	1	1	NUM
ap-965	203	28	0	0	NUM
ap-965	203	29	0	0	NUM
ap-965	203	30	1	1	NUM
ap-965	203	31	1	1	NUM
ap-965	203	32	0	0	NUM
ap-965	203	33	1	1	NUM
ap-965	203	34	0	0	NUM
ap-965	203	35	0	0	NUM
ap-965	203	36	11	11	NUM
ap-965	203	37	2	2	NUM
ap-965	203	38	,	,	PUNCT
ap-965	203	39	,	,	PUNCT
ap-965	203	40	.	.	PUNCT
ap-965	204	1	(	(	PUNCT
ap-965	204	2	4.32	4.32	NUM
ap-965	204	3	)	)	PUNCT
ap-965	204	4	all	all	DET
ap-965	204	5	clifford	clifford	PROPN
ap-965	204	6	algebras	algebras	PROPN
ap-965	204	7	are	be	AUX
ap-965	204	8	obtained	obtain	VERB
ap-965	204	9	by	by	ADP
ap-965	204	10	recursively	recursively	ADV
ap-965	204	11	applying	apply	VERB
ap-965	204	12	algorithms	algorithm	NOUN
ap-965	204	13	(	(	PUNCT
ap-965	204	14	4.30	4.30	NUM
ap-965	204	15	)	)	PUNCT
ap-965	204	16	and	and	CCONJ
ap-965	204	17	(	(	PUNCT
ap-965	204	18	4.31	4.31	NUM
ap-965	204	19	)	)	PUNCT
ap-965	204	20	to	to	ADP
ap-965	204	21	the	the	DET
ap-965	204	22	clifford	clifford	PROPN
ap-965	204	23	algebra	algebra	PROPN
ap-965	204	24	c(1	c(1	PROPN
ap-965	204	25	,	,	PUNCT
ap-965	204	26	0	0	NUM
ap-965	204	27	)	)	PUNCT
ap-965	204	28	(	(	PUNCT
ap-965	204	29	)	)	PUNCT
ap-965	204	30	�	�	PROPN
ap-965	204	31	1	1	NUM
ap-965	204	32	and	and	CCONJ
ap-965	204	33	the	the	DET
ap-965	204	34	clifford	clifford	PROPN
ap-965	204	35	algebras	algebras	PROPN
ap-965	204	36	of	of	ADP
ap-965	204	37	the	the	DET
ap-965	204	38	seriesc	seriesc	PROPN
ap-965	204	39	m	m	PROPN
ap-965	204	40	(	(	PUNCT
ap-965	204	41	,	,	PUNCT
ap-965	204	42	)	)	PUNCT
ap-965	204	43	0	0	NUM
ap-965	204	44	3	3	NUM
ap-965	204	45	4	4	NUM
ap-965	204	46	�	�	PROPN
ap-965	204	47	(	(	PUNCT
ap-965	204	48	with	with	ADP
ap-965	204	49	m	m	PROPN
ap-965	204	50	non	non	ADJ
ap-965	204	51	-	-	ADJ
ap-965	204	52	negative	negative	ADJ
ap-965	204	53	integer	integer	NOUN
ap-965	204	54	)	)	PUNCT
ap-965	204	55	,	,	PUNCT
ap-965	204	56	which	which	PRON
ap-965	204	57	must	must	AUX
ap-965	204	58	be	be	AUX
ap-965	204	59	previously	previously	ADV
ap-965	204	60	known	know	VERB
ap-965	204	61	.	.	PUNCT
ap-965	205	1	this	this	PRON
ap-965	205	2	is	be	AUX
ap-965	205	3	in	in	ADP
ap-965	205	4	accordance	accordance	NOUN
ap-965	205	5	with	with	ADP
ap-965	205	6	the	the	DET
ap-965	205	7	scheme	scheme	NOUN
ap-965	205	8	illustrated	illustrate	VERB
ap-965	205	9	in	in	ADP
ap-965	205	10	the	the	DET
ap-965	205	11	table1	table1	PROPN
ap-965	205	12	.	.	PUNCT
ap-965	206	1	concerning	concern	VERB
ap-965	206	2	the	the	DET
ap-965	206	3	previous	previous	ADJ
ap-965	206	4	table	table	NOUN
ap-965	206	5	,	,	PUNCT
ap-965	206	6	some	some	DET
ap-965	206	7	remarks	remark	NOUN
ap-965	206	8	are	be	AUX
ap-965	206	9	in	in	ADP
ap-965	206	10	order	order	NOUN
ap-965	206	11	.	.	PUNCT
ap-965	207	1	the	the	DET
ap-965	207	2	columns	column	NOUN
ap-965	207	3	are	be	AUX
ap-965	207	4	labeled	label	VERB
ap-965	207	5	by	by	ADP
ap-965	207	6	the	the	DET
ap-965	207	7	matrix	matrix	NOUN
ap-965	207	8	size	size	NOUN
ap-965	207	9	d	d	PROPN
ap-965	207	10	of	of	ADP
ap-965	207	11	the	the	DET
ap-965	207	12	maximal	maximal	ADJ
ap-965	207	13	clifford	clifford	PROPN
ap-965	207	14	algebras	algebras	PROPN
ap-965	207	15	.	.	PUNCT
ap-965	208	1	their	their	PRON
ap-965	208	2	signature	signature	NOUN
ap-965	208	3	is	be	AUX
ap-965	208	4	denoted	denote	VERB
ap-965	208	5	by	by	ADP
ap-965	208	6	the	the	DET
ap-965	208	7	(	(	PUNCT
ap-965	208	8	p	p	X
ap-965	208	9	,	,	PUNCT
ap-965	208	10	q	q	NOUN
ap-965	208	11	)	)	PUNCT
ap-965	208	12	pairs	pair	NOUN
ap-965	208	13	.	.	PUNCT
ap-965	209	1	furthermore	furthermore	ADV
ap-965	209	2	,	,	PUNCT
ap-965	209	3	the	the	DET
ap-965	209	4	underlined	underline	VERB
ap-965	209	5	clifford	clifford	PROPN
ap-965	209	6	algebras	algebras	PROPN
ap-965	209	7	in	in	ADP
ap-965	209	8	the	the	DET
ap-965	209	9	table	table	NOUN
ap-965	209	10	can	can	AUX
ap-965	209	11	be	be	AUX
ap-965	209	12	named	name	VERB
ap-965	209	13	as	as	ADP
ap-965	209	14	“	"	PUNCT
ap-965	209	15	primitive	primitive	ADJ
ap-965	209	16	maximal	maximal	ADJ
ap-965	209	17	clifford	clifford	PROPN
ap-965	209	18	algebras	algebras	X
ap-965	209	19	”	"	PUNCT
ap-965	209	20	.	.	PUNCT
ap-965	210	1	the	the	DET
ap-965	210	2	remaining	remain	VERB
ap-965	210	3	maximal	maximal	ADJ
ap-965	210	4	clifford	clifford	PROPN
ap-965	210	5	algebras	algebras	PROPN
ap-965	210	6	appearing	appear	VERB
ap-965	210	7	in	in	ADP
ap-965	210	8	the	the	DET
ap-965	210	9	table	table	NOUN
ap-965	210	10	are	be	AUX
ap-965	210	11	“	"	PUNCT
ap-965	210	12	maximal	maximal	ADJ
ap-965	210	13	descendant	descendant	ADJ
ap-965	210	14	clifford	clifford	PROPN
ap-965	210	15	algebras	algebras	PROPN
ap-965	210	16	”	"	PUNCT
ap-965	210	17	.	.	PUNCT
ap-965	211	1	they	they	PRON
ap-965	211	2	are	be	AUX
ap-965	211	3	obtained	obtain	VERB
ap-965	211	4	from	from	ADP
ap-965	211	5	the	the	DET
ap-965	211	6	primitive	primitive	ADJ
ap-965	211	7	maximal	maximal	ADJ
ap-965	211	8	clifford	clifford	PROPN
ap-965	211	9	algebras	algebras	PROPN
ap-965	211	10	by	by	ADP
ap-965	211	11	iteratively	iteratively	ADV
ap-965	211	12	applying	apply	VERB
ap-965	211	13	the	the	DET
ap-965	211	14	two	two	NUM
ap-965	211	15	recursive	recursive	ADJ
ap-965	211	16	algorithms	algorithm	NOUN
ap-965	211	17	(	(	PUNCT
ap-965	211	18	4.30	4.30	NUM
ap-965	211	19	)	)	PUNCT
ap-965	211	20	and	and	CCONJ
ap-965	211	21	(	(	PUNCT
ap-965	211	22	4.31	4.31	NUM
ap-965	211	23	)	)	PUNCT
ap-965	211	24	.	.	PUNCT
ap-965	212	1	moreover	moreover	ADV
ap-965	212	2	,	,	PUNCT
ap-965	212	3	any	any	DET
ap-965	212	4	non	non	ADJ
ap-965	212	5	-	-	ADJ
ap-965	212	6	maximal	maximal	ADJ
ap-965	212	7	clifford	clifford	PROPN
ap-965	212	8	algebra	algebra	PROPN
ap-965	212	9	is	be	AUX
ap-965	212	10	obtained	obtain	VERB
ap-965	212	11	from	from	ADP
ap-965	212	12	a	a	DET
ap-965	212	13	given	give	VERB
ap-965	212	14	maximal	maximal	ADJ
ap-965	212	15	clifford	clifford	PROPN
ap-965	212	16	algebra	algebra	PROPN
ap-965	212	17	by	by	ADP
ap-965	212	18	deleting	delete	VERB
ap-965	212	19	a	a	DET
ap-965	212	20	certain	certain	ADJ
ap-965	212	21	number	number	NOUN
ap-965	212	22	of	of	ADP
ap-965	212	23	gamma	gamma	NOUN
ap-965	212	24	matrices	matrix	NOUN
ap-965	212	25	(	(	PUNCT
ap-965	212	26	as	as	ADP
ap-965	212	27	an	an	DET
ap-965	212	28	example	example	NOUN
ap-965	212	29	,	,	PUNCT
ap-965	212	30	clifford	clifford	PROPN
ap-965	212	31	algebras	algebras	PROPN
ap-965	212	32	in	in	ADP
ap-965	212	33	even	even	ADV
ap-965	212	34	-	-	PUNCT
ap-965	212	35	dimensional	dimensional	ADJ
ap-965	212	36	spacetimes	spacetime	NOUN
ap-965	212	37	are	be	AUX
ap-965	212	38	always	always	ADV
ap-965	212	39	non	non	ADJ
ap-965	212	40	-	-	ADJ
ap-965	212	41	maximal	maximal	ADJ
ap-965	212	42	)	)	PUNCT
ap-965	212	43	.	.	PUNCT
ap-965	213	1	it	it	PRON
ap-965	213	2	is	be	AUX
ap-965	213	3	immediately	immediately	ADV
ap-965	213	4	clear	clear	ADJ
ap-965	213	5	from	from	ADP
ap-965	213	6	the	the	DET
ap-965	213	7	above	above	ADJ
ap-965	213	8	construction	construction	NOUN
ap-965	213	9	that	that	SCONJ
ap-965	213	10	the	the	DET
ap-965	213	11	maximal	maximal	ADJ
ap-965	213	12	clifford	clifford	PROPN
ap-965	213	13	algebras	algebras	PROPN
ap-965	213	14	are	be	AUX
ap-965	213	15	encountered	encounter	VERB
ap-965	213	16	if	if	SCONJ
ap-965	213	17	and	and	CCONJ
ap-965	213	18	only	only	ADV
ap-965	213	19	if	if	SCONJ
ap-965	213	20	the	the	DET
ap-965	213	21	condition	condition	NOUN
ap-965	213	22	p	p	X
ap-965	213	23	q	q	PROPN
ap-965	213	24	�	�	X
ap-965	213	25	�	�	PROPN
ap-965	213	26	15	15	NUM
ap-965	213	27	8	8	NUM
ap-965	213	28	,	,	PUNCT
ap-965	213	29	mod	mod	X
ap-965	213	30	(	(	PUNCT
ap-965	213	31	4.34	4.34	NUM
ap-965	213	32	)	)	PUNCT
ap-965	213	33	is	be	AUX
ap-965	213	34	matched	match	VERB
ap-965	213	35	.	.	PUNCT
ap-965	214	1	the	the	DET
ap-965	214	2	notion	notion	NOUN
ap-965	214	3	of	of	ADP
ap-965	214	4	a	a	DET
ap-965	214	5	clifford	clifford	PROPN
ap-965	214	6	algebra	algebra	NOUN
ap-965	214	7	of	of	ADP
ap-965	214	8	the	the	DET
ap-965	214	9	generalized	generalized	ADJ
ap-965	214	10	weyl	weyl	VERB
ap-965	214	11	type	type	NOUN
ap-965	214	12	,	,	PUNCT
ap-965	214	13	namely	namely	ADV
ap-965	214	14	satisfying	satisfy	VERB
ap-965	214	15	the	the	DET
ap-965	214	16	(	(	PUNCT
ap-965	214	17	3.26	3.26	NUM
ap-965	214	18	)	)	PUNCT
ap-965	214	19	condition	condition	NOUN
ap-965	214	20	,	,	PUNCT
ap-965	214	21	has	have	AUX
ap-965	214	22	already	already	ADV
ap-965	214	23	been	be	AUX
ap-965	214	24	introduced	introduce	VERB
ap-965	214	25	.	.	PUNCT
ap-965	215	1	all	all	DET
ap-965	215	2	maximal	maximal	ADJ
ap-965	215	3	clifford	clifford	PROPN
ap-965	215	4	algebras	algebras	PROPN
ap-965	215	5	,	,	PUNCT
ap-965	215	6	both	both	CCONJ
ap-965	215	7	primitive	primitive	ADJ
ap-965	215	8	and	and	CCONJ
ap-965	215	9	descendant	descendant	ADJ
ap-965	215	10	,	,	PUNCT
ap-965	215	11	are	be	AUX
ap-965	215	12	not	not	PART
ap-965	215	13	of	of	ADP
ap-965	215	14	the	the	DET
ap-965	215	15	generalized	generalized	ADJ
ap-965	215	16	weyl	weyl	VERB
ap-965	215	17	type	type	NOUN
ap-965	215	18	.	.	PUNCT
ap-965	216	1	as	as	SCONJ
ap-965	216	2	already	already	ADV
ap-965	216	3	pointed	point	VERB
ap-965	216	4	out	out	ADP
ap-965	216	5	,	,	PUNCT
ap-965	216	6	the	the	DET
ap-965	216	7	notion	notion	NOUN
ap-965	216	8	of	of	ADP
ap-965	216	9	generalized	generalized	ADJ
ap-965	216	10	weyl	weyl	VERB
ap-965	216	11	spinors	spinor	NOUN
ap-965	216	12	is	be	AUX
ap-965	216	13	based	base	VERB
ap-965	216	14	on	on	ADP
ap-965	216	15	real	real	ADV
ap-965	216	16	-	-	PUNCT
ap-965	216	17	valued	value	VERB
ap-965	216	18	representations	representation	NOUN
ap-965	216	19	of	of	ADP
ap-965	216	20	clifford	clifford	PROPN
ap-965	216	21	algebras	algebras	PROPN
ap-965	216	22	which	which	PRON
ap-965	216	23	,	,	PUNCT
ap-965	216	24	for	for	ADP
ap-965	216	25	classification	classification	NOUN
ap-965	216	26	purposes	purpose	NOUN
ap-965	216	27	,	,	PUNCT
ap-965	216	28	are	be	AUX
ap-965	216	29	more	more	ADV
ap-965	216	30	convenient	convenient	ADJ
ap-965	216	31	to	to	PART
ap-965	216	32	use	use	VERB
ap-965	216	33	w.r.t	w.r.t	NOUN
ap-965	216	34	.	.	PUNCT
ap-965	217	1	the	the	DET
ap-965	217	2	complex	complex	ADJ
ap-965	217	3	clifford	clifford	PROPN
ap-965	217	4	algebras	algebra	VERB
ap-965	217	5	that	that	SCONJ
ap-965	217	6	one	one	NUM
ap-965	217	7	in	in	ADP
ap-965	217	8	general	general	ADJ
ap-965	217	9	deals	deal	NOUN
ap-965	217	10	with	with	ADP
ap-965	217	11	.	.	PUNCT
ap-965	218	1	for	for	ADP
ap-965	218	2	this	this	DET
ap-965	218	3	reason	reason	NOUN
ap-965	218	4	generalized	generalize	VERB
ap-965	218	5	weyl	weyl	VERB
ap-965	218	6	spinors	spinor	NOUN
ap-965	218	7	exist	exist	VERB
ap-965	218	8	also	also	ADV
ap-965	218	9	in	in	ADP
ap-965	218	10	odd	odd	ADJ
ap-965	218	11	-	-	PUNCT
ap-965	218	12	dimensional	dimensional	ADJ
ap-965	218	13	space	space	NOUN
ap-965	218	14	-	-	PUNCT
ap-965	218	15	time	time	NOUN
ap-965	218	16	,	,	PUNCT
ap-965	218	17	see	see	VERB
ap-965	218	18	formula	formula	NOUN
ap-965	218	19	(	(	PUNCT
ap-965	218	20	3.26	3.26	NUM
ap-965	218	21	)	)	PUNCT
ap-965	218	22	,	,	PUNCT
ap-965	218	23	while	while	SCONJ
ap-965	218	24	standard	standard	ADJ
ap-965	218	25	weyl	weyl	ADJ
ap-965	218	26	spinors	spinor	NOUN
ap-965	218	27	only	only	ADV
ap-965	218	28	exist	exist	VERB
ap-965	218	29	in	in	ADP
ap-965	218	30	even	even	ADV
ap-965	218	31	-	-	PUNCT
ap-965	218	32	dimensional	dimensional	ADJ
ap-965	218	33	spacetimes	spacetime	NOUN
ap-965	218	34	.	.	PUNCT
ap-965	219	1	this	this	PRON
ap-965	219	2	can	can	AUX
ap-965	219	3	be	be	AUX
ap-965	219	4	understood	understand	VERB
ap-965	219	5	by	by	ADP
ap-965	219	6	analyzing	analyze	VERB
ap-965	219	7	a	a	DET
ap-965	219	8	single	single	ADJ
ap-965	219	9	example	example	NOUN
ap-965	219	10	.	.	PUNCT
ap-965	220	1	the	the	DET
ap-965	220	2	real	real	ADJ
ap-965	220	3	irrep	irrep	ADJ
ap-965	220	4	c(0	c(0	NOUN
ap-965	220	5	,	,	PUNCT
ap-965	220	6	7	7	NUM
ap-965	220	7	)	)	PUNCT
ap-965	220	8	,	,	PUNCT
ap-965	220	9	with	with	ADP
ap-965	220	10	all	all	DET
ap-965	220	11	negative	negative	ADJ
ap-965	220	12	signs	sign	NOUN
ap-965	220	13	,	,	PUNCT
ap-965	220	14	is	be	AUX
ap-965	220	15	8	8	NUM
ap-965	220	16	-	-	PUNCT
ap-965	220	17	dimensional	dimensional	ADJ
ap-965	220	18	,	,	PUNCT
ap-965	220	19	see	see	VERB
ap-965	220	20	table	table	NOUN
ap-965	220	21	(	(	PUNCT
ap-965	220	22	4.33	4.33	NUM
ap-965	220	23	)	)	PUNCT
ap-965	220	24	,	,	PUNCT
ap-965	220	25	while	while	SCONJ
ap-965	220	26	the	the	DET
ap-965	220	27	real	real	ADJ
ap-965	220	28	irrep	irrep	NOUN
ap-965	220	29	c(7	c(7	ADV
ap-965	220	30	,	,	PUNCT
ap-965	220	31	0	0	NUM
ap-965	220	32	)	)	PUNCT
ap-965	220	33	is	be	AUX
ap-965	220	34	16	16	NUM
ap-965	220	35	-	-	PUNCT
ap-965	220	36	dimensional	dimensional	ADJ
ap-965	220	37	,	,	PUNCT
ap-965	220	38	but	but	CCONJ
ap-965	220	39	of	of	ADP
ap-965	220	40	generalized	generalized	ADJ
ap-965	220	41	weyl	weyl	VERB
ap-965	220	42	type	type	NOUN
ap-965	220	43	(	(	PUNCT
ap-965	220	44	3.26	3.26	NUM
ap-965	220	45	)	)	PUNCT
ap-965	220	46	.	.	PUNCT
ap-965	221	1	accordingly	accordingly	ADV
ap-965	221	2	,	,	PUNCT
ap-965	221	3	euclidean	euclidean	ADJ
ap-965	221	4	8	8	NUM
ap-965	221	5	-	-	PUNCT
ap-965	221	6	dimensional	dimensional	ADJ
ap-965	221	7	fundamental	fundamental	ADJ
ap-965	221	8	spinors	spinor	NOUN
ap-965	221	9	can	can	AUX
ap-965	221	10	be	be	AUX
ap-965	221	11	understood	understand	VERB
ap-965	221	12	either	either	CCONJ
ap-965	221	13	as	as	ADP
ap-965	221	14	the	the	DET
ap-965	221	15	8	8	NUM
ap-965	221	16	-	-	PUNCT
ap-965	221	17	dimensional	dimensional	ADJ
ap-965	221	18	“	"	PUNCT
ap-965	221	19	non	non	ADJ
ap-965	221	20	-	-	ADJ
ap-965	221	21	weyl	weyl	ADJ
ap-965	221	22	”	"	PUNCT
ap-965	221	23	spinors	spinor	NOUN
ap-965	221	24	of	of	ADP
ap-965	221	25	c(0	c(0	NOUN
ap-965	221	26	,	,	PUNCT
ap-965	221	27	7	7	NUM
ap-965	221	28	)	)	PUNCT
ap-965	221	29	,	,	PUNCT
ap-965	221	30	or	or	CCONJ
ap-965	221	31	as	as	ADP
ap-965	221	32	8	8	NUM
ap-965	221	33	-	-	PUNCT
ap-965	221	34	dimensional	dimensional	ADJ
ap-965	221	35	“	"	PUNCT
ap-965	221	36	weyl	weyl	VERB
ap-965	221	37	-	-	PUNCT
ap-965	221	38	projected	project	VERB
ap-965	221	39	”	"	PUNCT
ap-965	221	40	c(7	c(7	PROPN
ap-965	221	41	,	,	PUNCT
ap-965	221	42	0	0	NUM
ap-965	221	43	)	)	PUNCT
ap-965	221	44	spinors	spinor	NOUN
ap-965	221	45	.	.	PUNCT
ap-965	222	1	in	in	ADP
ap-965	222	2	the	the	DET
ap-965	222	3	complex	complex	ADJ
ap-965	222	4	case	case	NOUN
ap-965	222	5	,	,	PUNCT
ap-965	222	6	the	the	DET
ap-965	222	7	sign	sign	NOUN
ap-965	222	8	flipping	flip	VERB
ap-965	222	9	c	c	PROPN
ap-965	222	10	c	c	X
ap-965	222	11	(	(	PUNCT
ap-965	222	12	,	,	PUNCT
ap-965	222	13	)	)	PUNCT
ap-965	222	14	(	(	PUNCT
ap-965	222	15	,	,	PUNCT
ap-965	222	16	)	)	PUNCT
ap-965	222	17	0	0	NUM
ap-965	222	18	7	7	NUM
ap-965	222	19	7	7	NUM
ap-965	222	20	0	0	NUM
ap-965	222	21	�	�	PROPN
ap-965	222	22	can	can	AUX
ap-965	222	23	be	be	AUX
ap-965	222	24	realized	realize	VERB
ap-965	222	25	by	by	ADP
ap-965	222	26	multiplying	multiply	VERB
ap-965	222	27	all	all	DET
ap-965	222	28	gamma	gamma	NOUN
ap-965	222	29	matrices	matrix	NOUN
ap-965	222	30	by	by	ADP
ap-965	222	31	the	the	DET
ap-965	222	32	imaginary	imaginary	ADJ
ap-965	222	33	unit	unit	NOUN
ap-965	222	34	“	"	PUNCT
ap-965	222	35	i	i	PROPN
ap-965	222	36	”	"	PUNCT
ap-965	222	37	.	.	PUNCT
ap-965	223	1	no	no	DET
ap-965	223	2	doubling	doubling	NOUN
ap-965	223	3	of	of	ADP
ap-965	223	4	the	the	DET
ap-965	223	5	matrix	matrix	NOUN
ap-965	223	6	size	size	NOUN
ap-965	223	7	of	of	ADP
ap-965	223	8	the	the	DET
ap-965	223	9	�	�	PROPN
ap-965	223	10	’s	’s	PART
ap-965	223	11	is	be	AUX
ap-965	223	12	found	find	VERB
ap-965	223	13	and	and	CCONJ
ap-965	223	14	the	the	DET
ap-965	223	15	notion	notion	NOUN
ap-965	223	16	of	of	ADP
ap-965	223	17	weyl	weyl	VERB
ap-965	223	18	spinors	spinor	NOUN
ap-965	223	19	can	can	AUX
ap-965	223	20	not	not	PART
ap-965	223	21	be	be	AUX
ap-965	223	22	applied	apply	VERB
ap-965	223	23	.	.	PUNCT
ap-965	224	1	one	one	NUM
ap-965	224	2	faces	face	VERB
ap-965	224	3	a	a	DET
ap-965	224	4	similar	similar	ADJ
ap-965	224	5	situation	situation	NOUN
ap-965	224	6	in	in	ADP
ap-965	224	7	one	one	NUM
ap-965	224	8	-	-	PUNCT
ap-965	224	9	dimensional	dimensional	ADJ
ap-965	224	10	spacetime	spacetime	NOUN
ap-965	224	11	.	.	PUNCT
ap-965	225	1	in	in	ADP
ap-965	225	2	the	the	DET
ap-965	225	3	complex	complex	ADJ
ap-965	225	4	case	case	NOUN
ap-965	225	5	we	we	PRON
ap-965	225	6	can	can	AUX
ap-965	225	7	realize	realize	VERB
ap-965	225	8	c(1	c(1	PROPN
ap-965	225	9	,	,	PUNCT
ap-965	225	10	0	0	NUM
ap-965	225	11	)	)	PUNCT
ap-965	225	12	with	with	ADP
ap-965	225	13	1	1	NUM
ap-965	225	14	and	and	CCONJ
ap-965	225	15	c(0	c(0	PROPN
ap-965	225	16	,	,	PUNCT
ap-965	225	17	1	1	NUM
ap-965	225	18	)	)	PUNCT
ap-965	225	19	with	with	ADP
ap-965	225	20	i	i	PRON
ap-965	225	21	(	(	PUNCT
ap-965	225	22	both	both	PRON
ap-965	225	23	one	one	NUM
ap-965	225	24	-	-	PUNCT
ap-965	225	25	dimensional	dimensional	ADJ
ap-965	225	26	)	)	PUNCT
ap-965	225	27	.	.	PUNCT
ap-965	226	1	on	on	ADP
ap-965	226	2	the	the	DET
ap-965	226	3	other	other	ADJ
ap-965	226	4	hand	hand	NOUN
ap-965	226	5	,	,	PUNCT
ap-965	226	6	in	in	ADP
ap-965	226	7	the	the	DET
ap-965	226	8	real	real	ADJ
ap-965	226	9	case	case	NOUN
ap-965	226	10	,	,	PUNCT
ap-965	226	11	c(0	c(0	NOUN
ap-965	226	12	,	,	PUNCT
ap-965	226	13	1	1	NUM
ap-965	226	14	)	)	PUNCT
ap-965	226	15	can	can	AUX
ap-965	226	16	only	only	ADV
ap-965	226	17	be	be	AUX
ap-965	226	18	realized	realize	VERB
ap-965	226	19	through	through	ADP
ap-965	226	20	the	the	DET
ap-965	226	21	2	2	NUM
ap-965	226	22	-	-	PUNCT
ap-965	226	23	dimensional	dimensional	ADJ
ap-965	226	24	irrep	irrep	NOUN
ap-965	226	25	0	0	NUM
ap-965	226	26	1	1	NUM
ap-965	226	27	1	1	NUM
ap-965	226	28	0	0	NUM
ap-965	226	29	�	�	PROPN
ap-965	226	30	�	�	PROPN
ap-965	226	31	�	�	PROPN
ap-965	226	32	�	�	PROPN
ap-965	226	33	�	�	PROPN
ap-965	226	34	,	,	PUNCT
ap-965	226	35	which	which	PRON
ap-965	226	36	is	be	AUX
ap-965	226	37	block	block	NOUN
ap-965	226	38	-	-	PUNCT
ap-965	226	39	antidiagonal	antidiagonal	ADJ
ap-965	226	40	.	.	PUNCT
ap-965	227	1	throughout	throughout	ADP
ap-965	227	2	the	the	DET
ap-965	227	3	text	text	NOUN
ap-965	227	4	weyl	weyl	X
ap-965	227	5	(	(	PUNCT
ap-965	227	6	non	non	ADJ
ap-965	227	7	-	-	ADJ
ap-965	227	8	weyl	weyl	ADJ
ap-965	227	9	)	)	PUNCT
ap-965	227	10	spinors	spinor	NOUN
ap-965	227	11	are	be	AUX
ap-965	227	12	always	always	ADV
ap-965	227	13	referred	refer	VERB
ap-965	227	14	to	to	ADP
ap-965	227	15	the	the	DET
ap-965	227	16	(	(	PUNCT
ap-965	227	17	3.26	3.26	NUM
ap-965	227	18	)	)	PUNCT
ap-965	227	19	property	property	NOUN
ap-965	227	20	with	with	ADP
ap-965	227	21	respect	respect	NOUN
ap-965	227	22	to	to	ADP
ap-965	227	23	real	real	ADV
ap-965	227	24	-	-	PUNCT
ap-965	227	25	valued	value	VERB
ap-965	227	26	clifford	clifford	PROPN
ap-965	227	27	algebras	algebras	PROPN
ap-965	227	28	.	.	PUNCT
ap-965	228	1	non	non	ADJ
ap-965	228	2	-	-	ADJ
ap-965	228	3	maximal	maximal	ADJ
ap-965	228	4	clifford	clifford	PROPN
ap-965	228	5	algebras	algebras	PROPN
ap-965	228	6	are	be	AUX
ap-965	228	7	of	of	ADP
ap-965	228	8	the	the	DET
ap-965	228	9	weyl	weyl	VERB
ap-965	228	10	type	type	NOUN
ap-965	228	11	if	if	SCONJ
ap-965	228	12	and	and	CCONJ
ap-965	228	13	only	only	ADV
ap-965	228	14	if	if	SCONJ
ap-965	228	15	they	they	PRON
ap-965	228	16	are	be	AUX
ap-965	228	17	produced	produce	VERB
ap-965	228	18	from	from	ADP
ap-965	228	19	a	a	DET
ap-965	228	20	maximal	maximal	ADJ
ap-965	228	21	clifford	clifford	NOUN
ap-965	228	22	algebra	algebra	PROPN
ap-965	228	23	by	by	ADP
ap-965	228	24	deleting	delete	VERB
ap-965	228	25	at	at	ADV
ap-965	228	26	least	least	ADV
ap-965	228	27	one	one	NUM
ap-965	228	28	spatial	spatial	ADJ
ap-965	228	29	gamma	gamma	NOUN
ap-965	228	30	matrix	matrix	NOUN
ap-965	228	31	which	which	PRON
ap-965	228	32	,	,	PUNCT
ap-965	228	33	without	without	ADP
ap-965	228	34	loss	loss	NOUN
ap-965	228	35	of	of	ADP
ap-965	228	36	generality	generality	NOUN
ap-965	228	37	,	,	PUNCT
ap-965	228	38	can	can	AUX
ap-965	228	39	always	always	ADV
ap-965	228	40	be	be	AUX
ap-965	228	41	chosen	choose	VERB
ap-965	228	42	as	as	ADP
ap-965	228	43	the	the	DET
ap-965	228	44	one	one	NOUN
ap-965	228	45	with	with	ADP
ap-965	228	46	diagonal	diagonal	ADJ
ap-965	228	47	entries	entry	NOUN
ap-965	228	48	.	.	PUNCT
ap-965	229	1	let	let	VERB
ap-965	229	2	us	we	PRON
ap-965	229	3	now	now	ADV
ap-965	229	4	illustrate	illustrate	VERB
ap-965	229	5	how	how	SCONJ
ap-965	229	6	non	non	ADJ
ap-965	229	7	-	-	ADJ
ap-965	229	8	maximal	maximal	ADJ
ap-965	229	9	clifford	clifford	PROPN
ap-965	229	10	algebras	algebra	NOUN
ap-965	229	11	are	be	AUX
ap-965	229	12	produced	produce	VERB
ap-965	229	13	from	from	ADP
ap-965	229	14	the	the	DET
ap-965	229	15	corresponding	correspond	VERB
ap-965	229	16	maximal	maximal	ADJ
ap-965	229	17	clifford	clifford	PROPN
ap-965	229	18	algebras	algebras	PROPN
ap-965	229	19	.	.	PUNCT
ap-965	230	1	the	the	DET
ap-965	230	2	construction	construction	NOUN
ap-965	230	3	goes	go	VERB
ap-965	230	4	as	as	SCONJ
ap-965	230	5	follows	follow	VERB
ap-965	230	6	.	.	PUNCT
ap-965	231	1	we	we	PRON
ap-965	231	2	illustrate	illustrate	VERB
ap-965	231	3	at	at	ADP
ap-965	231	4	first	first	ADV
ap-965	231	5	the	the	DET
ap-965	231	6	example	example	NOUN
ap-965	231	7	of	of	ADP
ap-965	231	8	the	the	DET
ap-965	231	9	non	non	ADJ
ap-965	231	10	-	-	ADJ
ap-965	231	11	maximal	maximal	ADJ
ap-965	231	12	clifford	clifford	PROPN
ap-965	231	13	algebras	algebras	PROPN
ap-965	231	14	obtained	obtain	VERB
ap-965	231	15	from	from	ADP
ap-965	231	16	the	the	DET
ap-965	231	17	2	2	NUM
ap-965	231	18	-	-	PUNCT
ap-965	231	19	dimensional	dimensional	ADJ
ap-965	231	20	maximal	maximal	ADJ
ap-965	231	21	clifford	clifford	PROPN
ap-965	231	22	irrep	irrep	PROPN
ap-965	231	23	c(2	c(2	PROPN
ap-965	231	24	,	,	PUNCT
ap-965	231	25	1	1	NUM
ap-965	231	26	)	)	PUNCT
ap-965	231	27	furnished	furnish	VERB
ap-965	231	28	by	by	ADP
ap-965	231	29	the	the	DET
ap-965	231	30	three	three	NUM
ap-965	231	31	matrices	matrix	NOUN
ap-965	231	32	�	�	NOUN
ap-965	231	33	1	1	NUM
ap-965	231	34	,	,	PUNCT
ap-965	231	35	�	�	PROPN
ap-965	231	36	2	2	NUM
ap-965	231	37	,	,	PUNCT
ap-965	231	38	�	�	X
ap-965	231	39	a	a	PRON
ap-965	231	40	given	give	VERB
ap-965	231	41	in	in	ADP
ap-965	231	42	(	(	PUNCT
ap-965	231	43	4.32	4.32	NUM
ap-965	231	44	)	)	PUNCT
ap-965	231	45	.	.	PUNCT
ap-965	232	1	if	if	SCONJ
ap-965	232	2	we	we	PRON
ap-965	232	3	restrict	restrict	VERB
ap-965	232	4	the	the	DET
ap-965	232	5	clifford	clifford	PROPN
ap-965	232	6	algebra	algebra	PROPN
ap-965	232	7	to	to	ADP
ap-965	232	8	�	�	PROPN
ap-965	232	9	1	1	NUM
ap-965	232	10	,	,	PUNCT
ap-965	232	11	�	�	PROPN
ap-965	232	12	a	a	NOUN
ap-965	232	13	,	,	PUNCT
ap-965	232	14	i.e.	i.e.	X
ap-965	232	15	if	if	SCONJ
ap-965	232	16	we	we	PRON
ap-965	232	17	delete	delete	VERB
ap-965	232	18	�	�	NOUN
ap-965	232	19	2	2	NUM
ap-965	232	20	from	from	ADP
ap-965	232	21	the	the	DET
ap-965	232	22	previous	previous	ADJ
ap-965	232	23	set	set	NOUN
ap-965	232	24	,	,	PUNCT
ap-965	232	25	we	we	PRON
ap-965	232	26	get	get	VERB
ap-965	232	27	the	the	DET
ap-965	232	28	2	2	NUM
ap-965	232	29	-	-	PUNCT
ap-965	232	30	dimensional	dimensional	ADJ
ap-965	232	31	irrep	irrep	ADJ
ap-965	232	32	c(1	c(1	NOUN
ap-965	232	33	,	,	PUNCT
ap-965	232	34	1	1	NUM
ap-965	232	35	)	)	PUNCT
ap-965	232	36	.	.	PUNCT
ap-965	233	1	if	if	SCONJ
ap-965	233	2	we	we	PRON
ap-965	233	3	further	far	ADV
ap-965	233	4	delete	delete	ADJ
ap-965	233	5	�	�	PROPN
ap-965	233	6	1	1	NUM
ap-965	233	7	we	we	PRON
ap-965	233	8	are	be	AUX
ap-965	233	9	left	leave	VERB
ap-965	233	10	with	with	ADP
ap-965	233	11	�	�	PROPN
ap-965	233	12	a	a	DET
ap-965	233	13	only	only	ADV
ap-965	233	14	,	,	PUNCT
ap-965	233	15	which	which	PRON
ap-965	233	16	provides	provide	VERB
ap-965	233	17	the	the	DET
ap-965	233	18	2	2	NUM
ap-965	233	19	-	-	PUNCT
ap-965	233	20	dimensional	dimensional	ADJ
ap-965	233	21	irrep	irrep	ADJ
ap-965	233	22	c(0	c(0	NOUN
ap-965	233	23	,	,	PUNCT
ap-965	233	24	1	1	NUM
ap-965	233	25	)	)	PUNCT
ap-965	233	26	discussed	discuss	VERB
ap-965	233	27	above	above	ADV
ap-965	233	28	.	.	PUNCT
ap-965	234	1	on	on	ADP
ap-965	234	2	the	the	DET
ap-965	234	3	other	other	ADJ
ap-965	234	4	hand	hand	NOUN
ap-965	234	5	,	,	PUNCT
ap-965	234	6	deleting	delete	VERB
ap-965	234	7	�	�	PROPN
ap-965	234	8	a	a	PRON
ap-965	234	9	from	from	ADP
ap-965	234	10	c(2	c(2	PROPN
ap-965	234	11	,	,	PUNCT
ap-965	234	12	1	1	NUM
ap-965	234	13	)	)	PUNCT
ap-965	234	14	leaves	leave	VERB
ap-965	234	15	us	we	PRON
ap-965	234	16	with	with	ADP
ap-965	234	17	�	�	PROPN
ap-965	234	18	1	1	NUM
ap-965	234	19	,	,	PUNCT
ap-965	234	20	�	�	PROPN
ap-965	234	21	2	2	NUM
ap-965	234	22	,	,	PUNCT
ap-965	234	23	the	the	DET
ap-965	234	24	2	2	NUM
ap-965	234	25	-	-	PUNCT
ap-965	234	26	dimensional	dimensional	ADJ
ap-965	234	27	irrep	irrep	ADJ
ap-965	234	28	c(2	c(2	PROPN
ap-965	234	29	,	,	PUNCT
ap-965	234	30	0	0	NUM
ap-965	234	31	)	)	PUNCT
ap-965	234	32	.	.	PUNCT
ap-965	235	1	to	to	PART
ap-965	235	2	summarize	summarize	VERB
ap-965	235	3	,	,	PUNCT
ap-965	235	4	from	from	ADP
ap-965	235	5	the	the	DET
ap-965	235	6	2	2	NUM
ap-965	235	7	-	-	PUNCT
ap-965	235	8	dimensional	dimensional	ADJ
ap-965	235	9	irrep	irrep	NOUN
ap-965	235	10	of	of	ADP
ap-965	235	11	the	the	DET
ap-965	235	12	”	"	PUNCT
ap-965	235	13	maximal	maximal	ADJ
ap-965	235	14	clifford	clifford	PROPN
ap-965	235	15	algebra	algebra	PROPN
ap-965	235	16	”	"	PUNCT
ap-965	235	17	c(2	c(2	PROPN
ap-965	235	18	,	,	PUNCT
ap-965	235	19	1	1	NUM
ap-965	235	20	)	)	PUNCT
ap-965	235	21	we	we	PRON
ap-965	235	22	obtain	obtain	VERB
ap-965	235	23	the	the	DET
ap-965	235	24	2	2	NUM
ap-965	235	25	-	-	PUNCT
ap-965	235	26	dimensional	dimensional	ADJ
ap-965	235	27	irreps	irrep	NOUN
ap-965	235	28	of	of	ADP
ap-965	235	29	the	the	DET
ap-965	235	30	non	non	ADJ
ap-965	235	31	-	-	ADJ
ap-965	235	32	maximal	maximal	ADJ
ap-965	235	33	clifford	clifford	PROPN
ap-965	235	34	algebras	algebras	PROPN
ap-965	235	35	c(1	c(1	PROPN
ap-965	235	36	,	,	PUNCT
ap-965	235	37	1	1	NUM
ap-965	235	38	)	)	PUNCT
ap-965	235	39	,	,	PUNCT
ap-965	235	40	c(0	c(0	NOUN
ap-965	235	41	,	,	PUNCT
ap-965	235	42	1	1	NUM
ap-965	235	43	)	)	PUNCT
ap-965	235	44	and	and	CCONJ
ap-965	235	45	c(0	c(0	PROPN
ap-965	235	46	,	,	PUNCT
ap-965	235	47	2	2	NUM
ap-965	235	48	)	)	PUNCT
ap-965	235	49	through	through	ADP
ap-965	235	50	a	a	DET
ap-965	235	51	“	"	PUNCT
ap-965	235	52	�	�	NOUN
ap-965	235	53	-matrices	-matrice	NOUN
ap-965	235	54	deleting	delete	VERB
ap-965	235	55	procedure	procedure	NOUN
ap-965	235	56	”	"	PUNCT
ap-965	235	57	.	.	PUNCT
ap-965	236	1	please	please	INTJ
ap-965	236	2	note	note	VERB
ap-965	236	3	that	that	SCONJ
ap-965	236	4	,	,	PUNCT
ap-965	236	5	through	through	ADP
ap-965	236	6	deleting	delete	VERB
ap-965	236	7	,	,	PUNCT
ap-965	236	8	we	we	PRON
ap-965	236	9	can	can	AUX
ap-965	236	10	not	not	PART
ap-965	236	11	obtain	obtain	VERB
ap-965	236	12	from	from	ADP
ap-965	236	13	c(1	c(1	PROPN
ap-965	236	14	,	,	PUNCT
ap-965	236	15	2	2	NUM
ap-965	236	16	)	)	PUNCT
ap-965	236	17	the	the	DET
ap-965	236	18	irrep	irrep	NOUN
ap-965	236	19	,	,	PUNCT
ap-965	236	20	since	since	SCONJ
ap-965	236	21	the	the	DET
ap-965	236	22	latter	latter	ADJ
ap-965	236	23	is	be	AUX
ap-965	236	24	one	one	NUM
ap-965	236	25	-	-	PUNCT
ap-965	236	26	dimensional	dimensional	ADJ
ap-965	236	27	.	.	PUNCT
ap-965	237	1	in	in	ADP
ap-965	237	2	full	full	ADJ
ap-965	237	3	generality	generality	NOUN
ap-965	237	4	,	,	PUNCT
ap-965	237	5	non	non	ADJ
ap-965	237	6	-	-	ADJ
ap-965	237	7	maximal	maximal	ADJ
ap-965	237	8	clifford	clifford	PROPN
ap-965	237	9	algebras	algebra	NOUN
ap-965	237	10	are	be	AUX
ap-965	237	11	produced	produce	VERB
ap-965	237	12	from	from	ADP
ap-965	237	13	the	the	DET
ap-965	237	14	corresponding	correspond	VERB
ap-965	237	15	maximal	maximal	ADJ
ap-965	237	16	clifford	clifford	PROPN
ap-965	237	17	algebras	algebras	PROPN
ap-965	237	18	according	accord	VERB
ap-965	237	19	to	to	ADP
ap-965	237	20	the	the	DET
ap-965	237	21	following	follow	VERB
ap-965	237	22	table	table	NOUN
ap-965	237	23	,	,	PUNCT
ap-965	237	24	which	which	PRON
ap-965	237	25	specifies	specify	VERB
ap-965	237	26	the	the	DET
ap-965	237	27	number	number	NOUN
ap-965	237	28	of	of	ADP
ap-965	237	29	time	time	NOUN
ap-965	237	30	-	-	PUNCT
ap-965	237	31	like	like	ADJ
ap-965	237	32	or	or	CCONJ
ap-965	237	33	space	space	NOUN
ap-965	237	34	-	-	PUNCT
ap-965	237	35	like	like	ADJ
ap-965	237	36	gamma	gamma	NOUN
ap-965	237	37	matrices	matrix	NOUN
ap-965	237	38	that	that	PRON
ap-965	237	39	should	should	AUX
ap-965	237	40	be	be	AUX
ap-965	237	41	de64	de64	PROPN
ap-965	237	42	©	©	PROPN
ap-965	237	43	czech	czech	PROPN
ap-965	237	44	technical	technical	PROPN
ap-965	237	45	university	university	PROPN
ap-965	237	46	publishing	publishing	NOUN
ap-965	237	47	house	house	NOUN
ap-965	237	48	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	237	49	acta	acta	PROPN
ap-965	237	50	polytechnica	polytechnica	PROPN
ap-965	237	51	vol	vol	NOUN
ap-965	237	52	.	.	PUNCT
ap-965	238	1	48	48	NUM
ap-965	238	2	no	no	NOUN
ap-965	238	3	.	.	PUNCT
ap-965	239	1	2/2008	2/2008	NUM
ap-965	239	2	leted	let	VERB
ap-965	239	3	,	,	PUNCT
ap-965	239	4	as	as	ADV
ap-965	239	5	well	well	ADV
ap-965	239	6	as	as	ADP
ap-965	239	7	the	the	DET
ap-965	239	8	generalized	generalized	ADJ
ap-965	239	9	weyl	weyl	NOUN
ap-965	239	10	(	(	PUNCT
ap-965	239	11	w	w	NOUN
ap-965	239	12	)	)	PUNCT
ap-965	239	13	character	character	NOUN
ap-965	239	14	or	or	CCONJ
ap-965	239	15	not	not	PART
ap-965	239	16	(	(	PUNCT
ap-965	239	17	nw	nw	NOUN
ap-965	239	18	)	)	PUNCT
ap-965	239	19	of	of	ADP
ap-965	239	20	the	the	DET
ap-965	239	21	given	give	VERB
ap-965	239	22	non	non	ADJ
ap-965	239	23	-	-	ADJ
ap-965	239	24	maximal	maximal	ADJ
ap-965	239	25	clifford	clifford	PROPN
ap-965	239	26	algebra	algebra	PROPN
ap-965	239	27	.	.	PUNCT
ap-965	240	1	we	we	PRON
ap-965	240	2	get	get	VERB
ap-965	240	3	w	w	PROPN
ap-965	240	4	nw	nw	PROPN
ap-965	240	5	(	(	PUNCT
ap-965	240	6	4.35	4.35	NUM
ap-965	240	7	)	)	PUNCT
ap-965	240	8	(	(	PUNCT
ap-965	240	9	mod	mod	PROPN
ap-965	240	10	)	)	PUNCT
ap-965	240	11	(	(	PUNCT
ap-965	240	12	mod	mod	PROPN
ap-965	240	13	)	)	PUNCT
ap-965	240	14	(	(	PUNCT
ap-965	240	15	,	,	PUNCT
ap-965	240	16	)	)	PUNCT
ap-965	240	17	(	(	PUNCT
ap-965	240	18	,	,	PUNCT
ap-965	240	19	)	)	PUNCT
ap-965	240	20	0	0	NUM
ap-965	240	21	8	8	NUM
ap-965	240	22	1	1	NUM
ap-965	240	23	8	8	NUM
ap-965	240	24	1	1	NUM
ap-965	240	25	�	�	PROPN
ap-965	240	26	�	�	PROPN
ap-965	240	27	�	�	PROPN
ap-965	240	28	p	p	NOUN
ap-965	240	29	q	q	AUX
ap-965	240	30	p	p	X
ap-965	240	31	q	q	X
ap-965	240	32	(	(	PUNCT
ap-965	240	33	mod	mod	PROPN
ap-965	240	34	)	)	PUNCT
ap-965	240	35	(	(	PUNCT
ap-965	240	36	mod	mod	PROPN
ap-965	240	37	)	)	PUNCT
ap-965	240	38	(	(	PUNCT
ap-965	240	39	,	,	PUNCT
ap-965	240	40	)	)	PUNCT
ap-965	240	41	(	(	PUNCT
ap-965	240	42	,	,	PUNCT
ap-965	240	43	)	)	PUNCT
ap-965	240	44	2	2	NUM
ap-965	240	45	8	8	NUM
ap-965	240	46	1	1	NUM
ap-965	240	47	8	8	NUM
ap-965	240	48	1	1	NUM
ap-965	240	49	�	�	PROPN
ap-965	240	50	�	�	PROPN
ap-965	240	51	�	�	PROPN
ap-965	240	52	p	p	NOUN
ap-965	240	53	q	q	PROPN
ap-965	240	54	p	p	X
ap-965	240	55	q	q	X
ap-965	240	56	(	(	PUNCT
ap-965	240	57	mod	mod	PROPN
ap-965	240	58	)	)	PUNCT
ap-965	240	59	(	(	PUNCT
ap-965	240	60	mod	mod	PROPN
ap-965	240	61	)	)	PUNCT
ap-965	240	62	(	(	PUNCT
ap-965	240	63	,	,	PUNCT
ap-965	240	64	)	)	PUNCT
ap-965	240	65	(	(	PUNCT
ap-965	240	66	,	,	PUNCT
ap-965	240	67	)	)	PUNCT
ap-965	240	68	4	4	NUM
ap-965	240	69	8	8	NUM
ap-965	240	70	5	5	NUM
ap-965	240	71	8	8	NUM
ap-965	240	72	1	1	NUM
ap-965	240	73	�	�	PROPN
ap-965	240	74	�	�	PROPN
ap-965	240	75	�	�	PROPN
ap-965	240	76	p	p	NOUN
ap-965	240	77	q	q	PROPN
ap-965	240	78	p	p	X
ap-965	240	79	q	q	X
ap-965	240	80	(	(	PUNCT
ap-965	240	81	mod	mod	PROPN
ap-965	240	82	)	)	PUNCT
ap-965	240	83	(	(	PUNCT
ap-965	240	84	mod	mod	PROPN
ap-965	240	85	)	)	PUNCT
ap-965	240	86	(	(	PUNCT
ap-965	240	87	,	,	PUNCT
ap-965	240	88	)	)	PUNCT
ap-965	240	89	(	(	PUNCT
ap-965	240	90	,	,	PUNCT
ap-965	240	91	)	)	PUNCT
ap-965	240	92	3	3	NUM
ap-965	240	93	8	8	NUM
ap-965	240	94	1	1	NUM
ap-965	240	95	8	8	NUM
ap-965	240	96	2	2	NUM
ap-965	240	97	�	�	PROPN
ap-965	240	98	�	�	PROPN
ap-965	240	99	�	�	PROPN
ap-965	240	100	p	p	NOUN
ap-965	240	101	q	q	PROPN
ap-965	240	102	p	p	X
ap-965	240	103	q	q	X
ap-965	240	104	(	(	PUNCT
ap-965	240	105	mod	mod	PROPN
ap-965	240	106	)	)	PUNCT
ap-965	240	107	(	(	PUNCT
ap-965	240	108	mod	mod	PROPN
ap-965	240	109	)	)	PUNCT
ap-965	240	110	(	(	PUNCT
ap-965	240	111	,	,	PUNCT
ap-965	240	112	)	)	PUNCT
ap-965	240	113	(	(	PUNCT
ap-965	240	114	,	,	PUNCT
ap-965	240	115	)	)	PUNCT
ap-965	240	116	6	6	NUM
ap-965	240	117	8	8	NUM
ap-965	240	118	1	1	NUM
ap-965	240	119	8	8	NUM
ap-965	240	120	3	3	NUM
ap-965	240	121	�	�	PROPN
ap-965	240	122	�	�	PROPN
ap-965	240	123	�	�	PROPN
ap-965	240	124	p	p	NOUN
ap-965	240	125	q	q	PROPN
ap-965	240	126	p	p	X
ap-965	240	127	q	q	X
ap-965	240	128	(	(	PUNCT
ap-965	240	129	mod	mod	PROPN
ap-965	240	130	)	)	PUNCT
ap-965	240	131	(	(	PUNCT
ap-965	240	132	mod	mod	PROPN
ap-965	240	133	)	)	PUNCT
ap-965	240	134	(	(	PUNCT
ap-965	240	135	,	,	PUNCT
ap-965	240	136	)	)	PUNCT
ap-965	240	137	(	(	PUNCT
ap-965	240	138	,	,	PUNCT
ap-965	240	139	)	)	PUNCT
ap-965	240	140	7	7	NUM
ap-965	240	141	8	8	NUM
ap-965	240	142	1	1	NUM
ap-965	240	143	8	8	NUM
ap-965	240	144	2	2	NUM
ap-965	240	145	�	�	PROPN
ap-965	240	146	�	�	PROPN
ap-965	240	147	�	�	PROPN
ap-965	240	148	p	p	NOUN
ap-965	240	149	q	q	PROPN
ap-965	240	150	p	p	X
ap-965	240	151	q	q	NOUN
ap-965	240	152	in	in	ADP
ap-965	240	153	the	the	DET
ap-965	240	154	above	above	ADJ
ap-965	240	155	entries	entry	NOUN
ap-965	240	156	x	x	PUNCT
ap-965	240	157	mod8	mod8	NOUN
ap-965	240	158	specifies	specify	VERB
ap-965	240	159	the	the	DET
ap-965	240	160	mod8	mod8	NOUN
ap-965	240	161	residue	residue	NOUN
ap-965	240	162	of	of	ADP
ap-965	240	163	t	t	PROPN
ap-965	240	164	s	s	PROPN
ap-965	240	165	�	�	PROPN
ap-965	240	166	for	for	ADP
ap-965	240	167	any	any	DET
ap-965	240	168	given	give	VERB
ap-965	240	169	(	(	PUNCT
ap-965	240	170	,	,	PUNCT
ap-965	240	171	)	)	PUNCT
ap-965	240	172	t	t	PROPN
ap-965	240	173	s	s	PART
ap-965	240	174	spacetime	spacetime	NOUN
ap-965	240	175	.	.	PUNCT
ap-965	241	1	non	non	ADJ
ap-965	241	2	-	-	ADJ
ap-965	241	3	maximal	maximal	ADJ
ap-965	241	4	clifford	clifford	PROPN
ap-965	241	5	algebras	algebra	NOUN
ap-965	241	6	are	be	AUX
ap-965	241	7	denoted	denote	VERB
ap-965	241	8	by	by	ADP
ap-965	241	9	p	p	PROPN
ap-965	241	10	t	t	PROPN
ap-965	241	11	�	�	PROPN
ap-965	241	12	,	,	PUNCT
ap-965	241	13	q	q	PROPN
ap-965	241	14	s	s	PROPN
ap-965	241	15	�	�	PROPN
ap-965	241	16	,	,	PUNCT
ap-965	241	17	while	while	SCONJ
ap-965	241	18	maximal	maximal	ADJ
ap-965	241	19	clifford	clifford	PROPN
ap-965	241	20	algebras	algebras	PROPN
ap-965	241	21	are	be	AUX
ap-965	241	22	denoted	denote	VERB
ap-965	241	23	by	by	ADP
ap-965	241	24	(	(	PUNCT
ap-965	241	25	,	,	PUNCT
ap-965	241	26	)	)	PUNCT
ap-965	241	27	�	�	PROPN
ap-965	241	28	�	�	PROPN
ap-965	241	29	p	p	NOUN
ap-965	241	30	q	q	X
ap-965	241	31	,	,	PUNCT
ap-965	241	32	with	with	ADP
ap-965	241	33	�	�	PROPN
ap-965	241	34	�	�	PROPN
ap-965	241	35	p	p	NOUN
ap-965	241	36	p	p	PROPN
ap-965	241	37	,	,	PUNCT
ap-965	241	38	�	�	PROPN
ap-965	241	39	�	�	PROPN
ap-965	241	40	q	q	PROPN
ap-965	241	41	q.	q.	NOUN
ap-965	241	42	the	the	DET
ap-965	241	43	differences	difference	NOUN
ap-965	241	44	�	�	PROPN
ap-965	241	45	�	�	PROPN
ap-965	241	46	p	p	NOUN
ap-965	241	47	p	p	PROPN
ap-965	241	48	,	,	PUNCT
ap-965	241	49	�	�	PROPN
ap-965	241	50	�	�	PROPN
ap-965	241	51	q	q	NOUN
ap-965	241	52	q	q	NOUN
ap-965	241	53	denote	denote	NOUN
ap-965	241	54	how	how	SCONJ
ap-965	241	55	many	many	ADJ
ap-965	241	56	clifford	clifford	PROPN
ap-965	241	57	gamma	gamma	NOUN
ap-965	241	58	matrices	matrix	NOUN
ap-965	241	59	(	(	PUNCT
ap-965	241	60	of	of	ADP
ap-965	241	61	time	time	NOUN
ap-965	241	62	-	-	PUNCT
ap-965	241	63	like	like	ADJ
ap-965	241	64	or	or	CCONJ
ap-965	241	65	respectively	respectively	ADV
ap-965	241	66	space	space	NOUN
ap-965	241	67	-	-	PUNCT
ap-965	241	68	like	like	ADJ
ap-965	241	69	type	type	NOUN
ap-965	241	70	)	)	PUNCT
ap-965	241	71	have	have	VERB
ap-965	241	72	to	to	PART
ap-965	241	73	be	be	AUX
ap-965	241	74	deleted	delete	VERB
ap-965	241	75	from	from	ADP
ap-965	241	76	a	a	DET
ap-965	241	77	given	give	VERB
ap-965	241	78	maximal	maximal	ADJ
ap-965	241	79	clifford	clifford	PROPN
ap-965	241	80	algebra	algebra	PROPN
ap-965	241	81	to	to	PART
ap-965	241	82	produce	produce	VERB
ap-965	241	83	the	the	DET
ap-965	241	84	irrep	irrep	NOUN
ap-965	241	85	of	of	ADP
ap-965	241	86	the	the	DET
ap-965	241	87	corresponding	corresponding	ADJ
ap-965	241	88	non	non	ADJ
ap-965	241	89	-	-	ADJ
ap-965	241	90	maximal	maximal	ADJ
ap-965	241	91	clifford	clifford	PROPN
ap-965	241	92	algebra	algebra	PROPN
ap-965	241	93	.	.	PUNCT
ap-965	242	1	to	to	PART
ap-965	242	2	be	be	AUX
ap-965	242	3	specific	specific	ADJ
ap-965	242	4	,	,	PUNCT
ap-965	242	5	e.g.	e.g.	ADV
ap-965	242	6	,	,	PUNCT
ap-965	242	7	the6	the6	NOUN
ap-965	242	8	8mod	8mod	NUM
ap-965	242	9	non	non	ADJ
ap-965	242	10	-	-	ADJ
ap-965	242	11	maximal	maximal	ADJ
ap-965	242	12	clifford	clifford	PROPN
ap-965	242	13	algebra	algebra	PROPN
ap-965	242	14	c(6	c(6	PROPN
ap-965	242	15	,	,	PUNCT
ap-965	242	16	0	0	NUM
ap-965	242	17	)	)	PUNCT
ap-965	242	18	is	be	AUX
ap-965	242	19	obtained	obtain	VERB
ap-965	242	20	from	from	ADP
ap-965	242	21	the	the	DET
ap-965	242	22	maximal	maximal	ADJ
ap-965	242	23	clifford	clifford	PROPN
ap-965	242	24	algebra	algebra	PROPN
ap-965	242	25	c(9	c(9	PROPN
ap-965	242	26	,	,	PUNCT
ap-965	242	27	0	0	NUM
ap-965	242	28	)	)	PUNCT
ap-965	242	29	,	,	PUNCT
ap-965	242	30	whose	whose	DET
ap-965	242	31	matrix	matrix	NOUN
ap-965	242	32	size	size	NOUN
ap-965	242	33	is	be	AUX
ap-965	242	34	16	16	NUM
ap-965	242	35	according	accord	VERB
ap-965	242	36	to	to	ADP
ap-965	242	37	(	(	PUNCT
ap-965	242	38	4.33	4.33	NUM
ap-965	242	39	)	)	PUNCT
ap-965	242	40	,	,	PUNCT
ap-965	242	41	by	by	ADP
ap-965	242	42	deleting	delete	VERB
ap-965	242	43	three	three	NUM
ap-965	242	44	gamma	gamma	NOUN
ap-965	242	45	matrices	matrix	NOUN
ap-965	242	46	.	.	PUNCT
ap-965	243	1	to	to	PART
ap-965	243	2	complete	complete	VERB
ap-965	243	3	our	our	PRON
ap-965	243	4	discussion	discussion	NOUN
ap-965	243	5	what	what	PRON
ap-965	243	6	it	it	PRON
ap-965	243	7	remains	remain	VERB
ap-965	243	8	to	to	PART
ap-965	243	9	specify	specify	VERB
ap-965	243	10	the	the	DET
ap-965	243	11	construction	construction	NOUN
ap-965	243	12	of	of	ADP
ap-965	243	13	the	the	DET
ap-965	243	14	primitive	primitive	ADJ
ap-965	243	15	maximal	maximal	ADJ
ap-965	243	16	clifford	clifford	PROPN
ap-965	243	17	algebras	algebras	PROPN
ap-965	243	18	for	for	ADP
ap-965	243	19	both	both	DET
ap-965	243	20	c	c	PROPN
ap-965	243	21	n	n	CCONJ
ap-965	243	22	(	(	PUNCT
ap-965	243	23	,	,	PUNCT
ap-965	243	24	)	)	PUNCT
ap-965	243	25	0	0	NUM
ap-965	243	26	3	3	NUM
ap-965	243	27	8	8	NUM
ap-965	243	28	�	�	PROPN
ap-965	243	29	series	series	NOUN
ap-965	243	30	(	(	PUNCT
ap-965	243	31	which	which	PRON
ap-965	243	32	can	can	AUX
ap-965	243	33	be	be	AUX
ap-965	243	34	named	name	VERB
ap-965	243	35	as	as	ADP
ap-965	243	36	“	"	PUNCT
ap-965	243	37	quaternionic	quaternionic	ADJ
ap-965	243	38	series	series	NOUN
ap-965	243	39	”	"	PUNCT
ap-965	243	40	,	,	PUNCT
ap-965	243	41	due	due	ADP
ap-965	243	42	to	to	ADP
ap-965	243	43	its	its	PRON
ap-965	243	44	connection	connection	NOUN
ap-965	243	45	with	with	ADP
ap-965	243	46	this	this	DET
ap-965	243	47	division	division	NOUN
ap-965	243	48	algebra	algebra	NOUN
ap-965	243	49	,	,	PUNCT
ap-965	243	50	as	as	SCONJ
ap-965	243	51	we	we	PRON
ap-965	243	52	will	will	AUX
ap-965	243	53	see	see	VERB
ap-965	243	54	in	in	ADP
ap-965	243	55	the	the	DET
ap-965	243	56	next	next	ADJ
ap-965	243	57	section	section	NOUN
ap-965	243	58	)	)	PUNCT
ap-965	243	59	,	,	PUNCT
ap-965	243	60	and	and	CCONJ
ap-965	243	61	also	also	ADV
ap-965	243	62	the	the	DET
ap-965	243	63	“	"	PUNCT
ap-965	243	64	octonionic	octonionic	ADJ
ap-965	243	65	”	"	PUNCT
ap-965	243	66	series	series	NOUN
ap-965	243	67	c	c	PROPN
ap-965	243	68	n	n	CCONJ
ap-965	243	69	(	(	PUNCT
ap-965	243	70	,	,	PUNCT
ap-965	243	71	)	)	PUNCT
ap-965	243	72	0	0	NUM
ap-965	243	73	7	7	NUM
ap-965	243	74	8	8	NUM
ap-965	243	75	�	�	PROPN
ap-965	243	76	.	.	PUNCT
ap-965	244	1	the	the	DET
ap-965	244	2	answer	answer	NOUN
ap-965	244	3	can	can	AUX
ap-965	244	4	be	be	AUX
ap-965	244	5	provided	provide	VERB
ap-965	244	6	with	with	ADP
ap-965	244	7	the	the	DET
ap-965	244	8	help	help	NOUN
ap-965	244	9	of	of	ADP
ap-965	244	10	the	the	DET
ap-965	244	11	three	three	NUM
ap-965	244	12	pauli	pauli	PROPN
ap-965	244	13	matrices	matrix	NOUN
ap-965	244	14	(	(	PUNCT
ap-965	244	15	4.32	4.32	NUM
ap-965	244	16	)	)	PUNCT
ap-965	244	17	.	.	PUNCT
ap-965	245	1	we	we	PRON
ap-965	245	2	first	first	ADV
ap-965	245	3	construct	construct	VERB
ap-965	245	4	the	the	DET
ap-965	245	5	4×4	4×4	NUM
ap-965	245	6	matrices	matrix	NOUN
ap-965	245	7	realizing	realize	VERB
ap-965	245	8	the	the	DET
ap-965	245	9	clifford	clifford	PROPN
ap-965	245	10	algebra	algebra	PROPN
ap-965	245	11	c(0	c(0	PROPN
ap-965	245	12	,	,	PUNCT
ap-965	245	13	3	3	NUM
ap-965	245	14	)	)	PUNCT
ap-965	245	15	and	and	CCONJ
ap-965	245	16	the	the	DET
ap-965	245	17	8×8	8×8	NUM
ap-965	245	18	matrices	matrix	NOUN
ap-965	245	19	realizing	realize	VERB
ap-965	245	20	the	the	DET
ap-965	245	21	clifford	clifford	PROPN
ap-965	245	22	algebra	algebra	PROPN
ap-965	245	23	c(0	c(0	PROPN
ap-965	245	24	,	,	PUNCT
ap-965	245	25	7	7	NUM
ap-965	245	26	)	)	PUNCT
ap-965	245	27	.	.	PUNCT
ap-965	246	1	they	they	PRON
ap-965	246	2	are	be	AUX
ap-965	246	3	given	give	VERB
ap-965	246	4	,	,	PUNCT
ap-965	246	5	respectively	respectively	ADV
ap-965	246	6	,	,	PUNCT
ap-965	246	7	by	by	ADP
ap-965	246	8	c	c	PROPN
ap-965	246	9	a	a	DET
ap-965	246	10	a	a	DET
ap-965	246	11	a	a	PRON
ap-965	246	12	(	(	PUNCT
ap-965	246	13	,	,	PUNCT
ap-965	246	14	)	)	PUNCT
ap-965	246	15	,	,	PUNCT
ap-965	246	16	,	,	PUNCT
ap-965	246	17	.	.	PUNCT
ap-965	247	1	0	0	NUM
ap-965	247	2	3	3	NUM
ap-965	247	3	1	1	NUM
ap-965	247	4	2	2	NUM
ap-965	247	5	2	2	NUM
ap-965	247	6	�	�	PROPN
ap-965	247	7	�	�	PROPN
ap-965	247	8	�	�	PROPN
ap-965	247	9	�	�	PROPN
ap-965	247	10	�	�	PROPN
ap-965	247	11	�	�	PROPN
ap-965	247	12	�	�	PROPN
ap-965	247	13	�	�	PROPN
ap-965	247	14	�	�	PROPN
ap-965	247	15	1	1	NUM
ap-965	247	16	(	(	PUNCT
ap-965	247	17	4.36	4.36	NUM
ap-965	247	18	)	)	PUNCT
ap-965	247	19	and	and	CCONJ
ap-965	247	20	c	c	X
ap-965	247	21	a	a	DET
ap-965	247	22	a	a	DET
ap-965	247	23	a	a	DET
ap-965	247	24	a	a	X
ap-965	247	25	(	(	PUNCT
ap-965	247	26	,	,	PUNCT
ap-965	247	27	)	)	PUNCT
ap-965	247	28	,	,	PUNCT
ap-965	247	29	,	,	PUNCT
ap-965	247	30	,	,	PUNCT
ap-965	247	31	,	,	PUNCT
ap-965	247	32	0	0	NUM
ap-965	247	33	7	7	NUM
ap-965	247	34	1	1	NUM
ap-965	247	35	2	2	NUM
ap-965	247	36	2	2	NUM
ap-965	247	37	2	2	NUM
ap-965	247	38	2	2	NUM
ap-965	247	39	1	1	NUM
ap-965	247	40	2	2	NUM
ap-965	247	41	2	2	NUM
ap-965	247	42	1	1	NUM
ap-965	247	43	2	2	NUM
ap-965	247	44	�	�	PROPN
ap-965	247	45	�	�	PROPN
ap-965	247	46	�	�	PROPN
ap-965	247	47	�	�	PROPN
ap-965	247	48	�	�	PROPN
ap-965	247	49	�	�	PROPN
ap-965	247	50	�	�	PROPN
ap-965	247	51	�	�	PROPN
ap-965	247	52	�	�	PROPN
ap-965	247	53	�	�	PROPN
ap-965	247	54	�	�	PROPN
ap-965	247	55	�	�	PROPN
ap-965	247	56	�	�	PROPN
ap-965	247	57	�	�	PROPN
ap-965	247	58	�	�	PROPN
ap-965	247	59	�	�	PROPN
ap-965	247	60	�	�	PROPN
ap-965	247	61	�	�	PROPN
ap-965	247	62	�	�	PROPN
ap-965	247	63	�	�	PROPN
ap-965	247	64	�	�	PROPN
ap-965	247	65	1	1	NUM
ap-965	247	66	1	1	NUM
ap-965	247	67	1	1	NUM
ap-965	247	68	1	1	NUM
ap-965	247	69	1	1	NUM
ap-965	247	70	a	a	DET
ap-965	247	71	a	a	DET
ap-965	247	72	a	a	DET
ap-965	247	73	a	a	DET
ap-965	247	74	a	a	NOUN
ap-965	247	75	,	,	PUNCT
ap-965	247	76	,	,	PUNCT
ap-965	247	77	.	.	PUNCT
ap-965	248	1	�	�	PROPN
ap-965	248	2	�	�	PROPN
ap-965	248	3	�	�	PROPN
ap-965	248	4	�	�	PROPN
ap-965	248	5	�	�	PROPN
ap-965	248	6	2	2	NUM
ap-965	248	7	2	2	NUM
ap-965	248	8	�	�	PROPN
ap-965	248	9	�	�	PROPN
ap-965	248	10	�	�	PROPN
ap-965	248	11	�	�	PROPN
ap-965	248	12	1	1	NUM
ap-965	248	13	(	(	PUNCT
ap-965	248	14	4.37	4.37	NUM
ap-965	248	15	)	)	PUNCT
ap-965	248	16	the	the	DET
ap-965	248	17	three	three	NUM
ap-965	248	18	matrices	matrix	NOUN
ap-965	248	19	of	of	ADP
ap-965	248	20	c(0	c(0	NOUN
ap-965	248	21	,	,	PUNCT
ap-965	248	22	3	3	NUM
ap-965	248	23	)	)	PUNCT
ap-965	248	24	will	will	AUX
ap-965	248	25	be	be	AUX
ap-965	248	26	denoted	denote	VERB
ap-965	248	27	as	as	ADP
ap-965	248	28	�	�	PROPN
ap-965	248	29	i	i	PRON
ap-965	248	30	�	�	VERB
ap-965	248	31	1	1	NUM
ap-965	248	32	2	2	NUM
ap-965	248	33	3	3	NUM
ap-965	248	34	,	,	PUNCT
ap-965	248	35	,	,	PUNCT
ap-965	248	36	.	.	PUNCT
ap-965	249	1	the	the	DET
ap-965	249	2	seven	seven	NUM
ap-965	249	3	matrices	matrix	NOUN
ap-965	249	4	of	of	ADP
ap-965	249	5	c(0	c(0	NOUN
ap-965	249	6	,	,	PUNCT
ap-965	249	7	7	7	NUM
ap-965	249	8	)	)	PUNCT
ap-965	249	9	will	will	AUX
ap-965	249	10	be	be	AUX
ap-965	249	11	denoted	denote	VERB
ap-965	249	12	as~	as~	PROPN
ap-965	249	13	,	,	PUNCT
ap-965	249	14	,	,	PUNCT
ap-965	249	15	,	,	PUNCT
ap-965	249	16	�	�	PROPN
ap-965	249	17	i	i	PRON
ap-965	249	18	�	�	VERB
ap-965	249	19	1	1	NUM
ap-965	249	20	2	2	NUM
ap-965	249	21	7	7	NUM
ap-965	249	22	�	�	PROPN
ap-965	249	23	.	.	PUNCT
ap-965	250	1	in	in	ADP
ap-965	250	2	order	order	NOUN
ap-965	250	3	to	to	PART
ap-965	250	4	construct	construct	VERB
ap-965	250	5	the	the	DET
ap-965	250	6	remaining	remain	VERB
ap-965	250	7	clifford	clifford	PROPN
ap-965	250	8	algebras	algebra	NOUN
ap-965	250	9	of	of	ADP
ap-965	250	10	the	the	DET
ap-965	250	11	two	two	NUM
ap-965	250	12	series	series	NOUN
ap-965	250	13	we	we	PRON
ap-965	250	14	first	first	ADV
ap-965	250	15	need	need	VERB
ap-965	250	16	to	to	PART
ap-965	250	17	apply	apply	VERB
ap-965	250	18	the	the	DET
ap-965	250	19	(	(	PUNCT
ap-965	250	20	4.30	4.30	NUM
ap-965	250	21	)	)	PUNCT
ap-965	250	22	algorithm	algorithm	NOUN
ap-965	250	23	to	to	ADP
ap-965	250	24	c(0	c(0	PROPN
ap-965	250	25	,	,	PUNCT
ap-965	250	26	7	7	NUM
ap-965	250	27	)	)	PUNCT
ap-965	250	28	and	and	CCONJ
ap-965	250	29	construct	construct	VERB
ap-965	250	30	the	the	DET
ap-965	250	31	16×16	16×16	NUM
ap-965	250	32	matrices	matrix	NOUN
ap-965	250	33	realizing	realize	VERB
ap-965	250	34	c(1	c(1	NOUN
ap-965	250	35	,	,	PUNCT
ap-965	250	36	8)	8)	NUM
ap-965	250	37	(	(	PUNCT
ap-965	250	38	the	the	DET
ap-965	250	39	matrix	matrix	NOUN
ap-965	250	40	with	with	ADP
ap-965	250	41	a	a	DET
ap-965	250	42	positive	positive	ADJ
ap-965	250	43	signature	signature	NOUN
ap-965	250	44	is	be	AUX
ap-965	250	45	denoted	denote	VERB
ap-965	250	46	as	as	ADP
ap-965	250	47	�	�	NOUN
ap-965	250	48	9	9	NUM
ap-965	250	49	,	,	PUNCT
ap-965	250	50	�	�	NOUN
ap-965	250	51	9	9	NUM
ap-965	250	52	2	2	NUM
ap-965	250	53	�	�	NOUN
ap-965	250	54	1	1	NUM
ap-965	250	55	,	,	PUNCT
ap-965	250	56	while	while	SCONJ
ap-965	250	57	the	the	DET
ap-965	250	58	eight	eight	NUM
ap-965	250	59	matrices	matrix	NOUN
ap-965	250	60	with	with	ADP
ap-965	250	61	negative	negative	ADJ
ap-965	250	62	signatures	signature	NOUN
ap-965	250	63	are	be	AUX
ap-965	250	64	denoted	denote	VERB
ap-965	250	65	as	as	ADP
ap-965	250	66	�	�	PROPN
ap-965	250	67	j	j	PROPN
ap-965	250	68	,	,	PUNCT
ap-965	250	69	j	j	PROPN
ap-965	250	70	�	�	PROPN
ap-965	250	71	1	1	NUM
ap-965	250	72	2	2	NUM
ap-965	250	73	8	8	NUM
ap-965	250	74	,	,	PUNCT
ap-965	250	75	,	,	PUNCT
ap-965	250	76	,	,	PUNCT
ap-965	250	77	�	�	PROPN
ap-965	250	78	,	,	PUNCT
ap-965	250	79	with	with	ADP
ap-965	250	80	�	�	PROPN
ap-965	250	81	j	j	PROPN
ap-965	250	82	2	2	NUM
ap-965	250	83	�	�	PROPN
ap-965	250	84	�	�	PROPN
ap-965	250	85	1	1	NUM
ap-965	250	86	)	)	PUNCT
ap-965	250	87	.	.	PUNCT
ap-965	251	1	we	we	PRON
ap-965	251	2	are	be	AUX
ap-965	251	3	now	now	ADV
ap-965	251	4	in	in	ADP
ap-965	251	5	the	the	DET
ap-965	251	6	position	position	NOUN
ap-965	251	7	to	to	PART
ap-965	251	8	explicitly	explicitly	ADV
ap-965	251	9	construct	construct	VERB
ap-965	251	10	the	the	DET
ap-965	251	11	whole	whole	ADJ
ap-965	251	12	series	series	NOUN
ap-965	251	13	of	of	ADP
ap-965	251	14	primitive	primitive	ADJ
ap-965	251	15	maximal	maximal	ADJ
ap-965	251	16	clifford	clifford	PROPN
ap-965	251	17	algebras	algebras	PROPN
ap-965	251	18	c	c	PROPN
ap-965	251	19	n	n	CCONJ
ap-965	251	20	(	(	PUNCT
ap-965	251	21	,	,	PUNCT
ap-965	251	22	)	)	PUNCT
ap-965	251	23	0	0	NUM
ap-965	251	24	3	3	NUM
ap-965	251	25	8	8	NUM
ap-965	251	26	�	�	PROPN
ap-965	251	27	,	,	PUNCT
ap-965	251	28	c	c	PROPN
ap-965	251	29	n	n	CCONJ
ap-965	251	30	(	(	PUNCT
ap-965	251	31	,	,	PUNCT
ap-965	251	32	)	)	PUNCT
ap-965	251	33	0	0	NUM
ap-965	251	34	7	7	NUM
ap-965	251	35	8	8	NUM
ap-965	251	36	�	�	NOUN
ap-965	251	37	through	through	ADP
ap-965	251	38	the	the	DET
ap-965	251	39	formulas	formula	NOUN
ap-965	251	40	c	c	NOUN
ap-965	251	41	n	n	INTJ
ap-965	252	1	i	i	PRON
ap-965	252	2	j	j	PROPN
ap-965	252	3	j	j	PROPN
ap-965	252	4	(	(	PUNCT
ap-965	252	5	,	,	PUNCT
ap-965	252	6	)	)	PUNCT
ap-965	252	7	0	0	NUM
ap-965	252	8	3	3	NUM
ap-965	252	9	8	8	NUM
ap-965	252	10	9	9	NUM
ap-965	252	11	4	4	NUM
ap-965	252	12	16	16	NUM
ap-965	252	13	4	4	NUM
ap-965	252	14	9	9	NUM
ap-965	252	15	16	16	NUM
ap-965	252	16	4	4	NUM
ap-965	252	17	9	9	NUM
ap-965	252	18	9	9	NUM
ap-965	252	19	�	�	PROPN
ap-965	252	20	�	�	PROPN
ap-965	252	21	�	�	PROPN
ap-965	252	22	�	�	PROPN
ap-965	252	23	�	�	PROPN
ap-965	252	24	�	�	PROPN
ap-965	252	25	�	�	PROPN
ap-965	252	26	�	�	PROPN
ap-965	252	27	�	�	PROPN
ap-965	252	28	�	�	PROPN
ap-965	252	29	�	�	PROPN
ap-965	252	30	�	�	PROPN
ap-965	252	31	�	�	PROPN
ap-965	252	32	�	�	PROPN
ap-965	252	33	�	�	PROPN
ap-965	252	34	�	�	PROPN
ap-965	252	35	�	�	PROPN
ap-965	252	36	�	�	PROPN
ap-965	252	37	�	�	PROPN
ap-965	252	38	�	�	PROPN
ap-965	252	39	�	�	PROPN
ap-965	252	40	�	�	PROPN
ap-965	252	41	�	�	PROPN
ap-965	252	42	1	1	NUM
ap-965	252	43	1	1	NUM
ap-965	252	44	1	1	NUM
ap-965	252	45	1	1	NUM
ap-965	252	46	1	1	NUM
ap-965	252	47	�	�	PROPN
ap-965	252	48	�	�	PROPN
ap-965	252	49	�	�	PROPN
ap-965	252	50	�	�	PROPN
ap-965	252	51	�	�	PROPN
ap-965	252	52	�	�	PROPN
ap-965	252	53	�	�	PROPN
ap-965	252	54	�	�	PROPN
ap-965	252	55	�	�	PROPN
ap-965	252	56	�	�	PROPN
ap-965	252	57	�	�	PROPN
ap-965	252	58	�	�	PROPN
ap-965	252	59	�	�	PROPN
ap-965	252	60	�	�	PROPN
ap-965	252	61	�	�	PROPN
ap-965	252	62	�	�	PROPN
ap-965	252	63	j	j	PROPN
ap-965	252	64	j	j	PROPN
ap-965	252	65	1	1	NUM
ap-965	252	66	1	1	NUM
ap-965	252	67	1	1	NUM
ap-965	252	68	1	1	NUM
ap-965	252	69	116	116	NUM
ap-965	252	70	4	4	NUM
ap-965	252	71	9	9	NUM
ap-965	252	72	9	9	NUM
ap-965	252	73	16	16	NUM
ap-965	252	74	16	16	NUM
ap-965	252	75	16	16	NUM
ap-965	252	76	9	9	NUM
ap-965	252	77	�	�	PROPN
ap-965	252	78	�	�	PROPN
ap-965	252	79	�	�	PROPN
ap-965	252	80	�	�	PROPN
ap-965	252	81	�	�	PROPN
ap-965	252	82	�	�	PROPN
ap-965	252	83	�	�	PROPN
ap-965	252	84	�	�	PROPN
ap-965	252	85	�	�	PROPN
ap-965	252	86	�	�	PROPN
ap-965	252	87	,	,	PUNCT
ap-965	252	88	,	,	PUNCT
ap-965	252	89	,	,	PUNCT
ap-965	252	90	,	,	PUNCT
ap-965	252	91	,	,	PUNCT
ap-965	252	92	,	,	PUNCT
ap-965	252	93	(	(	PUNCT
ap-965	252	94	4.38	4.38	NUM
ap-965	252	95	)	)	PUNCT
ap-965	252	96	and	and	CCONJ
ap-965	252	97	similarly	similarly	ADV
ap-965	252	98	c	c	VERB
ap-965	253	1	n	n	PRON
ap-965	254	1	i	i	PRON
ap-965	254	2	j	j	PROPN
ap-965	254	3	j	j	PROPN
ap-965	254	4	(	(	PUNCT
ap-965	254	5	,	,	PUNCT
ap-965	254	6	)	)	PUNCT
ap-965	254	7	~	~	PUNCT
ap-965	254	8	0	0	NUM
ap-965	254	9	7	7	NUM
ap-965	254	10	8	8	NUM
ap-965	254	11	9	9	NUM
ap-965	254	12	8	8	NUM
ap-965	254	13	16	16	NUM
ap-965	254	14	8	8	NUM
ap-965	254	15	9	9	NUM
ap-965	254	16	16	16	NUM
ap-965	254	17	8	8	NUM
ap-965	254	18	9	9	NUM
ap-965	254	19	�	�	PROPN
ap-965	254	20	�	�	PROPN
ap-965	254	21	�	�	PROPN
ap-965	254	22	�	�	PROPN
ap-965	254	23	�	�	PROPN
ap-965	254	24	�	�	PROPN
ap-965	254	25	�	�	PROPN
ap-965	254	26	�	�	PROPN
ap-965	254	27	�	�	PROPN
ap-965	254	28	�	�	PROPN
ap-965	254	29	�	�	PROPN
ap-965	254	30	�	�	PROPN
ap-965	254	31	�	�	PROPN
ap-965	254	32	�	�	PROPN
ap-965	254	33	�	�	PROPN
ap-965	254	34	�	�	PROPN
ap-965	254	35	�	�	PROPN
ap-965	254	36	�	�	PROPN
ap-965	254	37	�	�	PROPN
ap-965	254	38	�	�	PROPN
ap-965	254	39	�	�	PROPN
ap-965	254	40	�	�	PROPN
ap-965	254	41	�	�	PROPN
ap-965	254	42	1	1	NUM
ap-965	254	43	1	1	NUM
ap-965	254	44	1	1	NUM
ap-965	254	45	1	1	NUM
ap-965	254	46	1	1	NUM
ap-965	254	47	9	9	NUM
ap-965	254	48	16	16	NUM
ap-965	254	49	8	8	NUM
ap-965	254	50	9	9	NUM
ap-965	254	51	9	9	NUM
ap-965	254	52	16	16	NUM
ap-965	254	53	16	16	NUM
ap-965	254	54	16	16	NUM
ap-965	254	55	9	9	NUM
ap-965	254	56	�	�	PROPN
ap-965	254	57	�	�	PROPN
ap-965	254	58	�	�	PROPN
ap-965	254	59	�	�	PROPN
ap-965	254	60	�	�	PROPN
ap-965	254	61	�	�	PROPN
ap-965	254	62	�	�	PROPN
ap-965	254	63	�	�	PROPN
ap-965	254	64	�	�	PROPN
ap-965	254	65	�	�	PROPN
ap-965	254	66	�	�	PROPN
ap-965	254	67	�	�	PROPN
ap-965	254	68	�	�	PROPN
ap-965	254	69	�	�	PROPN
ap-965	254	70	�	�	PROPN
ap-965	254	71	�	�	PROPN
ap-965	254	72	j	j	PROPN
ap-965	254	73	1	1	NUM
ap-965	254	74	1	1	NUM
ap-965	254	75	1	1	NUM
ap-965	254	76	1	1	NUM
ap-965	254	77	1	1	NUM
ap-965	254	78	�	�	PROPN
ap-965	254	79	�	�	PROPN
ap-965	254	80	�	�	PROPN
ap-965	254	81	�	�	PROPN
ap-965	254	82	�	�	PROPN
ap-965	254	83	�	�	PROPN
ap-965	254	84	�	�	PROPN
ap-965	254	85	�	�	PROPN
ap-965	254	86	�	�	PROPN
ap-965	254	87	�	�	PROPN
ap-965	254	88	,	,	PUNCT
ap-965	254	89	,	,	PUNCT
ap-965	254	90	,	,	PUNCT
ap-965	254	91	,	,	PUNCT
ap-965	254	92	,	,	PUNCT
ap-965	254	93	j	j	PROPN
ap-965	254	94	.	.	PUNCT
ap-965	255	1	(	(	PUNCT
ap-965	255	2	4.39	4.39	X
ap-965	255	3	)	)	PUNCT
ap-965	255	4	please	please	INTJ
ap-965	255	5	note	note	VERB
ap-965	255	6	that	that	SCONJ
ap-965	255	7	the	the	DET
ap-965	255	8	tensor	tensor	NOUN
ap-965	255	9	product	product	NOUN
ap-965	255	10	of	of	ADP
ap-965	255	11	the	the	DET
ap-965	255	12	16	16	NUM
ap-965	255	13	-	-	PUNCT
ap-965	255	14	dimensional	dimensional	ADJ
ap-965	255	15	representation	representation	NOUN
ap-965	255	16	is	be	AUX
ap-965	255	17	taken	take	VERB
ap-965	255	18	n	n	DET
ap-965	255	19	times	time	NOUN
ap-965	255	20	.	.	PUNCT
ap-965	256	1	the	the	DET
ap-965	256	2	total	total	ADJ
ap-965	256	3	size	size	NOUN
ap-965	256	4	of	of	ADP
ap-965	256	5	the	the	DET
ap-965	256	6	(	(	PUNCT
ap-965	256	7	4.38	4.38	NUM
ap-965	256	8	)	)	PUNCT
ap-965	256	9	matrix	matrix	NOUN
ap-965	256	10	representations	representation	NOUN
ap-965	256	11	is	be	AUX
ap-965	256	12	then	then	ADV
ap-965	256	13	4×16n	4×16n	NUM
ap-965	256	14	,	,	PUNCT
ap-965	256	15	while	while	SCONJ
ap-965	256	16	the	the	DET
ap-965	256	17	total	total	ADJ
ap-965	256	18	size	size	NOUN
ap-965	256	19	of	of	ADP
ap-965	256	20	(	(	PUNCT
ap-965	256	21	4.39	4.39	NUM
ap-965	256	22	)	)	PUNCT
ap-965	256	23	is	be	AUX
ap-965	256	24	8×16n	8×16n	NOUN
ap-965	256	25	.	.	PUNCT
ap-965	257	1	with	with	ADP
ap-965	257	2	the	the	DET
ap-965	257	3	help	help	NOUN
ap-965	257	4	of	of	ADP
ap-965	257	5	the	the	DET
ap-965	257	6	formulas	formula	NOUN
ap-965	257	7	presented	present	VERB
ap-965	257	8	in	in	ADP
ap-965	257	9	this	this	DET
ap-965	257	10	section	section	NOUN
ap-965	257	11	we	we	PRON
ap-965	257	12	are	be	AUX
ap-965	257	13	able	able	ADJ
ap-965	257	14	to	to	PART
ap-965	257	15	systematically	systematically	ADV
ap-965	257	16	construct	construct	VERB
ap-965	257	17	a	a	DET
ap-965	257	18	set	set	NOUN
ap-965	257	19	of	of	ADP
ap-965	257	20	representatives	representative	NOUN
ap-965	257	21	of	of	ADP
ap-965	257	22	the	the	DET
ap-965	257	23	real	real	ADJ
ap-965	257	24	irreducible	irreducible	ADJ
ap-965	257	25	representations	representation	NOUN
ap-965	257	26	of	of	ADP
ap-965	257	27	clifford	clifford	PROPN
ap-965	257	28	algebras	algebras	PROPN
ap-965	257	29	in	in	ADP
ap-965	257	30	arbitrary	arbitrary	ADJ
ap-965	257	31	space	space	NOUN
ap-965	257	32	-	-	PUNCT
ap-965	257	33	times	time	NOUN
ap-965	257	34	and	and	CCONJ
ap-965	257	35	signatures	signature	NOUN
ap-965	257	36	.	.	PUNCT
ap-965	258	1	it	it	PRON
ap-965	258	2	is	be	AUX
ap-965	258	3	also	also	ADV
ap-965	258	4	convenient	convenient	ADJ
ap-965	258	5	to	to	PART
ap-965	258	6	explicitly	explicitly	ADV
ap-965	258	7	present	present	ADJ
ap-965	258	8	of	of	ADP
ap-965	258	9	clifford	clifford	PROPN
ap-965	258	10	algebras	algebras	PROPN
ap-965	258	11	with	with	ADP
ap-965	258	12	the	the	DET
ap-965	258	13	division	division	NOUN
ap-965	258	14	algebras	algebra	NOUN
ap-965	258	15	of	of	ADP
ap-965	258	16	the	the	DET
ap-965	258	17	quaternions	quaternion	NOUN
ap-965	258	18	(	(	PUNCT
ap-965	258	19	and	and	CCONJ
ap-965	258	20	of	of	ADP
ap-965	258	21	the	the	DET
ap-965	258	22	octonions	octonion	NOUN
ap-965	258	23	)	)	PUNCT
ap-965	258	24	.	.	PUNCT
ap-965	259	1	this	this	DET
ap-965	259	2	relation	relation	NOUN
ap-965	259	3	can	can	AUX
ap-965	259	4	be	be	AUX
ap-965	259	5	understood	understand	VERB
ap-965	259	6	as	as	SCONJ
ap-965	259	7	follows	follow	VERB
ap-965	259	8	.	.	PUNCT
ap-965	260	1	first	first	ADV
ap-965	260	2	we	we	PRON
ap-965	260	3	note	note	VERB
ap-965	260	4	that	that	SCONJ
ap-965	260	5	the	the	DET
ap-965	260	6	three	three	NUM
ap-965	260	7	matrices	matrix	NOUN
ap-965	260	8	appearing	appear	VERB
ap-965	260	9	in	in	ADP
ap-965	260	10	c(0	c(0	NOUN
ap-965	260	11	,	,	PUNCT
ap-965	260	12	3	3	NUM
ap-965	260	13	)	)	PUNCT
ap-965	260	14	can	can	AUX
ap-965	260	15	also	also	ADV
ap-965	260	16	be	be	AUX
ap-965	260	17	expressed	express	VERB
ap-965	260	18	in	in	ADP
ap-965	260	19	terms	term	NOUN
ap-965	260	20	of	of	ADP
ap-965	260	21	the	the	DET
ap-965	260	22	imaginary	imaginary	ADJ
ap-965	260	23	quaternions	quaternion	NOUN
ap-965	261	1	�	�	PROPN
ap-965	261	2	i	i	PRON
ap-965	261	3	satisfying	satisfy	VERB
ap-965	261	4	�	�	PROPN
ap-965	261	5	�	�	PROPN
ap-965	262	1	i	i	PRON
ap-965	262	2	j	j	PROPN
ap-965	262	3	ij	ij	INTJ
ap-965	262	4	�	�	PROPN
ap-965	262	5	�	�	PROPN
ap-965	262	6	�	�	PROPN
ap-965	262	7	�	�	PROPN
ap-965	262	8	�	�	PROPN
ap-965	262	9	ijk	ijk	PROPN
ap-965	262	10	�	�	PROPN
ap-965	262	11	k	k	PROPN
ap-965	262	12	.	.	PUNCT
ap-965	263	1	(	(	PUNCT
ap-965	263	2	4.40	4.40	NUM
ap-965	263	3	)	)	PUNCT
ap-965	263	4	as	as	ADP
ap-965	263	5	a	a	DET
ap-965	263	6	consequence	consequence	NOUN
ap-965	263	7	,	,	PUNCT
ap-965	263	8	the	the	DET
ap-965	263	9	whole	whole	ADJ
ap-965	263	10	set	set	NOUN
ap-965	263	11	of	of	ADP
ap-965	263	12	maximal	maximal	ADJ
ap-965	263	13	primitive	primitive	ADJ
ap-965	263	14	clifford	clifford	PROPN
ap-965	263	15	algebras	algebras	PROPN
ap-965	263	16	c	c	PROPN
ap-965	263	17	n	n	CCONJ
ap-965	263	18	(	(	PUNCT
ap-965	263	19	,	,	PUNCT
ap-965	263	20	)	)	PUNCT
ap-965	263	21	0	0	NUM
ap-965	263	22	3	3	NUM
ap-965	263	23	8	8	NUM
ap-965	263	24	�	�	PROPN
ap-965	263	25	,	,	PUNCT
ap-965	263	26	as	as	ADV
ap-965	263	27	well	well	ADV
ap-965	263	28	as	as	ADP
ap-965	263	29	their	their	PRON
ap-965	263	30	maximal	maximal	ADJ
ap-965	263	31	descendants	descendant	NOUN
ap-965	263	32	,	,	PUNCT
ap-965	263	33	can	can	AUX
ap-965	263	34	be	be	AUX
ap-965	263	35	represented	represent	VERB
ap-965	263	36	with	with	ADP
ap-965	263	37	quaternionic	quaternionic	ADV
ap-965	263	38	-	-	PUNCT
ap-965	263	39	valued	value	VERB
ap-965	263	40	matrices	matrix	NOUN
ap-965	263	41	.	.	PUNCT
ap-965	264	1	in	in	ADP
ap-965	264	2	its	its	PRON
ap-965	264	3	turn	turn	NOUN
ap-965	264	4	the	the	DET
ap-965	264	5	spinors	spinor	NOUN
ap-965	264	6	now	now	ADV
ap-965	264	7	have	have	VERB
ap-965	264	8	to	to	PART
ap-965	264	9	be	be	AUX
ap-965	264	10	interpreted	interpret	VERB
ap-965	264	11	as	as	ADP
ap-965	264	12	quaternionic	quaternionic	ADV
ap-965	264	13	-	-	PUNCT
ap-965	264	14	valued	value	VERB
ap-965	264	15	column	column	NOUN
ap-965	264	16	vectors	vector	NOUN
ap-965	264	17	.	.	PUNCT
ap-965	265	1	similarly	similarly	ADV
ap-965	265	2	,	,	PUNCT
ap-965	265	3	there	there	PRON
ap-965	265	4	exists	exist	VERB
ap-965	265	5	an	an	DET
ap-965	265	6	alternative	alternative	ADJ
ap-965	265	7	realization	realization	NOUN
ap-965	265	8	of	of	ADP
ap-965	265	9	the	the	DET
ap-965	265	10	basic	basic	ADJ
ap-965	265	11	relations	relation	NOUN
ap-965	265	12	of	of	ADP
ap-965	265	13	the	the	DET
ap-965	265	14	generators	generator	NOUN
ap-965	265	15	of	of	ADP
ap-965	265	16	the	the	DET
ap-965	265	17	euclidean	euclidean	ADJ
ap-965	265	18	clifford	clifford	PROPN
ap-965	265	19	algebra	algebra	PROPN
ap-965	265	20	,	,	PUNCT
ap-965	265	21	obtained	obtain	VERB
ap-965	265	22	by	by	ADP
ap-965	265	23	identifying	identify	VERB
ap-965	265	24	its	its	PRON
ap-965	265	25	seven	seven	NUM
ap-965	265	26	generators	generator	NOUN
ap-965	265	27	with	with	ADP
ap-965	265	28	the	the	DET
ap-965	265	29	seven	seven	NUM
ap-965	265	30	imaginary	imaginary	ADJ
ap-965	265	31	octonions	octonion	NOUN
ap-965	265	32	(	(	PUNCT
ap-965	265	33	for	for	ADP
ap-965	265	34	a	a	DET
ap-965	265	35	review	review	NOUN
ap-965	265	36	on	on	ADP
ap-965	265	37	octonions	octonion	NOUN
ap-965	265	38	see	see	VERB
ap-965	265	39	e.g.	e.g.	ADV
ap-965	265	40	[	[	X
ap-965	265	41	24	24	NUM
ap-965	265	42	]	]	PUNCT
ap-965	265	43	)	)	PUNCT
ap-965	265	44	satisfying	satisfy	VERB
ap-965	265	45	the	the	DET
ap-965	265	46	algebraic	algebraic	PROPN
ap-965	265	47	relation	relation	PROPN
ap-965	265	48	�	�	PROPN
ap-965	265	49	�	�	PROPN
ap-965	265	50	�	�	PROPN
ap-965	265	51	i	i	PRON
ap-965	265	52	j	j	PROPN
ap-965	265	53	ij	ij	INTJ
ap-965	265	54	ijk	ijk	PROPN
ap-965	265	55	kc	kc	PROPN
ap-965	265	56	�	�	PROPN
ap-965	265	57	�	�	PROPN
ap-965	265	58	�	�	PROPN
ap-965	265	59	�	�	PROPN
ap-965	265	60	(	(	PUNCT
ap-965	265	61	4.41	4.41	NUM
ap-965	265	62	)	)	PUNCT
ap-965	265	63	for	for	ADP
ap-965	265	64	i	i	PRON
ap-965	265	65	j	j	PROPN
ap-965	265	66	k	k	NOUN
ap-965	265	67	,	,	PUNCT
ap-965	265	68	,	,	PUNCT
ap-965	265	69	,	,	PUNCT
ap-965	265	70	,	,	PUNCT
ap-965	265	71	�	�	PROPN
ap-965	265	72	1	1	NUM
ap-965	265	73	7	7	NUM
ap-965	265	74	�	�	PROPN
ap-965	265	75	and	and	CCONJ
ap-965	265	76	cijk	cijk	NOUN
ap-965	265	77	the	the	DET
ap-965	265	78	totally	totally	ADV
ap-965	265	79	antisymmetric	antisymmetric	ADJ
ap-965	265	80	octonionic	octonionic	ADJ
ap-965	265	81	structure	structure	NOUN
ap-965	265	82	constants	constant	NOUN
ap-965	265	83	given	give	VERB
ap-965	265	84	by	by	ADP
ap-965	265	85	c	c	PROPN
ap-965	265	86	c	c	NOUN
ap-965	265	87	c	c	NOUN
ap-965	265	88	c	c	NOUN
ap-965	265	89	c	c	NOUN
ap-965	265	90	c	c	PROPN
ap-965	265	91	c123	c123	PROPN
ap-965	265	92	147	147	NUM
ap-965	265	93	165	165	NUM
ap-965	265	94	246	246	NUM
ap-965	265	95	257	257	NUM
ap-965	265	96	354	354	NUM
ap-965	265	97	367	367	NUM
ap-965	265	98	1	1	NUM
ap-965	265	99	�	�	PROPN
ap-965	265	100	�	�	PROPN
ap-965	265	101	�	�	PROPN
ap-965	265	102	�	�	PROPN
ap-965	265	103	�	�	PROPN
ap-965	265	104	�	�	PROPN
ap-965	265	105	�	�	PROPN
ap-965	265	106	(	(	PUNCT
ap-965	265	107	4.42	4.42	NUM
ap-965	265	108	)	)	PUNCT
ap-965	265	109	©	©	PROPN
ap-965	265	110	czech	czech	PROPN
ap-965	265	111	technical	technical	PROPN
ap-965	265	112	university	university	PROPN
ap-965	265	113	publishing	publishing	NOUN
ap-965	265	114	house	house	NOUN
ap-965	265	115	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	265	116	65	65	NUM
ap-965	265	117	acta	acta	PROPN
ap-965	265	118	polytechnica	polytechnica	PROPN
ap-965	265	119	vol	vol	NOUN
ap-965	265	120	.	.	PUNCT
ap-965	266	1	48	48	NUM
ap-965	266	2	no	no	NOUN
ap-965	266	3	.	.	PUNCT
ap-965	267	1	2/2008	2/2008	NOUN
ap-965	267	2	and	and	CCONJ
ap-965	267	3	vanishing	vanish	VERB
ap-965	267	4	otherwise	otherwise	ADV
ap-965	267	5	.	.	PUNCT
ap-965	268	1	the	the	DET
ap-965	268	2	octonions	octonion	NOUN
ap-965	268	3	are	be	AUX
ap-965	268	4	non	non	ADJ
ap-965	268	5	-	-	ADJ
ap-965	268	6	associative	associative	ADJ
ap-965	268	7	and	and	CCONJ
ap-965	268	8	can	can	AUX
ap-965	268	9	not	not	PART
ap-965	268	10	be	be	AUX
ap-965	268	11	represented	represent	VERB
ap-965	268	12	in	in	ADP
ap-965	268	13	matrix	matrix	NOUN
ap-965	268	14	form	form	NOUN
ap-965	268	15	with	with	ADP
ap-965	268	16	the	the	DET
ap-965	268	17	usual	usual	ADJ
ap-965	268	18	matrix	matrix	NOUN
ap-965	268	19	multiplication	multiplication	NOUN
ap-965	268	20	.	.	PUNCT
ap-965	269	1	on	on	ADP
ap-965	269	2	the	the	DET
ap-965	269	3	other	other	ADJ
ap-965	269	4	hand	hand	NOUN
ap-965	269	5	,	,	PUNCT
ap-965	269	6	a	a	DET
ap-965	269	7	construction	construction	NOUN
ap-965	269	8	due	due	ADP
ap-965	269	9	to	to	ADP
ap-965	269	10	dixon	dixon	PROPN
ap-965	269	11	allows	allow	VERB
ap-965	269	12	us	we	PRON
ap-965	269	13	to	to	PART
ap-965	269	14	produce	produce	VERB
ap-965	269	15	the	the	DET
ap-965	269	16	seven	seven	NUM
ap-965	269	17	8×8	8×8	NUM
ap-965	269	18	matrix	matrix	NOUN
ap-965	269	19	generators	generator	NOUN
ap-965	269	20	of	of	ADP
ap-965	269	21	the	the	DET
ap-965	269	22	c(0	c(0	NOUN
ap-965	269	23	,	,	PUNCT
ap-965	269	24	7	7	X
ap-965	269	25	)	)	PUNCT
ap-965	269	26	clifford	clifford	PROPN
ap-965	269	27	algebras	algebras	PROPN
ap-965	269	28	in	in	ADP
ap-965	269	29	terms	term	NOUN
ap-965	269	30	of	of	ADP
ap-965	269	31	the	the	DET
ap-965	269	32	octonionic	octonionic	ADJ
ap-965	269	33	structure	structure	NOUN
ap-965	269	34	constants	constant	NOUN
ap-965	269	35	.	.	PUNCT
ap-965	270	1	given	give	VERB
ap-965	270	2	a	a	DET
ap-965	270	3	real	real	ADJ
ap-965	270	4	octonion	octonion	NOUN
ap-965	270	5	x	x	NOUN
ap-965	270	6	x	x	X
ap-965	270	7	xi	xi	PROPN
ap-965	270	8	ii	ii	PROPN
ap-965	270	9	�	�	PROPN
ap-965	270	10	�	�	PROPN
ap-965	270	11	�	�	PROPN
ap-965	270	12	0	0	NUM
ap-965	270	13	�	�	PROPN
ap-965	270	14	,	,	PUNCT
ap-965	270	15	with	with	ADP
ap-965	270	16	real	real	ADJ
ap-965	270	17	coefficients	coefficient	NOUN
ap-965	270	18	x0	x0	PROPN
ap-965	270	19	,	,	PUNCT
ap-965	270	20	xi	xi	PROPN
ap-965	270	21	,	,	PUNCT
ap-965	270	22	for	for	ADP
ap-965	270	23	i	i	PRON
ap-965	270	24	�	�	PROPN
ap-965	270	25	1	1	NUM
ap-965	270	26	7	7	NUM
ap-965	270	27	,	,	PUNCT
ap-965	270	28	,	,	PUNCT
ap-965	270	29	�	�	PROPN
ap-965	270	30	,	,	PUNCT
ap-965	270	31	the	the	DET
ap-965	270	32	left	left	ADJ
ap-965	270	33	action	action	NOUN
ap-965	270	34	of	of	ADP
ap-965	270	35	the	the	DET
ap-965	270	36	imaginary	imaginary	ADJ
ap-965	270	37	octonions	octonions	PROPN
ap-965	270	38	�	�	PROPN
ap-965	270	39	i	i	PRON
ap-965	270	40	(	(	PUNCT
ap-965	270	41	�	�	PROPN
ap-965	270	42	�	�	PROPN
ap-965	270	43	�	�	PROPN
ap-965	270	44	x	x	SYM
ap-965	270	45	xi	xi	PROPN
ap-965	270	46	�	�	PROPN
ap-965	270	47	)	)	PUNCT
ap-965	270	48	is	be	AUX
ap-965	270	49	reproduced	reproduce	VERB
ap-965	270	50	in	in	ADP
ap-965	270	51	terms	term	NOUN
ap-965	270	52	of	of	ADP
ap-965	270	53	the	the	DET
ap-965	270	54	8×8	8×8	PROPN
ap-965	270	55	clifford	clifford	PROPN
ap-965	270	56	gamma	gamma	PROPN
ap-965	270	57	matrix	matrix	PROPN
ap-965	270	58	�	�	PROPN
ap-965	270	59	i	i	PRON
ap-965	270	60	,	,	PUNCT
ap-965	270	61	linearly	linearly	ADV
ap-965	270	62	acting	act	VERB
ap-965	270	63	on	on	ADP
ap-965	270	64	x0	x0	PROPN
ap-965	270	65	,	,	PUNCT
ap-965	270	66	xi	xi	ADP
ap-965	270	67	’s	’s	NOUN
ap-965	270	68	.	.	PUNCT
ap-965	271	1	5	5	NUM
ap-965	271	2	the	the	DET
ap-965	271	3	field	field	NOUN
ap-965	271	4	content	content	NOUN
ap-965	271	5	of	of	ADP
ap-965	271	6	irreducible	irreducible	ADJ
ap-965	271	7	representations	representation	NOUN
ap-965	271	8	it	it	PRON
ap-965	271	9	is	be	AUX
ap-965	271	10	now	now	ADV
ap-965	271	11	possible	possible	ADJ
ap-965	271	12	to	to	PART
ap-965	271	13	plug	plug	VERB
ap-965	271	14	the	the	DET
ap-965	271	15	information	information	NOUN
ap-965	271	16	contained	contain	VERB
ap-965	271	17	in	in	ADP
ap-965	271	18	clifford	clifford	PROPN
ap-965	271	19	algebras	algebras	PROPN
ap-965	271	20	and	and	CCONJ
ap-965	271	21	apply	apply	VERB
ap-965	271	22	the	the	DET
ap-965	271	23	construction	construction	NOUN
ap-965	271	24	outlined	outline	VERB
ap-965	271	25	in	in	ADP
ap-965	271	26	section	section	NOUN
ap-965	271	27	3	3	NUM
ap-965	271	28	to	to	PART
ap-965	271	29	compute	compute	VERB
ap-965	271	30	the	the	DET
ap-965	271	31	admissible	admissible	ADJ
ap-965	271	32	field	field	NOUN
ap-965	271	33	content	content	NOUN
ap-965	271	34	for	for	ADP
ap-965	271	35	the	the	DET
ap-965	271	36	length-4	length-4	NUM
ap-965	271	37	multiplets	multiplet	NOUN
ap-965	271	38	for	for	ADP
ap-965	271	39	arbitrary	arbitrary	ADJ
ap-965	271	40	values	value	NOUN
ap-965	271	41	of	of	ADP
ap-965	271	42	n.	n.	NOUN
ap-965	271	43	this	this	DET
ap-965	271	44	construction	construction	NOUN
ap-965	271	45	was	be	AUX
ap-965	271	46	done	do	VERB
ap-965	271	47	in	in	ADP
ap-965	271	48	[	[	X
ap-965	271	49	14	14	NUM
ap-965	271	50	]	]	PUNCT
ap-965	271	51	.	.	PUNCT
ap-965	272	1	we	we	PRON
ap-965	272	2	present	present	VERB
ap-965	272	3	here	here	ADV
ap-965	272	4	the	the	DET
ap-965	272	5	list	list	NOUN
ap-965	272	6	of	of	ADP
ap-965	272	7	length-4	length-4	NUM
ap-965	272	8	field	field	NOUN
ap-965	272	9	content	content	NOUN
ap-965	272	10	up	up	ADP
ap-965	272	11	to	to	ADP
ap-965	272	12	n	n	PRON
ap-965	272	13	�	�	PROPN
ap-965	272	14	11	11	NUM
ap-965	272	15	.	.	PUNCT
ap-965	273	1	up	up	ADP
ap-965	273	2	to	to	ADP
ap-965	273	3	n	n	PRON
ap-965	273	4	�	�	NOUN
ap-965	273	5	8	8	NUM
ap-965	273	6	we	we	PRON
ap-965	273	7	have	have	VERB
ap-965	273	8	n	n	PRON
ap-965	273	9	�	�	PROPN
ap-965	273	10	1	1	NUM
ap-965	273	11	no	no	PRON
ap-965	273	12	(	(	PUNCT
ap-965	273	13	5.43	5.43	NUM
ap-965	273	14	)	)	PUNCT
ap-965	273	15	n	n	PRON
ap-965	273	16	�	�	PROPN
ap-965	273	17	2	2	NUM
ap-965	273	18	no	no	PRON
ap-965	273	19	n	n	PRON
ap-965	273	20	�	�	NOUN
ap-965	273	21	3	3	NUM
ap-965	273	22	(	(	PUNCT
ap-965	273	23	1	1	NUM
ap-965	273	24	,	,	PUNCT
ap-965	273	25	3	3	NUM
ap-965	273	26	,	,	PUNCT
ap-965	273	27	3	3	NUM
ap-965	273	28	,	,	PUNCT
ap-965	273	29	1	1	NUM
ap-965	273	30	)	)	PUNCT
ap-965	273	31	n	n	PRON
ap-965	273	32	�	�	PROPN
ap-965	273	33	4	4	NUM
ap-965	273	34	no	no	NOUN
ap-965	273	35	n	n	PRON
ap-965	273	36	�	�	PROPN
ap-965	273	37	5	5	NUM
ap-965	273	38	(	(	PUNCT
ap-965	273	39	1	1	NUM
ap-965	273	40	,	,	PUNCT
ap-965	273	41	5	5	NUM
ap-965	273	42	,	,	PUNCT
ap-965	273	43	7	7	NUM
ap-965	273	44	,	,	PUNCT
ap-965	273	45	3	3	NUM
ap-965	273	46	)	)	PUNCT
ap-965	273	47	,	,	PUNCT
ap-965	273	48	(	(	PUNCT
ap-965	273	49	3	3	NUM
ap-965	273	50	,	,	PUNCT
ap-965	273	51	7	7	NUM
ap-965	273	52	,	,	PUNCT
ap-965	273	53	5	5	NUM
ap-965	273	54	,	,	PUNCT
ap-965	273	55	1	1	NUM
ap-965	273	56	)	)	PUNCT
ap-965	273	57	,	,	PUNCT
ap-965	273	58	(	(	PUNCT
ap-965	273	59	1	1	NUM
ap-965	273	60	,	,	PUNCT
ap-965	273	61	6	6	NUM
ap-965	273	62	,	,	PUNCT
ap-965	273	63	7	7	NUM
ap-965	273	64	,	,	PUNCT
ap-965	273	65	2	2	NUM
ap-965	273	66	)	)	PUNCT
ap-965	273	67	,	,	PUNCT
ap-965	273	68	(	(	PUNCT
ap-965	273	69	2	2	NUM
ap-965	273	70	,	,	PUNCT
ap-965	273	71	7	7	NUM
ap-965	273	72	,	,	PUNCT
ap-965	273	73	6	6	NUM
ap-965	273	74	,	,	PUNCT
ap-965	273	75	1	1	NUM
ap-965	273	76	)	)	PUNCT
ap-965	273	77	,	,	PUNCT
ap-965	273	78	(	(	PUNCT
ap-965	273	79	2	2	NUM
ap-965	273	80	,	,	PUNCT
ap-965	273	81	6	6	NUM
ap-965	273	82	,	,	PUNCT
ap-965	273	83	6	6	NUM
ap-965	273	84	,	,	PUNCT
ap-965	273	85	2	2	NUM
ap-965	273	86	)	)	PUNCT
ap-965	273	87	,	,	PUNCT
ap-965	273	88	(	(	PUNCT
ap-965	273	89	1	1	NUM
ap-965	273	90	,	,	PUNCT
ap-965	273	91	7	7	NUM
ap-965	273	92	,	,	PUNCT
ap-965	273	93	7	7	NUM
ap-965	273	94	,	,	PUNCT
ap-965	273	95	1	1	NUM
ap-965	273	96	)	)	PUNCT
ap-965	273	97	n	n	PRON
ap-965	273	98	�	�	PROPN
ap-965	273	99	6	6	NUM
ap-965	273	100	(	(	PUNCT
ap-965	273	101	1	1	NUM
ap-965	273	102	,	,	PUNCT
ap-965	273	103	6	6	NUM
ap-965	273	104	,	,	PUNCT
ap-965	273	105	7	7	NUM
ap-965	273	106	,	,	PUNCT
ap-965	273	107	2	2	NUM
ap-965	273	108	)	)	PUNCT
ap-965	273	109	,	,	PUNCT
ap-965	273	110	(	(	PUNCT
ap-965	273	111	2	2	NUM
ap-965	273	112	,	,	PUNCT
ap-965	273	113	7	7	NUM
ap-965	273	114	,	,	PUNCT
ap-965	273	115	6	6	NUM
ap-965	273	116	,	,	PUNCT
ap-965	273	117	1	1	NUM
ap-965	273	118	)	)	PUNCT
ap-965	273	119	,	,	PUNCT
ap-965	273	120	(	(	PUNCT
ap-965	273	121	2	2	NUM
ap-965	273	122	,	,	PUNCT
ap-965	273	123	6	6	NUM
ap-965	273	124	,	,	PUNCT
ap-965	273	125	6	6	NUM
ap-965	273	126	,	,	PUNCT
ap-965	273	127	2	2	NUM
ap-965	273	128	)	)	PUNCT
ap-965	273	129	,	,	PUNCT
ap-965	273	130	(	(	PUNCT
ap-965	273	131	1	1	NUM
ap-965	273	132	,	,	PUNCT
ap-965	273	133	7	7	NUM
ap-965	273	134	,	,	PUNCT
ap-965	273	135	7	7	NUM
ap-965	273	136	,	,	PUNCT
ap-965	273	137	1	1	NUM
ap-965	273	138	)	)	PUNCT
ap-965	273	139	n	n	PRON
ap-965	273	140	�	�	PROPN
ap-965	273	141	7	7	NUM
ap-965	273	142	(	(	PUNCT
ap-965	273	143	1	1	NUM
ap-965	273	144	,	,	PUNCT
ap-965	273	145	7	7	NUM
ap-965	273	146	,	,	PUNCT
ap-965	273	147	7	7	NUM
ap-965	273	148	,	,	PUNCT
ap-965	273	149	1	1	NUM
ap-965	273	150	)	)	PUNCT
ap-965	273	151	n	n	PRON
ap-965	273	152	�	�	NOUN
ap-965	273	153	8	8	NUM
ap-965	273	154	no	no	ADV
ap-965	273	155	since	since	SCONJ
ap-965	273	156	there	there	PRON
ap-965	273	157	are	be	VERB
ap-965	273	158	no	no	DET
ap-965	273	159	length	length	NOUN
ap-965	273	160	-	-	PUNCT
ap-965	273	161	l	l	NOUN
ap-965	273	162	irreps	irrep	NOUN
ap-965	273	163	with	with	ADP
ap-965	273	164	l	l	PROPN
ap-965	273	165	�	�	PROPN
ap-965	273	166	5	5	NUM
ap-965	273	167	for	for	ADP
ap-965	273	168	n	n	PRON
ap-965	273	169	�	�	PROPN
ap-965	273	170	9	9	NUM
ap-965	273	171	,	,	PUNCT
ap-965	273	172	the	the	DET
ap-965	273	173	above	above	ADJ
ap-965	273	174	list	list	NOUN
ap-965	273	175	,	,	PUNCT
ap-965	273	176	together	together	ADV
ap-965	273	177	with	with	ADP
ap-965	273	178	the	the	DET
ap-965	273	179	already	already	ADV
ap-965	273	180	known	know	VERB
ap-965	273	181	length-2	length-2	NOUN
ap-965	273	182	and	and	CCONJ
ap-965	273	183	length-3	length-3	NUM
ap-965	273	184	irreps	irrep	NOUN
ap-965	273	185	,	,	PUNCT
ap-965	273	186	provides	provide	VERB
ap-965	273	187	the	the	DET
ap-965	273	188	complete	complete	ADJ
ap-965	273	189	classification	classification	NOUN
ap-965	273	190	of	of	ADP
ap-965	273	191	the	the	DET
ap-965	273	192	admissible	admissible	ADJ
ap-965	273	193	field	field	NOUN
ap-965	273	194	content	content	NOUN
ap-965	273	195	of	of	ADP
ap-965	273	196	the	the	DET
ap-965	273	197	irreducible	irreducible	ADJ
ap-965	273	198	representations	representation	NOUN
ap-965	273	199	for	for	ADP
ap-965	273	200	n	n	PRON
ap-965	273	201	�	�	NOUN
ap-965	273	202	8	8	NUM
ap-965	273	203	.	.	PUNCT
ap-965	274	1	please	please	INTJ
ap-965	274	2	note	note	VERB
ap-965	274	3	that	that	SCONJ
ap-965	274	4	the	the	DET
ap-965	274	5	length-4	length-4	ADJ
ap-965	274	6	irrep	irrep	NOUN
ap-965	274	7	of	of	ADP
ap-965	274	8	n	n	PRON
ap-965	274	9	�	�	PROPN
ap-965	274	10	3	3	NUM
ap-965	274	11	,	,	PUNCT
ap-965	274	12	(	(	PUNCT
ap-965	274	13	1	1	NUM
ap-965	274	14	,	,	PUNCT
ap-965	274	15	3	3	NUM
ap-965	274	16	,	,	PUNCT
ap-965	274	17	3	3	NUM
ap-965	274	18	,	,	PUNCT
ap-965	274	19	1	1	NUM
ap-965	274	20	)	)	PUNCT
ap-965	274	21	,	,	PUNCT
ap-965	274	22	is	be	AUX
ap-965	274	23	self	self	NOUN
ap-965	274	24	-	-	PUNCT
ap-965	274	25	dual	dual	ADJ
ap-965	274	26	under	under	ADP
ap-965	274	27	the	the	DET
ap-965	274	28	[	[	X
ap-965	274	29	14	14	NUM
ap-965	274	30	]	]	X
ap-965	274	31	high	high	ADJ
ap-965	274	32	�	�	PROPN
ap-965	274	33	low	low	ADJ
ap-965	274	34	spin	spin	NOUN
ap-965	274	35	duality	duality	NOUN
ap-965	274	36	,	,	PUNCT
ap-965	274	37	while	while	SCONJ
ap-965	274	38	two	two	NUM
ap-965	274	39	of	of	ADP
ap-965	274	40	the	the	DET
ap-965	274	41	non	non	ADJ
ap-965	274	42	-	-	ADJ
ap-965	274	43	equivalent	equivalent	ADJ
ap-965	274	44	length-4	length-4	PUNCT
ap-965	274	45	n	n	SYM
ap-965	274	46	�	�	PROPN
ap-965	274	47	5	5	NUM
ap-965	274	48	irreps	irrep	NOUN
ap-965	274	49	are	be	AUX
ap-965	274	50	self	self	NOUN
ap-965	274	51	-	-	PUNCT
ap-965	274	52	dual	dual	ADJ
ap-965	274	53	,	,	PUNCT
ap-965	274	54	(	(	PUNCT
ap-965	274	55	2	2	NUM
ap-965	274	56	,	,	PUNCT
ap-965	274	57	6	6	NUM
ap-965	274	58	,	,	PUNCT
ap-965	274	59	6	6	NUM
ap-965	274	60	,	,	PUNCT
ap-965	274	61	2	2	NUM
ap-965	274	62	)	)	PUNCT
ap-965	274	63	and	and	CCONJ
ap-965	274	64	(	(	PUNCT
ap-965	274	65	1	1	NUM
ap-965	274	66	,	,	PUNCT
ap-965	274	67	7	7	NUM
ap-965	274	68	,	,	PUNCT
ap-965	274	69	7	7	NUM
ap-965	274	70	,	,	PUNCT
ap-965	274	71	1	1	NUM
ap-965	274	72	)	)	PUNCT
ap-965	274	73	.	.	PUNCT
ap-965	275	1	the	the	DET
ap-965	275	2	remaining	remain	VERB
ap-965	275	3	ones	one	NOUN
ap-965	275	4	are	be	AUX
ap-965	275	5	pair	pair	NOUN
ap-965	275	6	-	-	PUNCT
ap-965	275	7	wise	wise	ADJ
ap-965	275	8	dually	dually	ADV
ap-965	275	9	related	relate	VERB
ap-965	275	10	(	(	PUNCT
ap-965	275	11	(	(	PUNCT
ap-965	275	12	,	,	PUNCT
ap-965	275	13	,	,	PUNCT
ap-965	275	14	,	,	PUNCT
ap-965	275	15	)	)	PUNCT
ap-965	275	16	(	(	PUNCT
ap-965	275	17	,	,	PUNCT
ap-965	275	18	,	,	PUNCT
ap-965	275	19	,	,	PUNCT
ap-965	275	20	)	)	PUNCT
ap-965	275	21	1	1	NUM
ap-965	275	22	5	5	NUM
ap-965	275	23	7	7	NUM
ap-965	275	24	3	3	NUM
ap-965	275	25	3	3	NUM
ap-965	275	26	7	7	NUM
ap-965	275	27	5	5	NUM
ap-965	275	28	1	1	NUM
ap-965	275	29	�	�	PROPN
ap-965	275	30	and	and	CCONJ
ap-965	275	31	(	(	PUNCT
ap-965	275	32	,	,	PUNCT
ap-965	275	33	,	,	PUNCT
ap-965	275	34	,	,	PUNCT
ap-965	275	35	)	)	PUNCT
ap-965	275	36	1	1	NUM
ap-965	275	37	6	6	NUM
ap-965	275	38	7	7	NUM
ap-965	275	39	2	2	NUM
ap-965	275	40	�	�	PROPN
ap-965	275	41	(	(	PUNCT
ap-965	275	42	,	,	PUNCT
ap-965	275	43	,	,	PUNCT
ap-965	275	44	,	,	PUNCT
ap-965	275	45	)	)	PUNCT
ap-965	275	46	2	2	NUM
ap-965	275	47	7	7	NUM
ap-965	275	48	6	6	NUM
ap-965	275	49	1	1	NUM
ap-965	275	50	)	)	PUNCT
ap-965	275	51	.	.	PUNCT
ap-965	276	1	the	the	DET
ap-965	276	2	n	n	PROPN
ap-965	276	3	�	�	PROPN
ap-965	276	4	9	9	NUM
ap-965	276	5	length-4	length-4	VERB
ap-965	276	6	irreducible	irreducible	ADJ
ap-965	276	7	multiplet	multiplet	NOUN
ap-965	276	8	(	(	PUNCT
ap-965	276	9	d	d	NOUN
ap-965	276	10	d	d	X
ap-965	276	11	d	d	X
ap-965	276	12	d1	d1	PROPN
ap-965	276	13	2	2	NUM
ap-965	276	14	3	3	NUM
ap-965	276	15	4	4	NUM
ap-965	276	16	,	,	PUNCT
ap-965	276	17	,	,	PUNCT
ap-965	276	18	,	,	PUNCT
ap-965	276	19	)	)	PUNCT
ap-965	276	20	is	be	AUX
ap-965	276	21	for	for	ADP
ap-965	276	22	simplicity	simplicity	NOUN
ap-965	276	23	expressed	express	VERB
ap-965	276	24	in	in	ADP
ap-965	276	25	terms	term	NOUN
ap-965	276	26	of	of	ADP
ap-965	276	27	the	the	DET
ap-965	276	28	two	two	NUM
ap-965	276	29	positive	positive	ADJ
ap-965	276	30	integers	integer	NOUN
ap-965	276	31	h	h	NOUN
ap-965	277	1	d	d	NOUN
ap-965	277	2	�	�	PROPN
ap-965	277	3	1	1	NUM
ap-965	277	4	,	,	PUNCT
ap-965	277	5	k	k	PROPN
ap-965	277	6	d	d	PROPN
ap-965	277	7	�	�	PROPN
ap-965	277	8	4	4	NUM
ap-965	277	9	,	,	PUNCT
ap-965	277	10	since	since	SCONJ
ap-965	277	11	d	d	PROPN
ap-965	277	12	h3	h3	VERB
ap-965	277	13	16	16	NUM
ap-965	277	14	�	�	PROPN
ap-965	277	15	�	�	PROPN
ap-965	277	16	,	,	PUNCT
ap-965	277	17	d	d	PROPN
ap-965	277	18	k4	k4	ADJ
ap-965	277	19	16	16	NUM
ap-965	277	20	�	�	PROPN
ap-965	277	21	�	�	PROPN
ap-965	277	22	.	.	PUNCT
ap-965	278	1	the	the	DET
ap-965	278	2	complete	complete	ADJ
ap-965	278	3	list	list	NOUN
ap-965	278	4	of	of	ADP
ap-965	278	5	n	n	PRON
ap-965	278	6	�	�	PROPN
ap-965	278	7	9	9	NUM
ap-965	278	8	length-4	length-4	NUM
ap-965	278	9	fields	field	NOUN
ap-965	278	10	content	content	NOUN
ap-965	278	11	is	be	AUX
ap-965	278	12	expressed	express	VERB
ap-965	278	13	by	by	ADP
ap-965	278	14	h	h	NOUN
ap-965	278	15	,	,	PUNCT
ap-965	278	16	k	k	X
ap-965	278	17	satisfying	satisfy	VERB
ap-965	278	18	the	the	DET
ap-965	278	19	constraint	constraint	NOUN
ap-965	278	20	h	h	NOUN
ap-965	279	1	k	k	PROPN
ap-965	279	2	�	�	PROPN
ap-965	279	3	�	�	PROPN
ap-965	279	4	8	8	NUM
ap-965	279	5	.	.	PUNCT
ap-965	280	1	(	(	PUNCT
ap-965	280	2	5.44	5.44	NUM
ap-965	280	3	)	)	PUNCT
ap-965	280	4	n	n	PRON
ap-965	280	5	�	�	PROPN
ap-965	280	6	10	10	NUM
ap-965	280	7	is	be	AUX
ap-965	280	8	the	the	DET
ap-965	280	9	lowest	low	ADJ
ap-965	280	10	supersymmery	supersymmery	NOUN
ap-965	280	11	admitting	admit	VERB
ap-965	280	12	length-5	length-5	PROPN
ap-965	280	13	irreps	irrep	NOUN
ap-965	280	14	.	.	PUNCT
ap-965	281	1	the	the	DET
ap-965	281	2	field	field	NOUN
ap-965	281	3	content	content	NOUN
ap-965	281	4	of	of	ADP
ap-965	281	5	its	its	PRON
ap-965	281	6	length-4	length-4	PUNCT
ap-965	281	7	irreps	irrep	NOUN
ap-965	281	8	is	be	AUX
ap-965	281	9	given	give	VERB
ap-965	281	10	by	by	ADP
ap-965	281	11	(	(	PUNCT
ap-965	281	12	,	,	PUNCT
ap-965	281	13	,	,	PUNCT
ap-965	281	14	,	,	PUNCT
ap-965	281	15	)	)	PUNCT
ap-965	281	16	d	d	X
ap-965	282	1	d	d	X
ap-965	282	2	d	d	X
ap-965	282	3	d1	d1	PROPN
ap-965	282	4	2	2	NUM
ap-965	282	5	3	3	NUM
ap-965	282	6	4	4	NUM
ap-965	282	7	,	,	PUNCT
ap-965	282	8	expressed	express	VERB
ap-965	282	9	in	in	ADP
ap-965	282	10	terms	term	NOUN
ap-965	282	11	of	of	ADP
ap-965	282	12	the	the	DET
ap-965	282	13	two	two	NUM
ap-965	282	14	positive	positive	ADJ
ap-965	282	15	integers	integer	NOUN
ap-965	282	16	h	h	NOUN
ap-965	283	1	d	d	NOUN
ap-965	283	2	�	�	PROPN
ap-965	283	3	1	1	NUM
ap-965	283	4	,	,	PUNCT
ap-965	283	5	k	k	PROPN
ap-965	283	6	d	d	PROPN
ap-965	283	7	�	�	PROPN
ap-965	283	8	4	4	NUM
ap-965	283	9	,	,	PUNCT
ap-965	283	10	since	since	SCONJ
ap-965	283	11	d	d	PROPN
ap-965	283	12	h3	h3	VERB
ap-965	283	13	32	32	NUM
ap-965	283	14	�	�	PROPN
ap-965	283	15	�	�	PROPN
ap-965	283	16	,	,	PUNCT
ap-965	283	17	d	d	PROPN
ap-965	283	18	k4	k4	ADJ
ap-965	283	19	32	32	NUM
ap-965	283	20	�	�	PROPN
ap-965	283	21	�	�	PROPN
ap-965	283	22	.	.	PUNCT
ap-965	284	1	if	if	SCONJ
ap-965	284	2	we	we	PRON
ap-965	284	3	set	set	VERB
ap-965	284	4	r	r	NOUN
ap-965	284	5	h	h	NOUN
ap-965	284	6	k	k	PROPN
ap-965	284	7	�	�	PROPN
ap-965	284	8	min	min	PROPN
ap-965	284	9	(	(	PUNCT
ap-965	284	10	,	,	PUNCT
ap-965	284	11	)	)	PUNCT
ap-965	284	12	(	(	PUNCT
ap-965	284	13	5.45	5.45	NUM
ap-965	284	14	)	)	PUNCT
ap-965	284	15	the	the	DET
ap-965	284	16	non	non	ADJ
ap-965	284	17	-	-	ADJ
ap-965	284	18	equivalent	equivalent	ADJ
ap-965	284	19	length-4	length-4	PUNCT
ap-965	284	20	field	field	NOUN
ap-965	284	21	content	content	NOUN
ap-965	284	22	is	be	AUX
ap-965	284	23	given	give	VERB
ap-965	284	24	by	by	ADP
ap-965	284	25	the	the	DET
ap-965	284	26	ordered	order	VERB
ap-965	284	27	pair	pair	NOUN
ap-965	284	28	of	of	ADP
ap-965	284	29	positive	positive	ADJ
ap-965	284	30	integers	integer	NOUN
ap-965	284	31	h	h	NOUN
ap-965	284	32	,	,	PUNCT
ap-965	284	33	k	k	X
ap-965	284	34	satisfying	satisfy	VERB
ap-965	284	35	the	the	DET
ap-965	284	36	constraint	constraint	NOUN
ap-965	284	37	h	h	NOUN
ap-965	285	1	k	k	PROPN
ap-965	285	2	r	r	PROPN
ap-965	285	3	�	�	PROPN
ap-965	285	4	�	�	PROPN
ap-965	285	5	�	�	PROPN
ap-965	285	6	24	24	NUM
ap-965	285	7	.	.	PUNCT
ap-965	286	1	(	(	PUNCT
ap-965	286	2	5.46	5.46	NUM
ap-965	286	3	)	)	PUNCT
ap-965	286	4	for	for	ADP
ap-965	286	5	n	n	PRON
ap-965	286	6	�	�	PROPN
ap-965	286	7	11the	11the	NOUN
ap-965	286	8	length-4	length-4	PUNCT
ap-965	286	9	fields	field	NOUN
ap-965	286	10	content	content	NOUN
ap-965	286	11	(	(	PUNCT
ap-965	286	12	,	,	PUNCT
ap-965	286	13	,	,	PUNCT
ap-965	286	14	,	,	PUNCT
ap-965	286	15	)	)	PUNCT
ap-965	287	1	d	d	X
ap-965	287	2	d	d	X
ap-965	287	3	d	d	X
ap-965	287	4	d1	d1	PROPN
ap-965	287	5	2	2	NUM
ap-965	287	6	3	3	NUM
ap-965	287	7	4	4	NUM
ap-965	287	8	is	be	AUX
ap-965	287	9	expressed	express	VERB
ap-965	287	10	in	in	ADP
ap-965	287	11	terms	term	NOUN
ap-965	287	12	of	of	ADP
ap-965	287	13	the	the	DET
ap-965	287	14	two	two	NUM
ap-965	287	15	positive	positive	ADJ
ap-965	287	16	integers	integer	NOUN
ap-965	287	17	h	h	NOUN
ap-965	288	1	d	d	NOUN
ap-965	288	2	�	�	PROPN
ap-965	288	3	1	1	NUM
ap-965	288	4	,	,	PUNCT
ap-965	288	5	k	k	PROPN
ap-965	288	6	d	d	PROPN
ap-965	288	7	�	�	PROPN
ap-965	288	8	4	4	NUM
ap-965	288	9	,	,	PUNCT
ap-965	288	10	since	since	SCONJ
ap-965	288	11	d	d	PROPN
ap-965	288	12	h3	h3	VERB
ap-965	288	13	64	64	NUM
ap-965	288	14	�	�	PROPN
ap-965	288	15	�	�	PROPN
ap-965	288	16	,	,	PUNCT
ap-965	288	17	d	d	PROPN
ap-965	288	18	k2	k2	PROPN
ap-965	288	19	64	64	NUM
ap-965	288	20	�	�	PROPN
ap-965	288	21	�	�	PROPN
ap-965	288	22	.	.	PUNCT
ap-965	289	1	setting	set	VERB
ap-965	289	2	as	as	ADP
ap-965	289	3	before	before	ADP
ap-965	289	4	r	r	PROPN
ap-965	289	5	h	h	NOUN
ap-965	289	6	k	k	PROPN
ap-965	289	7	�	�	PROPN
ap-965	289	8	min	min	PROPN
ap-965	289	9	(	(	PUNCT
ap-965	289	10	,	,	PUNCT
ap-965	289	11	)	)	PUNCT
ap-965	289	12	and	and	CCONJ
ap-965	289	13	introducing	introduce	VERB
ap-965	289	14	the	the	DET
ap-965	289	15	s(r	s(r	NOUN
ap-965	289	16	)	)	PUNCT
ap-965	289	17	function	function	NOUN
ap-965	289	18	defined	define	VERB
ap-965	289	19	through	through	ADP
ap-965	289	20	s	s	NOUN
ap-965	289	21	r	r	NOUN
ap-965	289	22	r	r	NOUN
ap-965	289	23	r	r	NOUN
ap-965	289	24	(	(	PUNCT
ap-965	289	25	)	)	PUNCT
ap-965	289	26	,	,	PUNCT
ap-965	289	27	,	,	PUNCT
ap-965	289	28	�	�	PROPN
ap-965	289	29	�	�	PROPN
ap-965	289	30	�	�	PROPN
ap-965	289	31	�	�	PROPN
ap-965	289	32	!	!	PUNCT
ap-965	289	33	"	"	PUNCT
ap-965	290	1	#	#	NOUN
ap-965	290	2	$	$	SYM
ap-965	290	3	8	8	NUM
ap-965	290	4	0	0	NUM
ap-965	290	5	1	1	NUM
ap-965	290	6	7for	7for	NUM
ap-965	290	7	otherwise	otherwise	ADV
ap-965	290	8	�	�	PROPN
ap-965	290	9	(	(	PUNCT
ap-965	290	10	5.47	5.47	NUM
ap-965	290	11	)	)	PUNCT
ap-965	290	12	we	we	PRON
ap-965	290	13	can	can	AUX
ap-965	290	14	express	express	VERB
ap-965	290	15	the	the	DET
ap-965	290	16	constraints	constraint	NOUN
ap-965	290	17	on	on	ADP
ap-965	290	18	h	h	NOUN
ap-965	290	19	,	,	PUNCT
ap-965	290	20	k	k	PROPN
ap-965	290	21	as	as	ADP
ap-965	290	22	h	h	NOUN
ap-965	290	23	k	k	NOUN
ap-965	290	24	r	r	NOUN
ap-965	290	25	s	s	NOUN
ap-965	290	26	r	r	NOUN
ap-965	290	27	�	�	PROPN
ap-965	290	28	�	�	PROPN
ap-965	290	29	�	�	PROPN
ap-965	290	30	�	�	PROPN
ap-965	290	31	(	(	PUNCT
ap-965	290	32	)	)	PUNCT
ap-965	290	33	48	48	NUM
ap-965	290	34	.	.	PUNCT
ap-965	291	1	(	(	PUNCT
ap-965	291	2	5.48	5.48	NUM
ap-965	291	3	)	)	PUNCT
ap-965	291	4	6	6	NUM
ap-965	291	5	the	the	DET
ap-965	291	6	off	off	ADP
ap-965	291	7	-	-	PUNCT
ap-965	291	8	shell	shell	NOUN
ap-965	291	9	invariant	invariant	ADJ
ap-965	291	10	actions	action	NOUN
ap-965	291	11	of	of	ADP
ap-965	291	12	the	the	PRON
ap-965	291	13	n	n	PRON
ap-965	291	14	�	�	PROPN
ap-965	291	15	4	4	NUM
ap-965	291	16	sigma	sigma	PROPN
ap-965	291	17	models	model	NOUN
ap-965	291	18	in	in	ADP
ap-965	291	19	the	the	DET
ap-965	291	20	late	late	ADJ
ap-965	291	21	1980	1980	NUM
ap-965	291	22	’s	’s	NOUN
ap-965	291	23	and	and	CCONJ
ap-965	291	24	early	early	ADJ
ap-965	291	25	1990	1990	NUM
ap-965	291	26	’s	’s	PART
ap-965	291	27	,	,	PUNCT
ap-965	291	28	the	the	DET
ap-965	291	29	whole	whole	ADJ
ap-965	291	30	set	set	NOUN
ap-965	291	31	of	of	ADP
ap-965	291	32	off	off	ADP
ap-965	291	33	-	-	PUNCT
ap-965	291	34	shell	shell	ADJ
ap-965	291	35	invariant	invariant	ADJ
ap-965	291	36	actions	action	NOUN
ap-965	291	37	of	of	ADP
ap-965	291	38	the	the	DET
ap-965	291	39	n	n	PRON
ap-965	291	40	�	�	PROPN
ap-965	291	41	4	4	NUM
ap-965	291	42	supersymmetries	supersymmetry	NOUN
ap-965	291	43	were	be	AUX
ap-965	291	44	produced	produce	VERB
ap-965	291	45	(	(	PUNCT
ap-965	291	46	[	[	X
ap-965	291	47	5	5	NUM
ap-965	291	48	]	]	PUNCT
ap-965	291	49	and	and	CCONJ
ap-965	291	50	references	reference	NOUN
ap-965	291	51	therein	therein	ADV
ap-965	291	52	)	)	PUNCT
ap-965	291	53	,	,	PUNCT
ap-965	291	54	by	by	ADP
ap-965	291	55	making	make	VERB
ap-965	291	56	use	use	NOUN
ap-965	291	57	of	of	ADP
ap-965	291	58	the	the	DET
ap-965	291	59	superfield	superfield	ADJ
ap-965	291	60	formalism	formalism	NOUN
ap-965	291	61	.	.	PUNCT
ap-965	292	1	this	this	DET
ap-965	292	2	result	result	NOUN
ap-965	292	3	was	be	AUX
ap-965	292	4	reached	reach	VERB
ap-965	292	5	after	after	ADP
ap-965	292	6	slowly	slowly	ADV
ap-965	292	7	recognizing	recognize	VERB
ap-965	292	8	the	the	DET
ap-965	292	9	multiplets	multiplet	NOUN
ap-965	292	10	carrying	carry	VERB
ap-965	292	11	a	a	DET
ap-965	292	12	representation	representation	NOUN
ap-965	292	13	of	of	ADP
ap-965	292	14	the	the	DET
ap-965	292	15	one	one	NUM
ap-965	292	16	-	-	PUNCT
ap-965	292	17	dimensional	dimensional	ADJ
ap-965	292	18	n	n	X
ap-965	292	19	�	�	NOUN
ap-965	292	20	4	4	NUM
ap-965	292	21	supersymmetry	supersymmetry	NOUN
ap-965	292	22	.	.	PUNCT
ap-965	293	1	the	the	DET
ap-965	293	2	results	result	NOUN
ap-965	293	3	discussed	discuss	VERB
ap-965	293	4	here	here	ADV
ap-965	293	5	allow	allow	VERB
ap-965	293	6	us	we	PRON
ap-965	293	7	to	to	PART
ap-965	293	8	reconstruct	reconstruct	VERB
ap-965	293	9	,	,	PUNCT
ap-965	293	10	in	in	ADP
ap-965	293	11	a	a	DET
ap-965	293	12	unified	unified	ADJ
ap-965	293	13	framework	framework	NOUN
ap-965	293	14	,	,	PUNCT
ap-965	293	15	all	all	DET
ap-965	293	16	off	off	ADP
ap-965	293	17	-	-	PUNCT
ap-965	293	18	shell	shell	ADJ
ap-965	293	19	invariant	invariant	ADJ
ap-965	293	20	actions	action	NOUN
ap-965	293	21	of	of	ADP
ap-965	293	22	the	the	DET
ap-965	293	23	correct	correct	ADJ
ap-965	293	24	mass	mass	ADJ
ap-965	293	25	-	-	PUNCT
ap-965	293	26	dimension	dimension	NOUN
ap-965	293	27	(	(	PUNCT
ap-965	293	28	the	the	DET
ap-965	293	29	mass	mass	ADJ
ap-965	293	30	-	-	PUNCT
ap-965	293	31	dimension	dimension	NOUN
ap-965	293	32	d	d	PROPN
ap-965	293	33	�	�	PROPN
ap-965	293	34	2	2	NUM
ap-965	293	35	of	of	ADP
ap-965	293	36	the	the	DET
ap-965	293	37	kinetic	kinetic	ADJ
ap-965	293	38	energy	energy	NOUN
ap-965	293	39	)	)	PUNCT
ap-965	293	40	for	for	ADP
ap-965	293	41	the	the	DET
ap-965	293	42	whole	whole	ADJ
ap-965	293	43	set	set	NOUN
ap-965	293	44	of	of	ADP
ap-965	293	45	n	n	X
ap-965	293	46	�	�	PROPN
ap-965	293	47	4	4	NUM
ap-965	293	48	irreducible	irreducible	ADJ
ap-965	293	49	multiplets	multiplet	NOUN
ap-965	293	50	.	.	PUNCT
ap-965	294	1	they	they	PRON
ap-965	294	2	are	be	AUX
ap-965	294	3	given	give	VERB
ap-965	294	4	by	by	ADP
ap-965	294	5	the	the	DET
ap-965	294	6	(	(	PUNCT
ap-965	294	7	4	4	NUM
ap-965	294	8	,	,	PUNCT
ap-965	294	9	4	4	NUM
ap-965	294	10	)	)	PUNCT
ap-965	294	11	,	,	PUNCT
ap-965	294	12	(	(	PUNCT
ap-965	294	13	3	3	NUM
ap-965	294	14	,	,	PUNCT
ap-965	294	15	4	4	NUM
ap-965	294	16	,	,	PUNCT
ap-965	294	17	1	1	NUM
ap-965	294	18	)	)	PUNCT
ap-965	294	19	,	,	PUNCT
ap-965	294	20	(	(	PUNCT
ap-965	294	21	2	2	NUM
ap-965	294	22	,	,	PUNCT
ap-965	294	23	4	4	NUM
ap-965	294	24	,	,	PUNCT
ap-965	294	25	2	2	NUM
ap-965	294	26	)	)	PUNCT
ap-965	294	27	and	and	CCONJ
ap-965	294	28	(	(	PUNCT
ap-965	294	29	1	1	NUM
ap-965	294	30	,	,	PUNCT
ap-965	294	31	3	3	NUM
ap-965	294	32	,	,	PUNCT
ap-965	294	33	4	4	NUM
ap-965	294	34	)	)	PUNCT
ap-965	294	35	multiplets	multiplet	NOUN
ap-965	294	36	.	.	PUNCT
ap-965	295	1	we	we	PRON
ap-965	295	2	are	be	AUX
ap-965	295	3	able	able	ADJ
ap-965	295	4	to	to	PART
ap-965	295	5	construct	construct	VERB
ap-965	295	6	the	the	DET
ap-965	295	7	invariants	invariant	NOUN
ap-965	295	8	without	without	ADP
ap-965	295	9	using	use	VERB
ap-965	295	10	a	a	DET
ap-965	295	11	superfield	superfield	ADJ
ap-965	295	12	formalism	formalism	NOUN
ap-965	295	13	.	.	PUNCT
ap-965	296	1	we	we	PRON
ap-965	296	2	use	use	VERB
ap-965	296	3	instead	instead	ADV
ap-965	296	4	a	a	DET
ap-965	296	5	construction	construction	NOUN
ap-965	296	6	which	which	PRON
ap-965	296	7	can	can	AUX
ap-965	296	8	be	be	AUX
ap-965	296	9	extended	extend	VERB
ap-965	296	10	,	,	PUNCT
ap-965	296	11	how	how	SCONJ
ap-965	296	12	we	we	PRON
ap-965	296	13	will	will	AUX
ap-965	296	14	prove	prove	VERB
ap-965	296	15	later	later	ADV
ap-965	296	16	,	,	PUNCT
ap-965	296	17	even	even	ADV
ap-965	296	18	for	for	ADP
ap-965	296	19	large	large	ADJ
ap-965	296	20	values	value	NOUN
ap-965	296	21	of	of	ADP
ap-965	296	22	n	n	CCONJ
ap-965	296	23	,	,	PUNCT
ap-965	296	24	in	in	ADP
ap-965	296	25	the	the	DET
ap-965	296	26	cases	case	NOUN
ap-965	296	27	where	where	SCONJ
ap-965	296	28	the	the	DET
ap-965	296	29	superfield	superfield	ADJ
ap-965	296	30	formalism	formalism	NOUN
ap-965	296	31	is	be	AUX
ap-965	296	32	not	not	PART
ap-965	296	33	available	available	ADJ
ap-965	296	34	.	.	PUNCT
ap-965	297	1	we	we	PRON
ap-965	297	2	will	will	AUX
ap-965	297	3	use	use	VERB
ap-965	297	4	the	the	DET
ap-965	297	5	fact	fact	NOUN
ap-965	297	6	that	that	SCONJ
ap-965	297	7	the	the	DET
ap-965	297	8	supersymmetry	supersymmetry	NOUN
ap-965	297	9	generators	generator	VERB
ap-965	297	10	qi	qi	PROPN
ap-965	297	11	’s	’s	PART
ap-965	297	12	act	act	NOUN
ap-965	297	13	as	as	SCONJ
ap-965	297	14	graded	grade	VERB
ap-965	297	15	leibniz	leibniz	NOUN
ap-965	297	16	derivatives	derivative	NOUN
ap-965	297	17	.	.	PUNCT
ap-965	298	1	manifestly	manifestly	ADV
ap-965	298	2	invariant	invariant	ADJ
ap-965	298	3	actions	action	NOUN
ap-965	298	4	of	of	ADP
ap-965	298	5	the	the	DET
ap-965	298	6	n	n	ADV
ap-965	298	7	-	-	PUNCT
ap-965	298	8	extended	extended	ADJ
ap-965	298	9	supersymmetry	supersymmetry	NOUN
ap-965	298	10	can	can	AUX
ap-965	298	11	be	be	AUX
ap-965	298	12	obtained	obtain	VERB
ap-965	298	13	by	by	ADP
ap-965	298	14	expressing	express	VERB
ap-965	298	15	them	they	PRON
ap-965	298	16	as	as	SCONJ
ap-965	298	17	i	i	PRON
ap-965	298	18	t	t	X
ap-965	298	19	q	q	NOUN
ap-965	298	20	q	q	X
ap-965	298	21	f	f	X
ap-965	298	22	x	x	PUNCT
ap-965	298	23	x	x	SYM
ap-965	298	24	xn	xn	PROPN
ap-965	298	25	k	k	PROPN
ap-965	298	26	�	�	PROPN
ap-965	298	27	�	�	PROPN
ap-965	298	28	�	�	PROPN
ap-965	298	29	�	�	PROPN
ap-965	298	30	d	d	PROPN
ap-965	298	31	(	(	PUNCT
ap-965	298	32	(	(	PUNCT
ap-965	298	33	,	,	PUNCT
ap-965	298	34	,	,	PUNCT
ap-965	298	35	,	,	PUNCT
ap-965	298	36	)	)	PUNCT
ap-965	298	37	)	)	PUNCT
ap-965	298	38	1	1	NUM
ap-965	298	39	1	1	NUM
ap-965	298	40	2	2	NUM
ap-965	298	41	�	�	PROPN
ap-965	298	42	�	�	PROPN
ap-965	298	43	(	(	PUNCT
ap-965	298	44	6.49	6.49	NUM
ap-965	298	45	)	)	PUNCT
ap-965	298	46	with	with	ADP
ap-965	298	47	the	the	DET
ap-965	298	48	supersymmetry	supersymmetry	NOUN
ap-965	298	49	transformations	transformation	NOUN
ap-965	298	50	applied	apply	VERB
ap-965	298	51	to	to	ADP
ap-965	298	52	an	an	DET
ap-965	298	53	arbitrary	arbitrary	ADJ
ap-965	298	54	function	function	NOUN
ap-965	298	55	of	of	ADP
ap-965	298	56	the	the	DET
ap-965	298	57	0	0	NUM
ap-965	298	58	-	-	PUNCT
ap-965	298	59	dimensional	dimensional	ADJ
ap-965	298	60	fields	field	NOUN
ap-965	298	61	xi	xi	ADP
ap-965	298	62	’s	’s	PART
ap-965	298	63	,	,	PUNCT
ap-965	298	64	i	i	PRON
ap-965	298	65	k	k	X
ap-965	298	66	�	�	PROPN
ap-965	298	67	1	1	NUM
ap-965	298	68	,	,	PUNCT
ap-965	298	69	,	,	PUNCT
ap-965	298	70	�	�	PROPN
ap-965	298	71	entering	enter	VERB
ap-965	298	72	an	an	DET
ap-965	298	73	irreducible	irreducible	ADJ
ap-965	298	74	multiplet	multiplet	NOUN
ap-965	298	75	of	of	ADP
ap-965	298	76	the	the	DET
ap-965	298	77	n	n	ADV
ap-965	298	78	-	-	PUNCT
ap-965	298	79	extended	extended	ADJ
ap-965	298	80	supersymmetry	supersymmetry	NOUN
ap-965	298	81	.	.	PUNCT
ap-965	299	1	since	since	SCONJ
ap-965	299	2	the	the	DET
ap-965	299	3	supersymmetry	supersymmetry	NOUN
ap-965	299	4	generators	generator	NOUN
ap-965	299	5	admit	admit	VERB
ap-965	299	6	mass	mass	ADJ
ap-965	299	7	-	-	PUNCT
ap-965	299	8	dimension	dimension	NOUN
ap-965	299	9	�	�	NOUN
ap-965	299	10	1	1	NUM
ap-965	299	11	2	2	NUM
ap-965	299	12	(	(	PUNCT
ap-965	299	13	being	be	AUX
ap-965	299	14	the	the	DET
ap-965	299	15	“	"	PUNCT
ap-965	299	16	square	square	ADJ
ap-965	299	17	roots	root	NOUN
ap-965	299	18	”	"	PUNCT
ap-965	299	19	of	of	ADP
ap-965	299	20	the	the	DET
ap-965	299	21	hamiltonian	hamiltonian	NOUN
ap-965	299	22	)	)	PUNCT
ap-965	299	23	,	,	PUNCT
ap-965	299	24	we	we	PRON
ap-965	299	25	have	have	VERB
ap-965	299	26	that	that	PRON
ap-965	299	27	(	(	PUNCT
ap-965	299	28	6.49	6.49	NUM
ap-965	299	29	)	)	PUNCT
ap-965	299	30	is	be	AUX
ap-965	299	31	a	a	DET
ap-965	299	32	manifestly	manifestly	ADV
ap-965	299	33	supersymmetric	supersymmetric	ADJ
ap-965	299	34	invariant	invariant	ADJ
ap-965	299	35	whose	whose	DET
ap-965	299	36	lagrangian	lagrangian	ADJ
ap-965	299	37	density	density	NOUN
ap-965	299	38	q	q	NOUN
ap-965	300	1	q	q	NOUN
ap-965	300	2	f	f	X
ap-965	300	3	x	x	PUNCT
ap-965	300	4	x	x	SYM
ap-965	300	5	xn	xn	PROPN
ap-965	300	6	k1	k1	NOUN
ap-965	300	7	1	1	NUM
ap-965	300	8	2	2	NUM
ap-965	300	9	�	�	PROPN
ap-965	300	10	�	�	PROPN
ap-965	300	11	�	�	PROPN
ap-965	300	12	�	�	PROPN
ap-965	300	13	(	(	PUNCT
ap-965	300	14	,	,	PUNCT
ap-965	300	15	,	,	PUNCT
ap-965	300	16	,	,	PUNCT
ap-965	300	17	)	)	PUNCT
ap-965	300	18	has	have	VERB
ap-965	300	19	a	a	DET
ap-965	300	20	dimension	dimension	NOUN
ap-965	300	21	d	d	PROPN
ap-965	300	22	n	n	CCONJ
ap-965	300	23	�	�	PROPN
ap-965	300	24	2	2	NUM
ap-965	300	25	.	.	PUNCT
ap-965	301	1	for	for	ADP
ap-965	301	2	n	n	PRON
ap-965	301	3	�	�	PROPN
ap-965	301	4	4	4	NUM
ap-965	301	5	the	the	DET
ap-965	301	6	lagrangian	lagrangian	ADJ
ap-965	301	7	density	density	NOUN
ap-965	301	8	has	have	VERB
ap-965	301	9	the	the	DET
ap-965	301	10	correct	correct	ADJ
ap-965	301	11	dimension	dimension	NOUN
ap-965	301	12	of	of	ADP
ap-965	301	13	a	a	DET
ap-965	301	14	kinetic	kinetic	ADJ
ap-965	301	15	term	term	NOUN
ap-965	301	16	.	.	PUNCT
ap-965	302	1	the	the	DET
ap-965	302	2	k	k	PROPN
ap-965	302	3	variables	variables	PROPN
ap-965	302	4	xi	xi	VERB
ap-965	302	5	’s	’s	PART
ap-965	302	6	can	can	AUX
ap-965	302	7	be	be	AUX
ap-965	302	8	regarded	regard	VERB
ap-965	302	9	as	as	ADP
ap-965	302	10	coordinates	coordinate	NOUN
ap-965	302	11	of	of	ADP
ap-965	302	12	a	a	DET
ap-965	302	13	k	k	ADV
ap-965	302	14	-	-	ADJ
ap-965	302	15	dimensional	dimensional	ADJ
ap-965	302	16	manifold	manifold	NOUN
ap-965	302	17	.	.	PUNCT
ap-965	303	1	the	the	DET
ap-965	303	2	corresponding	corresponding	ADJ
ap-965	303	3	actions	action	NOUN
ap-965	303	4	can	can	AUX
ap-965	303	5	therefore	therefore	ADV
ap-965	303	6	be	be	AUX
ap-965	303	7	seen	see	VERB
ap-965	303	8	as	as	ADP
ap-965	303	9	n	n	X
ap-965	303	10	�	�	PROPN
ap-965	303	11	4	4	NUM
ap-965	303	12	supersymmetric	supersymmetric	ADJ
ap-965	303	13	one	one	NUM
ap-965	303	14	-	-	PUNCT
ap-965	303	15	dimensional	dimensional	ADJ
ap-965	303	16	sigma	sigma	NOUN
ap-965	303	17	models	model	NOUN
ap-965	303	18	evolving	evolve	VERB
ap-965	303	19	in	in	ADP
ap-965	303	20	a	a	DET
ap-965	303	21	k	k	ADJ
ap-965	303	22	-	-	ADJ
ap-965	303	23	dimensional	dimensional	ADJ
ap-965	303	24	target	target	NOUN
ap-965	303	25	manifold	manifold	ADJ
ap-965	303	26	.	.	PUNCT
ap-965	304	1	for	for	ADP
ap-965	304	2	each	each	DET
ap-965	304	3	n	n	PRON
ap-965	304	4	�	�	PROPN
ap-965	304	5	4	4	NUM
ap-965	304	6	irrep	irrep	NOUN
ap-965	304	7	we	we	PRON
ap-965	304	8	get	get	VERB
ap-965	304	9	the	the	DET
ap-965	304	10	following	follow	VERB
ap-965	304	11	results	result	NOUN
ap-965	304	12	.	.	PUNCT
ap-965	305	1	in	in	ADP
ap-965	305	2	all	all	DET
ap-965	305	3	cases	case	NOUN
ap-965	305	4	66	66	NUM
ap-965	305	5	©	©	PROPN
ap-965	305	6	czech	czech	PROPN
ap-965	305	7	technical	technical	PROPN
ap-965	305	8	university	university	PROPN
ap-965	305	9	publishing	publishing	NOUN
ap-965	305	10	house	house	NOUN
ap-965	305	11	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	305	12	acta	acta	PROPN
ap-965	305	13	polytechnica	polytechnica	PROPN
ap-965	305	14	vol	vol	NOUN
ap-965	305	15	.	.	PUNCT
ap-965	306	1	48	48	NUM
ap-965	306	2	no	no	NOUN
ap-965	306	3	.	.	PUNCT
ap-965	307	1	2/2008	2/2008	NOUN
ap-965	307	2	below	below	ADP
ap-965	307	3	the	the	DET
ap-965	307	4	arbitrary	arbitrary	ADJ
ap-965	307	5	(	(	PUNCT
ap-965	307	6	)	)	PUNCT
ap-965	307	7	xi	xi	NUM
ap-965	307	8	function	function	NOUN
ap-965	307	9	is	be	AUX
ap-965	307	10	given	give	VERB
ap-965	307	11	by	by	ADP
ap-965	307	12	�	�	PROPN
ap-965	307	13	�	�	PROPN
ap-965	307	14	f	f	PROPN
ap-965	307	15	x	x	X
ap-965	307	16	(	(	PUNCT
ap-965	307	17	)	)	PUNCT
ap-965	307	18	.	.	PUNCT
ap-965	308	1	we	we	PRON
ap-965	308	2	get	get	VERB
ap-965	308	3	the	the	DET
ap-965	308	4	following	follow	VERB
ap-965	308	5	list	list	NOUN
ap-965	308	6	.	.	PUNCT
ap-965	309	1	i	i	PRON
ap-965	309	2	)	)	PUNCT
ap-965	309	3	the	the	DET
ap-965	309	4	n	n	PROPN
ap-965	309	5	�	�	PROPN
ap-965	309	6	4	4	NUM
ap-965	309	7	(	(	PUNCT
ap-965	309	8	4	4	NUM
ap-965	309	9	,	,	PUNCT
ap-965	309	10	4	4	X
ap-965	309	11	)	)	PUNCT
ap-965	309	12	case	case	NOUN
ap-965	309	13	.	.	PUNCT
ap-965	310	1	we	we	PRON
ap-965	310	2	have	have	VERB
ap-965	310	3	:	:	PUNCT
ap-965	310	4	q	q	X
ap-965	310	5	x	x	PUNCT
ap-965	310	6	x	x	PUNCT
ap-965	310	7	x	x	PUNCT
ap-965	310	8	x	x	X
ap-965	310	9	xi	xi	PROPN
ap-965	310	10	j	j	PROPN
ap-965	311	1	j	j	PROPN
ap-965	312	1	i	i	PRON
ap-965	312	2	ij	ij	VERB
ap-965	313	1	ijk	ijk	PROPN
ap-965	314	1	k	k	PROPN
ap-965	315	1	i	i	PRON
ap-965	315	2	ij	ij	INTJ
ap-965	315	3	ijk	ijk	PROPN
ap-965	315	4	k	k	PROPN
ap-965	315	5	(	(	PUNCT
ap-965	315	6	,	,	PUNCT
ap-965	315	7	;	;	PUNCT
ap-965	315	8	,	,	PUNCT
ap-965	315	9	)	)	PUNCT
ap-965	315	10	(	(	PUNCT
ap-965	315	11	,	,	PUNCT
ap-965	315	12	;	;	PUNCT
ap-965	315	13	�	�	PROPN
ap-965	315	14	,	,	PUNCT
ap-965	315	15	�	�	PROPN
ap-965	315	16	�	�	PROPN
ap-965	315	17	)	)	PUNCT
ap-965	315	18	�	�	PROPN
ap-965	315	19	�	�	PROPN
ap-965	315	20	�	�	PROPN
ap-965	315	21	�	�	PROPN
ap-965	315	22	�	�	PROPN
ap-965	315	23	�	�	PROPN
ap-965	315	24	�	�	PROPN
ap-965	315	25	�	�	PROPN
ap-965	315	26	�	�	PROPN
ap-965	315	27	�	�	PROPN
ap-965	315	28	�	�	PROPN
ap-965	315	29	�	�	PROPN
ap-965	315	30	,	,	PUNCT
ap-965	315	31	(	(	PUNCT
ap-965	315	32	,	,	PUNCT
ap-965	315	33	;	;	PUNCT
ap-965	315	34	,	,	PUNCT
ap-965	315	35	)	)	PUNCT
ap-965	315	36	(	(	PUNCT
ap-965	315	37	,	,	PUNCT
ap-965	315	38	;	;	PUNCT
ap-965	315	39	�	�	PROPN
ap-965	315	40	,	,	PUNCT
ap-965	315	41	�	�	PROPN
ap-965	315	42	)	)	PUNCT
ap-965	315	43	.q	.q	PROPN
ap-965	316	1	x	x	PUNCT
ap-965	316	2	x	x	PUNCT
ap-965	316	3	x	x	PROPN
ap-965	316	4	xj	xj	PROPN
ap-965	316	5	j	j	PROPN
ap-965	316	6	j	j	PROPN
ap-965	316	7	j4	j4	PROPN
ap-965	316	8	�	�	PROPN
ap-965	316	9	�	�	PROPN
ap-965	316	10	�	�	PROPN
ap-965	316	11	�	�	PROPN
ap-965	316	12	�	�	PROPN
ap-965	316	13	(	(	PUNCT
ap-965	316	14	6.50	6.50	NUM
ap-965	316	15	)	)	PUNCT
ap-965	316	16	the	the	DET
ap-965	316	17	most	most	ADV
ap-965	316	18	general	general	ADJ
ap-965	316	19	invariant	invariant	ADJ
ap-965	316	20	lagrangian	lagrangian	ADJ
ap-965	316	21	l	l	NOUN
ap-965	316	22	of	of	ADP
ap-965	316	23	dimension	dimension	NOUN
ap-965	316	24	d	d	PROPN
ap-965	316	25	�	�	PROPN
ap-965	316	26	2	2	NUM
ap-965	316	27	is	be	AUX
ap-965	316	28	given	give	VERB
ap-965	316	29	by	by	ADP
ap-965	316	30	l	l	NOUN
ap-965	316	31	x	x	PUNCT
ap-965	317	1	x	x	PUNCT
ap-965	317	2	x	x	PUNCT
ap-965	317	3	x	x	X
ap-965	317	4	j	j	PROPN
ap-965	317	5	j	j	PROPN
ap-965	317	6	j	j	PROPN
ap-965	317	7	x	x	X
ap-965	317	8	j	j	PROPN
ap-965	317	9	j	j	PROPN
ap-965	317	10	ijk	ijk	PROPN
ap-965	317	11	i	i	PROPN
ap-965	317	12	j	j	PROPN
ap-965	317	13	�	�	PROPN
ap-965	317	14	�	�	PROPN
ap-965	317	15	�	�	PROPN
ap-965	317	16	�	�	PROPN
ap-965	317	17	�	�	PROPN
ap-965	317	18	�	�	PROPN
ap-965	317	19	�	�	PROPN
ap-965	317	20	�	�	PROPN
ap-965	317	21	�	�	PROPN
ap-965	317	22	�	�	PROPN
ap-965	317	23	�	�	PROPN
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ap-965	317	29	(	(	PUNCT
ap-965	317	30	)	)	PUNCT
ap-965	317	31	[	[	PUNCT
ap-965	317	32	�	�	PROPN
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ap-965	317	35	�	�	PROPN
ap-965	317	36	]	]	PUNCT
ap-965	317	37	[	[	PUNCT
ap-965	317	38	�	�	PROPN
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ap-965	317	41	2	2	NUM
ap-965	317	42	2	2	NUM
ap-965	317	43	1	1	NUM
ap-965	317	44	2	2	NUM
ap-965	317	45	x	x	SYM
ap-965	317	46	x	x	PUNCT
ap-965	317	47	x	x	PUNCT
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ap-965	317	49	x	x	X
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ap-965	319	2	k	k	X
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ap-965	320	1	[	[	PUNCT
ap-965	320	2	�	�	PROPN
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ap-965	320	7	�	�	PROPN
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ap-965	320	23	1	1	NUM
ap-965	320	24	2	2	NUM
ap-965	320	25	1	1	NUM
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ap-965	320	33	ljk	ljk	PROPN
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ap-965	320	37	(	(	PUNCT
ap-965	320	38	6.51	6.51	NUM
ap-965	320	39	)	)	PUNCT
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ap-965	320	45	4	4	NUM
ap-965	320	46	(	(	PUNCT
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ap-965	320	49	4	4	NUM
ap-965	320	50	,	,	PUNCT
ap-965	320	51	1	1	X
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ap-965	324	1	k	k	PROPN
ap-965	324	2	i	i	PRON
ap-965	324	3	ij	ij	INTJ
ap-965	324	4	ijk	ijk	PROPN
ap-965	324	5	k	k	PROPN
ap-965	324	6	i	i	PROPN
ap-965	324	7	(	(	PUNCT
ap-965	324	8	;	;	PUNCT
ap-965	324	9	,	,	PUNCT
ap-965	324	10	;	;	PUNCT
ap-965	324	11	)	)	PUNCT
ap-965	324	12	(	(	PUNCT
ap-965	324	13	;	;	PUNCT
ap-965	324	14	�	�	PROPN
ap-965	324	15	;	;	PUNCT
ap-965	324	16	�	�	PROPN
ap-965	324	17	;	;	PUNCT
ap-965	324	18	)	)	PUNCT
ap-965	324	19	,	,	PUNCT
ap-965	324	20	�	�	PROPN
ap-965	324	21	�	�	PROPN
ap-965	324	22	�	�	PROPN
ap-965	324	23	�	�	PROPN
ap-965	324	24	�	�	PROPN
ap-965	324	25	�	�	PROPN
ap-965	324	26	�	�	PROPN
ap-965	324	27	�	�	PROPN
ap-965	324	28	�	�	PROPN
ap-965	324	29	�	�	PROPN
ap-965	324	30	�	�	PROPN
ap-965	324	31	�	�	PROPN
ap-965	324	32	q	q	PROPN
ap-965	325	1	x	x	X
ap-965	325	2	g	g	PROPN
ap-965	325	3	g	g	PROPN
ap-965	325	4	xj	xj	PROPN
ap-965	325	5	j	j	PROPN
ap-965	325	6	j	j	PROPN
ap-965	325	7	j	j	PROPN
ap-965	325	8	j4	j4	PROPN
ap-965	325	9	(	(	PUNCT
ap-965	325	10	;	;	PUNCT
ap-965	325	11	,	,	PUNCT
ap-965	325	12	;	;	PUNCT
ap-965	325	13	)	)	PUNCT
ap-965	325	14	(	(	PUNCT
ap-965	325	15	;	;	PUNCT
ap-965	325	16	,	,	PUNCT
ap-965	325	17	�	�	PROPN
ap-965	325	18	;	;	PUNCT
ap-965	325	19	)	)	PUNCT
ap-965	325	20	.	.	PUNCT
ap-965	326	1	�	�	PROPN
ap-965	326	2	�	�	PROPN
ap-965	326	3	�	�	PROPN
ap-965	326	4	�	�	PROPN
ap-965	326	5	�	�	PROPN
ap-965	326	6	(	(	PUNCT
ap-965	326	7	6.52	6.52	NUM
ap-965	326	8	)	)	PUNCT
ap-965	326	9	the	the	DET
ap-965	326	10	most	most	ADV
ap-965	326	11	general	general	ADJ
ap-965	326	12	invariant	invariant	ADJ
ap-965	326	13	lagrangian	lagrangian	ADJ
ap-965	326	14	l	l	NOUN
ap-965	326	15	of	of	ADP
ap-965	326	16	dimension	dimension	NOUN
ap-965	326	17	d	d	PROPN
ap-965	326	18	�	�	PROPN
ap-965	326	19	2	2	NUM
ap-965	326	20	is	be	AUX
ap-965	326	21	given	give	VERB
ap-965	326	22	by	by	ADP
ap-965	326	23	l	l	NOUN
ap-965	326	24	x	x	X
ap-965	327	1	x	x	PUNCT
ap-965	327	2	g	g	NOUN
ap-965	327	3	x	x	X
ap-965	327	4	g	g	PROPN
ap-965	327	5	j	j	PROPN
ap-965	328	1	j	j	PROPN
ap-965	328	2	j	j	PROPN
ap-965	328	3	i	i	PROPN
ap-965	328	4	ijk	ijk	PROPN
ap-965	328	5	j	j	PROPN
ap-965	328	6	k	k	PROPN
ap-965	328	7	j	j	PROPN
ap-965	328	8	k	k	PROPN
ap-965	328	9	�	�	PROPN
ap-965	328	10	�	�	PROPN
ap-965	328	11	�	�	PROPN
ap-965	328	12	�	�	PROPN
ap-965	328	13	�	�	PROPN
ap-965	328	14	�	�	PROPN
ap-965	328	15	�	�	PROPN
ap-965	328	16	�	�	PROPN
ap-965	328	17	�	�	PROPN
ap-965	328	18	�	�	PROPN
ap-965	328	19	�	�	PROPN
ap-965	328	20	�	�	PROPN
ap-965	328	21	�	�	PROPN
ap-965	328	22	�	�	PROPN
ap-965	328	23	�	�	PROPN
ap-965	328	24	�	�	PROPN
ap-965	328	25	�	�	PROPN
ap-965	328	26	(	(	PUNCT
ap-965	328	27	)	)	PUNCT
ap-965	328	28	[	[	PUNCT
ap-965	328	29	�	�	PROPN
ap-965	328	30	�	�	PROPN
ap-965	328	31	�	�	PROPN
ap-965	328	32	]	]	PUNCT
ap-965	328	33	[	[	PUNCT
ap-965	328	34	�	�	X
ap-965	328	35	�	�	PROPN
ap-965	328	36	2	2	NUM
ap-965	328	37	2	2	NUM
ap-965	328	38	1	1	NUM
ap-965	328	39	2	2	NUM
ap-965	328	40	)	)	PUNCT
ap-965	328	41	�	�	PROPN
ap-965	328	42	]	]	PUNCT
ap-965	328	43	.	.	PUNCT
ap-965	329	1	�	�	PROPN
ap-965	329	2	�	�	PROPN
ap-965	329	3	�	�	PROPN
ap-965	329	4	g	g	PROPN
ap-965	329	5	xi	xi	PROPN
ap-965	330	1	i	i	PRON
ap-965	330	2	j	j	PROPN
ap-965	331	1	j	j	PROPN
ap-965	331	2	ijk	ijk	PROPN
ap-965	332	1	i	i	PRON
ap-965	332	2	j	j	PROPN
ap-965	332	3	k	k	PROPN
ap-965	332	4	�	�	PROPN
ap-965	332	5	�	�	PROPN
ap-965	332	6	�	�	PROPN
ap-965	332	7	�	�	PROPN
ap-965	332	8	�	�	PROPN
ap-965	332	9	�	�	PROPN
ap-965	332	10	�	�	PROPN
ap-965	332	11	�	�	PROPN
ap-965	332	12	�	�	PROPN
ap-965	332	13	�	�	PROPN
ap-965	332	14	6	6	NUM
ap-965	332	15	(	(	PUNCT
ap-965	332	16	6.53	6.53	NUM
ap-965	332	17	)	)	PUNCT
ap-965	332	18	iii	iii	PROPN
ap-965	332	19	)	)	PUNCT
ap-965	332	20	the	the	DET
ap-965	332	21	n	n	PROPN
ap-965	332	22	�	�	PROPN
ap-965	332	23	4	4	NUM
ap-965	332	24	(	(	PUNCT
ap-965	332	25	2	2	NUM
ap-965	332	26	,	,	PUNCT
ap-965	332	27	4	4	NUM
ap-965	332	28	,	,	PUNCT
ap-965	332	29	2	2	X
ap-965	332	30	)	)	PUNCT
ap-965	332	31	case	case	NOUN
ap-965	332	32	.	.	PUNCT
ap-965	333	1	we	we	PRON
ap-965	333	2	have	have	VERB
ap-965	333	3	:	:	PUNCT
ap-965	333	4	q	q	X
ap-965	334	1	x	x	PUNCT
ap-965	334	2	y	y	NOUN
ap-965	334	3	g	g	NOUN
ap-965	334	4	h	h	NOUN
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ap-965	335	1	g	g	NOUN
ap-965	335	2	h	h	NOUN
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ap-965	335	5	1	1	NUM
ap-965	335	6	2	2	NUM
ap-965	335	7	3	3	NUM
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ap-965	335	9	3	3	NUM
ap-965	335	10	1	1	NUM
ap-965	335	11	(	(	PUNCT
ap-965	335	12	,	,	PUNCT
ap-965	335	13	;	;	PUNCT
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ap-965	335	16	,	,	PUNCT
ap-965	335	17	;	;	PUNCT
ap-965	335	18	,	,	PUNCT
ap-965	335	19	)	)	PUNCT
ap-965	335	20	(	(	PUNCT
ap-965	335	21	,	,	PUNCT
ap-965	335	22	;	;	PUNCT
ap-965	335	23	�	�	PROPN
ap-965	335	24	,	,	PUNCT
ap-965	335	25	,	,	PUNCT
ap-965	335	26	,	,	PUNCT
ap-965	335	27	�	�	PROPN
ap-965	335	28	;	;	PUNCT
ap-965	335	29	�	�	PROPN
ap-965	335	30	,	,	PUNCT
ap-965	335	31	�	�	PROPN
ap-965	335	32	�	�	PROPN
ap-965	335	33	�	�	PROPN
ap-965	335	34	�	�	PROPN
ap-965	335	35	�	�	PROPN
ap-965	335	36	�	�	PROPN
ap-965	335	37	�	�	PROPN
ap-965	335	38	�	�	PROPN
ap-965	335	39	�	�	PROPN
ap-965	335	40	�	�	PROPN
ap-965	335	41	�	�	PROPN
ap-965	335	42	�	�	PROPN
ap-965	335	43	�	�	PROPN
ap-965	336	1	2	2	NUM
ap-965	336	2	2	2	NUM
ap-965	336	3	0	0	NUM
ap-965	336	4	1	1	NUM
ap-965	336	5	2	2	NUM
ap-965	336	6	3	3	NUM
ap-965	336	7	3	3	NUM
ap-965	336	8	0	0	NUM
ap-965	336	9	2	2	NUM
ap-965	336	10	)	)	PUNCT
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ap-965	336	12	(	(	PUNCT
ap-965	336	13	,	,	PUNCT
ap-965	336	14	;	;	PUNCT
ap-965	336	15	,	,	PUNCT
ap-965	336	16	,	,	PUNCT
ap-965	336	17	,	,	PUNCT
ap-965	336	18	;	;	PUNCT
ap-965	336	19	,	,	PUNCT
ap-965	336	20	)	)	PUNCT
ap-965	336	21	(	(	PUNCT
ap-965	336	22	,	,	PUNCT
ap-965	336	23	;	;	PUNCT
ap-965	336	24	�	�	PROPN
ap-965	336	25	,	,	PUNCT
ap-965	336	26	,	,	PUNCT
ap-965	336	27	,	,	PUNCT
ap-965	336	28	�	�	PROPN
ap-965	336	29	;	;	PUNCT
ap-965	336	30	�	�	PROPN
ap-965	336	31	q	q	NOUN
ap-965	336	32	x	x	NOUN
ap-965	336	33	y	y	PROPN
ap-965	336	34	g	g	PROPN
ap-965	337	1	h	h	NOUN
ap-965	338	1	y	y	NOUN
ap-965	338	2	h	h	NOUN
ap-965	338	3	g	g	PROPN
ap-965	338	4	x	x	X
ap-965	338	5	�	�	PROPN
ap-965	338	6	�	�	PROPN
ap-965	338	7	�	�	PROPN
ap-965	338	8	�	�	PROPN
ap-965	338	9	�	�	PROPN
ap-965	338	10	�	�	PROPN
ap-965	338	11	�	�	PROPN
ap-965	338	12	�	�	PROPN
ap-965	338	13	�	�	PROPN
ap-965	338	14	�	�	PROPN
ap-965	338	15	�	�	PROPN
ap-965	338	16	,	,	PUNCT
ap-965	338	17	�	�	PROPN
ap-965	338	18	)	)	PUNCT
ap-965	338	19	,	,	PUNCT
ap-965	338	20	(	(	PUNCT
ap-965	338	21	,	,	PUNCT
ap-965	338	22	;	;	PUNCT
ap-965	338	23	,	,	PUNCT
ap-965	338	24	,	,	PUNCT
ap-965	338	25	,	,	PUNCT
ap-965	338	26	;	;	PUNCT
ap-965	338	27	,	,	PUNCT
ap-965	338	28	)	)	PUNCT
ap-965	338	29	(	(	PUNCT
ap-965	338	30	,	,	PUNCT
ap-965	338	31	;	;	PUNCT
ap-965	338	32	,	,	PUNCT
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ap-965	338	35	,	,	PUNCT
ap-965	338	36	;	;	PUNCT
ap-965	338	37	�	�	PROPN
ap-965	338	38	�	�	PROPN
ap-965	338	39	�	�	PROPN
ap-965	338	40	�	�	PROPN
ap-965	338	41	�	�	PROPN
ap-965	338	42	�	�	PROPN
ap-965	338	43	�	�	PROPN
ap-965	338	44	�	�	PROPN
ap-965	338	45	�	�	PROPN
ap-965	338	46	�	�	PROPN
ap-965	338	47	�	�	PROPN
ap-965	338	48	�	�	PROPN
ap-965	338	49	1	1	NUM
ap-965	338	50	3	3	NUM
ap-965	338	51	0	0	NUM
ap-965	338	52	1	1	NUM
ap-965	338	53	2	2	NUM
ap-965	338	54	3	3	NUM
ap-965	338	55	2	2	NUM
ap-965	338	56	1q	1q	NUM
ap-965	338	57	x	x	PUNCT
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ap-965	338	60	h	h	NOUN
ap-965	339	1	h	h	NOUN
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ap-965	339	3	x	x	SYM
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ap-965	339	9	�	�	PROPN
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ap-965	339	21	(	(	PUNCT
ap-965	339	22	,	,	PUNCT
ap-965	339	23	;	;	PUNCT
ap-965	339	24	,	,	PUNCT
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ap-965	339	29	�	�	PROPN
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ap-965	339	31	�	�	PROPN
ap-965	339	32	�	�	PROPN
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ap-965	339	36	�	�	PROPN
ap-965	339	37	3	3	NUM
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ap-965	339	39	4	4	NUM
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ap-965	339	41	1	1	NUM
ap-965	339	42	2	2	NUM
ap-965	339	43	3	3	NUM
ap-965	339	44	1	1	NUM
ap-965	339	45	2q	2q	NOUN
ap-965	339	46	x	x	PUNCT
ap-965	339	47	y	y	NOUN
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ap-965	340	1	h	h	NOUN
ap-965	340	2	g	g	NOUN
ap-965	340	3	x	x	X
ap-965	340	4	y	y	PROPN
ap-965	340	5	h	h	NOUN
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ap-965	340	7	�	�	PROPN
ap-965	340	8	,	,	PUNCT
ap-965	340	9	�	�	PROPN
ap-965	340	10	)	)	PUNCT
ap-965	340	11	.	.	PUNCT
ap-965	341	1	�	�	PROPN
ap-965	341	2	�	�	PROPN
ap-965	341	3	0	0	NUM
ap-965	341	4	3	3	NUM
ap-965	341	5	(	(	PUNCT
ap-965	341	6	6.54	6.54	NUM
ap-965	341	7	)	)	PUNCT
ap-965	341	8	the	the	DET
ap-965	341	9	most	most	ADV
ap-965	341	10	general	general	ADJ
ap-965	341	11	invariant	invariant	ADJ
ap-965	341	12	lagrangian	lagrangian	ADJ
ap-965	341	13	l	l	NOUN
ap-965	341	14	of	of	ADP
ap-965	341	15	dimension	dimension	NOUN
ap-965	341	16	d	d	PROPN
ap-965	341	17	�	�	PROPN
ap-965	341	18	2	2	NUM
ap-965	341	19	is	be	AUX
ap-965	341	20	given	give	VERB
ap-965	341	21	by	by	ADP
ap-965	341	22	l	l	NOUN
ap-965	341	23	x	x	X
ap-965	342	1	y	y	NOUN
ap-965	342	2	x	x	SYM
ap-965	342	3	y	y	NOUN
ap-965	342	4	g	g	PROPN
ap-965	342	5	h	h	NOUN
ap-965	343	1	y	y	PROPN
ap-965	343	2	j	j	PROPN
ap-965	343	3	j	j	PROPN
ap-965	343	4	x	x	SYM
ap-965	343	5	�	�	PROPN
ap-965	343	6	�	�	PROPN
ap-965	343	7	�	�	PROPN
ap-965	343	8	�	�	PROPN
ap-965	343	9	�	�	PROPN
ap-965	343	10	�	�	PROPN
ap-965	343	11	�	�	PROPN
ap-965	343	12	�	�	PROPN
ap-965	343	13	�	�	PROPN
ap-965	343	14	�	�	PROPN
ap-965	343	15	�	�	PROPN
ap-965	343	16	�	�	PROPN
ap-965	343	17	�	�	PROPN
ap-965	343	18	�	�	PROPN
ap-965	343	19	�	�	PROPN
ap-965	343	20	�	�	PROPN
ap-965	343	21	�	�	PROPN
ap-965	343	22	�	�	PROPN
ap-965	343	23	(	(	PUNCT
ap-965	343	24	,	,	PUNCT
ap-965	343	25	)	)	PUNCT
ap-965	343	26	[	[	PUNCT
ap-965	343	27	�	�	PROPN
ap-965	343	28	�	�	PROPN
ap-965	343	29	�	�	PROPN
ap-965	343	30	�	�	PROPN
ap-965	343	31	]	]	PUNCT
ap-965	343	32	[	[	PUNCT
ap-965	343	33	�	�	NOUN
ap-965	343	34	2	2	NUM
ap-965	343	35	2	2	NUM
ap-965	343	36	2	2	NUM
ap-965	343	37	2	2	NUM
ap-965	343	38	1	1	NUM
ap-965	343	39	2	2	NUM
ap-965	343	40	0	0	NUM
ap-965	343	41	3	3	NUM
ap-965	343	42	)	)	PUNCT
ap-965	343	43	)	)	PUNCT
ap-965	343	44	)	)	PUNCT
ap-965	343	45	]	]	PUNCT
ap-965	344	1	[	[	PUNCT
ap-965	344	2	�	�	PROPN
ap-965	344	3	)	)	PUNCT
ap-965	344	4	�	�	PROPN
ap-965	344	5	�	�	PROPN
ap-965	344	6	�	�	PROPN
ap-965	344	7	�	�	PROPN
ap-965	344	8	�	�	PROPN
ap-965	344	9	�	�	PROPN
ap-965	344	10	�	�	PROPN
ap-965	344	11	�	�	PROPN
ap-965	344	12	g	g	PROPN
ap-965	345	1	h	h	NOUN
ap-965	345	2	x	x	PROPN
ap-965	345	3	gy	gy	PROPN
ap-965	345	4	�	�	PROPN
ap-965	345	5	�	�	PROPN
ap-965	345	6	�	�	PROPN
ap-965	345	7	�	�	PROPN
ap-965	345	8	�	�	PROPN
ap-965	345	9	�	�	PROPN
ap-965	345	10	�	�	PROPN
ap-965	345	11	�	�	PROPN
ap-965	345	12	�	�	PROPN
ap-965	345	13	�	�	PROPN
ap-965	345	14	�	�	PROPN
ap-965	345	15	�	�	PROPN
ap-965	345	16	�	�	PROPN
ap-965	345	17	�	�	PROPN
ap-965	345	18	�	�	PROPN
ap-965	345	19	�	�	PROPN
ap-965	345	20	�	�	PROPN
ap-965	345	21	2	2	NUM
ap-965	345	22	3	3	NUM
ap-965	345	23	0	0	NUM
ap-965	345	24	1	1	NUM
ap-965	345	25	1	1	NUM
ap-965	345	26	3	3	NUM
ap-965	345	27	0	0	NUM
ap-965	345	28	2	2	NUM
ap-965	345	29	1	1	NUM
ap-965	345	30	2	2	NUM
ap-965	345	31	0	0	NUM
ap-965	345	32	3	3	NUM
ap-965	345	33	�	�	PROPN
ap-965	345	34	�	�	PROPN
ap-965	345	35	�	�	PROPN
ap-965	345	36	�	�	PROPN
ap-965	345	37	�	�	PROPN
ap-965	345	38	�	�	PROPN
ap-965	345	39	�	�	PROPN
ap-965	345	40	�	�	PROPN
ap-965	345	41	�	�	PROPN
ap-965	345	42	�	�	PROPN
ap-965	345	43	�	�	PROPN
ap-965	345	44	�	�	PROPN
ap-965	345	45	�	�	PROPN
ap-965	345	46	1	1	NUM
ap-965	345	47	3	3	NUM
ap-965	345	48	0	0	NUM
ap-965	345	49	2	2	NUM
ap-965	345	50	2	2	NUM
ap-965	345	51	3	3	NUM
ap-965	345	52	0	0	NUM
ap-965	345	53	1	1	NUM
ap-965	345	54	0	0	NUM
ap-965	345	55	1	1	NUM
ap-965	345	56	2	2	NUM
ap-965	345	57	3	3	NUM
ap-965	345	58	�	�	PROPN
ap-965	345	59	�	�	PROPN
ap-965	345	60	�	�	PROPN
ap-965	345	61	�	�	PROPN
ap-965	345	62	)	)	PUNCT
ap-965	345	63	)	)	PUNCT
ap-965	345	64	]	]	PUNCT
ap-965	345	65	.	.	PUNCT
ap-965	346	1	h	h	PROPN
ap-965	346	2	�	�	PROPN
ap-965	346	3	(	(	PUNCT
ap-965	346	4	6.55	6.55	NUM
ap-965	346	5	)	)	PUNCT
ap-965	346	6	iv	iv	X
ap-965	346	7	)	)	PUNCT
ap-965	346	8	the	the	DET
ap-965	346	9	n	n	PROPN
ap-965	346	10	�	�	PROPN
ap-965	346	11	4	4	NUM
ap-965	346	12	(	(	PUNCT
ap-965	346	13	1	1	NUM
ap-965	346	14	,	,	PUNCT
ap-965	346	15	4	4	NUM
ap-965	346	16	,	,	PUNCT
ap-965	346	17	3	3	X
ap-965	346	18	)	)	PUNCT
ap-965	346	19	case	case	NOUN
ap-965	346	20	.	.	PUNCT
ap-965	347	1	we	we	PRON
ap-965	347	2	have	have	VERB
ap-965	347	3	:	:	PUNCT
ap-965	347	4	q	q	X
ap-965	348	1	x	x	PUNCT
ap-965	348	2	g	g	NOUN
ap-965	348	3	g	g	NOUN
ap-965	348	4	x	x	PUNCT
ap-965	348	5	gi	gi	VERB
ap-965	348	6	j	j	PROPN
ap-965	349	1	j	j	INTJ
ap-965	350	1	i	i	PRON
ap-965	350	2	i	i	PRON
ap-965	350	3	ij	ij	VERB
ap-965	350	4	ijk	ijk	PROPN
ap-965	350	5	k	k	PROPN
ap-965	351	1	ij	ij	PROPN
ap-965	351	2	ijk	ijk	PROPN
ap-965	351	3	k	k	PROPN
ap-965	351	4	(	(	PUNCT
ap-965	351	5	;	;	PUNCT
ap-965	351	6	,	,	PUNCT
ap-965	351	7	;	;	PUNCT
ap-965	351	8	)	)	PUNCT
ap-965	351	9	(	(	PUNCT
ap-965	351	10	,	,	PUNCT
ap-965	351	11	�	�	PROPN
ap-965	351	12	;	;	PUNCT
ap-965	351	13	�	�	PROPN
ap-965	351	14	�	�	PROPN
ap-965	351	15	)	)	PUNCT
ap-965	351	16	�	�	PROPN
ap-965	351	17	�	�	PROPN
ap-965	351	18	�	�	PROPN
ap-965	351	19	�	�	PROPN
ap-965	351	20	�	�	PROPN
ap-965	351	21	�	�	PROPN
ap-965	351	22	�	�	PROPN
ap-965	351	23	�	�	PROPN
ap-965	351	24	�	�	PROPN
ap-965	351	25	�	�	PROPN
ap-965	351	26	�	�	PROPN
ap-965	351	27	�	�	PROPN
ap-965	351	28	�	�	PROPN
ap-965	351	29	,	,	PUNCT
ap-965	351	30	(	(	PUNCT
ap-965	351	31	;	;	PUNCT
ap-965	351	32	,	,	PUNCT
ap-965	351	33	;	;	PUNCT
ap-965	351	34	)	)	PUNCT
ap-965	351	35	(	(	PUNCT
ap-965	351	36	;	;	PUNCT
ap-965	351	37	�	�	PROPN
ap-965	351	38	,	,	PUNCT
ap-965	351	39	;	;	PUNCT
ap-965	351	40	�	�	PROPN
ap-965	351	41	)	)	PUNCT
ap-965	351	42	.q	.q	PROPN
ap-965	352	1	x	x	PUNCT
ap-965	352	2	g	g	NOUN
ap-965	352	3	x	x	X
ap-965	352	4	gj	gj	PROPN
ap-965	352	5	j	j	PROPN
ap-965	352	6	j	j	PROPN
ap-965	352	7	j4	j4	PROPN
ap-965	352	8	�	�	PROPN
ap-965	352	9	�	�	PROPN
ap-965	352	10	�	�	PROPN
ap-965	352	11	�	�	PROPN
ap-965	352	12	�	�	PROPN
ap-965	352	13	(	(	PUNCT
ap-965	352	14	6.56	6.56	NUM
ap-965	352	15	)	)	PUNCT
ap-965	352	16	the	the	DET
ap-965	352	17	most	most	ADV
ap-965	352	18	general	general	ADJ
ap-965	352	19	invariant	invariant	ADJ
ap-965	352	20	lagrangian	lagrangian	ADJ
ap-965	352	21	l	l	NOUN
ap-965	352	22	of	of	ADP
ap-965	352	23	dimension	dimension	NOUN
ap-965	352	24	d	d	PROPN
ap-965	352	25	�	�	PROPN
ap-965	352	26	2	2	NUM
ap-965	352	27	is	be	AUX
ap-965	352	28	given	give	VERB
ap-965	352	29	by	by	ADP
ap-965	352	30	l	l	NOUN
ap-965	352	31	x	x	X
ap-965	353	1	x	x	PUNCT
ap-965	353	2	g	g	NOUN
ap-965	353	3	x	x	X
ap-965	353	4	g	g	NOUN
ap-965	353	5	g	g	PROPN
ap-965	354	1	i	i	PRON
ap-965	354	2	i	i	PRON
ap-965	355	1	i	i	PRON
ap-965	355	2	i	i	PRON
ap-965	356	1	i	i	PRON
ap-965	356	2	ijk	ijk	VERB
ap-965	357	1	i	i	PRON
ap-965	357	2	j	j	PROPN
ap-965	357	3	k	k	PROPN
ap-965	357	4	�	�	PROPN
ap-965	357	5	�	�	PROPN
ap-965	357	6	�	�	PROPN
ap-965	357	7	�	�	PROPN
ap-965	357	8	�	�	PROPN
ap-965	357	9	�	�	PROPN
ap-965	357	10	�	�	PROPN
ap-965	357	11	�	�	PROPN
ap-965	357	12	�	�	PROPN
ap-965	357	13	�	�	PROPN
ap-965	357	14	�	�	PROPN
ap-965	357	15	�	�	PROPN
ap-965	357	16	�	�	PROPN
ap-965	357	17	�	�	PROPN
ap-965	357	18	�	�	PROPN
ap-965	357	19	�	�	PROPN
ap-965	357	20	(	(	PUNCT
ap-965	357	21	)	)	PUNCT
ap-965	357	22	[	[	PUNCT
ap-965	357	23	�	�	PROPN
ap-965	357	24	�	�	PROPN
ap-965	357	25	�	�	PROPN
ap-965	357	26	]	]	PUNCT
ap-965	357	27	(	(	PUNCT
ap-965	357	28	)	)	PUNCT
ap-965	357	29	[	[	PUNCT
ap-965	357	30	2	2	NUM
ap-965	357	31	2	2	NUM
ap-965	357	32	1	1	NUM
ap-965	357	33	2	2	NUM
ap-965	357	34	]	]	PUNCT
ap-965	357	35	[	[	PUNCT
ap-965	357	36	]	]	X
ap-965	357	37	.	.	PUNCT
ap-965	357	38	�	�	PROPN
ap-965	357	39	�	�	PROPN
ap-965	357	40	�	�	PROPN
ap-965	357	41	�	�	PROPN
ap-965	357	42	�	�	PROPN
ap-965	357	43	�	�	PROPN
ap-965	357	44	�	�	PROPN
ap-965	357	45	�	�	PROPN
ap-965	357	46	�	�	PROPN
ap-965	357	47	�	�	PROPN
ap-965	357	48	x	x	SYM
ap-965	357	49	ijk	ijk	PROPN
ap-965	358	1	i	i	PRON
ap-965	358	2	j	j	PROPN
ap-965	358	3	k6	k6	PROPN
ap-965	358	4	(	(	PUNCT
ap-965	358	5	6.57	6.57	NUM
ap-965	358	6	)	)	PUNCT
ap-965	358	7	it	it	PRON
ap-965	358	8	is	be	AUX
ap-965	358	9	worth	worth	ADJ
ap-965	358	10	recalling	recall	VERB
ap-965	358	11	that	that	SCONJ
ap-965	358	12	n	n	SYM
ap-965	358	13	�	�	PROPN
ap-965	358	14	4	4	NUM
ap-965	358	15	is	be	AUX
ap-965	358	16	associated	associate	VERB
ap-965	358	17	,	,	PUNCT
ap-965	358	18	as	as	SCONJ
ap-965	358	19	we	we	PRON
ap-965	358	20	have	have	AUX
ap-965	358	21	discussed	discuss	VERB
ap-965	358	22	,	,	PUNCT
ap-965	358	23	to	to	ADP
ap-965	358	24	the	the	DET
ap-965	358	25	algebra	algebra	NOUN
ap-965	358	26	of	of	ADP
ap-965	358	27	the	the	DET
ap-965	358	28	quaternions	quaternion	NOUN
ap-965	358	29	.	.	PUNCT
ap-965	359	1	this	this	PRON
ap-965	359	2	is	be	AUX
ap-965	359	3	why	why	SCONJ
ap-965	359	4	in	in	ADP
ap-965	359	5	cases	case	NOUN
ap-965	359	6	(	(	PUNCT
ap-965	359	7	4	4	NUM
ap-965	359	8	,	,	PUNCT
ap-965	359	9	4	4	NUM
ap-965	359	10	)	)	PUNCT
ap-965	359	11	,	,	PUNCT
ap-965	359	12	(	(	PUNCT
ap-965	359	13	3	3	NUM
ap-965	359	14	,	,	PUNCT
ap-965	359	15	4	4	NUM
ap-965	359	16	,	,	PUNCT
ap-965	359	17	1	1	NUM
ap-965	359	18	)	)	PUNCT
ap-965	359	19	and	and	CCONJ
ap-965	359	20	(	(	PUNCT
ap-965	359	21	1	1	NUM
ap-965	359	22	,	,	PUNCT
ap-965	359	23	4	4	NUM
ap-965	359	24	,	,	PUNCT
ap-965	359	25	3	3	NUM
ap-965	359	26	)	)	PUNCT
ap-965	359	27	the	the	DET
ap-965	359	28	invariant	invariant	ADJ
ap-965	359	29	actions	action	NOUN
ap-965	359	30	can	can	AUX
ap-965	359	31	be	be	AUX
ap-965	359	32	written	write	VERB
ap-965	359	33	by	by	ADP
ap-965	359	34	making	make	VERB
ap-965	359	35	use	use	NOUN
ap-965	359	36	of	of	ADP
ap-965	359	37	the	the	DET
ap-965	359	38	quaternionic	quaternionic	ADJ
ap-965	359	39	tensors	tensor	NOUN
ap-965	359	40	ij	ij	INTJ
ap-965	359	41	and	and	CCONJ
ap-965	359	42	�	�	PROPN
ap-965	359	43	ijk	ijk	PROPN
ap-965	359	44	.	.	PUNCT
ap-965	360	1	in	in	ADP
ap-965	360	2	the	the	DET
ap-965	360	3	(	(	PUNCT
ap-965	360	4	2	2	NUM
ap-965	360	5	,	,	PUNCT
ap-965	360	6	4	4	NUM
ap-965	360	7	,	,	PUNCT
ap-965	360	8	2	2	X
ap-965	360	9	)	)	PUNCT
ap-965	360	10	case	case	NOUN
ap-965	360	11	two	two	NUM
ap-965	360	12	fields	field	NOUN
ap-965	360	13	are	be	AUX
ap-965	360	14	dressed	dress	VERB
ap-965	360	15	to	to	PART
ap-965	360	16	be	be	AUX
ap-965	360	17	auxiliary	auxiliary	ADJ
ap-965	360	18	fields	field	NOUN
ap-965	360	19	and	and	CCONJ
ap-965	360	20	this	this	PRON
ap-965	360	21	spoils	spoil	VERB
ap-965	360	22	the	the	DET
ap-965	360	23	quaternionic	quaternionic	ADJ
ap-965	360	24	covariance	covariance	NOUN
ap-965	360	25	property	property	NOUN
ap-965	360	26	.	.	PUNCT
ap-965	361	1	7	7	NUM
ap-965	361	2	octonions	octonion	NOUN
ap-965	361	3	and	and	CCONJ
ap-965	361	4	n	n	PRON
ap-965	361	5	�	�	PROPN
ap-965	361	6	8	8	NUM
ap-965	361	7	sigma	sigma	NOUN
ap-965	361	8	-	-	PUNCT
ap-965	361	9	models	model	NOUN
ap-965	361	10	just	just	ADV
ap-965	361	11	as	as	SCONJ
ap-965	361	12	the	the	DET
ap-965	361	13	n	n	PRON
ap-965	361	14	�	�	PROPN
ap-965	361	15	4	4	NUM
ap-965	361	16	supersymmetry	supersymmetry	NOUN
ap-965	361	17	is	be	AUX
ap-965	361	18	related	relate	VERB
ap-965	361	19	with	with	ADP
ap-965	361	20	the	the	DET
ap-965	361	21	algebra	algebra	NOUN
ap-965	361	22	of	of	ADP
ap-965	361	23	quaternions	quaternion	NOUN
ap-965	361	24	,	,	PUNCT
ap-965	361	25	the	the	DET
ap-965	361	26	n	n	PRON
ap-965	361	27	�	�	NOUN
ap-965	361	28	8	8	NUM
ap-965	361	29	supersymmetry	supersymmetry	NOUN
ap-965	361	30	is	be	AUX
ap-965	361	31	related	relate	VERB
ap-965	361	32	with	with	ADP
ap-965	361	33	the	the	DET
ap-965	361	34	algebra	algebra	NOUN
ap-965	361	35	of	of	ADP
ap-965	361	36	the	the	DET
ap-965	361	37	octonions	octonion	NOUN
ap-965	361	38	.	.	PUNCT
ap-965	362	1	more	more	ADV
ap-965	362	2	specifically	specifically	ADV
ap-965	362	3	,	,	PUNCT
ap-965	362	4	it	it	PRON
ap-965	362	5	can	can	AUX
ap-965	362	6	be	be	AUX
ap-965	362	7	proven	prove	VERB
ap-965	362	8	that	that	SCONJ
ap-965	362	9	the	the	DET
ap-965	362	10	n	n	PRON
ap-965	362	11	�	�	NOUN
ap-965	362	12	8	8	NUM
ap-965	362	13	supersymmetry	supersymmetry	NOUN
ap-965	362	14	can	can	AUX
ap-965	362	15	be	be	AUX
ap-965	362	16	produced	produce	VERB
ap-965	362	17	from	from	ADP
ap-965	362	18	the	the	DET
ap-965	362	19	lifting	lifting	NOUN
ap-965	362	20	of	of	ADP
ap-965	362	21	the	the	DET
ap-965	362	22	cl(0	cl(0	NOUN
ap-965	362	23	,	,	PUNCT
ap-965	362	24	7	7	X
ap-965	362	25	)	)	PUNCT
ap-965	362	26	clifford	clifford	PROPN
ap-965	362	27	algebra	algebra	PROPN
ap-965	362	28	to	to	ADP
ap-965	362	29	cl(0	cl(0	PROPN
ap-965	362	30	,	,	PUNCT
ap-965	362	31	9	9	NUM
ap-965	362	32	)	)	PUNCT
ap-965	362	33	.	.	PUNCT
ap-965	363	1	on	on	ADP
ap-965	363	2	the	the	DET
ap-965	363	3	other	other	ADJ
ap-965	363	4	hand	hand	NOUN
ap-965	363	5	,	,	PUNCT
ap-965	363	6	it	it	PRON
ap-965	363	7	is	be	AUX
ap-965	363	8	well	well	ADV
ap-965	363	9	-	-	PUNCT
ap-965	363	10	known	know	VERB
ap-965	363	11	,	,	PUNCT
ap-965	363	12	as	as	SCONJ
ap-965	363	13	we	we	PRON
ap-965	363	14	have	have	AUX
ap-965	363	15	discussed	discuss	VERB
ap-965	363	16	before	before	ADV
ap-965	363	17	,	,	PUNCT
ap-965	363	18	that	that	SCONJ
ap-965	363	19	the	the	DET
ap-965	363	20	seven	seven	NUM
ap-965	363	21	8×8	8×8	NUM
ap-965	363	22	antisymmetric	antisymmetric	ADJ
ap-965	363	23	gamma	gamma	NOUN
ap-965	363	24	matrices	matrix	NOUN
ap-965	363	25	of	of	ADP
ap-965	363	26	cl(0	cl(0	NOUN
ap-965	363	27	,	,	PUNCT
ap-965	363	28	7	7	NUM
ap-965	363	29	)	)	PUNCT
ap-965	363	30	can	can	AUX
ap-965	363	31	be	be	AUX
ap-965	363	32	recovered	recover	VERB
ap-965	363	33	by	by	ADP
ap-965	363	34	the	the	DET
ap-965	363	35	left	left	ADJ
ap-965	363	36	-	-	PUNCT
ap-965	363	37	action	action	NOUN
ap-965	363	38	of	of	ADP
ap-965	363	39	the	the	DET
ap-965	363	40	imaginary	imaginary	ADJ
ap-965	363	41	octonions	octonion	NOUN
ap-965	363	42	on	on	ADP
ap-965	363	43	the	the	DET
ap-965	363	44	octonionic	octonionic	ADJ
ap-965	363	45	space	space	NOUN
ap-965	363	46	.	.	PUNCT
ap-965	364	1	as	as	ADP
ap-965	364	2	a	a	DET
ap-965	364	3	result	result	NOUN
ap-965	364	4	,	,	PUNCT
ap-965	364	5	the	the	DET
ap-965	364	6	entries	entry	NOUN
ap-965	364	7	of	of	ADP
ap-965	364	8	the	the	DET
ap-965	364	9	seven	seven	NUM
ap-965	364	10	antisymmetric	antisymmetric	ADJ
ap-965	364	11	gamma	gamma	NOUN
ap-965	364	12	-	-	PUNCT
ap-965	364	13	matrices	matrix	NOUN
ap-965	364	14	of	of	ADP
ap-965	364	15	cl(0	cl(0	NOUN
ap-965	364	16	,	,	PUNCT
ap-965	364	17	7	7	NUM
ap-965	364	18	)	)	PUNCT
ap-965	364	19	can	can	AUX
ap-965	364	20	be	be	AUX
ap-965	364	21	expressed	express	VERB
ap-965	364	22	in	in	ADP
ap-965	364	23	terms	term	NOUN
ap-965	364	24	of	of	ADP
ap-965	364	25	the	the	DET
ap-965	364	26	totally	totally	ADV
ap-965	364	27	antisymmetric	antisymmetric	ADJ
ap-965	364	28	octonionic	octonionic	ADJ
ap-965	364	29	structure	structure	NOUN
ap-965	364	30	constants	constant	NOUN
ap-965	364	31	cijk	cijk	NOUN
ap-965	364	32	’s	’s	X
ap-965	364	33	.	.	PUNCT
ap-965	365	1	the	the	DET
ap-965	365	2	non	non	ADJ
ap-965	365	3	-	-	ADJ
ap-965	365	4	vanishing	vanishing	ADJ
ap-965	365	5	cijk	cijk	NOUN
ap-965	365	6	’s	’	VERB
ap-965	365	7	are	be	AUX
ap-965	365	8	given	give	VERB
ap-965	365	9	by	by	ADP
ap-965	365	10	c	c	PROPN
ap-965	365	11	c	c	AUX
ap-965	365	12	c	c	NOUN
ap-965	365	13	c	c	NOUN
ap-965	365	14	c	c	NOUN
ap-965	365	15	c	c	PROPN
ap-965	365	16	c123	c123	PROPN
ap-965	365	17	147	147	NUM
ap-965	365	18	165	165	NUM
ap-965	365	19	246	246	NUM
ap-965	365	20	257	257	NUM
ap-965	365	21	354	354	NUM
ap-965	365	22	367	367	NUM
ap-965	365	23	1	1	NUM
ap-965	365	24	�	�	PROPN
ap-965	365	25	�	�	PROPN
ap-965	365	26	�	�	PROPN
ap-965	365	27	�	�	PROPN
ap-965	365	28	�	�	PROPN
ap-965	365	29	�	�	PROPN
ap-965	365	30	�	�	PROPN
ap-965	365	31	(	(	PUNCT
ap-965	365	32	7.58	7.58	NUM
ap-965	365	33	)	)	PUNCT
ap-965	365	34	the	the	DET
ap-965	365	35	non	non	ADJ
ap-965	365	36	-	-	ADJ
ap-965	365	37	vanishing	vanishing	ADJ
ap-965	365	38	octonionic	octonionic	ADJ
ap-965	365	39	structure	structure	NOUN
ap-965	365	40	constants	constant	NOUN
ap-965	365	41	are	be	AUX
ap-965	365	42	associated	associate	VERB
ap-965	365	43	with	with	ADP
ap-965	365	44	the	the	DET
ap-965	365	45	seven	seven	NUM
ap-965	365	46	lines	line	NOUN
ap-965	365	47	of	of	ADP
ap-965	365	48	the	the	DET
ap-965	365	49	fano	fano	PROPN
ap-965	365	50	projective	projective	PROPN
ap-965	365	51	plane	plane	NOUN
ap-965	365	52	,	,	PUNCT
ap-965	365	53	the	the	DET
ap-965	365	54	smallest	small	ADJ
ap-965	365	55	example	example	NOUN
ap-965	365	56	of	of	ADP
ap-965	365	57	a	a	DET
ap-965	365	58	finite	finite	PROPN
ap-965	365	59	projective	projective	PROPN
ap-965	365	60	geometry	geometry	NOUN
ap-965	365	61	,	,	PUNCT
ap-965	365	62	see	see	VERB
ap-965	365	63	[	[	X
ap-965	365	64	24	24	NUM
ap-965	365	65	]	]	PUNCT
ap-965	365	66	.	.	PUNCT
ap-965	366	1	the	the	DET
ap-965	366	2	n	n	PROPN
ap-965	366	3	�	�	NOUN
ap-965	366	4	8	8	NUM
ap-965	366	5	supersymmetry	supersymmetry	NOUN
ap-965	366	6	transformations	transformation	NOUN
ap-965	366	7	of	of	ADP
ap-965	366	8	the	the	DET
ap-965	366	9	various	various	ADJ
ap-965	366	10	irreps	irrep	NOUN
ap-965	366	11	can	can	AUX
ap-965	366	12	,	,	PUNCT
ap-965	366	13	as	as	ADP
ap-965	366	14	a	a	DET
ap-965	366	15	consequence	consequence	NOUN
ap-965	366	16	,	,	PUNCT
ap-965	366	17	be	be	AUX
ap-965	366	18	expressed	express	VERB
ap-965	366	19	in	in	ADP
ap-965	366	20	terms	term	NOUN
ap-965	366	21	of	of	ADP
ap-965	366	22	octonionic	octonionic	ADJ
ap-965	366	23	structure	structure	NOUN
ap-965	366	24	constants	constant	NOUN
ap-965	366	25	.	.	PUNCT
ap-965	367	1	this	this	PRON
ap-965	367	2	is	be	AUX
ap-965	367	3	in	in	ADP
ap-965	367	4	particular	particular	ADJ
ap-965	367	5	true	true	ADJ
ap-965	367	6	for	for	ADP
ap-965	367	7	the	the	DET
ap-965	367	8	dressed	dress	VERB
ap-965	367	9	(	(	PUNCT
ap-965	367	10	1	1	NUM
ap-965	367	11	,	,	PUNCT
ap-965	367	12	8	8	NUM
ap-965	367	13	,	,	PUNCT
ap-965	367	14	7	7	NUM
ap-965	367	15	)	)	PUNCT
ap-965	367	16	multiplet	multiplet	NOUN
ap-965	367	17	,	,	PUNCT
ap-965	367	18	admitting	admit	VERB
ap-965	367	19	seven	seven	NUM
ap-965	367	20	fields	field	NOUN
ap-965	367	21	which	which	PRON
ap-965	367	22	are	be	AUX
ap-965	367	23	“	"	PUNCT
ap-965	367	24	dressed	dressed	ADJ
ap-965	367	25	”	"	PUNCT
ap-965	367	26	to	to	PART
ap-965	367	27	become	become	VERB
ap-965	367	28	auxiliary	auxiliary	ADJ
ap-965	367	29	fields	field	NOUN
ap-965	367	30	.	.	PUNCT
ap-965	368	1	this	this	PRON
ap-965	368	2	is	be	AUX
ap-965	368	3	an	an	DET
ap-965	368	4	example	example	NOUN
ap-965	368	5	of	of	ADP
ap-965	368	6	a	a	DET
ap-965	368	7	multiplet	multiplet	NOUN
ap-965	368	8	which	which	PRON
ap-965	368	9	preserves	preserve	VERB
ap-965	368	10	the	the	DET
ap-965	368	11	octonionic	octonionic	ADJ
ap-965	368	12	structure	structure	NOUN
ap-965	368	13	since	since	SCONJ
ap-965	368	14	the	the	DET
ap-965	368	15	seven	seven	NUM
ap-965	368	16	dressed	dressed	ADJ
ap-965	368	17	fields	field	NOUN
ap-965	368	18	are	be	AUX
ap-965	368	19	related	relate	VERB
ap-965	368	20	to	to	ADP
ap-965	368	21	the	the	DET
ap-965	368	22	seven	seven	NUM
ap-965	368	23	imaginary	imaginary	ADJ
ap-965	368	24	octonions	octonion	NOUN
ap-965	368	25	.	.	PUNCT
ap-965	369	1	we	we	PRON
ap-965	369	2	have	have	VERB
ap-965	369	3	that	that	SCONJ
ap-965	369	4	the	the	DET
ap-965	369	5	supersymmetry	supersymmetry	NOUN
ap-965	369	6	transformations	transformation	NOUN
ap-965	369	7	are	be	AUX
ap-965	369	8	given	give	VERB
ap-965	369	9	by	by	ADP
ap-965	369	10	q	q	NOUN
ap-965	370	1	x	x	NOUN
ap-965	370	2	g	g	NOUN
ap-965	370	3	g	g	PROPN
ap-965	370	4	x	x	SYM
ap-965	370	5	c	c	PROPN
ap-965	370	6	g	g	PROPN
ap-965	370	7	ci	ci	PROPN
ap-965	371	1	j	j	PROPN
ap-965	372	1	j	j	PROPN
ap-965	373	1	i	i	PRON
ap-965	374	1	i	i	PRON
ap-965	375	1	ij	ij	VERB
ap-965	376	1	ijk	ijk	PROPN
ap-965	376	2	k	k	PROPN
ap-965	376	3	ij	ij	PROPN
ap-965	376	4	ijk	ijk	PROPN
ap-965	376	5	k	k	PROPN
ap-965	376	6	(	(	PUNCT
ap-965	376	7	;	;	PUNCT
ap-965	376	8	,	,	PUNCT
ap-965	376	9	;	;	PUNCT
ap-965	376	10	)	)	PUNCT
ap-965	376	11	(	(	PUNCT
ap-965	376	12	,	,	PUNCT
ap-965	376	13	�	�	PROPN
ap-965	376	14	;	;	PUNCT
ap-965	376	15	�	�	PROPN
ap-965	376	16	�	�	PROPN
ap-965	376	17	)	)	PUNCT
ap-965	376	18	�	�	PROPN
ap-965	376	19	�	�	PROPN
ap-965	376	20	�	�	PROPN
ap-965	376	21	�	�	PROPN
ap-965	376	22	�	�	PROPN
ap-965	376	23	�	�	PROPN
ap-965	376	24	�	�	PROPN
ap-965	376	25	�	�	PROPN
ap-965	376	26	�	�	PROPN
ap-965	376	27	�	�	PROPN
ap-965	376	28	�	�	PROPN
ap-965	376	29	,	,	PUNCT
ap-965	376	30	(	(	PUNCT
ap-965	376	31	;	;	PUNCT
ap-965	376	32	,	,	PUNCT
ap-965	376	33	;	;	PUNCT
ap-965	376	34	)	)	PUNCT
ap-965	376	35	(	(	PUNCT
ap-965	376	36	;	;	PUNCT
ap-965	376	37	�	�	PROPN
ap-965	376	38	,	,	PUNCT
ap-965	376	39	;	;	PUNCT
ap-965	376	40	�	�	PROPN
ap-965	376	41	)	)	PUNCT
ap-965	376	42	.q	.q	PROPN
ap-965	377	1	x	x	PUNCT
ap-965	377	2	g	g	NOUN
ap-965	377	3	x	x	X
ap-965	377	4	gj	gj	PROPN
ap-965	377	5	j	j	PROPN
ap-965	377	6	j	j	PROPN
ap-965	377	7	j8	j8	PROPN
ap-965	377	8	�	�	PROPN
ap-965	377	9	�	�	PROPN
ap-965	377	10	�	�	PROPN
ap-965	377	11	�	�	PROPN
ap-965	377	12	�	�	PROPN
ap-965	377	13	(	(	PUNCT
ap-965	377	14	7.59	7.59	NUM
ap-965	377	15	)	)	PUNCT
ap-965	377	16	for	for	ADP
ap-965	377	17	i	i	PRON
ap-965	377	18	j	j	PROPN
ap-965	378	1	k	k	NOUN
ap-965	378	2	,	,	PUNCT
ap-965	378	3	,	,	PUNCT
ap-965	378	4	,	,	PUNCT
ap-965	378	5	,	,	PUNCT
ap-965	378	6	�	�	PROPN
ap-965	378	7	1	1	NUM
ap-965	378	8	7	7	NUM
ap-965	378	9	�	�	PROPN
ap-965	378	10	.	.	PUNCT
ap-965	379	1	the	the	DET
ap-965	379	2	strategy	strategy	NOUN
ap-965	379	3	for	for	ADP
ap-965	379	4	constructing	construct	VERB
ap-965	379	5	the	the	DET
ap-965	379	6	most	most	ADV
ap-965	379	7	general	general	ADJ
ap-965	379	8	n	n	X
ap-965	379	9	�	�	PROPN
ap-965	379	10	8	8	NUM
ap-965	379	11	off	off	ADP
ap-965	379	12	-	-	PUNCT
ap-965	379	13	shell	shell	NOUN
ap-965	379	14	invariant	invariant	ADJ
ap-965	379	15	action	action	NOUN
ap-965	379	16	of	of	ADP
ap-965	379	17	the	the	DET
ap-965	379	18	(	(	PUNCT
ap-965	379	19	1	1	NUM
ap-965	379	20	,	,	PUNCT
ap-965	379	21	8	8	NUM
ap-965	379	22	,	,	PUNCT
ap-965	379	23	7	7	X
ap-965	379	24	)	)	PUNCT
ap-965	379	25	multiplet	multiplet	NOUN
ap-965	379	26	makes	make	VERB
ap-965	379	27	use	use	NOUN
ap-965	379	28	of	of	ADP
ap-965	379	29	the	the	DET
ap-965	379	30	octonionic	octonionic	ADJ
ap-965	379	31	covariantization	covariantization	NOUN
ap-965	379	32	principle	principle	NOUN
ap-965	379	33	.	.	PUNCT
ap-965	380	1	when	when	SCONJ
ap-965	380	2	restricted	restrict	VERB
ap-965	380	3	to	to	ADP
ap-965	380	4	an	an	DET
ap-965	380	5	n	n	PRON
ap-965	380	6	�	�	PROPN
ap-965	380	7	4	4	NUM
ap-965	380	8	subalgebra	subalgebra	NOUN
ap-965	380	9	,	,	PUNCT
ap-965	380	10	the	the	DET
ap-965	380	11	invariant	invariant	ADJ
ap-965	380	12	actions	action	NOUN
ap-965	380	13	should	should	AUX
ap-965	380	14	have	have	VERB
ap-965	380	15	the	the	DET
ap-965	380	16	form	form	NOUN
ap-965	380	17	of	of	ADP
ap-965	380	18	the	the	DET
ap-965	380	19	n	n	PRON
ap-965	380	20	�	�	PROPN
ap-965	380	21	4	4	NUM
ap-965	380	22	(	(	PUNCT
ap-965	380	23	1	1	NUM
ap-965	380	24	,	,	PUNCT
ap-965	380	25	4	4	NUM
ap-965	380	26	,	,	PUNCT
ap-965	380	27	3	3	X
ap-965	380	28	)	)	PUNCT
ap-965	380	29	action	action	NOUN
ap-965	380	30	(	(	PUNCT
ap-965	380	31	6.57	6.57	NUM
ap-965	380	32	)	)	PUNCT
ap-965	380	33	.	.	PUNCT
ap-965	381	1	this	this	DET
ap-965	381	2	restriction	restriction	NOUN
ap-965	381	3	can	can	AUX
ap-965	381	4	be	be	AUX
ap-965	381	5	made	make	VERB
ap-965	381	6	in	in	ADP
ap-965	381	7	seven	seven	NUM
ap-965	381	8	non	non	ADJ
ap-965	381	9	-	-	ADJ
ap-965	381	10	equivalent	equivalent	ADJ
ap-965	381	11	ways	way	NOUN
ap-965	381	12	(	(	PUNCT
ap-965	381	13	the	the	DET
ap-965	381	14	seven	seven	NUM
ap-965	381	15	lines	line	NOUN
ap-965	381	16	of	of	ADP
ap-965	381	17	the	the	DET
ap-965	381	18	fano	fano	PROPN
ap-965	381	19	plane	plane	NOUN
ap-965	381	20	)	)	PUNCT
ap-965	381	21	.	.	PUNCT
ap-965	382	1	the	the	DET
ap-965	382	2	general	general	ADJ
ap-965	382	3	n	n	PRON
ap-965	382	4	�	�	NOUN
ap-965	382	5	8	8	NUM
ap-965	382	6	action	action	NOUN
ap-965	382	7	should	should	AUX
ap-965	382	8	be	be	AUX
ap-965	382	9	expressed	express	VERB
ap-965	382	10	in	in	ADP
ap-965	382	11	terms	term	NOUN
ap-965	382	12	of	of	ADP
ap-965	382	13	octonionic	octonionic	ADJ
ap-965	382	14	structure	structure	NOUN
ap-965	382	15	constants	constant	NOUN
ap-965	382	16	.	.	PUNCT
ap-965	383	1	with	with	ADP
ap-965	383	2	respect	respect	NOUN
ap-965	383	3	to	to	ADP
ap-965	383	4	(	(	PUNCT
ap-965	383	5	6.57	6.57	NUM
ap-965	383	6	)	)	PUNCT
ap-965	383	7	,	,	PUNCT
ap-965	383	8	an	an	DET
ap-965	383	9	extra	extra	ADJ
ap-965	383	10	-	-	PUNCT
ap-965	383	11	term	term	NOUN
ap-965	383	12	could	could	AUX
ap-965	383	13	in	in	ADP
ap-965	383	14	principle	principle	NOUN
ap-965	383	15	be	be	AUX
ap-965	383	16	present	present	ADJ
ap-965	383	17	.	.	PUNCT
ap-965	384	1	it	it	PRON
ap-965	384	2	is	be	AUX
ap-965	384	3	given	give	VERB
ap-965	384	4	by	by	ADP
ap-965	384	5	�	�	PROPN
ap-965	384	6	dt	dt	NOUN
ap-965	384	7	x	x	SYM
ap-965	384	8	cijk	cijk	NOUN
ap-965	384	9	i	i	NOUN
ap-965	384	10	j	j	PROPN
ap-965	384	11	k	k	PROPN
ap-965	384	12	l	l	PROPN
ap-965	384	13	�	�	PROPN
ap-965	384	14	�	�	PROPN
ap-965	384	15	�	�	PROPN
ap-965	384	16	�	�	PROPN
ap-965	384	17	�	�	PROPN
ap-965	384	18	(	(	PUNCT
ap-965	384	19	)	)	PUNCT
ap-965	384	20	and	and	CCONJ
ap-965	384	21	is	be	AUX
ap-965	384	22	constructed	construct	VERB
ap-965	384	23	in	in	ADP
ap-965	384	24	terms	term	NOUN
ap-965	384	25	of	of	ADP
ap-965	384	26	the	the	DET
ap-965	384	27	octonionic	octonionic	ADJ
ap-965	384	28	tensor	tensor	NOUN
ap-965	384	29	of	of	ADP
ap-965	384	30	rank	rank	NOUN
ap-965	384	31	4	4	NUM
ap-965	384	32	c	c	PROPN
ap-965	384	33	cijkl	cijkl	PROPN
ap-965	384	34	ijklmnp	ijklmnp	PROPN
ap-965	384	35	mnp	mnp	PROPN
ap-965	384	36	�	�	PROPN
ap-965	384	37	1	1	NUM
ap-965	384	38	6	6	NUM
ap-965	384	39	�	�	PROPN
ap-965	384	40	(	(	PUNCT
ap-965	384	41	7.60	7.60	NUM
ap-965	384	42	)	)	PUNCT
ap-965	384	43	(	(	PUNCT
ap-965	384	44	where	where	SCONJ
ap-965	384	45	�	�	PROPN
ap-965	384	46	ijklmnp	ijklmnp	PROPN
ap-965	384	47	is	be	AUX
ap-965	384	48	the	the	DET
ap-965	384	49	seven	seven	NUM
ap-965	384	50	-	-	PUNCT
ap-965	384	51	index	index	NOUN
ap-965	384	52	totally	totally	ADV
ap-965	384	53	antisymmetric	antisymmetric	ADJ
ap-965	384	54	tensor	tensor	NOUN
ap-965	384	55	)	)	PUNCT
ap-965	384	56	.	.	PUNCT
ap-965	385	1	please	please	INTJ
ap-965	385	2	note	note	VERB
ap-965	385	3	that	that	SCONJ
ap-965	385	4	the	the	DET
ap-965	385	5	rank-4	rank-4	NUM
ap-965	385	6	tensor	tensor	NOUN
ap-965	385	7	is	be	AUX
ap-965	385	8	obviously	obviously	ADV
ap-965	385	9	vanishing	vanish	VERB
ap-965	385	10	when	when	SCONJ
ap-965	385	11	restricting	restrict	VERB
ap-965	385	12	to	to	ADP
ap-965	385	13	the	the	DET
ap-965	385	14	quaternionic	quaternionic	ADJ
ap-965	385	15	subspace	subspace	NOUN
ap-965	385	16	.	.	PUNCT
ap-965	386	1	one	one	NUM
ap-965	386	2	immedi	immedi	NOUN
ap-965	386	3	©	©	PROPN
ap-965	386	4	czech	czech	PROPN
ap-965	386	5	technical	technical	PROPN
ap-965	386	6	university	university	PROPN
ap-965	386	7	publishing	publishing	NOUN
ap-965	386	8	house	house	NOUN
ap-965	386	9	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	386	10	67	67	NUM
ap-965	386	11	acta	acta	PROPN
ap-965	386	12	polytechnica	polytechnica	PROPN
ap-965	386	13	vol	vol	NOUN
ap-965	386	14	.	.	PUNCT
ap-965	387	1	48	48	NUM
ap-965	387	2	no	no	NOUN
ap-965	387	3	.	.	PUNCT
ap-965	388	1	2/2008	2/2008	NUM
ap-965	388	2	ately	ately	ADV
ap-965	388	3	verifies	verifie	NOUN
ap-965	388	4	that	that	SCONJ
ap-965	388	5	the	the	DET
ap-965	388	6	term	term	NOUN
ap-965	388	7	�	�	PROPN
ap-965	388	8	dt	dt	NOUN
ap-965	388	9	x	x	SYM
ap-965	388	10	cijk	cijk	NOUN
ap-965	388	11	i	i	NOUN
ap-965	388	12	j	j	PROPN
ap-965	388	13	k	k	PROPN
ap-965	388	14	l	l	PROPN
ap-965	388	15	�	�	PROPN
ap-965	388	16	�	�	PROPN
ap-965	388	17	�	�	PROPN
ap-965	388	18	�	�	PROPN
ap-965	388	19	�	�	PROPN
ap-965	388	20	(	(	PUNCT
ap-965	388	21	)	)	PUNCT
ap-965	388	22	breaks	break	VERB
ap-965	388	23	the	the	DET
ap-965	388	24	n	n	PROPN
ap-965	388	25	�	�	NOUN
ap-965	388	26	8supersymmetries	8supersymmetrie	NOUN
ap-965	388	27	and	and	CCONJ
ap-965	388	28	can	can	AUX
ap-965	388	29	not	not	PART
ap-965	388	30	enter	enter	VERB
ap-965	388	31	the	the	DET
ap-965	388	32	invariant	invariant	ADJ
ap-965	388	33	action	action	NOUN
ap-965	388	34	.	.	PUNCT
ap-965	389	1	as	as	SCONJ
ap-965	389	2	concerns	concern	NOUN
ap-965	389	3	the	the	DET
ap-965	389	4	other	other	ADJ
ap-965	389	5	terms	term	NOUN
ap-965	389	6	,	,	PUNCT
ap-965	389	7	starting	start	VERB
ap-965	389	8	from	from	ADP
ap-965	389	9	the	the	DET
ap-965	389	10	general	general	ADJ
ap-965	389	11	action	action	NOUN
ap-965	389	12	(	(	PUNCT
ap-965	389	13	with	with	ADP
ap-965	389	14	i	i	PRON
ap-965	389	15	j	j	PROPN
ap-965	389	16	k	k	NOUN
ap-965	389	17	,	,	PUNCT
ap-965	389	18	,	,	PUNCT
ap-965	389	19	,	,	PUNCT
ap-965	389	20	,	,	PUNCT
ap-965	389	21	�	�	PROPN
ap-965	389	22	1	1	NUM
ap-965	389	23	7	7	NUM
ap-965	389	24	�	�	PROPN
ap-965	389	25	)	)	PUNCT
ap-965	389	26	�	�	PROPN
ap-965	389	27	s	s	PART
ap-965	389	28	t	t	NOUN
ap-965	389	29	x	x	PUNCT
ap-965	389	30	x	x	PUNCT
ap-965	389	31	g	g	NOUN
ap-965	389	32	x	x	X
ap-965	389	33	g	g	NOUN
ap-965	390	1	c	c	NOUN
ap-965	391	1	g	g	NOUN
ap-965	392	1	i	i	PRON
ap-965	393	1	i	i	PRON
ap-965	394	1	i	i	PRON
ap-965	395	1	i	i	PRON
ap-965	396	1	i	i	PRON
ap-965	396	2	ijk	ijk	PROPN
ap-965	397	1	i	i	PRON
ap-965	397	2	�	�	PROPN
ap-965	397	3	�	�	PROPN
ap-965	397	4	�	�	PROPN
ap-965	397	5	�	�	PROPN
ap-965	397	6	�	�	PROPN
ap-965	397	7	�	�	PROPN
ap-965	397	8	�	�	PROPN
ap-965	397	9	�	�	PROPN
ap-965	397	10	d	d	PROPN
ap-965	397	11	�	�	PROPN
ap-965	397	12	�	�	PROPN
ap-965	397	13	�	�	PROPN
ap-965	397	14	�	�	PROPN
ap-965	397	15	�	�	PROPN
ap-965	397	16	�	�	PROPN
ap-965	397	17	�	�	PROPN
ap-965	397	18	(	(	PUNCT
ap-965	397	19	)	)	PUNCT
ap-965	397	20	[	[	PUNCT
ap-965	397	21	�	�	PROPN
ap-965	397	22	�	�	PROPN
ap-965	397	23	�	�	PROPN
ap-965	397	24	]	]	PUNCT
ap-965	397	25	(	(	PUNCT
ap-965	397	26	)	)	PUNCT
ap-965	397	27	[	[	PUNCT
ap-965	397	28	2	2	NUM
ap-965	397	29	2	2	NUM
ap-965	397	30	1	1	NUM
ap-965	397	31	2	2	NUM
ap-965	397	32	�	�	PROPN
ap-965	397	33	j	j	PROPN
ap-965	397	34	k	k	PROPN
ap-965	397	35	ijk	ijk	PROPN
ap-965	398	1	i	i	PRON
ap-965	398	2	j	j	PROPN
ap-965	399	1	k	k	NOUN
ap-965	399	2	x	x	X
ap-965	399	3	c	c	PROPN
ap-965	399	4	�	�	PROPN
ap-965	399	5	�	�	PROPN
ap-965	399	6	�	�	PROPN
ap-965	399	7	�	�	PROPN
ap-965	399	8	�	�	PROPN
ap-965	399	9	]	]	PUNCT
ap-965	399	10	(	(	PUNCT
ap-965	399	11	)	)	PUNCT
ap-965	399	12	[	[	PUNCT
ap-965	399	13	]	]	X
ap-965	399	14	�	�	PROPN
ap-965	399	15	�	�	PROPN
ap-965	399	16	�	�	PROPN
ap-965	399	17	6	6	NUM
ap-965	399	18	(	(	PUNCT
ap-965	399	19	7.61	7.61	NUM
ap-965	399	20	)	)	PUNCT
ap-965	399	21	we	we	PRON
ap-965	399	22	can	can	AUX
ap-965	399	23	prove	prove	VERB
ap-965	399	24	that	that	SCONJ
ap-965	399	25	the	the	DET
ap-965	399	26	invariance	invariance	NOUN
ap-965	399	27	under	under	ADP
ap-965	399	28	the	the	DET
ap-965	399	29	qi	qi	NOUN
ap-965	399	30	generator	generator	NOUN
ap-965	399	31	(	(	PUNCT
ap-965	399	32	,	,	PUNCT
ap-965	399	33	,	,	PUNCT
ap-965	399	34	)	)	PUNCT
ap-965	399	35	�	�	PROPN
ap-965	399	36	1	1	NUM
ap-965	399	37	7	7	NUM
ap-965	399	38	�	�	PROPN
ap-965	399	39	is	be	AUX
ap-965	399	40	broken	break	VERB
ap-965	399	41	by	by	ADP
ap-965	399	42	terms	term	NOUN
ap-965	399	43	which	which	PRON
ap-965	399	44	,	,	PUNCT
ap-965	399	45	after	after	ADP
ap-965	399	46	integration	integration	NOUN
ap-965	399	47	by	by	ADP
ap-965	399	48	parts	part	NOUN
ap-965	399	49	,	,	PUNCT
ap-965	399	50	contain	contain	VERB
ap-965	399	51	at	at	ADP
ap-965	399	52	least	least	ADJ
ap-965	399	53	a	a	DET
ap-965	399	54	second	second	ADJ
ap-965	399	55	derivative	derivative	ADJ
ap-965	399	56	�	�	PROPN
ap-965	399	57	�	�	PROPN
ap-965	399	58	.	.	PUNCT
ap-965	400	1	we	we	PRON
ap-965	400	2	obtain	obtain	VERB
ap-965	400	3	,	,	PUNCT
ap-965	400	4	e.g.	e.g.	ADV
ap-965	400	5	,	,	PUNCT
ap-965	400	6	a	a	DET
ap-965	400	7	non	non	ADJ
ap-965	400	8	-	-	ADJ
ap-965	400	9	vanishing	vanishing	ADJ
ap-965	400	10	term	term	NOUN
ap-965	400	11	of	of	ADP
ap-965	400	12	the	the	DET
ap-965	400	13	type	type	NOUN
ap-965	400	14	�	�	PROPN
ap-965	400	15	�	�	PROPN
ap-965	400	16	�	�	PROPN
ap-965	400	17	dt	dt	NOUN
ap-965	400	18	c	c	PROPN
ap-965	400	19	gijk	gijk	PROPN
ap-965	401	1	i	i	PROPN
ap-965	401	2	k	k	PROPN
ap-965	401	3	l	l	PROPN
ap-965	401	4	�	�	PROPN
ap-965	401	5	�	�	PROPN
ap-965	401	6	�	�	PROPN
ap-965	401	7	2	2	NUM
ap-965	401	8	.	.	PUNCT
ap-965	402	1	in	in	ADP
ap-965	402	2	order	order	NOUN
ap-965	402	3	to	to	PART
ap-965	402	4	guarantee	guarantee	VERB
ap-965	402	5	the	the	DET
ap-965	402	6	full	full	ADJ
ap-965	402	7	n	n	PRON
ap-965	402	8	�	�	NOUN
ap-965	402	9	8	8	NUM
ap-965	402	10	invariance	invariance	NOUN
ap-965	402	11	(	(	PUNCT
ap-965	402	12	the	the	DET
ap-965	402	13	invariance	invariance	NOUN
ap-965	402	14	under	under	ADP
ap-965	402	15	q8	q8	PROPN
ap-965	402	16	is	be	AUX
ap-965	402	17	automatically	automatically	ADV
ap-965	402	18	guaranteed	guarantee	VERB
ap-965	402	19	)	)	PUNCT
ap-965	402	20	we	we	PRON
ap-965	402	21	have	have	VERB
ap-965	402	22	therefore	therefore	ADV
ap-965	402	23	to	to	PART
ap-965	402	24	set	set	VERB
ap-965	402	25	�	�	PROPN
ap-965	402	26	�	�	PROPN
ap-965	402	27	�	�	PROPN
ap-965	402	28	�	�	PROPN
ap-965	402	29	�	�	PROPN
ap-965	402	30	x	x	X
ap-965	402	31	0	0	NUM
ap-965	402	32	,	,	PUNCT
ap-965	402	33	leaving	leave	VERB
ap-965	402	34	a	a	DET
ap-965	402	35	linear	linear	ADJ
ap-965	402	36	function	function	NOUN
ap-965	402	37	in	in	ADP
ap-965	402	38	x.	x.	NOUN
ap-965	402	39	as	as	ADP
ap-965	402	40	a	a	DET
ap-965	402	41	result	result	NOUN
ap-965	402	42	,	,	PUNCT
ap-965	402	43	the	the	DET
ap-965	402	44	most	most	ADV
ap-965	402	45	general	general	ADJ
ap-965	402	46	n	n	X
ap-965	402	47	�	�	PROPN
ap-965	402	48	8	8	NUM
ap-965	402	49	off	off	ADP
ap-965	402	50	-	-	PUNCT
ap-965	402	51	shell	shell	NOUN
ap-965	402	52	invariant	invariant	ADJ
ap-965	402	53	action	action	NOUN
ap-965	402	54	of	of	ADP
ap-965	402	55	the	the	DET
ap-965	402	56	(	(	PUNCT
ap-965	402	57	1	1	NUM
ap-965	402	58	,	,	PUNCT
ap-965	402	59	8	8	NUM
ap-965	402	60	,	,	PUNCT
ap-965	402	61	7	7	X
ap-965	402	62	)	)	PUNCT
ap-965	402	63	multiplet	multiplet	NOUN
ap-965	402	64	is	be	AUX
ap-965	402	65	given	give	VERB
ap-965	402	66	by	by	ADP
ap-965	402	67	�	�	PROPN
ap-965	402	68	s	s	PART
ap-965	402	69	t	t	NOUN
ap-965	402	70	ax	ax	NOUN
ap-965	402	71	b	b	PROPN
ap-965	402	72	x	x	SYM
ap-965	402	73	g	g	ADP
ap-965	402	74	a	a	DET
ap-965	402	75	g	g	NOUN
ap-965	403	1	c	c	NOUN
ap-965	403	2	g	g	NOUN
ap-965	404	1	i	i	PRON
ap-965	404	2	i	i	PRON
ap-965	405	1	i	i	PRON
ap-965	405	2	i	i	PRON
ap-965	406	1	i	i	PRON
ap-965	406	2	ijk	ijk	VERB
ap-965	407	1	i	i	PRON
ap-965	407	2	j	j	PROPN
ap-965	407	3	�	�	PROPN
ap-965	407	4	�	�	PROPN
ap-965	407	5	�	�	PROPN
ap-965	407	6	�	�	PROPN
ap-965	407	7	�	�	PROPN
ap-965	407	8	�	�	PROPN
ap-965	407	9	�	�	PROPN
ap-965	407	10	�	�	PROPN
ap-965	407	11	d	d	PROPN
ap-965	407	12	(	(	PUNCT
ap-965	407	13	)	)	PUNCT
ap-965	407	14	[	[	PUNCT
ap-965	407	15	�	�	PROPN
ap-965	407	16	�	�	PROPN
ap-965	407	17	�	�	PROPN
ap-965	407	18	]	]	PUNCT
ap-965	407	19	[	[	PUNCT
ap-965	407	20	2	2	NUM
ap-965	407	21	2	2	NUM
ap-965	407	22	1	1	NUM
ap-965	407	23	2	2	NUM
ap-965	407	24	�	�	PROPN
ap-965	407	25	�	�	PROPN
ap-965	407	26	�	�	PROPN
ap-965	407	27	�	�	PROPN
ap-965	407	28	�	�	PROPN
ap-965	407	29	�	�	PROPN
ap-965	407	30	�	�	PROPN
ap-965	407	31	�	�	PROPN
ap-965	407	32	�	�	PROPN
ap-965	407	33	k	k	PROPN
ap-965	407	34	]	]	PUNCT
ap-965	407	35	.	.	PUNCT
ap-965	408	1	(	(	PUNCT
ap-965	408	2	7.62	7.62	NUM
ap-965	408	3	)	)	PUNCT
ap-965	408	4	we	we	PRON
ap-965	408	5	can	can	AUX
ap-965	408	6	express	express	VERB
ap-965	408	7	this	this	DET
ap-965	408	8	result	result	NOUN
ap-965	408	9	in	in	ADP
ap-965	408	10	the	the	DET
ap-965	408	11	following	following	ADJ
ap-965	408	12	terms	term	NOUN
ap-965	408	13	:	:	PUNCT
ap-965	408	14	the	the	DET
ap-965	408	15	association	association	NOUN
ap-965	408	16	of	of	ADP
ap-965	408	17	the	the	DET
ap-965	408	18	n	n	PROPN
ap-965	408	19	�	�	NOUN
ap-965	408	20	8	8	NUM
ap-965	408	21	supersymmetry	supersymmetry	NOUN
ap-965	408	22	with	with	ADP
ap-965	408	23	the	the	DET
ap-965	408	24	octonions	octonion	NOUN
ap-965	408	25	implies	imply	VERB
ap-965	408	26	that	that	SCONJ
ap-965	408	27	the	the	DET
ap-965	408	28	octonionic	octonionic	ADJ
ap-965	408	29	structure	structure	NOUN
ap-965	408	30	constants	constant	NOUN
ap-965	408	31	enter	enter	VERB
ap-965	408	32	as	as	ADP
ap-965	408	33	coupling	couple	VERB
ap-965	408	34	constants	constant	NOUN
ap-965	408	35	in	in	ADP
ap-965	408	36	the	the	DET
ap-965	408	37	n	n	PROPN
ap-965	408	38	�	�	NOUN
ap-965	408	39	8	8	NUM
ap-965	408	40	invariant	invariant	ADJ
ap-965	408	41	actions	action	NOUN
ap-965	408	42	.	.	PUNCT
ap-965	409	1	the	the	DET
ap-965	409	2	situation	situation	NOUN
ap-965	409	3	w.r.t	w.r.t	VERB
ap-965	409	4	.	.	PUNCT
ap-965	410	1	the	the	DET
ap-965	410	2	other	other	ADJ
ap-965	410	3	n	n	PROPN
ap-965	410	4	�	�	NOUN
ap-965	410	5	8	8	NUM
ap-965	410	6	multiplets	multiplet	NOUN
ap-965	410	7	is	be	AUX
ap-965	410	8	more	more	ADV
ap-965	410	9	complicated	complicated	ADJ
ap-965	410	10	.	.	PUNCT
ap-965	411	1	this	this	PRON
ap-965	411	2	is	be	AUX
ap-965	411	3	due	due	ADJ
ap-965	411	4	to	to	ADP
ap-965	411	5	the	the	DET
ap-965	411	6	fact	fact	NOUN
ap-965	411	7	that	that	SCONJ
ap-965	411	8	the	the	DET
ap-965	411	9	dressing	dressing	NOUN
ap-965	411	10	of	of	ADP
ap-965	411	11	some	some	PRON
ap-965	411	12	of	of	ADP
ap-965	411	13	the	the	DET
ap-965	411	14	bosonic	bosonic	NOUN
ap-965	411	15	fields	field	NOUN
ap-965	411	16	to	to	ADP
ap-965	411	17	auxiliary	auxiliary	ADJ
ap-965	411	18	fields	field	NOUN
ap-965	411	19	does	do	AUX
ap-965	411	20	not	not	PART
ap-965	411	21	respect	respect	VERB
ap-965	411	22	octonionic	octonionic	ADJ
ap-965	411	23	covariance	covariance	NOUN
ap-965	411	24	.	.	PUNCT
ap-965	412	1	the	the	DET
ap-965	412	2	construction	construction	NOUN
ap-965	412	3	of	of	ADP
ap-965	412	4	the	the	DET
ap-965	412	5	invariant	invariant	ADJ
ap-965	412	6	actions	action	NOUN
ap-965	412	7	can	can	AUX
ap-965	412	8	however	however	ADV
ap-965	412	9	be	be	AUX
ap-965	412	10	performed	perform	VERB
ap-965	412	11	along	along	ADP
ap-965	412	12	similar	similar	ADJ
ap-965	412	13	lines	line	NOUN
ap-965	412	14	,	,	PUNCT
ap-965	412	15	the	the	DET
ap-965	412	16	octonionic	octonionic	ADJ
ap-965	412	17	structure	structure	NOUN
ap-965	412	18	constants	constant	NOUN
ap-965	412	19	being	be	AUX
ap-965	412	20	replaced	replace	VERB
ap-965	412	21	by	by	ADP
ap-965	412	22	the	the	DET
ap-965	412	23	“	"	PUNCT
ap-965	412	24	dressed	dressed	ADJ
ap-965	412	25	”	"	PUNCT
ap-965	412	26	structure	structure	NOUN
ap-965	412	27	constants	constant	NOUN
ap-965	412	28	.	.	PUNCT
ap-965	413	1	the	the	DET
ap-965	413	2	procedure	procedure	NOUN
ap-965	413	3	for	for	ADP
ap-965	413	4	a	a	DET
ap-965	413	5	generic	generic	ADJ
ap-965	413	6	irrep	irrep	NOUN
ap-965	413	7	is	be	AUX
ap-965	413	8	more	more	ADV
ap-965	413	9	involved	involved	ADJ
ap-965	413	10	than	than	ADP
ap-965	413	11	in	in	ADP
ap-965	413	12	the(1	the(1	NOUN
ap-965	413	13	,	,	PUNCT
ap-965	413	14	8	8	NUM
ap-965	413	15	,	,	PUNCT
ap-965	413	16	7	7	X
ap-965	413	17	)	)	PUNCT
ap-965	413	18	case	case	NOUN
ap-965	413	19	.	.	PUNCT
ap-965	414	1	the	the	DET
ap-965	414	2	full	full	ADJ
ap-965	414	3	list	list	NOUN
ap-965	414	4	of	of	ADP
ap-965	414	5	invariant	invariant	ADJ
ap-965	414	6	actions	action	NOUN
ap-965	414	7	for	for	ADP
ap-965	414	8	the	the	DET
ap-965	414	9	n	n	DET
ap-965	414	10	�	�	NOUN
ap-965	414	11	8	8	NUM
ap-965	414	12	irreps	irrep	NOUN
ap-965	414	13	is	be	AUX
ap-965	414	14	currently	currently	ADV
ap-965	414	15	being	be	AUX
ap-965	414	16	written	write	VERB
ap-965	414	17	.	.	PUNCT
ap-965	415	1	the	the	DET
ap-965	415	2	results	result	NOUN
ap-965	415	3	will	will	AUX
ap-965	415	4	be	be	AUX
ap-965	415	5	reported	report	VERB
ap-965	415	6	elsewhere	elsewhere	ADV
ap-965	415	7	.	.	PUNCT
ap-965	416	1	the	the	DET
ap-965	416	2	method	method	NOUN
ap-965	416	3	proposed	propose	VERB
ap-965	416	4	is	be	AUX
ap-965	416	5	quite	quite	ADV
ap-965	416	6	interesting	interesting	ADJ
ap-965	416	7	because	because	SCONJ
ap-965	416	8	it	it	PRON
ap-965	416	9	allows	allow	VERB
ap-965	416	10	us	we	PRON
ap-965	416	11	in	in	ADP
ap-965	416	12	principle	principle	NOUN
ap-965	416	13	to	to	PART
ap-965	416	14	construct	construct	VERB
ap-965	416	15	the	the	DET
ap-965	416	16	most	most	ADV
ap-965	416	17	general	general	ADJ
ap-965	416	18	invariant	invariant	ADJ
ap-965	416	19	actions	action	NOUN
ap-965	416	20	.	.	PUNCT
ap-965	417	1	it	it	PRON
ap-965	417	2	is	be	AUX
ap-965	417	3	worth	worth	ADJ
ap-965	417	4	mentioning	mention	VERB
ap-965	417	5	that	that	SCONJ
ap-965	417	6	various	various	ADJ
ap-965	417	7	groups	group	NOUN
ap-965	417	8	,	,	PUNCT
ap-965	417	9	using	use	VERB
ap-965	417	10	n	n	PRON
ap-965	417	11	�	�	NOUN
ap-965	417	12	8superfield	8superfield	NUM
ap-965	417	13	formalism	formalism	NOUN
ap-965	417	14	,	,	PUNCT
ap-965	417	15	are	be	AUX
ap-965	417	16	still	still	ADV
ap-965	417	17	working	work	VERB
ap-965	417	18	on	on	ADP
ap-965	417	19	the	the	DET
ap-965	417	20	problem	problem	NOUN
ap-965	417	21	of	of	ADP
ap-965	417	22	constructing	construct	VERB
ap-965	417	23	the	the	DET
ap-965	417	24	most	most	ADV
ap-965	417	25	general	general	ADJ
ap-965	417	26	invariant	invariant	ADJ
ap-965	417	27	actions	action	NOUN
ap-965	417	28	.	.	PUNCT
ap-965	418	1	let	let	VERB
ap-965	418	2	us	we	PRON
ap-965	418	3	close	close	VERB
ap-965	418	4	this	this	DET
ap-965	418	5	section	section	NOUN
ap-965	418	6	by	by	ADP
ap-965	418	7	pointing	point	VERB
ap-965	418	8	out	out	ADP
ap-965	418	9	that	that	SCONJ
ap-965	418	10	the	the	DET
ap-965	418	11	only	only	ADJ
ap-965	418	12	sign	sign	NOUN
ap-965	418	13	of	of	ADP
ap-965	418	14	the	the	DET
ap-965	418	15	octonions	octonion	NOUN
ap-965	418	16	is	be	AUX
ap-965	418	17	through	through	ADP
ap-965	418	18	their	their	PRON
ap-965	418	19	structure	structure	NOUN
ap-965	418	20	constants	constant	NOUN
ap-965	418	21	entering	enter	VERB
ap-965	418	22	as	as	ADP
ap-965	418	23	parameters	parameter	NOUN
ap-965	418	24	in	in	ADP
ap-965	418	25	the	the	DET
ap-965	418	26	(	(	PUNCT
ap-965	418	27	7.62	7.62	NUM
ap-965	418	28	)	)	PUNCT
ap-965	418	29	n	n	PRON
ap-965	418	30	�	�	NOUN
ap-965	418	31	8	8	NUM
ap-965	418	32	off	off	ADP
ap-965	418	33	-	-	PUNCT
ap-965	418	34	shell	shell	NOUN
ap-965	418	35	invariant	invariant	ADJ
ap-965	418	36	action	action	NOUN
ap-965	418	37	.	.	PUNCT
ap-965	419	1	(	(	PUNCT
ap-965	419	2	7.62	7.62	NUM
ap-965	419	3	)	)	PUNCT
ap-965	419	4	is	be	AUX
ap-965	419	5	an	an	DET
ap-965	419	6	ordinary	ordinary	ADJ
ap-965	419	7	action	action	NOUN
ap-965	419	8	,	,	PUNCT
ap-965	419	9	in	in	ADP
ap-965	419	10	terms	term	NOUN
ap-965	419	11	of	of	ADP
ap-965	419	12	ordinary	ordinary	ADJ
ap-965	419	13	associative	associative	ADJ
ap-965	419	14	bosonic	bosonic	NOUN
ap-965	419	15	and	and	CCONJ
ap-965	419	16	fermionic	fermionic	NOUN
ap-965	419	17	fields	field	NOUN
ap-965	419	18	closing	close	VERB
ap-965	419	19	an	an	DET
ap-965	419	20	ordinary	ordinary	ADJ
ap-965	419	21	n	n	PRON
ap-965	419	22	�	�	NOUN
ap-965	419	23	8	8	NUM
ap-965	419	24	supersymmetry	supersymmetry	NOUN
ap-965	419	25	algebra	algebra	NOUN
ap-965	419	26	.	.	PUNCT
ap-965	420	1	8	8	NUM
ap-965	420	2	non	non	ADJ
ap-965	420	3	-	-	ADJ
ap-965	420	4	equivalent	equivalent	ADJ
ap-965	420	5	representations	representation	NOUN
ap-965	420	6	with	with	ADP
ap-965	420	7	the	the	DET
ap-965	420	8	same	same	ADJ
ap-965	420	9	field	field	NOUN
ap-965	420	10	content	content	NOUN
ap-965	420	11	the	the	DET
ap-965	420	12	irreducible	irreducible	ADJ
ap-965	420	13	representations	representation	NOUN
ap-965	420	14	of	of	ADP
ap-965	420	15	the	the	DET
ap-965	420	16	n	n	ADV
ap-965	420	17	-	-	PUNCT
ap-965	420	18	extended	extend	VERB
ap-965	420	19	supersymmetry	supersymmetry	NOUN
ap-965	420	20	algebra	algebra	NOUN
ap-965	420	21	are	be	AUX
ap-965	420	22	nicely	nicely	ADV
ap-965	420	23	presented	present	VERB
ap-965	420	24	in	in	ADP
ap-965	420	25	terms	term	NOUN
ap-965	420	26	of	of	ADP
ap-965	420	27	n	n	CCONJ
ap-965	420	28	-	-	PUNCT
ap-965	420	29	colored	colored	ADJ
ap-965	420	30	graphs	graph	NOUN
ap-965	420	31	with	with	ADP
ap-965	420	32	arrows	arrow	NOUN
ap-965	420	33	(	(	PUNCT
ap-965	420	34	we	we	PRON
ap-965	420	35	will	will	AUX
ap-965	420	36	explain	explain	VERB
ap-965	420	37	below	below	ADP
ap-965	420	38	how	how	SCONJ
ap-965	420	39	to	to	PART
ap-965	420	40	draw	draw	VERB
ap-965	420	41	the	the	DET
ap-965	420	42	graphs	graph	NOUN
ap-965	420	43	)	)	PUNCT
ap-965	420	44	.	.	PUNCT
ap-965	421	1	the	the	DET
ap-965	421	2	existence	existence	NOUN
ap-965	421	3	of	of	ADP
ap-965	421	4	irreducible	irreducible	ADJ
ap-965	421	5	representations	representation	NOUN
ap-965	421	6	admitting	admit	VERB
ap-965	421	7	the	the	DET
ap-965	421	8	same	same	ADJ
ap-965	421	9	field	field	NOUN
ap-965	421	10	content	content	NOUN
ap-965	421	11	,	,	PUNCT
ap-965	421	12	but	but	CCONJ
ap-965	421	13	non	non	ADJ
ap-965	421	14	-	-	ADJ
ap-965	421	15	equivalent	equivalent	ADJ
ap-965	421	16	graphs	graph	NOUN
ap-965	421	17	was	be	AUX
ap-965	421	18	pointed	point	VERB
ap-965	421	19	out	out	ADP
ap-965	421	20	in	in	ADP
ap-965	421	21	[	[	X
ap-965	421	22	25	25	NUM
ap-965	421	23	]	]	PUNCT
ap-965	421	24	.	.	PUNCT
ap-965	422	1	in	in	ADP
ap-965	422	2	[	[	X
ap-965	422	3	15	15	NUM
ap-965	422	4	]	]	PUNCT
ap-965	422	5	the	the	DET
ap-965	422	6	non	non	ADJ
ap-965	422	7	-	-	ADJ
ap-965	422	8	equivalent	equivalent	ADJ
ap-965	422	9	graphs	graph	NOUN
ap-965	422	10	associated	associate	VERB
ap-965	422	11	to	to	ADP
ap-965	422	12	irreducible	irreducible	ADJ
ap-965	422	13	representations	representation	NOUN
ap-965	422	14	up	up	ADP
ap-965	422	15	to	to	ADP
ap-965	422	16	n	n	PRON
ap-965	422	17	�	�	PROPN
ap-965	422	18	8were	8were	NUM
ap-965	422	19	classified	classified	ADJ
ap-965	422	20	.	.	PUNCT
ap-965	423	1	we	we	PRON
ap-965	423	2	discuss	discuss	VERB
ap-965	423	3	here	here	ADV
ap-965	423	4	both	both	DET
ap-965	423	5	construction	construction	NOUN
ap-965	423	6	of	of	ADP
ap-965	423	7	[	[	X
ap-965	423	8	15	15	NUM
ap-965	423	9	]	]	PUNCT
ap-965	423	10	and	and	CCONJ
ap-965	423	11	also	also	ADV
ap-965	423	12	its	its	PRON
ap-965	423	13	main	main	ADJ
ap-965	423	14	results	result	NOUN
ap-965	423	15	.	.	PUNCT
ap-965	424	1	since	since	SCONJ
ap-965	424	2	it	it	PRON
ap-965	424	3	can	can	AUX
ap-965	424	4	be	be	AUX
ap-965	424	5	quite	quite	ADV
ap-965	424	6	easily	easily	ADV
ap-965	424	7	proved	prove	VERB
ap-965	424	8	that	that	SCONJ
ap-965	424	9	non	non	ADJ
ap-965	424	10	-	-	ADJ
ap-965	424	11	equivalent	equivalent	ADJ
ap-965	424	12	graphs	graph	NOUN
ap-965	424	13	are	be	AUX
ap-965	424	14	not	not	PART
ap-965	424	15	encountered	encounter	VERB
ap-965	424	16	for	for	ADP
ap-965	424	17	n	n	X
ap-965	424	18	�	�	PROPN
ap-965	424	19	4	4	NUM
ap-965	424	20	,	,	PUNCT
ap-965	424	21	it	it	PRON
ap-965	424	22	is	be	AUX
ap-965	424	23	sufficient	sufficient	ADJ
ap-965	424	24	to	to	PART
ap-965	424	25	discuss	discuss	VERB
ap-965	424	26	the	the	DET
ap-965	424	27	irreducible	irreducible	ADJ
ap-965	424	28	representations	representation	NOUN
ap-965	424	29	of	of	ADP
ap-965	424	30	n	n	PRON
ap-965	424	31	�	�	PROPN
ap-965	424	32	5	5	NUM
ap-965	424	33	6	6	NUM
ap-965	424	34	7	7	NUM
ap-965	424	35	8	8	NUM
ap-965	424	36	,	,	PUNCT
ap-965	424	37	,	,	PUNCT
ap-965	424	38	,	,	PUNCT
ap-965	424	39	,	,	PUNCT
ap-965	424	40	which	which	PRON
ap-965	424	41	are	be	AUX
ap-965	424	42	obtained	obtain	VERB
ap-965	424	43	through	through	ADP
ap-965	424	44	a	a	DET
ap-965	424	45	dressing	dressing	NOUN
ap-965	424	46	of	of	ADP
ap-965	424	47	the	the	DET
ap-965	424	48	n	n	PROPN
ap-965	424	49	�	�	PROPN
ap-965	424	50	8	8	NUM
ap-965	424	51	length-2	length-2	NOUN
ap-965	424	52	root	root	NOUN
ap-965	424	53	multiplet	multiplet	NOUN
ap-965	424	54	of	of	ADP
ap-965	424	55	type	type	NOUN
ap-965	424	56	(	(	PUNCT
ap-965	424	57	8	8	NUM
ap-965	424	58	,	,	PUNCT
ap-965	424	59	8)	8)	NUM
ap-965	424	60	(	(	PUNCT
ap-965	424	61	see	see	VERB
ap-965	424	62	the	the	DET
ap-965	424	63	previous	previous	ADJ
ap-965	424	64	discussion	discussion	NOUN
ap-965	424	65	)	)	PUNCT
ap-965	424	66	.	.	PUNCT
ap-965	425	1	inequivalent	inequivalent	NOUN
ap-965	425	2	graphs	graph	NOUN
ap-965	425	3	(	(	PUNCT
ap-965	425	4	see	see	VERB
ap-965	425	5	[	[	X
ap-965	425	6	15	15	NUM
ap-965	425	7	]	]	PUNCT
ap-965	425	8	)	)	PUNCT
ap-965	425	9	are	be	AUX
ap-965	425	10	described	describe	VERB
ap-965	425	11	by	by	ADP
ap-965	425	12	the	the	DET
ap-965	425	13	so	so	ADV
ap-965	425	14	-	-	PUNCT
ap-965	425	15	called	call	VERB
ap-965	425	16	connectivity	connectivity	NOUN
ap-965	425	17	of	of	ADP
ap-965	425	18	the	the	DET
ap-965	425	19	irreps	irrep	NOUN
ap-965	425	20	.	.	PUNCT
ap-965	426	1	connectivity	connectivity	NOUN
ap-965	426	2	can	can	AUX
ap-965	426	3	be	be	AUX
ap-965	426	4	understood	understand	VERB
ap-965	426	5	as	as	SCONJ
ap-965	426	6	follows	follow	VERB
ap-965	426	7	.	.	PUNCT
ap-965	427	1	for	for	ADP
ap-965	427	2	the	the	DET
ap-965	427	3	class	class	NOUN
ap-965	427	4	of	of	ADP
ap-965	427	5	irreducible	irreducible	ADJ
ap-965	427	6	representations	representation	NOUN
ap-965	427	7	under	under	ADP
ap-965	427	8	consideration	consideration	NOUN
ap-965	427	9	any	any	DET
ap-965	427	10	given	give	VERB
ap-965	427	11	field	field	NOUN
ap-965	427	12	of	of	ADP
ap-965	427	13	dimension	dimension	NOUN
ap-965	427	14	d	d	NOUN
ap-965	427	15	is	be	AUX
ap-965	427	16	mapped	map	VERB
ap-965	427	17	,	,	PUNCT
ap-965	427	18	under	under	ADP
ap-965	427	19	a	a	DET
ap-965	427	20	supersymmetry	supersymmetry	NOUN
ap-965	427	21	transformation	transformation	NOUN
ap-965	427	22	,	,	PUNCT
ap-965	427	23	either	either	CCONJ
ap-965	427	24	i	i	PROPN
ap-965	427	25	)	)	PUNCT
ap-965	427	26	to	to	ADP
ap-965	427	27	a	a	DET
ap-965	427	28	field	field	NOUN
ap-965	427	29	of	of	ADP
ap-965	427	30	dimension	dimension	NOUN
ap-965	427	31	d	d	PROPN
ap-965	427	32	�	�	PROPN
ap-965	427	33	1	1	NUM
ap-965	427	34	2	2	NUM
ap-965	427	35	belonging	belong	VERB
ap-965	427	36	to	to	ADP
ap-965	427	37	the	the	DET
ap-965	427	38	multiplet	multiplet	NOUN
ap-965	427	39	(	(	PUNCT
ap-965	427	40	or	or	CCONJ
ap-965	427	41	to	to	ADP
ap-965	427	42	its	its	PRON
ap-965	427	43	opposite	opposite	NOUN
ap-965	427	44	,	,	PUNCT
ap-965	427	45	the	the	DET
ap-965	427	46	sign	sign	NOUN
ap-965	427	47	of	of	ADP
ap-965	427	48	the	the	DET
ap-965	427	49	transformation	transformation	NOUN
ap-965	427	50	being	be	AUX
ap-965	427	51	irrelevant	irrelevant	ADJ
ap-965	427	52	for	for	ADP
ap-965	427	53	our	our	PRON
ap-965	427	54	purposes	purpose	NOUN
ap-965	427	55	)	)	PUNCT
ap-965	427	56	or	or	CCONJ
ap-965	427	57	,	,	PUNCT
ap-965	427	58	ii	ii	PROPN
ap-965	427	59	)	)	PUNCT
ap-965	427	60	to	to	ADP
ap-965	427	61	the	the	DET
ap-965	427	62	time	time	NOUN
ap-965	427	63	-	-	PUNCT
ap-965	427	64	derivative	derivative	NOUN
ap-965	427	65	of	of	ADP
ap-965	427	66	a	a	DET
ap-965	427	67	field	field	NOUN
ap-965	427	68	of	of	ADP
ap-965	427	69	dimension	dimension	NOUN
ap-965	427	70	d	d	PROPN
ap-965	427	71	�	�	PROPN
ap-965	427	72	1	1	NUM
ap-965	427	73	2	2	NUM
ap-965	427	74	.	.	PUNCT
ap-965	428	1	if	if	SCONJ
ap-965	428	2	the	the	DET
ap-965	428	3	given	give	VERB
ap-965	428	4	field	field	NOUN
ap-965	428	5	belongs	belong	VERB
ap-965	428	6	to	to	ADP
ap-965	428	7	an	an	DET
ap-965	428	8	irrep	irrep	NOUN
ap-965	428	9	of	of	ADP
ap-965	428	10	the	the	DET
ap-965	428	11	n	n	ADV
ap-965	428	12	-	-	PUNCT
ap-965	428	13	extended	extend	VERB
ap-965	428	14	one	one	NUM
ap-965	428	15	-	-	PUNCT
ap-965	428	16	dimensional	dimensional	ADJ
ap-965	428	17	supersymmetry	supersymmetry	NOUN
ap-965	428	18	algebra	algebra	NOUN
ap-965	428	19	,	,	PUNCT
ap-965	428	20	therefore	therefore	ADV
ap-965	428	21	k	k	PROPN
ap-965	428	22	n	n	CCONJ
ap-965	428	23	�	�	PROPN
ap-965	428	24	of	of	ADP
ap-965	428	25	its	its	PRON
ap-965	428	26	transformations	transformation	NOUN
ap-965	428	27	are	be	AUX
ap-965	428	28	of	of	ADP
ap-965	428	29	type	type	NOUN
ap-965	428	30	i	i	PROPN
ap-965	428	31	)	)	PUNCT
ap-965	428	32	,	,	PUNCT
ap-965	428	33	while	while	SCONJ
ap-965	428	34	the	the	DET
ap-965	428	35	n	n	CCONJ
ap-965	428	36	k	k	PROPN
ap-965	428	37	�	�	PROPN
ap-965	428	38	remaining	remain	VERB
ap-965	428	39	ones	one	NOUN
ap-965	428	40	are	be	AUX
ap-965	428	41	of	of	ADP
ap-965	428	42	type	type	NOUN
ap-965	428	43	ii	ii	PROPN
ap-965	428	44	)	)	PUNCT
ap-965	428	45	.	.	PUNCT
ap-965	429	1	let	let	VERB
ap-965	429	2	us	we	PRON
ap-965	429	3	now	now	ADV
ap-965	429	4	specialize	specialize	VERB
ap-965	429	5	our	our	PRON
ap-965	429	6	discussion	discussion	NOUN
ap-965	429	7	to	to	ADP
ap-965	429	8	a	a	DET
ap-965	429	9	length-3	length-3	NUM
ap-965	429	10	irrep	irrep	NOUN
ap-965	429	11	(	(	PUNCT
ap-965	429	12	the	the	DET
ap-965	429	13	interesting	interesting	ADJ
ap-965	429	14	case	case	NOUN
ap-965	429	15	for	for	ADP
ap-965	429	16	us	we	PRON
ap-965	429	17	)	)	PUNCT
ap-965	429	18	.	.	PUNCT
ap-965	430	1	its	its	PRON
ap-965	430	2	field	field	NOUN
ap-965	430	3	content	content	NOUN
ap-965	430	4	is	be	AUX
ap-965	430	5	given	give	VERB
ap-965	430	6	by	by	ADP
ap-965	430	7	(	(	PUNCT
ap-965	430	8	n	n	CCONJ
ap-965	430	9	n	n	CCONJ
ap-965	430	10	n	n	CCONJ
ap-965	430	11	n1	n1	PROPN
ap-965	430	12	1	1	NUM
ap-965	430	13	,	,	PUNCT
ap-965	430	14	,	,	PUNCT
ap-965	430	15	�	�	PROPN
ap-965	430	16	)	)	PUNCT
ap-965	430	17	,	,	PUNCT
ap-965	430	18	while	while	SCONJ
ap-965	430	19	the	the	DET
ap-965	430	20	set	set	NOUN
ap-965	430	21	of	of	ADP
ap-965	430	22	its	its	PRON
ap-965	430	23	fields	field	NOUN
ap-965	430	24	is	be	AUX
ap-965	430	25	expressed	express	VERB
ap-965	430	26	by	by	ADP
ap-965	430	27	(	(	PUNCT
ap-965	430	28	;	;	NOUN
ap-965	430	29	;	;	NOUN
ap-965	430	30	)	)	PUNCT
ap-965	430	31	x	x	X
ap-965	431	1	gi	gi	PROPN
ap-965	431	2	j	j	PROPN
ap-965	431	3	k	k	X
ap-965	431	4	�	�	PROPN
ap-965	431	5	,	,	PUNCT
ap-965	431	6	with	with	ADP
ap-965	431	7	i	i	PRON
ap-965	431	8	n	n	X
ap-965	431	9	�	�	PROPN
ap-965	431	10	1	1	NUM
ap-965	431	11	1	1	NUM
ap-965	431	12	,	,	PUNCT
ap-965	431	13	,	,	PUNCT
ap-965	431	14	�	�	PROPN
ap-965	431	15	,	,	PUNCT
ap-965	431	16	j	j	PROPN
ap-965	431	17	n	n	CCONJ
ap-965	431	18	�	�	PROPN
ap-965	431	19	1	1	NUM
ap-965	431	20	,	,	PUNCT
ap-965	431	21	,	,	PUNCT
ap-965	431	22	�	�	PROPN
ap-965	431	23	,	,	PUNCT
ap-965	431	24	k	k	PROPN
ap-965	431	25	n	n	CCONJ
ap-965	431	26	n	n	CCONJ
ap-965	431	27	�	�	PROPN
ap-965	431	28	�	�	PROPN
ap-965	431	29	1	1	NUM
ap-965	431	30	1	1	NUM
ap-965	431	31	,	,	PUNCT
ap-965	431	32	,	,	PUNCT
ap-965	431	33	�	�	PROPN
ap-965	431	34	.	.	PUNCT
ap-965	432	1	the	the	DET
ap-965	432	2	xi	xi	PROPN
ap-965	432	3	’s	’s	PART
ap-965	432	4	are	be	AUX
ap-965	432	5	0	0	NUM
ap-965	432	6	-	-	PUNCT
ap-965	432	7	dimensional	dimensional	ADJ
ap-965	432	8	fields	field	NOUN
ap-965	432	9	(	(	PUNCT
ap-965	432	10	the	the	DET
ap-965	432	11	�	�	PROPN
ap-965	432	12	j	j	PROPN
ap-965	432	13	are	be	AUX
ap-965	432	14	1	1	NUM
ap-965	432	15	2	2	NUM
ap-965	432	16	-	-	PUNCT
ap-965	432	17	dimensional	dimensional	ADJ
ap-965	432	18	fields	field	NOUN
ap-965	432	19	and	and	CCONJ
ap-965	432	20	gk	gk	NOUN
ap-965	432	21	are	be	AUX
ap-965	432	22	1	1	NUM
ap-965	432	23	-	-	PUNCT
ap-965	432	24	dimensional	dimensional	ADJ
ap-965	432	25	fields	field	NOUN
ap-965	432	26	,	,	PUNCT
ap-965	432	27	respectively	respectively	ADV
ap-965	432	28	)	)	PUNCT
ap-965	432	29	.	.	PUNCT
ap-965	433	1	the	the	DET
ap-965	433	2	connectivity	connectivity	NOUN
ap-965	433	3	associated	associate	VERB
ap-965	433	4	to	to	ADP
ap-965	433	5	the	the	DET
ap-965	433	6	given	give	VERB
ap-965	433	7	multiplet	multiplet	NOUN
ap-965	433	8	is	be	AUX
ap-965	433	9	defined	define	VERB
ap-965	433	10	in	in	ADP
ap-965	433	11	terms	term	NOUN
ap-965	433	12	of	of	ADP
ap-965	433	13	the	the	DET
ap-965	433	14	�	�	PROPN
ap-965	433	15	g	g	NOUN
ap-965	433	16	symbol	symbol	NOUN
ap-965	433	17	.	.	PUNCT
ap-965	434	1	it	it	PRON
ap-965	434	2	encodes	encode	VERB
ap-965	434	3	the	the	DET
ap-965	434	4	following	follow	VERB
ap-965	434	5	information	information	NOUN
ap-965	434	6	.	.	PUNCT
ap-965	435	1	the	the	DET
ap-965	435	2	n	n	NOUN
ap-965	435	3	1	1	NUM
ap-965	435	4	2	2	NUM
ap-965	435	5	-	-	PUNCT
ap-965	435	6	dimensional	dimensional	ADJ
ap-965	435	7	fields	field	NOUN
ap-965	435	8	�	�	PROPN
ap-965	435	9	j	j	PROPN
ap-965	435	10	are	be	AUX
ap-965	435	11	partitioned	partition	VERB
ap-965	435	12	in	in	ADP
ap-965	435	13	the	the	DET
ap-965	435	14	subsets	subset	NOUN
ap-965	435	15	of	of	ADP
ap-965	435	16	mr	mr	PROPN
ap-965	435	17	fields	field	NOUN
ap-965	435	18	admitting	admit	VERB
ap-965	435	19	kr	kr	PROPN
ap-965	435	20	supersymmetry	supersymmetry	NOUN
ap-965	435	21	transformations	transformation	NOUN
ap-965	435	22	of	of	ADP
ap-965	435	23	type	type	NOUN
ap-965	435	24	i	i	PROPN
ap-965	435	25	)	)	PUNCT
ap-965	435	26	(	(	PUNCT
ap-965	435	27	kr	kr	PROPN
ap-965	435	28	can	can	AUX
ap-965	435	29	take	take	VERB
ap-965	435	30	the	the	DET
ap-965	435	31	0	0	NUM
ap-965	435	32	value	value	NOUN
ap-965	435	33	)	)	PUNCT
ap-965	435	34	.	.	PUNCT
ap-965	436	1	we	we	PRON
ap-965	436	2	have	have	VERB
ap-965	436	3	m	m	PROPN
ap-965	436	4	nrr	nrr	PROPN
ap-965	436	5	�	�	PROPN
ap-965	436	6	�	�	PROPN
ap-965	436	7	.	.	PUNCT
ap-965	437	1	the	the	DET
ap-965	437	2	�	�	PROPN
ap-965	437	3	g	g	NOUN
ap-965	437	4	symbol	symbol	NOUN
ap-965	437	5	is	be	AUX
ap-965	437	6	expressed	express	VERB
ap-965	437	7	as	as	ADP
ap-965	437	8	�	�	PROPN
ap-965	437	9	g	g	PROPN
ap-965	437	10	k	k	PROPN
ap-965	437	11	km	km	PROPN
ap-965	437	12	m	m	PROPN
ap-965	437	13	�	�	PROPN
ap-965	437	14	�	�	PROPN
ap-965	437	15	�	�	PROPN
ap-965	437	16	1	1	NUM
ap-965	437	17	21	21	NUM
ap-965	437	18	2	2	NUM
ap-965	437	19	�	�	PROPN
ap-965	437	20	(	(	PUNCT
ap-965	437	21	8.63	8.63	NUM
ap-965	437	22	)	)	PUNCT
ap-965	437	23	as	as	ADP
ap-965	437	24	an	an	DET
ap-965	437	25	example	example	NOUN
ap-965	437	26	,	,	PUNCT
ap-965	437	27	the	the	DET
ap-965	437	28	n	n	PROPN
ap-965	437	29	�	�	PROPN
ap-965	437	30	7	7	NUM
ap-965	437	31	(	(	PUNCT
ap-965	437	32	6	6	NUM
ap-965	437	33	,	,	PUNCT
ap-965	437	34	8	8	NUM
ap-965	437	35	,	,	PUNCT
ap-965	437	36	2	2	NUM
ap-965	437	37	)	)	PUNCT
ap-965	437	38	multiplet	multiplet	NOUN
ap-965	437	39	admits	admit	VERB
ap-965	437	40	connectivity	connectivity	NOUN
ap-965	437	41	�	�	PROPN
ap-965	437	42	g	g	PROPN
ap-965	437	43	�	�	PROPN
ap-965	437	44	�	�	PROPN
ap-965	437	45	6	6	NUM
ap-965	437	46	22	22	NUM
ap-965	437	47	1	1	NUM
ap-965	437	48	(	(	PUNCT
ap-965	437	49	see	see	VERB
ap-965	437	50	(	(	PUNCT
ap-965	437	51	9.68	9.68	NUM
ap-965	437	52	)	)	PUNCT
ap-965	437	53	)	)	PUNCT
ap-965	437	54	.	.	PUNCT
ap-965	438	1	this	this	PRON
ap-965	438	2	means	mean	VERB
ap-965	438	3	that	that	SCONJ
ap-965	438	4	there	there	PRON
ap-965	438	5	are	be	VERB
ap-965	438	6	two	two	NUM
ap-965	438	7	types	type	NOUN
ap-965	438	8	of	of	ADP
ap-965	438	9	fields	fields	PROPN
ap-965	438	10	�	�	PROPN
ap-965	438	11	j.	j.	PROPN
ap-965	438	12	six	six	NUM
ap-965	438	13	of	of	ADP
ap-965	438	14	them	they	PRON
ap-965	438	15	are	be	AUX
ap-965	438	16	mapped	map	VERB
ap-965	438	17	,	,	PUNCT
ap-965	438	18	under	under	ADP
ap-965	438	19	supersymmetry	supersymmetry	NOUN
ap-965	438	20	transformations	transformation	NOUN
ap-965	438	21	,	,	PUNCT
ap-965	438	22	into	into	ADP
ap-965	438	23	the	the	DET
ap-965	438	24	two	two	NUM
ap-965	438	25	auxiliary	auxiliary	ADJ
ap-965	438	26	fields	field	NOUN
ap-965	438	27	gk	gk	PROPN
ap-965	438	28	.	.	PUNCT
ap-965	439	1	the	the	DET
ap-965	439	2	two	two	NUM
ap-965	439	3	remaining	remain	VERB
ap-965	439	4	fields	field	NOUN
ap-965	439	5	�	�	PROPN
ap-965	439	6	j	j	PROPN
ap-965	439	7	are	be	AUX
ap-965	439	8	only	only	ADV
ap-965	439	9	mapped	map	VERB
ap-965	439	10	into	into	ADP
ap-965	439	11	a	a	DET
ap-965	439	12	single	single	ADJ
ap-965	439	13	auxiliary	auxiliary	ADJ
ap-965	439	14	field	field	NOUN
ap-965	439	15	.	.	PUNCT
ap-965	440	1	an	an	DET
ap-965	440	2	analogous	analogous	ADJ
ap-965	440	3	symbol	symbol	NOUN
ap-965	440	4	,	,	PUNCT
ap-965	440	5	x	x	X
ap-965	440	6	�	�	PROPN
ap-965	440	7	,	,	PUNCT
ap-965	440	8	can	can	AUX
ap-965	440	9	be	be	AUX
ap-965	440	10	introduced	introduce	VERB
ap-965	440	11	.	.	PUNCT
ap-965	441	1	it	it	PRON
ap-965	441	2	describes	describe	VERB
ap-965	441	3	the	the	DET
ap-965	441	4	supersymmetry	supersymmetry	NOUN
ap-965	441	5	transformations	transformation	NOUN
ap-965	441	6	of	of	ADP
ap-965	441	7	the	the	DET
ap-965	441	8	xi	xi	PROPN
ap-965	441	9	fields	field	NOUN
ap-965	441	10	into	into	ADP
ap-965	441	11	the	the	DET
ap-965	441	12	�	�	PROPN
ap-965	441	13	j	j	PROPN
ap-965	441	14	68	68	NUM
ap-965	441	15	©	©	PROPN
ap-965	441	16	czech	czech	PROPN
ap-965	441	17	technical	technical	PROPN
ap-965	441	18	university	university	PROPN
ap-965	441	19	publishing	publishing	NOUN
ap-965	441	20	house	house	NOUN
ap-965	441	21	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	441	22	acta	acta	PROPN
ap-965	441	23	polytechnica	polytechnica	PROPN
ap-965	441	24	vol	vol	NOUN
ap-965	441	25	.	.	PUNCT
ap-965	442	1	48	48	NUM
ap-965	442	2	no	no	NOUN
ap-965	442	3	.	.	PUNCT
ap-965	443	1	2/2008	2/2008	NUM
ap-965	443	2	fields	field	NOUN
ap-965	443	3	.	.	PUNCT
ap-965	444	1	this	this	DET
ap-965	444	2	symbol	symbol	NOUN
ap-965	444	3	is	be	AUX
ap-965	444	4	,	,	PUNCT
ap-965	444	5	however	however	ADV
ap-965	444	6	,	,	PUNCT
ap-965	444	7	always	always	ADV
ap-965	444	8	trivial	trivial	ADJ
ap-965	444	9	.	.	PUNCT
ap-965	445	1	an	an	DET
ap-965	445	2	n	n	ADV
ap-965	445	3	-	-	PUNCT
ap-965	445	4	irrep	irrep	NOUN
ap-965	445	5	with	with	ADP
ap-965	445	6	(	(	PUNCT
ap-965	445	7	,	,	PUNCT
ap-965	445	8	,	,	PUNCT
ap-965	445	9	)	)	PUNCT
ap-965	445	10	n	n	CCONJ
ap-965	445	11	n	n	CCONJ
ap-965	445	12	n	n	CCONJ
ap-965	445	13	n1	n1	ADJ
ap-965	445	14	1	1	NUM
ap-965	445	15	�	�	PROPN
ap-965	445	16	field	field	NOUN
ap-965	445	17	content	content	NOUN
ap-965	445	18	always	always	ADV
ap-965	445	19	produces	produce	VERB
ap-965	445	20	x	x	SYM
ap-965	445	21	n	n	CCONJ
ap-965	445	22	n	n	CCONJ
ap-965	445	23	�	�	PROPN
ap-965	445	24	�	�	PROPN
ap-965	445	25	1	1	NUM
ap-965	445	26	.	.	PUNCT
ap-965	446	1	let	let	VERB
ap-965	446	2	us	we	PRON
ap-965	446	3	now	now	ADV
ap-965	446	4	discuss	discuss	VERB
ap-965	446	5	how	how	SCONJ
ap-965	446	6	to	to	PART
ap-965	446	7	compute	compute	VERB
ap-965	446	8	the	the	DET
ap-965	446	9	connectivities	connectivity	NOUN
ap-965	446	10	.	.	PUNCT
ap-965	447	1	(	(	PUNCT
ap-965	447	2	8	8	NUM
ap-965	447	3	,	,	PUNCT
ap-965	447	4	8)	8)	NUM
ap-965	447	5	involves	involve	VERB
ap-965	447	6	8	8	NUM
ap-965	447	7	bosonic	bosonic	NOUN
ap-965	447	8	and	and	CCONJ
ap-965	447	9	8	8	NUM
ap-965	447	10	fermionic	fermionic	NOUN
ap-965	447	11	fields	field	NOUN
ap-965	447	12	entering	enter	VERB
ap-965	447	13	a	a	DET
ap-965	447	14	column	column	NOUN
ap-965	447	15	vector	vector	NOUN
ap-965	447	16	(	(	PUNCT
ap-965	447	17	the	the	DET
ap-965	447	18	bosonic	bosonic	PROPN
ap-965	447	19	fields	field	NOUN
ap-965	447	20	are	be	AUX
ap-965	447	21	accommodated	accommodate	VERB
ap-965	447	22	in	in	ADP
ap-965	447	23	the	the	DET
ap-965	447	24	upper	upper	ADJ
ap-965	447	25	part	part	NOUN
ap-965	447	26	)	)	PUNCT
ap-965	447	27	.	.	PUNCT
ap-965	448	1	the	the	DET
ap-965	448	2	8	8	NUM
ap-965	448	3	supersymmetry	supersymmetry	NOUN
ap-965	448	4	operators	operator	NOUN
ap-965	448	5	�	�	PROPN
ap-965	448	6	qi	qi	PROPN
ap-965	448	7	(	(	PUNCT
ap-965	448	8	i	i	PROPN
ap-965	448	9	�	�	VERB
ap-965	448	10	1	1	NUM
ap-965	448	11	8	8	NUM
ap-965	448	12	,	,	PUNCT
ap-965	448	13	,	,	PUNCT
ap-965	448	14	)	)	PUNCT
ap-965	448	15	�	�	PROPN
ap-965	448	16	in	in	ADP
ap-965	448	17	the	the	DET
ap-965	448	18	(	(	PUNCT
ap-965	448	19	8	8	NUM
ap-965	448	20	,	,	PUNCT
ap-965	448	21	8)	8)	NUM
ap-965	448	22	n	n	PRON
ap-965	448	23	�	�	NOUN
ap-965	448	24	8	8	NUM
ap-965	448	25	irrep	irrep	NOUN
ap-965	448	26	are	be	AUX
ap-965	448	27	given	give	VERB
ap-965	448	28	by	by	ADP
ap-965	448	29	the	the	DET
ap-965	448	30	matrices	matrix	NOUN
ap-965	448	31	�	�	PROPN
ap-965	448	32	,	,	PUNCT
ap-965	448	33	�	�	PROPN
ap-965	448	34	,	,	PUNCT
ap-965	448	35	q	q	PROPN
ap-965	448	36	h	h	NOUN
ap-965	448	37	q	q	PROPN
ap-965	448	38	hj	hj	PROPN
ap-965	448	39	j	j	PROPN
ap-965	448	40	j	j	PROPN
ap-965	448	41	�	�	PROPN
ap-965	448	42	�	�	PROPN
ap-965	448	43	�	�	PROPN
ap-965	448	44	�	�	PROPN
ap-965	448	45	�	�	PROPN
ap-965	448	46	�	�	PROPN
ap-965	448	47	�	�	PROPN
ap-965	448	48	�	�	PROPN
ap-965	448	49	�	�	PROPN
ap-965	448	50	�	�	PROPN
ap-965	448	51	�	�	PROPN
ap-965	448	52	�	�	PROPN
ap-965	448	53	�	�	PROPN
ap-965	448	54	�	�	PROPN
ap-965	448	55	0	0	NUM
ap-965	448	56	0	0	NUM
ap-965	448	57	0	0	NUM
ap-965	448	58	08	08	NUM
ap-965	448	59	8	8	NUM
ap-965	448	60	8	8	NUM
ap-965	448	61	�	�	PROPN
ap-965	448	62	�	�	PROPN
ap-965	448	63	1	1	NUM
ap-965	448	64	1	1	NUM
ap-965	448	65	(	(	PUNCT
ap-965	448	66	8.64	8.64	NUM
ap-965	448	67	)	)	PUNCT
ap-965	448	68	where	where	SCONJ
ap-965	448	69	the	the	DET
ap-965	448	70	�	�	PROPN
ap-965	448	71	j	j	PROPN
ap-965	448	72	matrices	matrix	NOUN
ap-965	448	73	(	(	PUNCT
ap-965	448	74	j	j	PROPN
ap-965	448	75	�	�	PROPN
ap-965	448	76	1	1	NUM
ap-965	448	77	7	7	NUM
ap-965	448	78	,	,	PUNCT
ap-965	448	79	,	,	PUNCT
ap-965	448	80	�	�	PROPN
ap-965	448	81	)	)	PUNCT
ap-965	448	82	are	be	AUX
ap-965	448	83	the	the	DET
ap-965	448	84	8×8	8×8	NUM
ap-965	448	85	generators	generator	NOUN
ap-965	448	86	of	of	ADP
ap-965	448	87	the	the	DET
ap-965	448	88	cl(0	cl(0	NOUN
ap-965	448	89	,	,	PUNCT
ap-965	448	90	7	7	X
ap-965	448	91	)	)	PUNCT
ap-965	448	92	clifford	clifford	PROPN
ap-965	448	93	algebra	algebra	PROPN
ap-965	448	94	and	and	CCONJ
ap-965	448	95	h	h	NOUN
ap-965	449	1	i	i	PRON
ap-965	449	2	t	t	PROPN
ap-965	449	3	�	�	PROPN
ap-965	449	4	d	d	PROPN
ap-965	449	5	d	d	PROPN
ap-965	449	6	is	be	AUX
ap-965	449	7	the	the	DET
ap-965	449	8	hamiltonian	hamiltonian	NOUN
ap-965	449	9	.	.	PUNCT
ap-965	450	1	the	the	DET
ap-965	450	2	cl(0	cl(0	PROPN
ap-965	450	3	,	,	PUNCT
ap-965	450	4	7	7	X
ap-965	450	5	)	)	PUNCT
ap-965	450	6	clifford	clifford	PROPN
ap-965	450	7	irrep	irrep	PROPN
ap-965	450	8	is	be	AUX
ap-965	450	9	uniquely	uniquely	ADV
ap-965	450	10	defined	define	VERB
ap-965	450	11	up	up	ADP
ap-965	450	12	to	to	ADP
ap-965	450	13	similarity	similarity	NOUN
ap-965	450	14	transformations	transformation	NOUN
ap-965	450	15	and	and	CCONJ
ap-965	450	16	an	an	DET
ap-965	450	17	overall	overall	ADJ
ap-965	450	18	sign	sign	NOUN
ap-965	450	19	flipping	flip	VERB
ap-965	450	20	[	[	X
ap-965	450	21	22	22	NUM
ap-965	450	22	]	]	PUNCT
ap-965	450	23	.	.	PUNCT
ap-965	451	1	without	without	ADP
ap-965	451	2	loss	loss	NOUN
ap-965	451	3	of	of	ADP
ap-965	451	4	generality	generality	NOUN
ap-965	451	5	we	we	PRON
ap-965	451	6	can	can	AUX
ap-965	451	7	unambiguously	unambiguously	ADV
ap-965	451	8	fix	fix	VERB
ap-965	451	9	the	the	DET
ap-965	451	10	�	�	PROPN
ap-965	451	11	j	j	PROPN
ap-965	451	12	matrices	matrix	NOUN
ap-965	451	13	to	to	PART
ap-965	451	14	be	be	AUX
ap-965	451	15	given	give	VERB
ap-965	451	16	as	as	ADP
ap-965	451	17	in	in	ADP
ap-965	451	18	the	the	DET
ap-965	451	19	appendix	appendix	NOUN
ap-965	451	20	.	.	PUNCT
ap-965	452	1	each	each	DET
ap-965	452	2	�	�	PROPN
ap-965	452	3	j	j	PROPN
ap-965	452	4	matrix	matrix	NOUN
ap-965	452	5	(	(	PUNCT
ap-965	452	6	and	and	CCONJ
ap-965	452	7	the	the	DET
ap-965	452	8	18	18	NUM
ap-965	452	9	identity	identity	NOUN
ap-965	452	10	)	)	PUNCT
ap-965	452	11	possesses	possess	VERB
ap-965	452	12	8	8	NUM
ap-965	452	13	non	non	ADJ
ap-965	452	14	-	-	ADJ
ap-965	452	15	vanishing	vanishing	ADJ
ap-965	452	16	entries	entry	NOUN
ap-965	452	17	,	,	PUNCT
ap-965	452	18	one	one	NUM
ap-965	452	19	in	in	ADP
ap-965	452	20	each	each	DET
ap-965	452	21	column	column	NOUN
ap-965	452	22	and	and	CCONJ
ap-965	452	23	one	one	NUM
ap-965	452	24	in	in	ADP
ap-965	452	25	each	each	DET
ap-965	452	26	row	row	NOUN
ap-965	452	27	.	.	PUNCT
ap-965	453	1	the	the	DET
ap-965	453	2	whole	whole	ADJ
ap-965	453	3	set	set	NOUN
ap-965	453	4	of	of	ADP
ap-965	453	5	non	non	ADJ
ap-965	453	6	-	-	ADJ
ap-965	453	7	vanishing	vanishing	ADJ
ap-965	453	8	entries	entry	NOUN
ap-965	453	9	of	of	ADP
ap-965	453	10	the	the	DET
ap-965	453	11	eight	eight	NUM
ap-965	453	12	(	(	PUNCT
ap-965	453	13	a.1	a.1	NOUN
ap-965	453	14	)	)	PUNCT
ap-965	453	15	matrices	matrix	NOUN
ap-965	453	16	fills	fill	VERB
ap-965	453	17	the	the	DET
ap-965	453	18	entire	entire	ADJ
ap-965	453	19	8	8	NUM
ap-965	453	20	8	8	NUM
ap-965	453	21	64	64	NUM
ap-965	453	22	�	�	PROPN
ap-965	453	23	�	�	PROPN
ap-965	453	24	squares	square	NOUN
ap-965	453	25	of	of	ADP
ap-965	453	26	a	a	DET
ap-965	453	27	“	"	PUNCT
ap-965	453	28	chessboard	chessboard	NOUN
ap-965	453	29	”	"	PUNCT
ap-965	453	30	.	.	PUNCT
ap-965	454	1	the	the	DET
ap-965	454	2	chessboard	chessboard	NOUN
ap-965	454	3	appears	appear	VERB
ap-965	454	4	in	in	ADP
ap-965	454	5	the	the	DET
ap-965	454	6	upper	upper	ADJ
ap-965	454	7	right	right	ADJ
ap-965	454	8	block	block	NOUN
ap-965	454	9	of	of	ADP
ap-965	454	10	(	(	PUNCT
ap-965	454	11	8.64	8.64	NUM
ap-965	454	12	)	)	PUNCT
ap-965	454	13	.	.	PUNCT
ap-965	455	1	the	the	DET
ap-965	455	2	length-3	length-3	NUM
ap-965	455	3	and	and	CCONJ
ap-965	455	4	length-4	length-4	PRON
ap-965	455	5	n	n	PRON
ap-965	455	6	�	�	PROPN
ap-965	455	7	5	5	NUM
ap-965	455	8	6	6	NUM
ap-965	455	9	7	7	NUM
ap-965	455	10	8	8	NUM
ap-965	455	11	,	,	PUNCT
ap-965	455	12	,	,	PUNCT
ap-965	455	13	,	,	PUNCT
ap-965	455	14	irreps	irrep	NOUN
ap-965	455	15	(	(	PUNCT
ap-965	455	16	no	no	DET
ap-965	455	17	irrep	irrep	NOUN
ap-965	455	18	with	with	ADP
ap-965	455	19	length	length	NOUN
ap-965	455	20	l	l	NOUN
ap-965	455	21	%	%	NOUN
ap-965	456	1	4	4	NUM
ap-965	456	2	exists	exist	VERB
ap-965	456	3	for	for	ADP
ap-965	456	4	n	n	PRON
ap-965	456	5	�	�	PROPN
ap-965	456	6	9	9	NUM
ap-965	456	7	,	,	PUNCT
ap-965	456	8	see	see	VERB
ap-965	456	9	[	[	X
ap-965	456	10	14	14	NUM
ap-965	456	11	]	]	PUNCT
ap-965	456	12	)	)	PUNCT
ap-965	456	13	are	be	AUX
ap-965	456	14	acted	act	VERB
ap-965	456	15	upon	upon	SCONJ
ap-965	456	16	by	by	ADP
ap-965	456	17	the	the	DET
ap-965	456	18	qi	qi	PROPN
ap-965	456	19	’s	’s	PART
ap-965	456	20	supersymmetry	supersymmetry	NOUN
ap-965	456	21	transformations	transformation	NOUN
ap-965	456	22	,	,	PUNCT
ap-965	456	23	obtained	obtain	VERB
ap-965	456	24	from	from	ADP
ap-965	456	25	the	the	DET
ap-965	456	26	original	original	ADJ
ap-965	456	27	�	�	PROPN
ap-965	456	28	qi	qi	NOUN
ap-965	456	29	operators	operator	NOUN
ap-965	456	30	through	through	ADP
ap-965	456	31	a	a	DET
ap-965	456	32	dressing	dressing	NOUN
ap-965	456	33	,	,	PUNCT
ap-965	456	34	�	�	PROPN
ap-965	456	35	�	�	PROPN
ap-965	456	36	q	q	PROPN
ap-965	457	1	q	q	NOUN
ap-965	457	2	dq	dq	INTJ
ap-965	457	3	di	di	INTJ
ap-965	458	1	i	i	PRON
ap-965	458	2	i	i	PROPN
ap-965	458	3	�	�	PROPN
ap-965	458	4	�	�	PROPN
ap-965	458	5	�	�	PROPN
ap-965	458	6	1	1	NUM
ap-965	458	7	,	,	PUNCT
ap-965	458	8	(	(	PUNCT
ap-965	458	9	8.65	8.65	NUM
ap-965	458	10	)	)	PUNCT
ap-965	458	11	realized	realize	VERB
ap-965	458	12	by	by	ADP
ap-965	458	13	a	a	DET
ap-965	458	14	diagonal	diagonal	ADJ
ap-965	458	15	dressing	dressing	NOUN
ap-965	458	16	matrix	matrix	NOUN
ap-965	458	17	d.	d.	NOUN
ap-965	459	1	it	it	PRON
ap-965	459	2	should	should	AUX
ap-965	459	3	be	be	AUX
ap-965	459	4	noted	note	VERB
ap-965	459	5	that	that	SCONJ
ap-965	459	6	only	only	ADV
ap-965	459	7	the	the	DET
ap-965	459	8	subset	subset	NOUN
ap-965	459	9	of	of	ADP
ap-965	459	10	“	"	PUNCT
ap-965	459	11	regular	regular	ADJ
ap-965	459	12	”	"	PUNCT
ap-965	459	13	dressed	dress	VERB
ap-965	459	14	operators	operator	NOUN
ap-965	459	15	qi	qi	PROPN
ap-965	459	16	(	(	PUNCT
ap-965	459	17	i.e.	i.e.	X
ap-965	459	18	,	,	PUNCT
ap-965	459	19	having	have	VERB
ap-965	459	20	no	no	DET
ap-965	459	21	1	1	NUM
ap-965	459	22	h	h	NOUN
ap-965	459	23	or	or	CCONJ
ap-965	459	24	higher	high	ADJ
ap-965	459	25	poles	pole	NOUN
ap-965	459	26	in	in	ADP
ap-965	459	27	its	its	PRON
ap-965	459	28	entries	entry	NOUN
ap-965	459	29	)	)	PUNCT
ap-965	459	30	act	act	NOUN
ap-965	459	31	on	on	ADP
ap-965	459	32	the	the	DET
ap-965	459	33	new	new	ADJ
ap-965	459	34	irreducible	irreducible	ADJ
ap-965	459	35	multiplet	multiplet	NOUN
ap-965	459	36	.	.	PUNCT
ap-965	460	1	apart	apart	ADV
ap-965	460	2	from	from	ADP
ap-965	460	3	the	the	DET
ap-965	460	4	self	self	NOUN
ap-965	460	5	-	-	PUNCT
ap-965	460	6	dual	dual	ADJ
ap-965	460	7	(	(	PUNCT
ap-965	460	8	4	4	NUM
ap-965	460	9	,	,	PUNCT
ap-965	460	10	8	8	NUM
ap-965	460	11	,	,	PUNCT
ap-965	460	12	4	4	NUM
ap-965	460	13	)	)	PUNCT
ap-965	460	14	n	n	PRON
ap-965	460	15	�	�	PROPN
ap-965	460	16	5	5	NUM
ap-965	460	17	6	6	NUM
ap-965	460	18	,	,	PUNCT
ap-965	460	19	irreps	irrep	NOUN
ap-965	460	20	,	,	PUNCT
ap-965	460	21	without	without	ADP
ap-965	460	22	loss	loss	NOUN
ap-965	460	23	of	of	ADP
ap-965	460	24	generality	generality	NOUN
ap-965	460	25	,	,	PUNCT
ap-965	460	26	for	for	ADP
ap-965	460	27	our	our	PRON
ap-965	460	28	purpose	purpose	NOUN
ap-965	460	29	of	of	ADP
ap-965	460	30	computing	compute	VERB
ap-965	460	31	the	the	DET
ap-965	460	32	irrep	irrep	ADJ
ap-965	460	33	connectivities	connectivity	NOUN
ap-965	460	34	,	,	PUNCT
ap-965	460	35	the	the	DET
ap-965	460	36	diagonal	diagonal	ADJ
ap-965	460	37	dressing	dressing	NOUN
ap-965	460	38	matrix	matrix	NOUN
ap-965	460	39	d	d	NOUN
ap-965	460	40	which	which	PRON
ap-965	460	41	produces	produce	VERB
ap-965	460	42	an	an	DET
ap-965	460	43	irrep	irrep	NOUN
ap-965	460	44	with	with	ADP
ap-965	460	45	(	(	PUNCT
ap-965	460	46	,	,	PUNCT
ap-965	460	47	,	,	PUNCT
ap-965	460	48	)	)	PUNCT
ap-965	460	49	n	n	CCONJ
ap-965	460	50	n	n	CCONJ
ap-965	460	51	n	n	CCONJ
ap-965	460	52	n1	n1	ADJ
ap-965	460	53	1	1	NUM
ap-965	460	54	�	�	PROPN
ap-965	460	55	fields	field	NOUN
ap-965	460	56	content	content	NOUN
ap-965	460	57	can	can	AUX
ap-965	460	58	be	be	AUX
ap-965	460	59	chosen	choose	VERB
ap-965	460	60	to	to	PART
ap-965	460	61	have	have	VERB
ap-965	460	62	its	its	PRON
ap-965	460	63	non	non	ADJ
ap-965	460	64	-	-	ADJ
ap-965	460	65	vanishing	vanishing	ADJ
ap-965	460	66	diagonal	diagonal	ADJ
ap-965	460	67	entries	entry	NOUN
ap-965	460	68	given	give	VERB
ap-965	460	69	by	by	ADP
ap-965	460	70	pq	pq	PROPN
ap-965	460	71	qd	qd	NOUN
ap-965	460	72	,	,	PUNCT
ap-965	460	73	with	with	ADP
ap-965	460	74	dq	dq	PROPN
ap-965	460	75	�	�	NOUN
ap-965	460	76	1	1	NUM
ap-965	460	77	for	for	ADP
ap-965	460	78	q	q	PROPN
ap-965	460	79	n	n	X
ap-965	460	80	�	�	PROPN
ap-965	460	81	1	1	NUM
ap-965	460	82	1	1	NUM
ap-965	460	83	,	,	PUNCT
ap-965	460	84	,	,	PUNCT
ap-965	460	85	�	�	PROPN
ap-965	460	86	and	and	CCONJ
ap-965	460	87	q	q	PROPN
ap-965	460	88	n	n	CCONJ
ap-965	460	89	n	n	CCONJ
ap-965	460	90	�	�	PROPN
ap-965	460	91	�	�	PROPN
ap-965	460	92	1	1	NUM
ap-965	460	93	2	2	NUM
ap-965	460	94	,	,	PUNCT
ap-965	460	95	,	,	PUNCT
ap-965	460	96	�	�	PROPN
ap-965	460	97	,	,	PUNCT
ap-965	460	98	while	while	SCONJ
ap-965	460	99	d	d	PROPN
ap-965	460	100	hq	hq	PROPN
ap-965	460	101	�	�	PROPN
ap-965	460	102	for	for	ADP
ap-965	460	103	q	q	PROPN
ap-965	460	104	n	n	CCONJ
ap-965	460	105	n	n	CCONJ
ap-965	460	106	�	�	PROPN
ap-965	460	107	�	�	PROPN
ap-965	460	108	1	1	NUM
ap-965	460	109	1	1	NUM
ap-965	460	110	,	,	PUNCT
ap-965	460	111	,	,	PUNCT
ap-965	460	112	�	�	PROPN
ap-965	460	113	.	.	PUNCT
ap-965	461	1	any	any	DET
ap-965	461	2	permutation	permutation	NOUN
ap-965	461	3	of	of	ADP
ap-965	461	4	the	the	DET
ap-965	461	5	first	first	ADJ
ap-965	461	6	n	n	NOUN
ap-965	461	7	entries	entry	NOUN
ap-965	461	8	produces	produce	VERB
ap-965	461	9	a	a	DET
ap-965	461	10	dressing	dressing	NOUN
ap-965	461	11	which	which	PRON
ap-965	461	12	is	be	AUX
ap-965	461	13	equivalent	equivalent	ADJ
ap-965	461	14	,	,	PUNCT
ap-965	461	15	for	for	ADP
ap-965	461	16	computing	compute	VERB
ap-965	461	17	both	both	CCONJ
ap-965	461	18	the	the	DET
ap-965	461	19	field	field	NOUN
ap-965	461	20	content	content	NOUN
ap-965	461	21	and	and	CCONJ
ap-965	461	22	the	the	DET
ap-965	461	23	�	�	PROPN
ap-965	461	24	g	g	NOUN
ap-965	461	25	connectivity	connectivity	NOUN
ap-965	461	26	,	,	PUNCT
ap-965	461	27	to	to	AUX
ap-965	461	28	d.	d.	VERB
ap-965	461	29	the	the	DET
ap-965	461	30	only	only	ADJ
ap-965	461	31	exceptions	exception	NOUN
ap-965	461	32	correspond	correspond	VERB
ap-965	461	33	to	to	ADP
ap-965	461	34	the	the	DET
ap-965	461	35	n	n	PROPN
ap-965	461	36	�	�	PROPN
ap-965	461	37	5	5	NUM
ap-965	461	38	(	(	PUNCT
ap-965	461	39	4	4	NUM
ap-965	461	40	,	,	PUNCT
ap-965	461	41	8	8	NUM
ap-965	461	42	,	,	PUNCT
ap-965	461	43	4	4	NUM
ap-965	461	44	)	)	PUNCT
ap-965	461	45	and	and	CCONJ
ap-965	461	46	n	n	PRON
ap-965	461	47	�	�	PROPN
ap-965	461	48	6	6	NUM
ap-965	461	49	(	(	PUNCT
ap-965	461	50	4	4	NUM
ap-965	461	51	,	,	PUNCT
ap-965	461	52	8	8	NUM
ap-965	461	53	,	,	PUNCT
ap-965	461	54	4	4	X
ap-965	461	55	)	)	PUNCT
ap-965	461	56	irreps	irrep	NOUN
ap-965	461	57	.	.	PUNCT
ap-965	462	1	besides	besides	SCONJ
ap-965	462	2	the	the	DET
ap-965	462	3	diagonal	diagonal	ADJ
ap-965	462	4	matrix	matrix	NOUN
ap-965	462	5	d	d	NOUN
ap-965	462	6	as	as	ADP
ap-965	462	7	above	above	ADJ
ap-965	462	8	,	,	PUNCT
ap-965	462	9	non	non	ADJ
ap-965	462	10	-	-	ADJ
ap-965	462	11	equivalent	equivalent	ADJ
ap-965	462	12	irreps	irrep	NOUN
ap-965	462	13	can	can	AUX
ap-965	462	14	be	be	AUX
ap-965	462	15	obtained	obtain	VERB
ap-965	462	16	by	by	ADP
ap-965	462	17	a	a	DET
ap-965	462	18	diagonal	diagonal	ADJ
ap-965	462	19	dressing	dress	VERB
ap-965	462	20	�	�	NOUN
ap-965	462	21	d	d	NOUN
ap-965	462	22	with	with	ADP
ap-965	462	23	diagonal	diagonal	ADJ
ap-965	462	24	entries	entry	NOUN
ap-965	462	25	pq	pq	X
ap-965	462	26	qd	qd	ADP
ap-965	462	27	�	�	PROPN
ap-965	462	28	,	,	PUNCT
ap-965	462	29	with	with	ADP
ap-965	462	30	�	�	PROPN
ap-965	462	31	�	�	PROPN
ap-965	462	32	d	d	PROPN
ap-965	462	33	hq	hq	NOUN
ap-965	462	34	for	for	ADP
ap-965	462	35	q	q	PROPN
ap-965	462	36	�	�	PROPN
ap-965	462	37	4	4	NUM
ap-965	462	38	6	6	NUM
ap-965	462	39	7	7	NUM
ap-965	462	40	8	8	NUM
ap-965	462	41	,	,	PUNCT
ap-965	462	42	,	,	PUNCT
ap-965	462	43	,	,	PUNCT
ap-965	462	44	and	and	CCONJ
ap-965	462	45	�	�	PROPN
ap-965	462	46	�	�	PROPN
ap-965	462	47	dq	dq	ADP
ap-965	462	48	1for	1for	PROPN
ap-965	462	49	the	the	DET
ap-965	462	50	remaining	remain	VERB
ap-965	462	51	values	value	NOUN
ap-965	462	52	of	of	ADP
ap-965	462	53	q.	q.	NOUN
ap-965	462	54	similarly	similarly	ADV
ap-965	462	55	,	,	PUNCT
ap-965	462	56	the	the	DET
ap-965	462	57	(	(	PUNCT
ap-965	462	58	,	,	PUNCT
ap-965	462	59	,	,	PUNCT
ap-965	462	60	,	,	PUNCT
ap-965	462	61	)	)	PUNCT
ap-965	462	62	n	n	CCONJ
ap-965	462	63	n	n	CCONJ
ap-965	462	64	n	n	CCONJ
ap-965	462	65	n	n	CCONJ
ap-965	462	66	n	n	CCONJ
ap-965	462	67	n1	n1	NOUN
ap-965	462	68	2	2	NUM
ap-965	462	69	1	1	NUM
ap-965	462	70	2	2	NUM
ap-965	462	71	�	�	PROPN
ap-965	462	72	�	�	PROPN
ap-965	462	73	length-4	length-4	NUM
ap-965	462	74	multiplets	multiplet	NOUN
ap-965	462	75	are	be	AUX
ap-965	462	76	acted	act	VERB
ap-965	462	77	upon	upon	SCONJ
ap-965	462	78	by	by	ADP
ap-965	462	79	the	the	DET
ap-965	462	80	qi	qi	PROPN
ap-965	462	81	operators	operator	NOUN
ap-965	462	82	dressed	dress	VERB
ap-965	462	83	by	by	ADP
ap-965	462	84	d	d	PROPN
ap-965	462	85	,	,	PUNCT
ap-965	462	86	whose	whose	DET
ap-965	462	87	non	non	ADJ
ap-965	462	88	-	-	ADJ
ap-965	462	89	vanishing	vanishing	ADJ
ap-965	462	90	diagonal	diagonal	ADJ
ap-965	462	91	entries	entry	NOUN
ap-965	462	92	are	be	AUX
ap-965	462	93	now	now	ADV
ap-965	462	94	given	give	VERB
ap-965	462	95	by	by	ADP
ap-965	462	96	pq	pq	PROPN
ap-965	462	97	qd	qd	NOUN
ap-965	462	98	,	,	PUNCT
ap-965	462	99	with	with	ADP
ap-965	462	100	dq	dq	PROPN
ap-965	462	101	�	�	NOUN
ap-965	462	102	1	1	NUM
ap-965	462	103	for	for	ADP
ap-965	462	104	q	q	PROPN
ap-965	462	105	n	n	X
ap-965	462	106	�	�	PROPN
ap-965	462	107	1	1	NUM
ap-965	462	108	1	1	NUM
ap-965	462	109	,	,	PUNCT
ap-965	462	110	,	,	PUNCT
ap-965	462	111	�	�	PROPN
ap-965	462	112	and	and	CCONJ
ap-965	462	113	q	q	PROPN
ap-965	462	114	n	n	CCONJ
ap-965	462	115	n	n	CCONJ
ap-965	462	116	n	n	CCONJ
ap-965	462	117	�	�	PROPN
ap-965	462	118	�	�	PROPN
ap-965	462	119	�	�	PROPN
ap-965	462	120	2	2	NUM
ap-965	462	121	1	1	NUM
ap-965	462	122	22	22	NUM
ap-965	462	123	,	,	PUNCT
ap-965	462	124	,	,	PUNCT
ap-965	462	125	�	�	PROPN
ap-965	462	126	,	,	PUNCT
ap-965	462	127	while	while	SCONJ
ap-965	462	128	d	d	PROPN
ap-965	462	129	hq	hq	PROPN
ap-965	462	130	�	�	PROPN
ap-965	462	131	for	for	ADP
ap-965	462	132	q	q	PROPN
ap-965	462	133	n	n	CCONJ
ap-965	462	134	n	n	CCONJ
ap-965	462	135	n	n	CCONJ
ap-965	462	136	�	�	PROPN
ap-965	462	137	�	�	PROPN
ap-965	462	138	�	�	PROPN
ap-965	462	139	1	1	NUM
ap-965	462	140	21	21	NUM
ap-965	462	141	2	2	NUM
ap-965	462	142	,	,	PUNCT
ap-965	462	143	,	,	PUNCT
ap-965	462	144	�	�	PROPN
ap-965	462	145	.	.	PUNCT
ap-965	463	1	the	the	DET
ap-965	463	2	n	n	PROPN
ap-965	463	3	�	�	PROPN
ap-965	463	4	5	5	NUM
ap-965	463	5	6	6	NUM
ap-965	463	6	7	7	NUM
ap-965	463	7	8	8	NUM
ap-965	463	8	,	,	PUNCT
ap-965	463	9	,	,	PUNCT
ap-965	463	10	,	,	PUNCT
ap-965	463	11	length-2	length-2	PROPN
ap-965	463	12	(	(	PUNCT
ap-965	463	13	8	8	NUM
ap-965	463	14	,	,	PUNCT
ap-965	463	15	8)	8)	NUM
ap-965	463	16	irreps	irrep	NOUN
ap-965	463	17	are	be	AUX
ap-965	463	18	unique	unique	ADJ
ap-965	463	19	(	(	PUNCT
ap-965	463	20	for	for	ADP
ap-965	463	21	the	the	DET
ap-965	463	22	given	give	VERB
ap-965	463	23	value	value	NOUN
ap-965	463	24	of	of	ADP
ap-965	463	25	n	n	CCONJ
ap-965	463	26	)	)	PUNCT
ap-965	463	27	,	,	PUNCT
ap-965	463	28	see	see	VERB
ap-965	463	29	[	[	X
ap-965	463	30	26	26	NUM
ap-965	463	31	]	]	PUNCT
ap-965	463	32	.	.	PUNCT
ap-965	464	1	it	it	PRON
ap-965	464	2	is	be	AUX
ap-965	464	3	also	also	ADV
ap-965	464	4	easily	easily	ADV
ap-965	464	5	recognized	recognize	VERB
ap-965	464	6	that	that	SCONJ
ap-965	464	7	all	all	DET
ap-965	464	8	n	n	PRON
ap-965	464	9	�	�	VERB
ap-965	464	10	8	8	NUM
ap-965	464	11	length-3	length-3	NUM
ap-965	464	12	irreps	irrep	NOUN
ap-965	464	13	of	of	ADP
ap-965	464	14	a	a	DET
ap-965	464	15	given	give	VERB
ap-965	464	16	field	field	NOUN
ap-965	464	17	content	content	NOUN
ap-965	464	18	produce	produce	VERB
ap-965	464	19	the	the	DET
ap-965	464	20	same	same	ADJ
ap-965	464	21	value	value	NOUN
ap-965	464	22	of	of	ADP
ap-965	464	23	�	�	PROPN
ap-965	464	24	g	g	NOUN
ap-965	464	25	connectivity	connectivity	NOUN
ap-965	464	26	(	(	PUNCT
ap-965	464	27	8.63	8.63	NUM
ap-965	464	28	)	)	PUNCT
ap-965	464	29	.	.	PUNCT
ap-965	465	1	as	as	SCONJ
ap-965	465	2	concerns	concern	NOUN
ap-965	465	3	the	the	DET
ap-965	465	4	length-3	length-3	NUM
ap-965	465	5	n	n	PRON
ap-965	465	6	�	�	PROPN
ap-965	465	7	5	5	NUM
ap-965	465	8	6	6	NUM
ap-965	465	9	7	7	NUM
ap-965	465	10	,	,	PUNCT
ap-965	465	11	,	,	PUNCT
ap-965	465	12	irreps	irrep	VERB
ap-965	465	13	the	the	DET
ap-965	465	14	situation	situation	NOUN
ap-965	465	15	is	be	AUX
ap-965	465	16	as	as	SCONJ
ap-965	465	17	follows	follow	VERB
ap-965	465	18	.	.	PUNCT
ap-965	466	1	let	let	VERB
ap-965	466	2	us	we	PRON
ap-965	466	3	consider	consider	VERB
ap-965	466	4	the	the	DET
ap-965	466	5	irreps	irrep	NOUN
ap-965	466	6	with	with	ADP
ap-965	466	7	(	(	PUNCT
ap-965	466	8	,	,	PUNCT
ap-965	466	9	,	,	PUNCT
ap-965	466	10	)	)	PUNCT
ap-965	466	11	k	k	PROPN
ap-965	466	12	k8	k8	PROPN
ap-965	466	13	8	8	NUM
ap-965	466	14	�	�	PROPN
ap-965	466	15	field	field	NOUN
ap-965	466	16	content	content	NOUN
ap-965	466	17	.	.	PUNCT
ap-965	467	1	their	their	PRON
ap-965	467	2	supersymmetry	supersymmetry	NOUN
ap-965	467	3	transformations	transformation	NOUN
ap-965	467	4	are	be	AUX
ap-965	467	5	defined	define	VERB
ap-965	467	6	by	by	ADP
ap-965	467	7	picking	pick	VERB
ap-965	467	8	an	an	DET
ap-965	467	9	n	n	NOUN
ap-965	467	10	&	&	CCONJ
ap-965	467	11	8	8	NUM
ap-965	467	12	subset	subset	VERB
ap-965	467	13	from	from	ADP
ap-965	467	14	the	the	DET
ap-965	467	15	complete	complete	ADJ
ap-965	467	16	set	set	NOUN
ap-965	467	17	of	of	ADP
ap-965	467	18	8	8	NUM
ap-965	467	19	dressed	dress	VERB
ap-965	467	20	qi	qi	NOUN
ap-965	467	21	operators	operator	NOUN
ap-965	467	22	.	.	PUNCT
ap-965	468	1	it	it	PRON
ap-965	468	2	is	be	AUX
ap-965	468	3	easily	easily	ADV
ap-965	468	4	recognized	recognize	VERB
ap-965	468	5	that	that	SCONJ
ap-965	468	6	for	for	ADP
ap-965	468	7	n	n	PRON
ap-965	468	8	�	�	PROPN
ap-965	468	9	7	7	NUM
ap-965	468	10	,	,	PUNCT
ap-965	468	11	no	no	ADV
ap-965	468	12	matter	matter	ADV
ap-965	468	13	which	which	DET
ap-965	468	14	supersymmetry	supersymmetry	NOUN
ap-965	468	15	operator	operator	NOUN
ap-965	468	16	is	be	AUX
ap-965	468	17	discarded	discard	VERB
ap-965	468	18	,	,	PUNCT
ap-965	468	19	any	any	DET
ap-965	468	20	choice	choice	NOUN
ap-965	468	21	of	of	ADP
ap-965	468	22	the	the	DET
ap-965	468	23	seven	seven	NUM
ap-965	468	24	operators	operator	NOUN
ap-965	468	25	produces	produce	VERB
ap-965	468	26	the	the	DET
ap-965	468	27	same	same	ADJ
ap-965	468	28	value	value	NOUN
ap-965	468	29	for	for	ADP
ap-965	468	30	the	the	DET
ap-965	468	31	�	�	PROPN
ap-965	468	32	g	g	NOUN
ap-965	468	33	connectivity	connectivity	NOUN
ap-965	468	34	.	.	PUNCT
ap-965	469	1	irreps	irreps	ADJ
ap-965	469	2	with	with	ADP
ap-965	469	3	different	different	ADJ
ap-965	469	4	connectivity	connectivity	NOUN
ap-965	469	5	can	can	AUX
ap-965	469	6	therefore	therefore	ADV
ap-965	469	7	only	only	ADV
ap-965	469	8	be	be	AUX
ap-965	469	9	found	find	VERB
ap-965	469	10	for	for	ADP
ap-965	469	11	n	n	X
ap-965	469	12	�	�	PROPN
ap-965	469	13	5	5	NUM
ap-965	469	14	6	6	NUM
ap-965	469	15	,	,	PUNCT
ap-965	469	16	.	.	PUNCT
ap-965	470	1	the	the	DET
ap-965	470	2	8	8	NUM
ap-965	470	3	6	6	NUM
ap-965	470	4	28	28	NUM
ap-965	470	5	�	�	PROPN
ap-965	470	6	�	�	PROPN
ap-965	470	7	�	�	PROPN
ap-965	470	8	�	�	PROPN
ap-965	470	9	�	�	PROPN
ap-965	470	10	choices	choice	NOUN
ap-965	470	11	of	of	ADP
ap-965	470	12	n	n	PRON
ap-965	470	13	�	�	PROPN
ap-965	470	14	6	6	NUM
ap-965	470	15	operators	operator	NOUN
ap-965	470	16	fall	fall	VERB
ap-965	470	17	into	into	ADP
ap-965	470	18	two	two	NUM
ap-965	470	19	classes	class	NOUN
ap-965	470	20	,	,	PUNCT
ap-965	470	21	denoted	denote	VERB
ap-965	470	22	as	as	ADP
ap-965	470	23	a	a	PRON
ap-965	470	24	and	and	CCONJ
ap-965	470	25	b	b	NOUN
ap-965	470	26	,	,	PUNCT
ap-965	470	27	which	which	PRON
ap-965	470	28	can	can	AUX
ap-965	470	29	,	,	PUNCT
ap-965	470	30	potentially	potentially	ADV
ap-965	470	31	,	,	PUNCT
ap-965	470	32	produce	produce	VERB
ap-965	470	33	(	(	PUNCT
ap-965	470	34	,	,	PUNCT
ap-965	470	35	,	,	PUNCT
ap-965	470	36	)	)	PUNCT
ap-965	470	37	k	k	PROPN
ap-965	470	38	k8	k8	PROPN
ap-965	470	39	8	8	NUM
ap-965	470	40	�	�	PROPN
ap-965	470	41	irreps	irrep	VERB
ap-965	470	42	with	with	ADP
ap-965	470	43	different	different	ADJ
ap-965	470	44	connectivity	connectivity	NOUN
ap-965	470	45	.	.	PUNCT
ap-965	471	1	similarly	similarly	ADV
ap-965	471	2	,	,	PUNCT
ap-965	471	3	the	the	DET
ap-965	471	4	8	8	NUM
ap-965	471	5	5	5	NUM
ap-965	471	6	56	56	NUM
ap-965	471	7	�	�	PROPN
ap-965	471	8	�	�	PROPN
ap-965	471	9	�	�	PROPN
ap-965	471	10	�	�	PROPN
ap-965	471	11	�	�	PROPN
ap-965	471	12	choices	choice	NOUN
ap-965	471	13	of	of	ADP
ap-965	471	14	n	n	PRON
ap-965	471	15	�	�	PROPN
ap-965	471	16	5	5	NUM
ap-965	471	17	operators	operator	NOUN
ap-965	471	18	fall	fall	VERB
ap-965	471	19	into	into	ADP
ap-965	471	20	two	two	NUM
ap-965	471	21	a	a	DET
ap-965	471	22	and	and	CCONJ
ap-965	471	23	b	b	NOUN
ap-965	471	24	classes	class	NOUN
ap-965	471	25	which	which	PRON
ap-965	471	26	can	can	AUX
ap-965	471	27	,	,	PUNCT
ap-965	471	28	potentially	potentially	ADV
ap-965	471	29	,	,	PUNCT
ap-965	471	30	produce	produce	VERB
ap-965	471	31	irreps	irrep	NOUN
ap-965	471	32	of	of	ADP
ap-965	471	33	different	different	ADJ
ap-965	471	34	connectivity	connectivity	NOUN
ap-965	471	35	.	.	PUNCT
ap-965	472	1	for	for	ADP
ap-965	472	2	some	some	DET
ap-965	472	3	given	give	VERB
ap-965	472	4	(	(	PUNCT
ap-965	472	5	,	,	PUNCT
ap-965	472	6	,	,	PUNCT
ap-965	472	7	)	)	PUNCT
ap-965	472	8	k	k	PROPN
ap-965	472	9	k8	k8	PROPN
ap-965	472	10	8	8	NUM
ap-965	472	11	�	�	PROPN
ap-965	472	12	irrep	irrep	PROPN
ap-965	472	13	,	,	PUNCT
ap-965	472	14	the	the	DET
ap-965	472	15	value	value	NOUN
ap-965	472	16	of	of	ADP
ap-965	472	17	�	�	PROPN
ap-965	472	18	g	g	NOUN
ap-965	472	19	connectivity	connectivity	NOUN
ap-965	472	20	computed	compute	VERB
ap-965	472	21	in	in	ADP
ap-965	472	22	both	both	PRON
ap-965	472	23	n	n	PROPN
ap-965	472	24	�	�	PROPN
ap-965	472	25	5	5	NUM
ap-965	472	26	(	(	PUNCT
ap-965	472	27	as	as	ADV
ap-965	472	28	well	well	ADV
ap-965	472	29	as	as	ADP
ap-965	472	30	n	n	X
ap-965	472	31	�	�	PROPN
ap-965	472	32	6	6	NUM
ap-965	472	33	)	)	PUNCT
ap-965	472	34	classes	class	NOUN
ap-965	472	35	can	can	AUX
ap-965	472	36	actually	actually	ADV
ap-965	472	37	coincide	coincide	VERB
ap-965	472	38	.	.	PUNCT
ap-965	473	1	in	in	ADP
ap-965	473	2	the	the	DET
ap-965	473	3	next	next	ADJ
ap-965	473	4	section	section	NOUN
ap-965	473	5	we	we	PRON
ap-965	473	6	will	will	AUX
ap-965	473	7	show	show	VERB
ap-965	473	8	when	when	SCONJ
ap-965	473	9	this	this	DET
ap-965	473	10	feature	feature	NOUN
ap-965	473	11	does	do	AUX
ap-965	473	12	indeed	indeed	ADV
ap-965	473	13	happen	happen	VERB
ap-965	473	14	.	.	PUNCT
ap-965	474	1	to	to	PART
ap-965	474	2	be	be	AUX
ap-965	474	3	specific	specific	ADJ
ap-965	474	4	,	,	PUNCT
ap-965	474	5	we	we	PRON
ap-965	474	6	present	present	VERB
ap-965	474	7	a	a	DET
ap-965	474	8	list	list	NOUN
ap-965	474	9	of	of	ADP
ap-965	474	10	representatives	representative	NOUN
ap-965	474	11	of	of	ADP
ap-965	474	12	the	the	DET
ap-965	474	13	supersymmetry	supersymmetry	NOUN
ap-965	474	14	operators	operator	NOUN
ap-965	474	15	for	for	ADP
ap-965	474	16	each	each	DET
ap-965	474	17	n	n	NOUN
ap-965	474	18	and	and	CCONJ
ap-965	474	19	in	in	ADP
ap-965	474	20	each	each	DET
ap-965	474	21	n	n	PROPN
ap-965	474	22	�	�	PROPN
ap-965	474	23	5	5	NUM
ap-965	474	24	6	6	NUM
ap-965	474	25	,	,	PUNCT
ap-965	474	26	a	a	DET
ap-965	474	27	,	,	PUNCT
ap-965	474	28	b	b	NOUN
ap-965	474	29	class	class	NOUN
ap-965	474	30	.	.	PUNCT
ap-965	475	1	we	we	PRON
ap-965	475	2	have	have	VERB
ap-965	475	3	,	,	PUNCT
ap-965	475	4	with	with	ADP
ap-965	475	5	diagonal	diagonal	ADJ
ap-965	475	6	dressing	dressing	NOUN
ap-965	475	7	d	d	NOUN
ap-965	475	8	,	,	PUNCT
ap-965	475	9	n	n	CCONJ
ap-965	475	10	n	n	CCONJ
ap-965	475	11	n	n	ADV
ap-965	476	1	a	a	DET
ap-965	476	2	n	n	ADV
ap-965	476	3	b	b	PROPN
ap-965	476	4	n	n	ADP
ap-965	476	5	a	a	PRON
ap-965	476	6	n	n	PROPN
ap-965	476	7	b	b	PROPN
ap-965	476	8	�	�	PROPN
ap-965	476	9	�	�	PROPN
ap-965	476	10	�	�	PROPN
ap-965	476	11	�	�	PROPN
ap-965	476	12	�	�	PROPN
ap-965	476	13	�	�	PROPN
ap-965	476	14	8	8	NUM
ap-965	476	15	7	7	NUM
ap-965	476	16	6	6	NUM
ap-965	476	17	6	6	NUM
ap-965	476	18	5	5	NUM
ap-965	476	19	5	5	NUM
ap-965	476	20	(	(	PUNCT
ap-965	476	21	)	)	PUNCT
ap-965	476	22	(	(	PUNCT
ap-965	476	23	)	)	PUNCT
ap-965	476	24	(	(	PUNCT
ap-965	476	25	)	)	PUNCT
ap-965	476	26	(	(	PUNCT
ap-965	476	27	)	)	PUNCT
ap-965	476	28	case	case	NOUN
ap-965	476	29	case	case	NOUN
ap-965	476	30	case	case	NOUN
ap-965	476	31	case	case	NOUN
ap-965	476	32	�	�	PROPN
ap-965	476	33	�	�	PROPN
ap-965	476	34	�	�	PROPN
ap-965	476	35	�	�	PROPN
ap-965	476	36	�	�	PROPN
ap-965	476	37	�	�	PROPN
ap-965	476	38	q	q	PROPN
ap-965	476	39	q	q	X
ap-965	476	40	q	q	X
ap-965	476	41	q	q	X
ap-965	476	42	q	q	X
ap-965	476	43	q	q	X
ap-965	476	44	q	q	X
ap-965	476	45	q	q	X
ap-965	476	46	q	q	X
ap-965	476	47	q	q	X
ap-965	476	48	q	q	X
ap-965	476	49	q	q	X
ap-965	476	50	q	q	X
ap-965	476	51	q	q	X
ap-965	476	52	q	q	X
ap-965	476	53	q	q	NOUN
ap-965	476	54	1	1	NUM
ap-965	476	55	2	2	NUM
ap-965	476	56	3	3	NUM
ap-965	476	57	4	4	NUM
ap-965	476	58	5	5	NUM
ap-965	476	59	6	6	NUM
ap-965	476	60	7	7	NUM
ap-965	476	61	8	8	NUM
ap-965	476	62	1	1	NUM
ap-965	476	63	2	2	NUM
ap-965	476	64	3	3	NUM
ap-965	476	65	4	4	NUM
ap-965	476	66	5	5	NUM
ap-965	476	67	6	6	NUM
ap-965	476	68	7	7	NUM
ap-965	476	69	,	,	PUNCT
ap-965	476	70	,	,	PUNCT
ap-965	476	71	,	,	PUNCT
ap-965	476	72	,	,	PUNCT
ap-965	476	73	,	,	PUNCT
ap-965	476	74	,	,	PUNCT
ap-965	476	75	,	,	PUNCT
ap-965	476	76	,	,	PUNCT
ap-965	476	77	,	,	PUNCT
ap-965	476	78	,	,	PUNCT
ap-965	476	79	,	,	PUNCT
ap-965	476	80	,	,	PUNCT
ap-965	476	81	,	,	PUNCT
ap-965	476	82	1	1	NUM
ap-965	476	83	3	3	NUM
ap-965	476	84	4	4	NUM
ap-965	476	85	5	5	NUM
ap-965	476	86	6	6	NUM
ap-965	476	87	7	7	NUM
ap-965	476	88	1	1	NUM
ap-965	476	89	2	2	NUM
ap-965	476	90	3	3	NUM
ap-965	476	91	4	4	NUM
ap-965	476	92	5	5	NUM
ap-965	476	93	6	6	NUM
ap-965	476	94	3	3	NUM
ap-965	476	95	4	4	NUM
ap-965	476	96	5	5	NUM
ap-965	476	97	6	6	NUM
ap-965	476	98	7	7	NUM
ap-965	476	99	2	2	NUM
ap-965	476	100	,	,	PUNCT
ap-965	476	101	,	,	PUNCT
ap-965	476	102	,	,	PUNCT
ap-965	476	103	,	,	PUNCT
ap-965	476	104	,	,	PUNCT
ap-965	476	105	,	,	PUNCT
ap-965	476	106	,	,	PUNCT
ap-965	476	107	,	,	PUNCT
ap-965	476	108	,	,	PUNCT
ap-965	476	109	,	,	PUNCT
ap-965	476	110	,	,	PUNCT
ap-965	476	111	,	,	PUNCT
ap-965	476	112	,	,	PUNCT
ap-965	476	113	,	,	PUNCT
ap-965	476	114	,	,	PUNCT
ap-965	476	115	q	q	PRON
ap-965	476	116	q	q	X
ap-965	476	117	q	q	X
ap-965	476	118	q	q	X
ap-965	476	119	q	q	X
ap-965	476	120	q	q	X
ap-965	476	121	q	q	X
ap-965	476	122	q	q	X
ap-965	476	123	q	q	X
ap-965	476	124	q	q	X
ap-965	476	125	q	q	X
ap-965	476	126	q	q	X
ap-965	476	127	q	q	X
ap-965	476	128	q	q	X
ap-965	476	129	q	q	X
ap-965	476	130	q	q	X
ap-965	476	131	q	q	X
ap-965	476	132	q	q	X
ap-965	476	133	q	q	X
ap-965	476	134	q	q	NOUN
ap-965	476	135	q3	q3	NOUN
ap-965	476	136	4	4	NUM
ap-965	476	137	5	5	NUM
ap-965	476	138	6	6	NUM
ap-965	476	139	,	,	PUNCT
ap-965	476	140	,	,	PUNCT
ap-965	476	141	,	,	PUNCT
ap-965	476	142	(	(	PUNCT
ap-965	476	143	8.66	8.66	NUM
ap-965	476	144	)	)	PUNCT
ap-965	476	145	and	and	CCONJ
ap-965	476	146	,	,	PUNCT
ap-965	476	147	with	with	ADP
ap-965	476	148	diagonal	diagonal	ADJ
ap-965	476	149	dressing	dressing	NOUN
ap-965	476	150	�	�	NOUN
ap-965	476	151	d	d	NOUN
ap-965	476	152	for	for	ADP
ap-965	476	153	the	the	DET
ap-965	476	154	(	(	PUNCT
ap-965	476	155	4	4	NUM
ap-965	476	156	,	,	PUNCT
ap-965	476	157	8	8	NUM
ap-965	476	158	,	,	PUNCT
ap-965	476	159	4	4	X
ap-965	476	160	)	)	PUNCT
ap-965	476	161	irreps	irrep	NOUN
ap-965	476	162	,	,	PUNCT
ap-965	476	163	n	n	DET
ap-965	476	164	a	a	DET
ap-965	476	165	n	n	NOUN
ap-965	476	166	a	a	DET
ap-965	476	167	q	q	NOUN
ap-965	476	168	q	q	X
ap-965	476	169	q	q	X
ap-965	476	170	q	q	X
ap-965	476	171	q	q	X
ap-965	476	172	q	q	X
ap-965	476	173	q	q	X
ap-965	476	174	q	q	X
ap-965	476	175	q	q	ADJ
ap-965	476	176	�	�	PROPN
ap-965	476	177	�	�	PROPN
ap-965	476	178	�	�	PROPN
ap-965	476	179	�	�	PROPN
ap-965	476	180	�	�	PROPN
ap-965	476	181	�	�	PROPN
ap-965	476	182	6	6	NUM
ap-965	476	183	5	5	NUM
ap-965	476	184	1	1	NUM
ap-965	476	185	3	3	NUM
ap-965	476	186	4	4	NUM
ap-965	476	187	5	5	NUM
ap-965	476	188	6	6	NUM
ap-965	476	189	7	7	NUM
ap-965	476	190	3	3	NUM
ap-965	476	191	4	4	NUM
ap-965	476	192	(	(	PUNCT
ap-965	476	193	)	)	PUNCT
ap-965	476	194	(	(	PUNCT
ap-965	476	195	)	)	PUNCT
ap-965	476	196	,	,	PUNCT
ap-965	476	197	,	,	PUNCT
ap-965	476	198	,	,	PUNCT
ap-965	476	199	,	,	PUNCT
ap-965	476	200	,	,	PUNCT
ap-965	476	201	,	,	PUNCT
ap-965	476	202	,	,	PUNCT
ap-965	476	203	case	case	NOUN
ap-965	476	204	case	case	NOUN
ap-965	476	205	5	5	NUM
ap-965	476	206	6	6	NUM
ap-965	476	207	7	7	NUM
ap-965	476	208	,	,	PUNCT
ap-965	476	209	,	,	PUNCT
ap-965	476	210	q	q	NOUN
ap-965	476	211	q	q	X
ap-965	476	212	(	(	PUNCT
ap-965	476	213	8.67	8.67	NUM
ap-965	476	214	)	)	PUNCT
ap-965	476	215	we	we	PRON
ap-965	476	216	are	be	AUX
ap-965	476	217	now	now	ADV
ap-965	476	218	in	in	ADP
ap-965	476	219	a	a	DET
ap-965	476	220	position	position	NOUN
ap-965	476	221	to	to	PART
ap-965	476	222	compute	compute	VERB
ap-965	476	223	the	the	DET
ap-965	476	224	connectivities	connectivity	NOUN
ap-965	476	225	of	of	ADP
ap-965	476	226	the	the	DET
ap-965	476	227	irreps	irrep	NOUN
ap-965	476	228	(	(	PUNCT
ap-965	476	229	the	the	DET
ap-965	476	230	results	result	NOUN
ap-965	476	231	are	be	AUX
ap-965	476	232	furnished	furnish	VERB
ap-965	476	233	in	in	ADP
ap-965	476	234	the	the	DET
ap-965	476	235	next	next	ADJ
ap-965	476	236	section	section	NOUN
ap-965	476	237	)	)	PUNCT
ap-965	476	238	.	.	PUNCT
ap-965	477	1	quite	quite	ADV
ap-965	477	2	literally	literally	ADV
ap-965	477	3	,	,	PUNCT
ap-965	477	4	the	the	DET
ap-965	477	5	computations	computation	NOUN
ap-965	477	6	can	can	AUX
ap-965	477	7	be	be	AUX
ap-965	477	8	performed	perform	VERB
ap-965	477	9	by	by	ADP
ap-965	477	10	filling	fill	VERB
ap-965	477	11	a	a	DET
ap-965	477	12	chessboard	chessboard	NOUN
ap-965	477	13	with	with	ADP
ap-965	477	14	pawns	pawn	NOUN
ap-965	477	15	representing	represent	VERB
ap-965	477	16	the	the	DET
ap-965	477	17	allowed	allow	VERB
ap-965	477	18	configurations	configuration	NOUN
ap-965	477	19	.	.	PUNCT
ap-965	478	1	9	9	NUM
ap-965	478	2	classification	classification	NOUN
ap-965	478	3	of	of	ADP
ap-965	478	4	the	the	DET
ap-965	478	5	irrep	irrep	ADJ
ap-965	478	6	connectivities	connectivity	NOUN
ap-965	478	7	in	in	ADP
ap-965	478	8	this	this	DET
ap-965	478	9	section	section	NOUN
ap-965	478	10	we	we	PRON
ap-965	478	11	report	report	VERB
ap-965	478	12	the	the	DET
ap-965	478	13	results	result	NOUN
ap-965	478	14	of	of	ADP
ap-965	478	15	the	the	DET
ap-965	478	16	computation	computation	NOUN
ap-965	478	17	of	of	ADP
ap-965	478	18	the	the	DET
ap-965	478	19	allowed	allow	VERB
ap-965	478	20	connectivities	connectivity	NOUN
ap-965	478	21	for	for	ADP
ap-965	478	22	the	the	DET
ap-965	478	23	n	n	PROPN
ap-965	478	24	�	�	PROPN
ap-965	478	25	5	5	NUM
ap-965	478	26	6	6	NUM
ap-965	478	27	7	7	NUM
ap-965	478	28	,	,	PUNCT
ap-965	478	29	,	,	PUNCT
ap-965	478	30	length-3	length-3	NUM
ap-965	478	31	irreps	irrep	NOUN
ap-965	478	32	.	.	PUNCT
ap-965	479	1	it	it	PRON
ap-965	479	2	turns	turn	VERB
ap-965	479	3	out	out	ADP
ap-965	479	4	that	that	SCONJ
ap-965	479	5	the	the	DET
ap-965	479	6	only	only	ADJ
ap-965	479	7	values	value	NOUN
ap-965	479	8	of	of	ADP
ap-965	479	9	n	n	PRON
ap-965	479	10	�	�	NOUN
ap-965	479	11	8	8	NUM
ap-965	479	12	allowing	allow	VERB
ap-965	479	13	the	the	DET
ap-965	479	14	existence	existence	NOUN
ap-965	479	15	of	of	ADP
ap-965	479	16	multiplets	multiplet	NOUN
ap-965	479	17	with	with	ADP
ap-965	479	18	the	the	DET
ap-965	479	19	same	same	ADJ
ap-965	479	20	field	field	NOUN
ap-965	479	21	content	content	NOUN
ap-965	479	22	but	but	CCONJ
ap-965	479	23	non	non	ADJ
ap-965	479	24	-	-	ADJ
ap-965	479	25	equivalent	equivalent	ADJ
ap-965	479	26	connectivities	connectivity	NOUN
ap-965	479	27	are	be	AUX
ap-965	479	28	n	n	PRON
ap-965	479	29	�	�	PROPN
ap-965	479	30	5and	5and	NUM
ap-965	479	31	n	n	PRON
ap-965	479	32	�	�	PROPN
ap-965	479	33	6	6	NUM
ap-965	479	34	.	.	PUNCT
ap-965	480	1	the	the	DET
ap-965	480	2	results	result	NOUN
ap-965	480	3	concerning	concern	VERB
ap-965	480	4	the	the	DET
ap-965	480	5	allowed	allow	VERB
ap-965	480	6	�	�	PROPN
ap-965	480	7	g	g	NOUN
ap-965	480	8	connectivities	connectivity	NOUN
ap-965	480	9	of	of	ADP
ap-965	480	10	the	the	DET
ap-965	480	11	length-3	length-3	NUM
ap-965	480	12	irreps	irrep	NOUN
ap-965	480	13	are	be	AUX
ap-965	480	14	reported	report	VERB
ap-965	480	15	in	in	ADP
ap-965	480	16	the	the	DET
ap-965	480	17	following	follow	VERB
ap-965	480	18	table	table	NOUN
ap-965	480	19	(	(	PUNCT
ap-965	480	20	the	the	DET
ap-965	480	21	a	a	X
ap-965	480	22	,	,	PUNCT
ap-965	480	23	�	�	PROPN
ap-965	480	24	a	a	PRON
ap-965	480	25	,	,	PUNCT
ap-965	480	26	b	b	NUM
ap-965	480	27	cases	case	NOUN
ap-965	480	28	of	of	ADP
ap-965	480	29	n	n	X
ap-965	480	30	�	�	PROPN
ap-965	480	31	5	5	NUM
ap-965	480	32	6	6	NUM
ap-965	480	33	,	,	PUNCT
ap-965	480	34	are	be	AUX
ap-965	480	35	specified	specify	VERB
ap-965	480	36	)	)	PUNCT
ap-965	481	1	©	©	PROPN
ap-965	481	2	czech	czech	PROPN
ap-965	481	3	technical	technical	PROPN
ap-965	481	4	university	university	PROPN
ap-965	481	5	publishing	publishing	NOUN
ap-965	481	6	house	house	NOUN
ap-965	481	7	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	481	8	69	69	NUM
ap-965	481	9	acta	acta	PROPN
ap-965	481	10	polytechnica	polytechnica	PROPN
ap-965	481	11	vol	vol	NOUN
ap-965	481	12	.	.	PUNCT
ap-965	482	1	48	48	NUM
ap-965	482	2	no	no	NOUN
ap-965	482	3	.	.	PUNCT
ap-965	483	1	2/2008	2/2008	NUM
ap-965	484	1	it	it	PRON
ap-965	484	2	is	be	AUX
ap-965	484	3	useful	useful	ADJ
ap-965	484	4	to	to	PART
ap-965	484	5	explicitly	explicitly	ADV
ap-965	484	6	present	present	ADJ
ap-965	484	7	,	,	PUNCT
ap-965	484	8	in	in	ADP
ap-965	484	9	at	at	ADV
ap-965	484	10	least	least	ADV
ap-965	484	11	one	one	NUM
ap-965	484	12	pair	pair	NOUN
ap-965	484	13	of	of	ADP
ap-965	484	14	examples	example	NOUN
ap-965	484	15	,	,	PUNCT
ap-965	484	16	the	the	DET
ap-965	484	17	supersymmetry	supersymmetry	NOUN
ap-965	484	18	transformations	transformation	NOUN
ap-965	484	19	(	(	PUNCT
ap-965	484	20	depending	depend	VERB
ap-965	484	21	on	on	ADP
ap-965	484	22	the	the	DET
ap-965	484	23	�	�	NOUN
ap-965	484	24	i	i	PROPN
ap-965	484	25	global	global	ADJ
ap-965	484	26	fermionic	fermionic	NOUN
ap-965	484	27	parameters	parameter	NOUN
ap-965	484	28	)	)	PUNCT
ap-965	484	29	for	for	ADP
ap-965	484	30	multiplets	multiplet	NOUN
ap-965	484	31	admitting	admit	VERB
ap-965	484	32	different	different	ADJ
ap-965	484	33	connectivities	connectivity	NOUN
ap-965	484	34	and	and	CCONJ
ap-965	484	35	the	the	DET
ap-965	484	36	same	same	ADJ
ap-965	484	37	field	field	NOUN
ap-965	484	38	content	content	NOUN
ap-965	484	39	.	.	PUNCT
ap-965	485	1	we	we	PRON
ap-965	485	2	write	write	VERB
ap-965	485	3	below	below	ADP
ap-965	485	4	a	a	DET
ap-965	485	5	pair	pair	NOUN
ap-965	485	6	of	of	ADP
ap-965	485	7	n	n	PRON
ap-965	485	8	�	�	PROPN
ap-965	485	9	5	5	NUM
ap-965	485	10	irreps	irrep	NOUN
ap-965	485	11	(	(	PUNCT
ap-965	485	12	the	the	DET
ap-965	485	13	(	(	PUNCT
ap-965	485	14	4	4	NUM
ap-965	485	15	,	,	PUNCT
ap-965	485	16	8	8	NUM
ap-965	485	17	,	,	PUNCT
ap-965	485	18	4)a	4)a	NUM
ap-965	485	19	and	and	CCONJ
ap-965	485	20	the	the	DET
ap-965	485	21	(	(	PUNCT
ap-965	485	22	4	4	NUM
ap-965	485	23	,	,	PUNCT
ap-965	485	24	8	8	NUM
ap-965	485	25	,	,	PUNCT
ap-965	485	26	4)b	4)b	NUM
ap-965	485	27	multiplets	multiplet	NOUN
ap-965	485	28	)	)	PUNCT
ap-965	485	29	differing	differ	VERB
ap-965	485	30	by	by	ADP
ap-965	485	31	connectivity	connectivity	NOUN
ap-965	485	32	.	.	PUNCT
ap-965	486	1	it	it	PRON
ap-965	486	2	is	be	AUX
ap-965	486	3	also	also	ADV
ap-965	486	4	convenient	convenient	ADJ
ap-965	486	5	to	to	PART
ap-965	486	6	visualize	visualize	VERB
ap-965	486	7	them	they	PRON
ap-965	486	8	graphically	graphically	ADV
ap-965	486	9	.	.	PUNCT
ap-965	487	1	the	the	DET
ap-965	487	2	graphical	graphical	ADJ
ap-965	487	3	presentation	presentation	NOUN
ap-965	487	4	at	at	ADP
ap-965	487	5	the	the	DET
ap-965	487	6	end	end	NOUN
ap-965	487	7	of	of	ADP
ap-965	487	8	this	this	DET
ap-965	487	9	section	section	NOUN
ap-965	487	10	is	be	AUX
ap-965	487	11	given	give	VERB
ap-965	487	12	as	as	SCONJ
ap-965	487	13	follows	follow	VERB
ap-965	487	14	.	.	PUNCT
ap-965	488	1	three	three	NUM
ap-965	488	2	rows	row	NOUN
ap-965	488	3	of	of	ADP
ap-965	488	4	(	(	PUNCT
ap-965	488	5	from	from	ADP
ap-965	488	6	bottom	bottom	NOUN
ap-965	488	7	to	to	ADP
ap-965	488	8	up	up	ADP
ap-965	488	9	)	)	PUNCT
ap-965	488	10	4	4	NUM
ap-965	488	11	,	,	PUNCT
ap-965	488	12	8	8	NUM
ap-965	488	13	and	and	CCONJ
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ap-965	489	4	represented	represent	VERB
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ap-965	490	5	to	to	ADP
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ap-965	490	7	with	with	ADP
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ap-965	490	17	with	with	ADP
ap-965	490	18	a	a	DET
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ap-965	491	14	�	�	PROPN
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ap-965	491	20	lines	line	NOUN
ap-965	491	21	connecting	connect	VERB
ap-965	491	22	them	they	PRON
ap-965	491	23	to	to	ADP
ap-965	491	24	the	the	DET
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ap-965	491	42	the	the	DET
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ap-965	555	2	i	i	PRON
ap-965	556	1	i	i	PRON
ap-965	557	1	i	i	PRON
ap-965	557	2	g	g	VERB
ap-965	558	1	i	i	PRON
ap-965	559	1	i	i	PRON
ap-965	560	1	i	i	PRON
ap-965	560	2	�	�	PROPN
ap-965	560	3	�	�	PROPN
ap-965	560	4	�	�	PROPN
ap-965	560	5	�	�	PROPN
ap-965	560	6	�	�	PROPN
ap-965	560	7	�	�	PROPN
ap-965	560	8	�	�	PROPN
ap-965	560	9	�	�	PROPN
ap-965	560	10	�	�	PROPN
ap-965	560	11	�	�	PROPN
ap-965	560	12	�	�	PROPN
ap-965	560	13	�	�	PROPN
ap-965	560	14	�	�	PROPN
ap-965	560	15	4	4	NUM
ap-965	560	16	2	2	NUM
ap-965	560	17	1	1	NUM
ap-965	560	18	4	4	NUM
ap-965	560	19	5	5	NUM
ap-965	560	20	5	5	NUM
ap-965	560	21	2	2	NUM
ap-965	560	22	8	8	NUM
ap-965	560	23	3	3	NUM
ap-965	560	24	1	1	NUM
ap-965	560	25	1	1	NUM
ap-965	560	26	4	4	NUM
ap-965	560	27	3	3	NUM
ap-965	560	28	3	3	NUM
ap-965	560	29	�	�	PROPN
ap-965	560	30	�	�	PROPN
ap-965	560	31	�	�	PROPN
ap-965	560	32	�	�	PROPN
ap-965	560	33	�	�	PROPN
ap-965	560	34	�	�	PROPN
ap-965	560	35	�	�	PROPN
ap-965	560	36	�	�	PROPN
ap-965	560	37	�	�	PROPN
ap-965	560	38	�	�	PROPN
ap-965	560	39	�	�	PROPN
ap-965	560	40	�	�	PROPN
ap-965	560	41	�	�	PROPN
ap-965	560	42	�	�	PROPN
ap-965	560	43	�	�	PROPN
ap-965	560	44	�	�	PROPN
ap-965	560	45	�	�	PROPN
ap-965	560	46	�	�	PROPN
ap-965	560	47	�	�	PROPN
ap-965	560	48	�	�	PROPN
ap-965	560	49	�	�	PROPN
ap-965	560	50	�	�	PROPN
ap-965	560	51	�	�	PROPN
ap-965	560	52	�	�	PROPN
ap-965	560	53	�	�	PROPN
ap-965	560	54	�	�	PROPN
ap-965	560	55	4	4	NUM
ap-965	560	56	2	2	NUM
ap-965	560	57	5	5	NUM
ap-965	560	58	5	5	NUM
ap-965	560	59	8	8	NUM
ap-965	560	60	4	4	NUM
ap-965	560	61	1	1	NUM
ap-965	560	62	2	2	NUM
ap-965	560	63	3	3	NUM
ap-965	560	64	3	3	NUM
ap-965	560	65	4	4	NUM
ap-965	560	66	4	4	NUM
ap-965	560	67	2	2	NUM
ap-965	560	68	6	6	NUM
ap-965	560	69	�	�	PROPN
ap-965	560	70	�	�	PROPN
ap-965	560	71	�	�	PROPN
ap-965	560	72	�	�	PROPN
ap-965	560	73	�	�	PROPN
ap-965	560	74	�	�	PROPN
ap-965	560	75	�	�	PROPN
ap-965	560	76	�	�	PROPN
ap-965	561	1	i	i	PRON
ap-965	561	2	i	i	PRON
ap-965	562	1	g	g	VERB
ap-965	563	1	i	i	PRON
ap-965	564	1	i	i	PRON
ap-965	565	1	i	i	PRON
ap-965	566	1	i	i	PRON
ap-965	567	1	i	i	PROPN
ap-965	567	2	�	�	PROPN
ap-965	567	3	�	�	PROPN
ap-965	567	4	5	5	NUM
ap-965	567	5	7	7	NUM
ap-965	567	6	�	�	PROPN
ap-965	567	7	10	10	NUM
ap-965	567	8	tensoring	tensore	VERB
ap-965	567	9	irreducible	irreducible	ADJ
ap-965	567	10	representations	representation	NOUN
ap-965	567	11	:	:	PUNCT
ap-965	567	12	their	their	PRON
ap-965	567	13	fusion	fusion	NOUN
ap-965	567	14	algebras	algebra	NOUN
ap-965	567	15	and	and	CCONJ
ap-965	567	16	the	the	DET
ap-965	567	17	associated	associated	ADJ
ap-965	567	18	graphs	graph	VERB
ap-965	567	19	the	the	DET
ap-965	567	20	tensor	tensor	NOUN
ap-965	567	21	product	product	NOUN
ap-965	567	22	of	of	ADP
ap-965	567	23	linear	linear	PROPN
ap-965	567	24	irreducible	irreducible	ADJ
ap-965	567	25	representations	representation	NOUN
ap-965	567	26	can	can	AUX
ap-965	567	27	be	be	AUX
ap-965	567	28	decomposed	decompose	VERB
ap-965	567	29	into	into	ADP
ap-965	567	30	their	their	PRON
ap-965	567	31	irreducible	irreducible	ADJ
ap-965	567	32	constituents	constituent	NOUN
ap-965	567	33	.	.	PUNCT
ap-965	568	1	this	this	DET
ap-965	568	2	decomposition	decomposition	NOUN
ap-965	568	3	contains	contain	VERB
ap-965	568	4	useful	useful	ADJ
ap-965	568	5	information	information	NOUN
ap-965	568	6	in	in	ADP
ap-965	568	7	the	the	DET
ap-965	568	8	construction	construction	NOUN
ap-965	568	9	of	of	ADP
ap-965	568	10	bilinear	bilinear	NOUN
ap-965	568	11	(	(	PUNCT
ap-965	568	12	in	in	ADP
ap-965	568	13	general	general	ADJ
ap-965	568	14	,	,	PUNCT
ap-965	568	15	multilinear	multilinear	ADJ
ap-965	568	16	)	)	PUNCT
ap-965	568	17	terms	term	NOUN
ap-965	568	18	entering	enter	VERB
ap-965	568	19	a	a	DET
ap-965	568	20	supersymmetric	supersymmetric	ADJ
ap-965	568	21	invariant	invariant	ADJ
ap-965	568	22	action	action	NOUN
ap-965	568	23	.	.	PUNCT
ap-965	569	1	we	we	PRON
ap-965	569	2	recall	recall	VERB
ap-965	569	3	that	that	SCONJ
ap-965	569	4	the	the	DET
ap-965	569	5	auxiliary	auxiliary	ADJ
ap-965	569	6	fields	field	NOUN
ap-965	569	7	in	in	ADP
ap-965	569	8	a	a	DET
ap-965	569	9	given	give	VERB
ap-965	569	10	representation	representation	NOUN
ap-965	569	11	transform	transform	NOUN
ap-965	569	12	as	as	ADP
ap-965	569	13	a	a	DET
ap-965	569	14	total	total	ADJ
ap-965	569	15	derivative	derivative	NOUN
ap-965	569	16	(	(	PUNCT
ap-965	569	17	a	a	DET
ap-965	569	18	time	time	NOUN
ap-965	569	19	derivative	derivative	NOUN
ap-965	569	20	in	in	ADP
ap-965	569	21	one	one	NUM
ap-965	569	22	dimension	dimension	NOUN
ap-965	569	23	)	)	PUNCT
ap-965	569	24	.	.	PUNCT
ap-965	570	1	useful	useful	ADJ
ap-965	570	2	information	information	NOUN
ap-965	570	3	concerning	concern	VERB
ap-965	570	4	the	the	DET
ap-965	570	5	decomposition	decomposition	NOUN
ap-965	570	6	of	of	ADP
ap-965	570	7	the	the	DET
ap-965	570	8	tensor	tensor	NOUN
ap-965	570	9	products	product	NOUN
ap-965	570	10	of	of	ADP
ap-965	570	11	the	the	DET
ap-965	570	12	irreducible	irreducible	ADJ
ap-965	570	13	representations	representation	NOUN
ap-965	570	14	can	can	AUX
ap-965	570	15	be	be	AUX
ap-965	570	16	encoded	encode	VERB
ap-965	570	17	in	in	ADP
ap-965	570	18	the	the	DET
ap-965	570	19	so	so	ADV
ap-965	570	20	-	-	PUNCT
ap-965	570	21	called	call	VERB
ap-965	570	22	fusion	fusion	NOUN
ap-965	570	23	algebra	algebra	NOUN
ap-965	570	24	of	of	ADP
ap-965	570	25	the	the	DET
ap-965	570	26	irreps	irrep	NOUN
ap-965	570	27	and	and	CCONJ
ap-965	570	28	their	their	PRON
ap-965	570	29	supersymmetric	supersymmetric	ADJ
ap-965	570	30	vacua	vacuum	NOUN
ap-965	570	31	.	.	PUNCT
ap-965	571	1	the	the	DET
ap-965	571	2	notion	notion	NOUN
ap-965	571	3	of	of	ADP
ap-965	571	4	a	a	DET
ap-965	571	5	fusion	fusion	NOUN
ap-965	571	6	algebra	algebra	NOUN
ap-965	571	7	of	of	ADP
ap-965	571	8	the	the	DET
ap-965	571	9	supersymmetric	supersymmetric	ADJ
ap-965	571	10	vacua	vacuum	NOUN
ap-965	571	11	of	of	ADP
ap-965	571	12	the	the	DET
ap-965	571	13	n	n	ADV
ap-965	571	14	-	-	PUNCT
ap-965	571	15	extended	extend	VERB
ap-965	571	16	one	one	NUM
ap-965	571	17	dimensional	dimensional	ADJ
ap-965	571	18	supersymmetry	supersymmetry	NOUN
ap-965	571	19	,	,	PUNCT
ap-965	571	20	introduced	introduce	VERB
ap-965	571	21	in	in	ADP
ap-965	571	22	[	[	X
ap-965	571	23	14	14	NUM
ap-965	571	24	]	]	PUNCT
ap-965	571	25	,	,	PUNCT
ap-965	571	26	is	be	AUX
ap-965	571	27	constructed	construct	VERB
ap-965	571	28	by	by	ADP
ap-965	571	29	analogy	analogy	NOUN
ap-965	571	30	with	with	ADP
ap-965	571	31	the	the	DET
ap-965	571	32	fusion	fusion	NOUN
ap-965	571	33	algebra	algebra	NOUN
ap-965	571	34	for	for	ADP
ap-965	571	35	rational	rational	ADJ
ap-965	571	36	conformal	conformal	ADJ
ap-965	571	37	field	field	NOUN
ap-965	571	38	theories	theory	NOUN
ap-965	571	39	.	.	PUNCT
ap-965	572	1	fusion	fusion	NOUN
ap-965	572	2	algebras	algebra	NOUN
ap-965	572	3	can	can	AUX
ap-965	572	4	also	also	ADV
ap-965	572	5	be	be	AUX
ap-965	572	6	nicely	nicely	ADV
ap-965	572	7	presented	present	VERB
ap-965	572	8	in	in	ADP
ap-965	572	9	terms	term	NOUN
ap-965	572	10	of	of	ADP
ap-965	572	11	their	their	PRON
ap-965	572	12	associated	associated	ADJ
ap-965	572	13	graphs	graph	NOUN
ap-965	572	14	.	.	PUNCT
ap-965	573	1	we	we	PRON
ap-965	573	2	explicitly	explicitly	ADV
ap-965	573	3	present	present	VERB
ap-965	573	4	here	here	ADV
ap-965	573	5	the	the	DET
ap-965	573	6	n	n	PROPN
ap-965	573	7	�	�	PROPN
ap-965	573	8	1	1	NUM
ap-965	573	9	and	and	CCONJ
ap-965	573	10	n	n	PRON
ap-965	573	11	�	�	NOUN
ap-965	573	12	2	2	NUM
ap-965	573	13	fusion	fusion	NOUN
ap-965	573	14	graphs	graph	NOUN
ap-965	573	15	(	(	PUNCT
ap-965	573	16	with	with	ADP
ap-965	573	17	two	two	NUM
ap-965	573	18	subcases	subcase	NOUN
ap-965	573	19	for	for	ADP
ap-965	573	20	each	each	DET
ap-965	573	21	n	n	NOUN
ap-965	573	22	,	,	PUNCT
ap-965	573	23	according	accord	VERB
ap-965	573	24	to	to	ADP
ap-965	573	25	whether	whether	SCONJ
ap-965	573	26	or	or	CCONJ
ap-965	573	27	not	not	PART
ap-965	573	28	the	the	DET
ap-965	573	29	irreps	irrep	NOUN
ap-965	573	30	are	be	AUX
ap-965	573	31	distinguished	distinguish	VERB
ap-965	573	32	w.r.t	w.r.t	NOUN
ap-965	573	33	.	.	PUNCT
ap-965	574	1	their	their	PRON
ap-965	574	2	bosonic	bosonic	NOUN
ap-965	574	3	/	/	SYM
ap-965	574	4	fermionic	fermionic	NOUN
ap-965	574	5	statistics	statistic	NOUN
ap-965	574	6	)	)	PUNCT
ap-965	574	7	.	.	PUNCT
ap-965	575	1	let	let	VERB
ap-965	575	2	us	we	PRON
ap-965	575	3	discuss	discuss	VERB
ap-965	575	4	here	here	ADV
ap-965	575	5	how	how	SCONJ
ap-965	575	6	to	to	PART
ap-965	575	7	present	present	VERB
ap-965	575	8	the	the	DET
ap-965	575	9	[	[	NOUN
ap-965	575	10	14	14	NUM
ap-965	575	11	]	]	PUNCT
ap-965	575	12	results	result	NOUN
ap-965	575	13	in	in	ADP
ap-965	575	14	graphical	graphical	ADJ
ap-965	575	15	form	form	NOUN
ap-965	575	16	.	.	PUNCT
ap-965	576	1	the	the	DET
ap-965	576	2	irreps	irrep	NOUN
ap-965	576	3	correspond	correspond	PROPN
ap-965	576	4	to	to	ADP
ap-965	576	5	points	point	NOUN
ap-965	576	6	.	.	PUNCT
ap-965	577	1	nij	nij	PROPN
ap-965	577	2	k	k	PROPN
ap-965	577	3	oriented	orient	VERB
ap-965	577	4	lines	line	NOUN
ap-965	577	5	(	(	PUNCT
ap-965	577	6	with	with	ADP
ap-965	577	7	arrows	arrow	NOUN
ap-965	577	8	)	)	PUNCT
ap-965	577	9	connect	connect	VERB
ap-965	577	10	the	the	DET
ap-965	577	11	[	[	X
ap-965	577	12	j	j	X
ap-965	577	13	]	]	X
ap-965	577	14	and	and	CCONJ
ap-965	577	15	the	the	DET
ap-965	577	16	[	[	X
ap-965	577	17	k	k	X
ap-965	577	18	]	]	X
ap-965	577	19	irrep	irrep	NOUN
ap-965	577	20	if	if	SCONJ
ap-965	577	21	the	the	DET
ap-965	577	22	decomposition	decomposition	NOUN
ap-965	577	23	[	[	PUNCT
ap-965	577	24	]	]	X
ap-965	577	25	[	[	PUNCT
ap-965	577	26	]	]	X
ap-965	577	27	[	[	PUNCT
ap-965	577	28	]	]	X
ap-965	577	29	i	i	PRON
ap-965	577	30	j	j	PROPN
ap-965	577	31	n	n	CCONJ
ap-965	577	32	kij	kij	PROPN
ap-965	577	33	k	k	PROPN
ap-965	577	34	�	�	PROPN
ap-965	577	35	�	�	PROPN
ap-965	577	36	holds	hold	VERB
ap-965	577	37	.	.	PUNCT
ap-965	578	1	the	the	DET
ap-965	578	2	arrows	arrow	NOUN
ap-965	578	3	are	be	AUX
ap-965	578	4	dropped	drop	VERB
ap-965	578	5	from	from	ADP
ap-965	578	6	the	the	DET
ap-965	578	7	lines	line	NOUN
ap-965	578	8	if	if	SCONJ
ap-965	578	9	the	the	DET
ap-965	578	10	[	[	X
ap-965	578	11	j	j	X
ap-965	578	12	]	]	X
ap-965	578	13	and	and	CCONJ
ap-965	578	14	[	[	X
ap-965	578	15	k	k	X
ap-965	578	16	]	]	X
ap-965	578	17	irreps	irrep	NOUN
ap-965	578	18	can	can	AUX
ap-965	578	19	be	be	AUX
ap-965	578	20	interchanged	interchange	VERB
ap-965	578	21	.	.	PUNCT
ap-965	579	1	the	the	DET
ap-965	579	2	[	[	X
ap-965	579	3	i	i	X
ap-965	579	4	]	]	X
ap-965	579	5	irrep	irrep	NOUN
ap-965	579	6	should	should	AUX
ap-965	579	7	correspond	correspond	VERB
ap-965	579	8	to	to	ADP
ap-965	579	9	a	a	DET
ap-965	579	10	generator	generator	NOUN
ap-965	579	11	of	of	ADP
ap-965	579	12	the	the	DET
ap-965	579	13	fusion	fusion	NOUN
ap-965	579	14	algebra	algebra	NOUN
ap-965	579	15	.	.	PUNCT
ap-965	580	1	this	this	PRON
ap-965	580	2	means	mean	VERB
ap-965	580	3	that	that	SCONJ
ap-965	580	4	the	the	DET
ap-965	580	5	whole	whole	ADJ
ap-965	580	6	set	set	NOUN
ap-965	580	7	of	of	ADP
ap-965	580	8	n	n	PRON
ap-965	580	9	nl	nl	PROPN
ap-965	580	10	lj	lj	PROPN
ap-965	580	11	k	k	PROPN
ap-965	580	12	�	�	PROPN
ap-965	580	13	fusion	fusion	NOUN
ap-965	580	14	matrices	matrix	NOUN
ap-965	580	15	is	be	AUX
ap-965	580	16	produced	produce	VERB
ap-965	580	17	as	as	ADP
ap-965	580	18	the	the	DET
ap-965	580	19	sum	sum	NOUN
ap-965	580	20	of	of	ADP
ap-965	580	21	powers	power	NOUN
ap-965	580	22	of	of	ADP
ap-965	580	23	the	the	PRON
ap-965	580	24	n	n	PROPN
ap-965	580	25	ni	ni	PROPN
ap-965	580	26	ij	ij	PROPN
ap-965	580	27	k	k	PROPN
ap-965	580	28	�	�	PROPN
ap-965	580	29	fusion	fusion	NOUN
ap-965	580	30	matrix	matrix	NOUN
ap-965	580	31	.	.	PUNCT
ap-965	581	1	let	let	VERB
ap-965	581	2	us	we	PRON
ap-965	581	3	discuss	discuss	VERB
ap-965	581	4	explicitly	explicitly	ADV
ap-965	581	5	the	the	DET
ap-965	581	6	n	n	PROPN
ap-965	581	7	�	�	NOUN
ap-965	581	8	2	2	NUM
ap-965	581	9	case	case	NOUN
ap-965	581	10	.	.	PUNCT
ap-965	582	1	we	we	PRON
ap-965	582	2	obtain	obtain	VERB
ap-965	582	3	the	the	DET
ap-965	582	4	following	follow	VERB
ap-965	582	5	list	list	NOUN
ap-965	582	6	of	of	ADP
ap-965	582	7	four	four	NUM
ap-965	582	8	irreps	irrep	NOUN
ap-965	582	9	(	(	PUNCT
ap-965	582	10	if	if	SCONJ
ap-965	582	11	we	we	PRON
ap-965	582	12	discriminate	discriminate	VERB
ap-965	582	13	their	their	PRON
ap-965	582	14	statistics	statistic	NOUN
ap-965	582	15	):	):	PUNCT
ap-965	582	16	[	[	PUNCT
ap-965	582	17	]	]	X
ap-965	582	18	(	(	PUNCT
ap-965	582	19	,	,	PUNCT
ap-965	582	20	)	)	PUNCT
ap-965	582	21	;	;	PUNCT
ap-965	582	22	[	[	PUNCT
ap-965	582	23	]	]	X
ap-965	582	24	(	(	PUNCT
ap-965	582	25	,	,	PUNCT
ap-965	582	26	,	,	PUNCT
ap-965	582	27	)	)	PUNCT
ap-965	582	28	;	;	PUNCT
ap-965	582	29	[	[	PUNCT
ap-965	582	30	]	]	X
ap-965	582	31	(	(	PUNCT
ap-965	582	32	,	,	PUNCT
ap-965	582	33	)	)	PUNCT
ap-965	582	34	;	;	PUNCT
ap-965	582	35	[	[	PUNCT
ap-965	582	36	]	]	X
ap-965	582	37	(	(	PUNCT
ap-965	582	38	,	,	PUNCT
ap-965	582	39	,	,	PUNCT
ap-965	582	40	1	1	NUM
ap-965	582	41	2	2	NUM
ap-965	582	42	2	2	NUM
ap-965	582	43	2	2	NUM
ap-965	582	44	1	1	NUM
ap-965	582	45	2	2	NUM
ap-965	582	46	1	1	NUM
ap-965	582	47	3	3	NUM
ap-965	582	48	2	2	NUM
ap-965	582	49	2	2	NUM
ap-965	582	50	4	4	NUM
ap-965	582	51	1	1	NUM
ap-965	582	52	2	2	NUM
ap-965	582	53	�	�	PROPN
ap-965	582	54	�	�	PROPN
ap-965	582	55	�	�	PROPN
ap-965	582	56	�	�	PROPN
ap-965	582	57	bos	bos	PROPN
ap-965	582	58	bos	bos	PROPN
ap-965	582	59	fer	fer	PROPN
ap-965	582	60	1)fer	1)fer	NUM
ap-965	582	61	(	(	PUNCT
ap-965	582	62	10.71	10.71	NUM
ap-965	582	63	)	)	PUNCT
ap-965	582	64	the	the	DET
ap-965	582	65	corresponding	correspond	VERB
ap-965	582	66	n	n	CCONJ
ap-965	582	67	�	�	NOUN
ap-965	582	68	2	2	NUM
ap-965	582	69	fusion	fusion	NOUN
ap-965	582	70	algebra	algebra	NOUN
ap-965	582	71	is	be	AUX
ap-965	582	72	realized	realize	VERB
ap-965	582	73	in	in	ADP
ap-965	582	74	terms	term	NOUN
ap-965	582	75	of	of	ADP
ap-965	582	76	four	four	NUM
ap-965	582	77	4×4	4×4	NUM
ap-965	582	78	,	,	PUNCT
ap-965	582	79	mutually	mutually	ADV
ap-965	582	80	commuting	commuting	NOUN
ap-965	582	81	,	,	PUNCT
ap-965	582	82	matrices	matrix	NOUN
ap-965	582	83	given	give	VERB
ap-965	582	84	by	by	ADP
ap-965	582	85	n	n	PROPN
ap-965	582	86	x	x	PROPN
ap-965	582	87	n	n	CCONJ
ap-965	582	88	n	n	ADV
ap-965	582	89	1	1	NUM
ap-965	582	90	2	2	NUM
ap-965	582	91	4	4	NUM
ap-965	582	92	1	1	NUM
ap-965	582	93	2	2	NUM
ap-965	582	94	1	1	NUM
ap-965	582	95	0	0	NUM
ap-965	582	96	0	0	NUM
ap-965	582	97	2	2	NUM
ap-965	582	98	0	0	NUM
ap-965	582	99	2	2	NUM
ap-965	582	100	1	1	NUM
ap-965	582	101	0	0	NUM
ap-965	582	102	1	1	NUM
ap-965	582	103	2	2	NUM
ap-965	582	104	0	0	NUM
ap-965	582	105	2	2	NUM
ap-965	582	106	0	0	NUM
ap-965	582	107	2	2	NUM
ap-965	582	108	0	0	NUM
ap-965	582	109	2	2	NUM
ap-965	582	110	0	0	NUM
ap-965	582	111	2	2	NUM
ap-965	582	112	0	0	NUM
ap-965	582	113	2	2	NUM
ap-965	582	114	0	0	NUM
ap-965	582	115	2	2	NUM
ap-965	582	116	0	0	NUM
ap-965	582	117	2	2	NUM
ap-965	582	118	�	�	PROPN
ap-965	582	119	�	�	PROPN
ap-965	582	120	�	�	PROPN
ap-965	582	121	�	�	PROPN
ap-965	582	122	�	�	PROPN
ap-965	582	123	�	�	PROPN
ap-965	582	124	�	�	PROPN
ap-965	582	125	�	�	PROPN
ap-965	582	126	�	�	PROPN
ap-965	582	127	�	�	PROPN
ap-965	582	128	�	�	PROPN
ap-965	582	129	;	;	PUNCT
ap-965	582	130	0	0	NUM
ap-965	582	131	2	2	NUM
ap-965	582	132	0	0	NUM
ap-965	582	133	2	2	NUM
ap-965	582	134	0	0	NUM
ap-965	582	135	2	2	NUM
ap-965	582	136	1	1	NUM
ap-965	582	137	0	0	NUM
ap-965	582	138	1	1	NUM
ap-965	582	139	2	2	NUM
ap-965	582	140	0	0	NUM
ap-965	582	141	2	2	NUM
ap-965	582	142	0	0	NUM
ap-965	582	143	2	2	NUM
ap-965	582	144	1	1	NUM
ap-965	582	145	2	2	NUM
ap-965	582	146	1	1	NUM
ap-965	582	147	0	0	NUM
ap-965	582	148	0	0	NUM
ap-965	582	149	2	2	NUM
ap-965	582	150	0	0	NUM
ap-965	582	151	2	2	NUM
ap-965	582	152	3	3	NUM
ap-965	582	153	�	�	PROPN
ap-965	582	154	�	�	PROPN
ap-965	582	155	�	�	PROPN
ap-965	582	156	�	�	PROPN
ap-965	582	157	�	�	PROPN
ap-965	582	158	�	�	PROPN
ap-965	582	159	�	�	PROPN
ap-965	582	160	�	�	PROPN
ap-965	582	161	�	�	PROPN
ap-965	582	162	�	�	PROPN
ap-965	582	163	�	�	PROPN
ap-965	582	164	�	�	PROPN
ap-965	582	165	�	�	PROPN
ap-965	582	166	�	�	PROPN
ap-965	582	167	y	y	PROPN
ap-965	582	168	n	n	PROPN
ap-965	582	169	;	;	PUNCT
ap-965	582	170	�	�	PROPN
ap-965	582	171	�	�	PROPN
ap-965	582	172	�	�	PROPN
ap-965	582	173	z.	z.	PROPN
ap-965	582	174	(	(	PUNCT
ap-965	582	175	10.72	10.72	NUM
ap-965	582	176	)	)	PUNCT
ap-965	582	177	the	the	DET
ap-965	582	178	fusion	fusion	NOUN
ap-965	582	179	algebra	algebra	NOUN
ap-965	582	180	admits	admit	VERB
ap-965	582	181	three	three	NUM
ap-965	582	182	distinct	distinct	ADJ
ap-965	582	183	elements	element	NOUN
ap-965	582	184	,	,	PUNCT
ap-965	582	185	x	x	X
ap-965	582	186	,	,	PUNCT
ap-965	582	187	y	y	PROPN
ap-965	582	188	,	,	PUNCT
ap-965	582	189	z	z	NOUN
ap-965	582	190	and	and	CCONJ
ap-965	582	191	one	one	NUM
ap-965	582	192	generator	generator	NOUN
ap-965	582	193	(	(	PUNCT
ap-965	582	194	we	we	PRON
ap-965	582	195	can	can	AUX
ap-965	582	196	choose	choose	VERB
ap-965	582	197	either	either	CCONJ
ap-965	582	198	x	x	SYM
ap-965	582	199	or	or	CCONJ
ap-965	582	200	z	z	NOUN
ap-965	582	201	)	)	PUNCT
ap-965	582	202	,	,	PUNCT
ap-965	582	203	due	due	ADP
ap-965	582	204	to	to	ADP
ap-965	582	205	the	the	DET
ap-965	582	206	relations	relation	NOUN
ap-965	582	207	y	y	NOUN
ap-965	582	208	x	x	PUNCT
ap-965	582	209	x	x	PUNCT
ap-965	582	210	z	z	NOUN
ap-965	582	211	x	x	SYM
ap-965	582	212	x	x	SYM
ap-965	582	213	x	x	PRON
ap-965	582	214	�	�	PROPN
ap-965	582	215	�	�	PROPN
ap-965	582	216	�	�	PROPN
ap-965	582	217	�	�	PROPN
ap-965	582	218	�	�	PROPN
ap-965	582	219	�	�	PROPN
ap-965	582	220	1	1	NUM
ap-965	582	221	8	8	NUM
ap-965	582	222	2	2	NUM
ap-965	582	223	1	1	NUM
ap-965	582	224	4	4	NUM
ap-965	582	225	6	6	NUM
ap-965	582	226	43	43	NUM
ap-965	582	227	3	3	NUM
ap-965	582	228	2	2	NUM
ap-965	582	229	(	(	PUNCT
ap-965	582	230	)	)	PUNCT
ap-965	582	231	,	,	PUNCT
ap-965	582	232	(	(	PUNCT
ap-965	582	233	)	)	PUNCT
ap-965	582	234	.	.	PUNCT
ap-965	583	1	(	(	PUNCT
ap-965	583	2	10.73	10.73	NUM
ap-965	583	3	)	)	PUNCT
ap-965	583	4	the	the	DET
ap-965	583	5	vector	vector	NOUN
ap-965	583	6	space	space	NOUN
ap-965	583	7	spanned	span	VERB
ap-965	583	8	by	by	ADP
ap-965	583	9	x	x	PROPN
ap-965	583	10	,	,	PUNCT
ap-965	583	11	y	y	PROPN
ap-965	583	12	,	,	PUNCT
ap-965	583	13	z	z	PROPN
ap-965	583	14	is	be	AUX
ap-965	583	15	closed	close	VERB
ap-965	583	16	under	under	ADP
ap-965	583	17	multiplication	multiplication	NOUN
ap-965	583	18	x	x	X
ap-965	584	1	z	z	NOUN
ap-965	584	2	zx	zx	NUM
ap-965	585	1	x	x	SYM
ap-965	585	2	y	y	NOUN
ap-965	585	3	z	z	NOUN
ap-965	585	4	xy	xy	PROPN
ap-965	586	1	y	y	PROPN
ap-965	586	2	yz	yz	PROPN
ap-965	586	3	y	y	PROPN
ap-965	586	4	2	2	NUM
ap-965	586	5	2	2	NUM
ap-965	586	6	2	2	NUM
ap-965	586	7	2	2	NUM
ap-965	586	8	4	4	NUM
ap-965	586	9	�	�	PROPN
ap-965	586	10	�	�	PROPN
ap-965	586	11	�	�	PROPN
ap-965	586	12	�	�	PROPN
ap-965	586	13	�	�	PROPN
ap-965	586	14	�	�	PROPN
ap-965	586	15	�	�	PROPN
ap-965	586	16	�	�	PROPN
ap-965	586	17	,	,	PUNCT
ap-965	586	18	(	(	PUNCT
ap-965	586	19	10.74	10.74	NUM
ap-965	586	20	)	)	PUNCT
ap-965	586	21	this	this	DET
ap-965	586	22	fusion	fusion	NOUN
ap-965	586	23	algebra	algebra	NOUN
ap-965	586	24	corresponds	correspond	VERB
ap-965	586	25	to	to	ADP
ap-965	586	26	the	the	DET
ap-965	586	27	“	"	PUNCT
ap-965	586	28	smiling	smile	VERB
ap-965	586	29	face	face	NOUN
ap-965	586	30	”	"	PUNCT
ap-965	586	31	graph	graph	NOUN
ap-965	586	32	below	below	ADV
ap-965	586	33	.	.	PUNCT
ap-965	587	1	we	we	PRON
ap-965	587	2	obtain	obtain	VERB
ap-965	587	3	the	the	DET
ap-965	587	4	following	follow	VERB
ap-965	587	5	four	four	NUM
ap-965	587	6	tables	table	NOUN
ap-965	587	7	for	for	ADP
ap-965	587	8	the	the	DET
ap-965	587	9	fusion	fusion	NOUN
ap-965	587	10	graphs	graph	NOUN
ap-965	587	11	of	of	ADP
ap-965	587	12	the	the	DET
ap-965	587	13	n	n	PROPN
ap-965	587	14	�	�	PROPN
ap-965	587	15	1and	1and	NUM
ap-965	587	16	n	n	PRON
ap-965	587	17	�	�	PROPN
ap-965	587	18	2	2	NUM
ap-965	587	19	supersymmetric	supersymmetric	ADJ
ap-965	587	20	quantum	quantum	ADJ
ap-965	587	21	mechanics	mechanic	NOUN
ap-965	587	22	irreps	irrep	NOUN
ap-965	587	23	.	.	PUNCT
ap-965	588	1	the	the	DET
ap-965	588	2	“	"	PUNCT
ap-965	588	3	a	a	DET
ap-965	588	4	”	"	PUNCT
ap-965	588	5	cases	case	NOUN
ap-965	588	6	below	below	ADP
ap-965	588	7	correspond	correspond	NOUN
ap-965	588	8	to	to	PART
ap-965	588	9	ignore	ignore	VERB
ap-965	588	10	the	the	DET
ap-965	588	11	statistics	statistic	NOUN
ap-965	588	12	(	(	PUNCT
ap-965	588	13	bosonic	bosonic	NOUN
ap-965	588	14	/	/	SYM
ap-965	588	15	fermionic	fermionic	NOUN
ap-965	588	16	)	)	PUNCT
ap-965	588	17	of	of	ADP
ap-965	588	18	the	the	DET
ap-965	588	19	given	give	VERB
ap-965	588	20	irreps	irrep	NOUN
ap-965	588	21	.	.	PUNCT
ap-965	589	1	in	in	ADP
ap-965	589	2	the	the	DET
ap-965	589	3	“	"	PUNCT
ap-965	589	4	b	b	NOUN
ap-965	589	5	”	"	PUNCT
ap-965	589	6	cases	case	NOUN
ap-965	589	7	,	,	PUNCT
ap-965	589	8	the	the	DET
ap-965	589	9	number	number	NOUN
ap-965	589	10	of	of	ADP
ap-965	589	11	fundamental	fundamental	ADJ
ap-965	589	12	irreps	irrep	NOUN
ap-965	589	13	is	be	AUX
ap-965	589	14	doubled	double	VERB
ap-965	589	15	w.r.t	w.r.t	NOUN
ap-965	589	16	.	.	PUNCT
ap-965	590	1	the	the	DET
ap-965	590	2	previous	previous	ADJ
ap-965	590	3	ones	one	NOUN
ap-965	590	4	,	,	PUNCT
ap-965	590	5	in	in	ADP
ap-965	590	6	order	order	NOUN
ap-965	590	7	to	to	PART
ap-965	590	8	take	take	VERB
ap-965	590	9	the	the	DET
ap-965	590	10	statistics	statistic	NOUN
ap-965	590	11	of	of	ADP
ap-965	590	12	the	the	DET
ap-965	590	13	irreps	irrep	NOUN
ap-965	590	14	into	into	ADP
ap-965	590	15	account	account	NOUN
ap-965	590	16	.	.	PUNCT
ap-965	591	1	we	we	PRON
ap-965	591	2	have	have	VERB
ap-965	591	3	©	©	PROPN
ap-965	591	4	czech	czech	PROPN
ap-965	591	5	technical	technical	PROPN
ap-965	591	6	university	university	PROPN
ap-965	591	7	publishing	publishing	NOUN
ap-965	591	8	house	house	NOUN
ap-965	591	9	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	591	10	71	71	NUM
ap-965	591	11	acta	acta	PROPN
ap-965	591	12	polytechnica	polytechnica	PROPN
ap-965	591	13	vol	vol	NOUN
ap-965	591	14	.	.	PUNCT
ap-965	592	1	48	48	NUM
ap-965	592	2	no	no	NOUN
ap-965	592	3	.	.	PUNCT
ap-965	593	1	2/2008	2/2008	NUM
ap-965	593	2	fig	fig	NOUN
ap-965	593	3	.	.	PUNCT
ap-965	594	1	2	2	NUM
ap-965	594	2	:	:	PUNCT
ap-965	594	3	graph	graph	NOUN
ap-965	594	4	of	of	ADP
ap-965	594	5	the	the	DET
ap-965	594	6	n	n	PRON
ap-965	594	7	�	�	PROPN
ap-965	594	8	5	5	NUM
ap-965	594	9	(	(	PUNCT
ap-965	594	10	4	4	NUM
ap-965	594	11	,	,	PUNCT
ap-965	594	12	8	8	NUM
ap-965	594	13	,	,	PUNCT
ap-965	594	14	4	4	X
ap-965	594	15	)	)	PUNCT
ap-965	594	16	multiplet	multiplet	NOUN
ap-965	594	17	of	of	ADP
ap-965	594	18	4	4	NUM
ap-965	594	19	43	43	NUM
ap-965	594	20	2	2	NUM
ap-965	594	21	�	�	NOUN
ap-965	594	22	connectivity	connectivity	NOUN
ap-965	594	23	(	(	PUNCT
ap-965	594	24	typeb	typeb	NOUN
ap-965	594	25	)	)	PUNCT
ap-965	594	26	11	11	NUM
ap-965	594	27	conclusions	conclusion	NOUN
ap-965	594	28	supersymmetric	supersymmetric	ADJ
ap-965	594	29	quantum	quantum	ADJ
ap-965	594	30	mechanics	mechanic	NOUN
ap-965	594	31	is	be	AUX
ap-965	594	32	a	a	DET
ap-965	594	33	fascinating	fascinating	ADJ
ap-965	594	34	subject	subject	NOUN
ap-965	594	35	with	with	ADP
ap-965	594	36	several	several	ADJ
ap-965	594	37	open	open	ADJ
ap-965	594	38	problems	problem	NOUN
ap-965	594	39	.	.	PUNCT
ap-965	595	1	the	the	DET
ap-965	595	2	potentially	potentially	ADV
ap-965	595	3	most	most	ADV
ap-965	595	4	interesting	interesting	ADJ
ap-965	595	5	one	one	NUM
ap-965	595	6	concern	concern	NOUN
ap-965	595	7	the	the	DET
ap-965	595	8	construction	construction	NOUN
ap-965	595	9	of	of	ADP
ap-965	595	10	off	off	ADP
ap-965	595	11	-	-	PUNCT
ap-965	595	12	shell	shell	ADJ
ap-965	595	13	invariant	invariant	ADJ
ap-965	595	14	actions	action	NOUN
ap-965	595	15	with	with	ADP
ap-965	595	16	the	the	DET
ap-965	595	17	dimension	dimension	NOUN
ap-965	595	18	of	of	ADP
ap-965	595	19	a	a	DET
ap-965	595	20	kinetic	kinetic	ADJ
ap-965	595	21	term	term	NOUN
ap-965	595	22	for	for	ADP
ap-965	595	23	large	large	ADJ
ap-965	595	24	values	value	NOUN
ap-965	595	25	of	of	ADP
ap-965	595	26	n	n	PROPN
ap-965	595	27	(	(	PUNCT
ap-965	595	28	let	let	VERB
ap-965	595	29	us	we	PRON
ap-965	595	30	say	say	VERB
ap-965	595	31	n	n	PRON
ap-965	595	32	%	%	NOUN
ap-965	595	33	8)	8)	NUM
ap-965	595	34	.	.	PUNCT
ap-965	596	1	they	they	PRON
ap-965	596	2	could	could	AUX
ap-965	596	3	provide	provide	VERB
ap-965	596	4	a	a	DET
ap-965	596	5	hint	hint	NOUN
ap-965	596	6	towards	towards	ADP
ap-965	596	7	an	an	DET
ap-965	596	8	off	off	ADJ
ap-965	596	9	-	-	PUNCT
ap-965	596	10	shell	shell	NOUN
ap-965	596	11	formulation	formulation	NOUN
ap-965	596	12	of	of	ADP
ap-965	596	13	higher	high	ADJ
ap-965	596	14	dimensional	dimensional	ADJ
ap-965	596	15	supergravity	supergravity	NOUN
ap-965	596	16	and	and	CCONJ
ap-965	596	17	m	m	NOUN
ap-965	596	18	-	-	NOUN
ap-965	596	19	theory	theory	NOUN
ap-965	596	20	.	.	PUNCT
ap-965	597	1	other	other	ADJ
ap-965	597	2	important	important	ADJ
ap-965	597	3	topics	topic	NOUN
ap-965	597	4	concern	concern	NOUN
ap-965	597	5	the	the	DET
ap-965	597	6	nature	nature	NOUN
ap-965	597	7	of	of	ADP
ap-965	597	8	the	the	DET
ap-965	597	9	non	non	ADJ
ap-965	597	10	-	-	ADJ
ap-965	597	11	linear	linear	ADJ
ap-965	597	12	realizations	realization	NOUN
ap-965	597	13	of	of	ADP
ap-965	597	14	the	the	DET
ap-965	597	15	supersymmetry	supersymmetry	NOUN
ap-965	597	16	and	and	CCONJ
ap-965	597	17	their	their	PRON
ap-965	597	18	connection	connection	NOUN
ap-965	597	19	with	with	ADP
ap-965	597	20	linear	linear	ADJ
ap-965	597	21	representations	representation	NOUN
ap-965	597	22	.	.	PUNCT
ap-965	598	1	we	we	PRON
ap-965	598	2	have	have	AUX
ap-965	598	3	here	here	ADV
ap-965	598	4	presented	present	VERB
ap-965	598	5	the	the	DET
ap-965	598	6	rich	rich	ADJ
ap-965	598	7	mathematics	mathematic	NOUN
ap-965	598	8	underlying	underlie	VERB
ap-965	598	9	the	the	DET
ap-965	598	10	linear	linear	ADJ
ap-965	598	11	irreducible	irreducible	ADJ
ap-965	598	12	representations	representation	NOUN
ap-965	598	13	realized	realize	VERB
ap-965	598	14	on	on	ADP
ap-965	598	15	a	a	DET
ap-965	598	16	finite	finite	ADJ
ap-965	598	17	number	number	NOUN
ap-965	598	18	of	of	ADP
ap-965	598	19	time	time	NOUN
ap-965	598	20	-	-	PUNCT
ap-965	598	21	dependent	dependent	ADJ
ap-965	598	22	fields	field	NOUN
ap-965	598	23	.	.	PUNCT
ap-965	599	1	we	we	PRON
ap-965	599	2	have	have	AUX
ap-965	599	3	shown	show	VERB
ap-965	599	4	how	how	SCONJ
ap-965	599	5	to	to	PART
ap-965	599	6	use	use	VERB
ap-965	599	7	this	this	DET
ap-965	599	8	information	information	NOUN
ap-965	599	9	to	to	PART
ap-965	599	10	construct	construct	VERB
ap-965	599	11	supersymmetric	supersymmetric	ADJ
ap-965	599	12	invariant	invariant	ADJ
ap-965	599	13	one	one	NUM
ap-965	599	14	-	-	PUNCT
ap-965	599	15	dimensional	dimensional	ADJ
ap-965	599	16	sigma	sigma	NOUN
ap-965	599	17	models	model	NOUN
ap-965	599	18	.	.	PUNCT
ap-965	600	1	we	we	PRON
ap-965	600	2	have	have	AUX
ap-965	600	3	seen	see	VERB
ap-965	600	4	that	that	SCONJ
ap-965	600	5	behind	behind	ADP
ap-965	600	6	supersymmetric	supersymmetric	ADJ
ap-965	600	7	quantum	quantum	ADJ
ap-965	600	8	mechanics	mechanic	NOUN
ap-965	600	9	there	there	ADV
ap-965	600	10	exists	exist	VERB
ap-965	600	11	an	an	DET
ap-965	600	12	interlacing	interlacing	NOUN
ap-965	600	13	of	of	ADP
ap-965	600	14	several	several	ADJ
ap-965	600	15	mathematical	mathematical	ADJ
ap-965	600	16	structures	structure	NOUN
ap-965	600	17	,	,	PUNCT
ap-965	600	18	clifford	clifford	PROPN
ap-965	600	19	algebras	algebras	PROPN
ap-965	600	20	,	,	PUNCT
ap-965	600	21	division	division	NOUN
ap-965	600	22	algebras	algebra	NOUN
ap-965	600	23	,	,	PUNCT
ap-965	600	24	graph	graph	NOUN
ap-965	600	25	theory	theory	NOUN
ap-965	600	26	.	.	PUNCT
ap-965	601	1	further	further	PROPN
ap-965	601	2	mathematical	mathematical	ADJ
ap-965	601	3	structures	structure	NOUN
ap-965	601	4	seem	seem	VERB
ap-965	601	5	to	to	PART
ap-965	601	6	enter	enter	VERB
ap-965	601	7	the	the	DET
ap-965	601	8	picture	picture	NOUN
ap-965	601	9	(	(	PUNCT
ap-965	601	10	cayley	cayley	ADJ
ap-965	601	11	-	-	PUNCT
ap-965	601	12	dickson	dickson	PROPN
ap-965	601	13	algebras	algebra	NOUN
ap-965	601	14	,	,	PUNCT
ap-965	601	15	exceptional	exceptional	ADJ
ap-965	601	16	lie	lie	NOUN
ap-965	601	17	algebras	algebra	NOUN
ap-965	601	18	,	,	PUNCT
ap-965	601	19	etc	etc	X
ap-965	601	20	.	.	X
ap-965	601	21	)	)	PUNCT
ap-965	601	22	.	.	PUNCT
ap-965	602	1	the	the	DET
ap-965	602	2	theory	theory	NOUN
ap-965	602	3	of	of	ADP
ap-965	602	4	supersymmetric	supersymmetric	ADJ
ap-965	602	5	quantum	quantum	ADJ
ap-965	602	6	mechanics	mechanic	NOUN
ap-965	602	7	is	be	AUX
ap-965	602	8	rich	rich	ADJ
ap-965	602	9	in	in	ADP
ap-965	602	10	surprises	surprise	NOUN
ap-965	602	11	and	and	CCONJ
ap-965	602	12	seems	seem	VERB
ap-965	602	13	to	to	PART
ap-965	602	14	lie	lie	VERB
ap-965	602	15	at	at	ADP
ap-965	602	16	the	the	DET
ap-965	602	17	crossroads	crossroad	NOUN
ap-965	602	18	of	of	ADP
ap-965	602	19	various	various	ADJ
ap-965	602	20	mathematical	mathematical	ADJ
ap-965	602	21	disciplines	discipline	NOUN
ap-965	602	22	.	.	PUNCT
ap-965	603	1	we	we	PRON
ap-965	603	2	have	have	AUX
ap-965	603	3	just	just	ADV
ap-965	603	4	given	give	VERB
ap-965	603	5	a	a	DET
ap-965	603	6	taste	taste	NOUN
ap-965	603	7	of	of	ADP
ap-965	603	8	it	it	PRON
ap-965	603	9	here	here	ADV
ap-965	603	10	.	.	PUNCT
ap-965	604	1	acknowledgments	acknowledgment	NOUN
ap-965	604	2	i	i	PRON
ap-965	604	3	am	be	AUX
ap-965	604	4	grateful	grateful	ADJ
ap-965	604	5	to	to	ADP
ap-965	604	6	the	the	DET
ap-965	604	7	organizers	organizer	NOUN
ap-965	604	8	of	of	ADP
ap-965	604	9	the	the	DET
ap-965	604	10	advanced	advanced	ADJ
ap-965	604	11	summer	summer	NOUN
ap-965	604	12	school	school	NOUN
ap-965	604	13	for	for	ADP
ap-965	604	14	the	the	DET
ap-965	604	15	opportunity	opportunity	NOUN
ap-965	604	16	they	they	PRON
ap-965	604	17	gave	give	VERB
ap-965	604	18	me	i	PRON
ap-965	604	19	to	to	PART
ap-965	604	20	present	present	VERB
ap-965	604	21	these	these	DET
ap-965	604	22	results	result	NOUN
ap-965	604	23	.	.	PUNCT
ap-965	605	1	i	i	PRON
ap-965	605	2	am	be	AUX
ap-965	605	3	pleased	pleased	ADJ
ap-965	605	4	to	to	PART
ap-965	605	5	thank	thank	VERB
ap-965	605	6	my	my	PRON
ap-965	605	7	collaborators	collaborator	NOUN
ap-965	605	8	zhanna	zhanna	PROPN
ap-965	605	9	kuznetsova	kuznetsova	PROPN
ap-965	605	10	and	and	CCONJ
ap-965	605	11	moises	moises	PROPN
ap-965	605	12	rojas	rojas	PROPN
ap-965	605	13	.	.	PUNCT
ap-965	606	1	these	these	DET
ap-965	606	2	lectures	lecture	NOUN
ap-965	606	3	were	be	AUX
ap-965	606	4	mostly	mostly	ADV
ap-965	606	5	based	base	VERB
ap-965	606	6	on	on	ADP
ap-965	606	7	our	our	PRON
ap-965	606	8	joint	joint	ADJ
ap-965	606	9	work	work	NOUN
ap-965	606	10	.	.	PUNCT
ap-965	607	1	references	reference	NOUN
ap-965	607	2	[	[	X
ap-965	607	3	1	1	NUM
ap-965	607	4	]	]	PUNCT
ap-965	607	5	witten	witten	PROPN
ap-965	607	6	,	,	PUNCT
ap-965	607	7	e.	e.	PROPN
ap-965	607	8	:	:	PUNCT
ap-965	607	9	nucl	nucl	PROPN
ap-965	607	10	.	.	PUNCT
ap-965	608	1	phys	phy	NOUN
ap-965	608	2	.	.	PUNCT
ap-965	608	3	,	,	PUNCT
ap-965	608	4	vol	vol	NOUN
ap-965	608	5	.	.	PUNCT
ap-965	609	1	b	b	ADP
ap-965	609	2	188	188	NUM
ap-965	609	3	(	(	PUNCT
ap-965	609	4	1981	1981	NUM
ap-965	609	5	)	)	PUNCT
ap-965	609	6	,	,	PUNCT
ap-965	609	7	p.	p.	NOUN
ap-965	609	8	513	513	NUM
ap-965	609	9	.	.	PUNCT
ap-965	610	1	[	[	X
ap-965	610	2	2	2	NUM
ap-965	610	3	]	]	PUNCT
ap-965	610	4	akulov	akulov	NOUN
ap-965	610	5	,	,	PUNCT
ap-965	610	6	v.	v.	PROPN
ap-965	610	7	,	,	PUNCT
ap-965	610	8	pashnev	pashnev	PROPN
ap-965	610	9	,	,	PUNCT
ap-965	610	10	a.	a.	NOUN
ap-965	610	11	:	:	PUNCT
ap-965	610	12	teor	teor	PROPN
ap-965	610	13	.	.	PUNCT
ap-965	610	14	mat	mat	PROPN
ap-965	610	15	.	.	PUNCT
ap-965	611	1	fiz	fiz	PROPN
ap-965	611	2	.	.	PUNCT
ap-965	612	1	vol	vol	NOUN
ap-965	612	2	.	.	PUNCT
ap-965	613	1	56	56	NUM
ap-965	613	2	(	(	PUNCT
ap-965	613	3	1983	1983	NUM
ap-965	613	4	)	)	PUNCT
ap-965	613	5	,	,	PUNCT
ap-965	614	1	p.	p.	NOUN
ap-965	614	2	344	344	NUM
ap-965	614	3	;	;	PUNCT
ap-965	614	4	fubini	fubini	NOUN
ap-965	614	5	,	,	PUNCT
ap-965	614	6	s.	s.	PROPN
ap-965	614	7	,	,	PUNCT
ap-965	614	8	rabinovici	rabinovici	PROPN
ap-965	614	9	,	,	PUNCT
ap-965	614	10	e.	e.	PROPN
ap-965	614	11	:	:	PUNCT
ap-965	614	12	nucl	nucl	PROPN
ap-965	614	13	.	.	PUNCT
ap-965	615	1	phys	phy	NOUN
ap-965	615	2	.	.	PUNCT
ap-965	615	3	,	,	PUNCT
ap-965	615	4	vol	vol	NOUN
ap-965	615	5	.	.	PUNCT
ap-965	616	1	b	b	ADP
ap-965	616	2	245	245	NUM
ap-965	616	3	(	(	PUNCT
ap-965	616	4	1984	1984	NUM
ap-965	616	5	)	)	PUNCT
ap-965	616	6	,	,	PUNCT
ap-965	616	7	p.	p.	NOUN
ap-965	616	8	17	17	NUM
ap-965	616	9	;	;	PUNCT
ap-965	616	10	ivanov	ivanov	PROPN
ap-965	616	11	,	,	PUNCT
ap-965	616	12	e.	e.	PROPN
ap-965	616	13	,	,	PUNCT
ap-965	616	14	krivonos	krivonos	PROPN
ap-965	616	15	,	,	PUNCT
ap-965	616	16	s.	s.	PROPN
ap-965	616	17	,	,	PUNCT
ap-965	616	18	lechtenfeld	lechtenfeld	NOUN
ap-965	616	19	,	,	PUNCT
ap-965	616	20	o.	o.	PROPN
ap-965	616	21	:	:	PUNCT
ap-965	616	22	jhep	jhep	ADJ
ap-965	616	23	0303	0303	NUM
ap-965	616	24	,	,	PUNCT
ap-965	616	25	2003	2003	NUM
ap-965	616	26	,	,	PUNCT
ap-965	616	27	p.	p.	NOUN
ap-965	616	28	014	014	NUM
ap-965	616	29	;	;	PUNCT
ap-965	616	30	bellucci	bellucci	PROPN
ap-965	616	31	,	,	PUNCT
ap-965	616	32	s.	s.	PROPN
ap-965	616	33	,	,	PUNCT
ap-965	616	34	ivanov	ivanov	PROPN
ap-965	616	35	,	,	PUNCT
ap-965	616	36	e.	e.	PROPN
ap-965	616	37	,	,	PUNCT
ap-965	616	38	krivonos	krivonos	PROPN
ap-965	616	39	,	,	PUNCT
ap-965	616	40	s.	s.	PROPN
ap-965	616	41	,	,	PUNCT
ap-965	616	42	lechtenfeld	lechtenfeld	NOUN
ap-965	616	43	,	,	PUNCT
ap-965	616	44	o.	o.	PROPN
ap-965	616	45	:	:	PUNCT
ap-965	616	46	nucl	nucl	PROPN
ap-965	616	47	.	.	PUNCT
ap-965	617	1	phys	phy	NOUN
ap-965	617	2	.	.	PUNCT
ap-965	617	3	,	,	PUNCT
ap-965	617	4	vol	vol	NOUN
ap-965	617	5	.	.	PUNCT
ap-965	618	1	b	b	SYM
ap-965	618	2	684	684	NUM
ap-965	618	3	(	(	PUNCT
ap-965	618	4	2004	2004	NUM
ap-965	618	5	)	)	PUNCT
ap-965	618	6	,	,	PUNCT
ap-965	618	7	p.	p.	NOUN
ap-965	618	8	321	321	NUM
ap-965	618	9	.	.	PUNCT
ap-965	619	1	[	[	X
ap-965	619	2	3	3	NUM
ap-965	619	3	]	]	X
ap-965	619	4	claus	claus	NOUN
ap-965	619	5	,	,	PUNCT
ap-965	619	6	p.	p.	NOUN
ap-965	619	7	,	,	PUNCT
ap-965	619	8	derix	derix	NOUN
ap-965	619	9	,	,	PUNCT
ap-965	619	10	m.	m.	NOUN
ap-965	619	11	,	,	PUNCT
ap-965	619	12	kallosh	kallosh	PROPN
ap-965	619	13	,	,	PUNCT
ap-965	619	14	r.	r.	PROPN
ap-965	619	15	,	,	PUNCT
ap-965	619	16	kumar	kumar	PROPN
ap-965	619	17	,	,	PUNCT
ap-965	619	18	j.	j.	PROPN
ap-965	619	19	,	,	PUNCT
ap-965	619	20	townsend	townsend	PROPN
ap-965	619	21	,	,	PUNCT
ap-965	619	22	p.	p.	PROPN
ap-965	619	23	k.	k.	PROPN
ap-965	619	24	,	,	PUNCT
ap-965	619	25	van	van	PROPN
ap-965	619	26	proeyen	proeyen	NOUN
ap-965	619	27	,	,	PUNCT
ap-965	619	28	a.	a.	NOUN
ap-965	619	29	:	:	PUNCT
ap-965	619	30	phys	phy	NOUN
ap-965	619	31	.	.	PUNCT
ap-965	620	1	rev	rev	PROPN
ap-965	620	2	.	.	PROPN
ap-965	620	3	lett	lett	PROPN
ap-965	620	4	.	.	PROPN
ap-965	620	5	,	,	PUNCT
ap-965	620	6	vol	vol	NOUN
ap-965	620	7	.	.	PROPN
ap-965	621	1	81	81	NUM
ap-965	621	2	(	(	PUNCT
ap-965	621	3	1998	1998	NUM
ap-965	621	4	)	)	PUNCT
ap-965	622	1	p.	p.	NOUN
ap-965	622	2	4553	4553	NUM
ap-965	622	3	;	;	PUNCT
ap-965	622	4	de	de	X
ap-965	622	5	azcarraga	azcarraga	PROPN
ap-965	622	6	,	,	PUNCT
ap-965	622	7	j.	j.	PROPN
ap-965	622	8	a.	a.	PROPN
ap-965	622	9	,	,	PUNCT
ap-965	622	10	izquierdo	izquierdo	PROPN
ap-965	622	11	,	,	PUNCT
ap-965	622	12	j.	j.	PROPN
ap-965	622	13	m.	m.	PROPN
ap-965	622	14	,	,	PUNCT
ap-965	622	15	perez	perez	PROPN
ap-965	622	16	-	-	PUNCT
ap-965	622	17	bueno	bueno	PROPN
ap-965	622	18	,	,	PUNCT
ap-965	622	19	j.	j.	PROPN
ap-965	622	20	c.	c.	PROPN
ap-965	622	21	,	,	PUNCT
ap-965	622	22	townsend	townsend	PROPN
ap-965	622	23	,	,	PUNCT
ap-965	622	24	p.	p.	PROPN
ap-965	622	25	k.	k.	PROPN
ap-965	622	26	:	:	PUNCT
ap-965	623	1	phys	phy	NOUN
ap-965	623	2	.	.	PUNCT
ap-965	624	1	rev	rev	PROPN
ap-965	624	2	.	.	PROPN
ap-965	624	3	,	,	PUNCT
ap-965	624	4	vol	vol	NOUN
ap-965	624	5	.	.	PUNCT
ap-965	625	1	d	d	X
ap-965	625	2	59	59	NUM
ap-965	625	3	(	(	PUNCT
ap-965	625	4	1999	1999	NUM
ap-965	625	5	)	)	PUNCT
ap-965	625	6	,	,	PUNCT
ap-965	625	7	p.	p.	NOUN
ap-965	625	8	084015	084015	NUM
ap-965	625	9	;	;	PUNCT
ap-965	625	10	michelson	michelson	PROPN
ap-965	625	11	,	,	PUNCT
ap-965	625	12	j.	j.	PROPN
ap-965	625	13	,	,	PUNCT
ap-965	625	14	strominger	strominger	NOUN
ap-965	625	15	,	,	PUNCT
ap-965	625	16	a.	a.	NOUN
ap-965	625	17	:	:	PUNCT
ap-965	625	18	jhep	jhep	ADJ
ap-965	625	19	9909	9909	NUM
ap-965	625	20	,	,	PUNCT
ap-965	625	21	1999	1999	NUM
ap-965	625	22	,	,	PUNCT
ap-965	625	23	p.	p.	NOUN
ap-965	625	24	005	005	NUM
ap-965	625	25	.	.	PUNCT
ap-965	626	1	[	[	X
ap-965	626	2	4	4	NUM
ap-965	626	3	]	]	PUNCT
ap-965	626	4	britto	britto	NOUN
ap-965	626	5	-	-	PUNCT
ap-965	626	6	pacumio	pacumio	NOUN
ap-965	626	7	,	,	PUNCT
ap-965	626	8	r.	r.	PROPN
ap-965	626	9	,	,	PUNCT
ap-965	626	10	michelson	michelson	PROPN
ap-965	626	11	,	,	PUNCT
ap-965	626	12	j.	j.	PROPN
ap-965	626	13	,	,	PUNCT
ap-965	626	14	strominger	strominger	PROPN
ap-965	626	15	,	,	PUNCT
ap-965	626	16	a.	a.	NOUN
ap-965	626	17	,	,	PUNCT
ap-965	626	18	volovich	volovich	ADV
ap-965	626	19	,	,	PUNCT
ap-965	626	20	a.	a.	NOUN
ap-965	626	21	:	:	PUNCT
ap-965	626	22	“	"	PUNCT
ap-965	626	23	lectures	lecture	NOUN
ap-965	626	24	on	on	ADP
ap-965	626	25	superconformal	superconformal	ADJ
ap-965	626	26	quantum	quantum	NOUN
ap-965	626	27	mechanics	mechanic	NOUN
ap-965	626	28	and	and	CCONJ
ap-965	626	29	multi	multi	ADJ
ap-965	626	30	-	-	ADJ
ap-965	626	31	black	black	ADJ
ap-965	626	32	hole	hole	NOUN
ap-965	626	33	moduli	moduli	NOUN
ap-965	626	34	spaces	space	VERB
ap-965	626	35	”	"	PUNCT
ap-965	626	36	,	,	PUNCT
ap-965	626	37	hep	hep	NOUN
ap-965	626	38	-	-	SYM
ap-965	626	39	th/9911066	th/9911066	NOUN
ap-965	626	40	.	.	PUNCT
ap-965	627	1	[	[	X
ap-965	627	2	5	5	NUM
ap-965	627	3	]	]	X
ap-965	627	4	ivanov	ivanov	PROPN
ap-965	627	5	,	,	PUNCT
ap-965	627	6	e.	e.	PROPN
ap-965	627	7	a.	a.	PROPN
ap-965	627	8	,	,	PUNCT
ap-965	627	9	krivonos	krivonos	PROPN
ap-965	627	10	,	,	PUNCT
ap-965	627	11	s.	s.	PROPN
ap-965	627	12	o.	o.	PROPN
ap-965	627	13	,	,	PUNCT
ap-965	627	14	pashnev	pashnev	PROPN
ap-965	627	15	,	,	PUNCT
ap-965	627	16	a.	a.	NOUN
ap-965	627	17	i.	i.	NOUN
ap-965	627	18	:	:	PUNCT
ap-965	628	1	class	class	NOUN
ap-965	628	2	.	.	PUNCT
ap-965	628	3	quantum	quantum	PROPN
ap-965	628	4	grav	grav	NOUN
ap-965	628	5	.	.	PUNCT
ap-965	628	6	,	,	PUNCT
ap-965	628	7	vol	vol	NOUN
ap-965	628	8	.	.	PROPN
ap-965	628	9	8	8	NUM
ap-965	628	10	(	(	PUNCT
ap-965	628	11	1991	1991	NUM
ap-965	628	12	)	)	PUNCT
ap-965	628	13	,	,	PUNCT
ap-965	628	14	p.	p.	NOUN
ap-965	628	15	19	19	NUM
ap-965	628	16	.	.	PUNCT
ap-965	629	1	[	[	X
ap-965	629	2	6	6	NUM
ap-965	629	3	]	]	PUNCT
ap-965	629	4	donets	donet	NOUN
ap-965	629	5	,	,	PUNCT
ap-965	629	6	e.e	e.e	PROPN
ap-965	629	7	.	.	PROPN
ap-965	629	8	,	,	PUNCT
ap-965	629	9	pashnev	pashnev	PROPN
ap-965	629	10	,	,	PUNCT
ap-965	629	11	a.i	a.i	PROPN
ap-965	629	12	.	.	PROPN
ap-965	629	13	,	,	PUNCT
ap-965	629	14	rosales	rosale	NOUN
ap-965	629	15	,	,	PUNCT
ap-965	629	16	j.j	j.j	PROPN
ap-965	629	17	.	.	PROPN
ap-965	629	18	,	,	PUNCT
ap-965	629	19	tsulaia	tsulaia	PROPN
ap-965	629	20	,	,	PUNCT
ap-965	629	21	m.m	m.m	PROPN
ap-965	629	22	.	.	PROPN
ap-965	629	23	:	:	PUNCT
ap-965	629	24	phys	phy	NOUN
ap-965	629	25	.	.	PUNCT
ap-965	629	26	rev	rev	PROPN
ap-965	629	27	.	.	PROPN
ap-965	629	28	,	,	PUNCT
ap-965	629	29	vol	vol	NOUN
ap-965	629	30	.	.	PUNCT
ap-965	630	1	d	d	ADP
ap-965	630	2	61	61	NUM
ap-965	630	3	(	(	PUNCT
ap-965	630	4	2000	2000	NUM
ap-965	630	5	)	)	PUNCT
ap-965	630	6	,	,	PUNCT
ap-965	630	7	p.	p.	NOUN
ap-965	630	8	43512	43512	NUM
ap-965	630	9	.	.	PUNCT
ap-965	631	1	[	[	X
ap-965	631	2	7	7	NUM
ap-965	631	3	]	]	SYM
ap-965	631	4	rittenberg	rittenberg	NOUN
ap-965	631	5	,	,	PUNCT
ap-965	631	6	v.	v.	ADV
ap-965	631	7	,	,	PUNCT
ap-965	631	8	yankielowicz	yankielowicz	PROPN
ap-965	631	9	,	,	PUNCT
ap-965	631	10	s.	s.	PROPN
ap-965	631	11	:	:	PUNCT
ap-965	632	1	ann	ann	PROPN
ap-965	632	2	.	.	PUNCT
ap-965	633	1	phys	phys	PROPN
ap-965	633	2	.	.	PUNCT
ap-965	633	3	,	,	PUNCT
ap-965	633	4	vol	vol	NOUN
ap-965	633	5	.	.	PROPN
ap-965	633	6	162	162	NUM
ap-965	633	7	(	(	PUNCT
ap-965	633	8	1985	1985	NUM
ap-965	633	9	)	)	PUNCT
ap-965	633	10	,	,	PUNCT
ap-965	633	11	p.	p.	NOUN
ap-965	633	12	273	273	NUM
ap-965	633	13	;	;	PUNCT
ap-965	633	14	claudson	claudson	NOUN
ap-965	633	15	,	,	PUNCT
ap-965	633	16	m.	m.	NOUN
ap-965	633	17	,	,	PUNCT
ap-965	633	18	halpern	halpern	PROPN
ap-965	633	19	,	,	PUNCT
ap-965	633	20	m.	m.	PROPN
ap-965	633	21	b.	b.	PROPN
ap-965	633	22	:	:	PUNCT
ap-965	633	23	nucl	nucl	PROPN
ap-965	633	24	.	.	PUNCT
ap-965	633	25	72	72	NUM
ap-965	633	26	acta	acta	PROPN
ap-965	633	27	polytechnica	polytechnica	PROPN
ap-965	633	28	vol	vol	NOUN
ap-965	633	29	.	.	PUNCT
ap-965	634	1	48	48	NUM
ap-965	634	2	no	no	NOUN
ap-965	634	3	.	.	PUNCT
ap-965	635	1	2/2008	2/2008	NUM
ap-965	635	2	fig	fig	NOUN
ap-965	635	3	.	.	PUNCT
ap-965	636	1	4	4	NUM
ap-965	636	2	:	:	PUNCT
ap-965	636	3	fusion	fusion	NOUN
ap-965	636	4	graph	graph	NOUN
ap-965	636	5	of	of	ADP
ap-965	636	6	the	the	DET
ap-965	636	7	n	n	PROPN
ap-965	636	8	�	�	NOUN
ap-965	636	9	1	1	NUM
ap-965	636	10	superalgebra	superalgebra	NOUN
ap-965	636	11	(	(	PUNCT
ap-965	636	12	b	b	NOUN
ap-965	636	13	case	case	NOUN
ap-965	636	14	,	,	PUNCT
ap-965	636	15	2	2	NUM
ap-965	636	16	irreps	irrep	NOUN
ap-965	636	17	,	,	PUNCT
ap-965	636	18	bosons	boson	NOUN
ap-965	636	19	/	/	SYM
ap-965	636	20	fermions	fermion	NOUN
ap-965	636	21	distinction	distinction	NOUN
ap-965	636	22	)	)	PUNCT
ap-965	636	23	fig	fig	NOUN
ap-965	636	24	.	.	PUNCT
ap-965	637	1	5	5	NUM
ap-965	637	2	:	:	PUNCT
ap-965	637	3	fusion	fusion	NOUN
ap-965	637	4	graph	graph	NOUN
ap-965	637	5	of	of	ADP
ap-965	637	6	the	the	DET
ap-965	637	7	n	n	PRON
ap-965	637	8	�	�	PROPN
ap-965	637	9	2	2	NUM
ap-965	637	10	superalgebra	superalgebra	NOUN
ap-965	637	11	(	(	PUNCT
ap-965	637	12	a	a	DET
ap-965	637	13	case	case	NOUN
ap-965	637	14	,	,	PUNCT
ap-965	637	15	2	2	NUM
ap-965	637	16	irreps	irrep	NOUN
ap-965	637	17	,	,	PUNCT
ap-965	637	18	no	no	DET
ap-965	637	19	bosons	bosons	NOUN
ap-965	637	20	/	/	SYM
ap-965	637	21	fermions	fermion	NOUN
ap-965	637	22	distinction	distinction	NOUN
ap-965	637	23	)	)	PUNCT
ap-965	637	24	fig	fig	NOUN
ap-965	637	25	.	.	PUNCT
ap-965	638	1	6	6	NUM
ap-965	638	2	:	:	PUNCT
ap-965	638	3	fusion	fusion	NOUN
ap-965	638	4	graph	graph	NOUN
ap-965	638	5	of	of	ADP
ap-965	638	6	the	the	DET
ap-965	638	7	n	n	PRON
ap-965	638	8	�	�	PROPN
ap-965	638	9	2	2	NUM
ap-965	638	10	superalgebra	superalgebra	NOUN
ap-965	638	11	(	(	PUNCT
ap-965	638	12	b	b	NOUN
ap-965	638	13	case	case	NOUN
ap-965	638	14	,	,	PUNCT
ap-965	638	15	4	4	NUM
ap-965	638	16	irreps	irrep	NOUN
ap-965	638	17	,	,	PUNCT
ap-965	638	18	bosons	boson	NOUN
ap-965	638	19	/	/	SYM
ap-965	638	20	fermions	fermion	NOUN
ap-965	638	21	distinction	distinction	NOUN
ap-965	638	22	)	)	PUNCT
ap-965	638	23	,	,	PUNCT
ap-965	638	24	“	"	PUNCT
ap-965	638	25	the	the	DET
ap-965	638	26	smiling	smile	VERB
ap-965	638	27	face	face	NOUN
ap-965	638	28	”	"	PUNCT
ap-965	638	29	.	.	PUNCT
ap-965	639	1	from	from	ADP
ap-965	639	2	left	left	ADJ
ap-965	639	3	to	to	ADP
ap-965	639	4	right	right	VERB
ap-965	639	5	the	the	DET
ap-965	639	6	four	four	NUM
ap-965	639	7	points	point	NOUN
ap-965	639	8	correspond	correspond	VERB
ap-965	639	9	to	to	ADP
ap-965	639	10	the	the	DET
ap-965	639	11	[	[	X
ap-965	639	12	2	2	NUM
ap-965	639	13	]	]	PUNCT
ap-965	639	14	–	–	PUNCT
ap-965	640	1	[	[	X
ap-965	640	2	1	1	NUM
ap-965	640	3	]	]	PUNCT
ap-965	640	4	–	–	PUNCT
ap-965	641	1	[	[	X
ap-965	641	2	3	3	NUM
ap-965	641	3	]	]	PUNCT
ap-965	641	4	–	–	PUNCT
ap-965	641	5	[	[	X
ap-965	641	6	4	4	NUM
ap-965	641	7	]	]	X
ap-965	641	8	irreps	irrep	NOUN
ap-965	641	9	,	,	PUNCT
ap-965	641	10	respectively	respectively	ADV
ap-965	641	11	.	.	PUNCT
ap-965	642	1	the	the	DET
ap-965	642	2	lines	line	NOUN
ap-965	642	3	are	be	AUX
ap-965	642	4	generated	generate	VERB
ap-965	642	5	by	by	ADP
ap-965	642	6	the	the	PRON
ap-965	642	7	n	n	CCONJ
ap-965	642	8	x1	x1	PROPN
ap-965	642	9	�	�	PROPN
ap-965	642	10	fusion	fusion	NOUN
ap-965	642	11	matrix	matrix	NOUN
ap-965	642	12	,	,	PUNCT
ap-965	642	13	see	see	VERB
ap-965	642	14	(	(	PUNCT
ap-965	642	15	10.72	10.72	NUM
ap-965	642	16	)	)	PUNCT
ap-965	642	17	fig	fig	NOUN
ap-965	642	18	.	.	PUNCT
ap-965	643	1	3	3	NUM
ap-965	643	2	:	:	PUNCT
ap-965	643	3	fusion	fusion	NOUN
ap-965	643	4	graph	graph	NOUN
ap-965	643	5	of	of	ADP
ap-965	643	6	the	the	DET
ap-965	643	7	n	n	PROPN
ap-965	643	8	�	�	PROPN
ap-965	643	9	1superalgebra	1superalgebra	NUM
ap-965	643	10	(	(	PUNCT
ap-965	643	11	a	a	DET
ap-965	643	12	case	case	NOUN
ap-965	643	13	,	,	PUNCT
ap-965	643	14	1	1	NUM
ap-965	643	15	irrep	irrep	NOUN
ap-965	643	16	,	,	PUNCT
ap-965	643	17	no	no	DET
ap-965	643	18	bosons	boson	NOUN
ap-965	643	19	/	/	SYM
ap-965	643	20	fermions	fermion	NOUN
ap-965	643	21	distinction	distinction	NOUN
ap-965	643	22	)	)	PUNCT
ap-965	643	23	phys	phy	NOUN
ap-965	643	24	.	.	PUNCT
ap-965	643	25	,	,	PUNCT
ap-965	643	26	vol	vol	NOUN
ap-965	643	27	.	.	PUNCT
ap-965	644	1	b	b	NOUN
ap-965	644	2	250	250	NUM
ap-965	644	3	(	(	PUNCT
ap-965	644	4	1985	1985	NUM
ap-965	644	5	)	)	PUNCT
ap-965	644	6	,	,	PUNCT
ap-965	645	1	p.	p.	NOUN
ap-965	645	2	689	689	NUM
ap-965	645	3	;	;	PUNCT
ap-965	645	4	flume	flume	NOUN
ap-965	645	5	,	,	PUNCT
ap-965	645	6	r.	r.	PROPN
ap-965	645	7	:	:	PUNCT
ap-965	645	8	ann	ann	PROPN
ap-965	645	9	.	.	PUNCT
ap-965	646	1	phys	phys	PROPN
ap-965	646	2	.	.	PUNCT
ap-965	646	3	,	,	PUNCT
ap-965	646	4	vol	vol	NOUN
ap-965	646	5	.	.	PROPN
ap-965	646	6	164	164	NUM
ap-965	646	7	(	(	PUNCT
ap-965	646	8	1985	1985	NUM
ap-965	646	9	)	)	PUNCT
ap-965	646	10	,	,	PUNCT
ap-965	646	11	p.	p.	NOUN
ap-965	646	12	189	189	NUM
ap-965	646	13	.	.	PUNCT
ap-965	647	1	[	[	X
ap-965	647	2	8	8	NUM
ap-965	647	3	]	]	PUNCT
ap-965	647	4	gates	gates	PROPN
ap-965	647	5	jr	jr	PROPN
ap-965	647	6	.	.	PROPN
ap-965	647	7	,	,	PUNCT
ap-965	647	8	s.j	s.j	PROPN
ap-965	647	9	.	.	PROPN
ap-965	647	10	,	,	PUNCT
ap-965	647	11	linch	linch	PROPN
ap-965	647	12	,	,	PUNCT
ap-965	647	13	w.d	w.d	PROPN
ap-965	647	14	.	.	PROPN
ap-965	647	15	,	,	PUNCT
ap-965	647	16	phillips	phillips	PROPN
ap-965	647	17	,	,	PUNCT
ap-965	647	18	j.	j.	PROPN
ap-965	647	19	:	:	PUNCT
ap-965	647	20	hep	hep	NOUN
ap-965	647	21	-	-	PUNCT
ap-965	647	22	th/0211034	th/0211034	NOUN
ap-965	647	23	;	;	PUNCT
ap-965	647	24	gates	gates	PROPN
ap-965	647	25	jr	jr	PROPN
ap-965	647	26	.	.	PROPN
ap-965	647	27	,	,	PUNCT
ap-965	647	28	s.j	s.j	PROPN
ap-965	647	29	.	.	PROPN
ap-965	647	30	,	,	PUNCT
ap-965	647	31	linch	linch	PROPN
ap-965	647	32	iii	iii	PROPN
ap-965	647	33	,	,	PUNCT
ap-965	647	34	w.d	w.d	PROPN
ap-965	647	35	.	.	PROPN
ap-965	647	36	,	,	PUNCT
ap-965	647	37	phillips	phillips	PROPN
ap-965	647	38	,	,	PUNCT
ap-965	647	39	j.	j.	PROPN
ap-965	647	40	,	,	PUNCT
ap-965	647	41	rana	rana	PROPN
ap-965	647	42	,	,	PUNCT
ap-965	647	43	l.	l.	PROPN
ap-965	647	44	:	:	PUNCT
ap-965	647	45	grav	grav	PROPN
ap-965	647	46	.	.	PUNCT
ap-965	648	1	cosmol	cosmol	PROPN
ap-965	648	2	.	.	PUNCT
ap-965	648	3	,	,	PUNCT
ap-965	648	4	vol	vol	NOUN
ap-965	648	5	.	.	NOUN
ap-965	648	6	8	8	NUM
ap-965	648	7	(	(	PUNCT
ap-965	648	8	2002	2002	NUM
ap-965	648	9	)	)	PUNCT
ap-965	648	10	,	,	PUNCT
ap-965	649	1	p.	p.	NOUN
ap-965	649	2	96	96	NUM
ap-965	649	3	.	.	PUNCT
ap-965	650	1	[	[	X
ap-965	650	2	9	9	NUM
ap-965	650	3	]	]	X
ap-965	650	4	de	de	X
ap-965	650	5	crombrugghe	crombrugghe	PROPN
ap-965	650	6	,	,	PUNCT
ap-965	650	7	m.	m.	NOUN
ap-965	650	8	,	,	PUNCT
ap-965	650	9	rittenberg	rittenberg	PROPN
ap-965	650	10	,	,	PUNCT
ap-965	650	11	v.	v.	PROPN
ap-965	650	12	:	:	PUNCT
ap-965	650	13	ann	ann	PROPN
ap-965	650	14	.	.	PUNCT
ap-965	651	1	phys	phys	PROPN
ap-965	651	2	.	.	PUNCT
ap-965	651	3	,	,	PUNCT
ap-965	651	4	vol	vol	NOUN
ap-965	651	5	.	.	PROPN
ap-965	651	6	151	151	NUM
ap-965	651	7	(	(	PUNCT
ap-965	651	8	1983	1983	NUM
ap-965	651	9	)	)	PUNCT
ap-965	651	10	,	,	PUNCT
ap-965	652	1	p.	p.	NOUN
ap-965	652	2	99	99	NUM
ap-965	652	3	.	.	PUNCT
ap-965	653	1	[	[	X
ap-965	653	2	10	10	NUM
ap-965	653	3	]	]	X
ap-965	653	4	baake	baake	NOUN
ap-965	653	5	,	,	PUNCT
ap-965	653	6	m.	m.	NOUN
ap-965	653	7	,	,	PUNCT
ap-965	653	8	reinicke	reinicke	NOUN
ap-965	653	9	,	,	PUNCT
ap-965	653	10	m.	m.	NOUN
ap-965	653	11	,	,	PUNCT
ap-965	653	12	rittenberg	rittenberg	PROPN
ap-965	653	13	,	,	PUNCT
ap-965	653	14	v.	v.	PROPN
ap-965	653	15	:	:	PUNCT
ap-965	653	16	j.	j.	PROPN
ap-965	653	17	math	math	PROPN
ap-965	653	18	.	.	PUNCT
ap-965	654	1	phys	phy	NOUN
ap-965	654	2	.	.	PUNCT
ap-965	654	3	,	,	PUNCT
ap-965	654	4	vol	vol	NOUN
ap-965	654	5	.	.	PROPN
ap-965	654	6	26	26	NUM
ap-965	654	7	(	(	PUNCT
ap-965	654	8	1985	1985	NUM
ap-965	654	9	)	)	PUNCT
ap-965	654	10	,	,	PUNCT
ap-965	654	11	p.	p.	NOUN
ap-965	654	12	1070	1070	NUM
ap-965	654	13	.	.	PUNCT
ap-965	655	1	[	[	X
ap-965	655	2	11	11	NUM
ap-965	655	3	]	]	PUNCT
ap-965	655	4	gates	gates	PROPN
ap-965	655	5	jr	jr	PROPN
ap-965	655	6	.	.	PROPN
ap-965	655	7	,	,	PUNCT
ap-965	655	8	s.j	s.j	PROPN
ap-965	655	9	.	.	PROPN
ap-965	655	10	,	,	PUNCT
ap-965	655	11	rana	rana	PROPN
ap-965	655	12	,	,	PUNCT
ap-965	655	13	l.	l.	PROPN
ap-965	655	14	:	:	PUNCT
ap-965	655	15	phys	phy	NOUN
ap-965	655	16	.	.	PUNCT
ap-965	656	1	lett	lett	PROPN
ap-965	656	2	.	.	PROPN
ap-965	656	3	,	,	PUNCT
ap-965	656	4	vol	vol	NOUN
ap-965	656	5	.	.	PUNCT
ap-965	657	1	b	b	NOUN
ap-965	657	2	352	352	NUM
ap-965	657	3	(	(	PUNCT
ap-965	657	4	1995	1995	NUM
ap-965	657	5	)	)	PUNCT
ap-965	657	6	,	,	PUNCT
ap-965	657	7	p.	p.	NOUN
ap-965	657	8	50	50	NUM
ap-965	657	9	;	;	PUNCT
ap-965	657	10	ibid	ibid	NOUN
ap-965	657	11	.	.	PUNCT
ap-965	658	1	vol	vol	NOUN
ap-965	658	2	.	.	PUNCT
ap-965	659	1	b	b	NOUN
ap-965	659	2	369	369	NUM
ap-965	659	3	(	(	PUNCT
ap-965	659	4	1996	1996	NUM
ap-965	659	5	)	)	PUNCT
ap-965	659	6	,	,	PUNCT
ap-965	659	7	p.	p.	NOUN
ap-965	659	8	262	262	NUM
ap-965	659	9	.	.	PUNCT
ap-965	660	1	[	[	X
ap-965	660	2	12	12	NUM
ap-965	660	3	]	]	X
ap-965	660	4	bellucci	bellucci	PROPN
ap-965	660	5	,	,	PUNCT
ap-965	660	6	s.	s.	PROPN
ap-965	660	7	,	,	PUNCT
ap-965	660	8	ivanov	ivanov	PROPN
ap-965	660	9	,	,	PUNCT
ap-965	660	10	e.	e.	PROPN
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ap-965	684	20	princeton	princeton	PROPN
ap-965	684	21	un	un	PROPN
ap-965	684	22	.	.	PROPN
ap-965	684	23	press	press	PROPN
ap-965	684	24	(	(	PUNCT
ap-965	684	25	1992	1992	NUM
ap-965	684	26	)	)	PUNCT
ap-965	684	27	.	.	PUNCT
ap-965	685	1	[	[	X
ap-965	685	2	20	20	NUM
ap-965	685	3	]	]	SYM
ap-965	685	4	atiyah	atiyah	NOUN
ap-965	685	5	,	,	PUNCT
ap-965	685	6	m.f	m.f	PROPN
ap-965	685	7	.	.	PROPN
ap-965	685	8	,	,	PUNCT
ap-965	685	9	bott	bott	PROPN
ap-965	685	10	,	,	PUNCT
ap-965	685	11	r.	r.	PROPN
ap-965	685	12	,	,	PUNCT
ap-965	685	13	shapiro	shapiro	PROPN
ap-965	685	14	,	,	PUNCT
ap-965	685	15	a.	a.	NOUN
ap-965	685	16	:	:	PUNCT
ap-965	685	17	topology	topology	NOUN
ap-965	685	18	(	(	PUNCT
ap-965	685	19	suppl	suppl	ADJ
ap-965	685	20	.	.	PROPN
ap-965	685	21	1	1	NUM
ap-965	685	22	)	)	PUNCT
ap-965	685	23	,	,	PUNCT
ap-965	685	24	vol	vol	NOUN
ap-965	685	25	.	.	PROPN
ap-965	685	26	3	3	NUM
ap-965	685	27	(	(	PUNCT
ap-965	685	28	1964	1964	NUM
ap-965	685	29	)	)	PUNCT
ap-965	685	30	,	,	PUNCT
ap-965	685	31	p.	p.	NOUN
ap-965	685	32	3	3	NUM
ap-965	685	33	.	.	PUNCT
ap-965	686	1	[	[	X
ap-965	686	2	21	21	NUM
ap-965	686	3	]	]	PUNCT
ap-965	686	4	porteous	porteous	NOUN
ap-965	686	5	,	,	PUNCT
ap-965	686	6	i.r	i.r	PROPN
ap-965	686	7	.	.	PROPN
ap-965	686	8	:	:	PUNCT
ap-965	687	1	clifford	clifford	PROPN
ap-965	687	2	algebras	algebras	PROPN
ap-965	687	3	and	and	CCONJ
ap-965	687	4	the	the	DET
ap-965	687	5	classical	classical	ADJ
ap-965	687	6	groups	group	NOUN
ap-965	687	7	,	,	PUNCT
ap-965	687	8	cambridge	cambridge	PROPN
ap-965	687	9	un	un	PROPN
ap-965	687	10	.	.	PROPN
ap-965	687	11	press	press	PROPN
ap-965	687	12	,	,	PUNCT
ap-965	687	13	1995	1995	NUM
ap-965	687	14	.	.	PUNCT
ap-965	688	1	[	[	X
ap-965	688	2	22	22	NUM
ap-965	688	3	]	]	PUNCT
ap-965	688	4	okubo	okubo	NOUN
ap-965	688	5	,	,	PUNCT
ap-965	688	6	s.	s.	PROPN
ap-965	688	7	:	:	PUNCT
ap-965	688	8	j.	j.	PROPN
ap-965	688	9	math	math	PROPN
ap-965	688	10	.	.	PUNCT
ap-965	689	1	phys	phy	NOUN
ap-965	689	2	.	.	PUNCT
ap-965	689	3	,	,	PUNCT
ap-965	689	4	vol	vol	NOUN
ap-965	689	5	.	.	PROPN
ap-965	689	6	32	32	NUM
ap-965	689	7	(	(	PUNCT
ap-965	689	8	1991	1991	NUM
ap-965	689	9	)	)	PUNCT
ap-965	689	10	,	,	PUNCT
ap-965	689	11	p.	p.	NOUN
ap-965	689	12	1657	1657	NUM
ap-965	689	13	;	;	PUNCT
ap-965	689	14	ibid	ibid	NOUN
ap-965	689	15	.	.	PUNCT
ap-965	690	1	(	(	PUNCT
ap-965	690	2	1991	1991	NUM
ap-965	690	3	)	)	PUNCT
ap-965	690	4	,	,	PUNCT
ap-965	690	5	p.	p.	NOUN
ap-965	690	6	1669	1669	NUM
ap-965	690	7	.	.	PUNCT
ap-965	691	1	[	[	X
ap-965	691	2	23	23	NUM
ap-965	691	3	]	]	X
ap-965	691	4	faux	faux	ADJ
ap-965	691	5	,	,	PUNCT
ap-965	691	6	m.	m.	NOUN
ap-965	691	7	,	,	PUNCT
ap-965	691	8	gates	gate	VERB
ap-965	691	9	jr	jr	PROPN
ap-965	691	10	.	.	PROPN
ap-965	691	11	,	,	PUNCT
ap-965	691	12	s.j	s.j	PROPN
ap-965	691	13	.	.	PROPN
ap-965	691	14	:	:	PUNCT
ap-965	692	1	phys	phy	NOUN
ap-965	692	2	.	.	PUNCT
ap-965	693	1	rev	rev	PROPN
ap-965	693	2	.	.	PUNCT
ap-965	694	1	d	d	X
ap-965	694	2	71	71	NUM
ap-965	694	3	(	(	PUNCT
ap-965	694	4	2005	2005	NUM
ap-965	694	5	)	)	PUNCT
ap-965	694	6	065002	065002	NUM
ap-965	694	7	.	.	PUNCT
ap-965	695	1	[	[	X
ap-965	695	2	24	24	NUM
ap-965	695	3	]	]	PUNCT
ap-965	695	4	baez	baez	NOUN
ap-965	695	5	,	,	PUNCT
ap-965	695	6	j.	j.	PROPN
ap-965	695	7	:	:	PUNCT
ap-965	695	8	the	the	DET
ap-965	695	9	octonions	octonion	NOUN
ap-965	695	10	,	,	PUNCT
ap-965	695	11	math.ra/0105155	math.ra/0105155	NOUN
ap-965	695	12	.	.	PUNCT
ap-965	696	1	[	[	X
ap-965	696	2	25	25	NUM
ap-965	696	3	]	]	X
ap-965	696	4	doran	doran	PROPN
ap-965	696	5	,	,	PUNCT
ap-965	696	6	c.f	c.f	PROPN
ap-965	696	7	.	.	PROPN
ap-965	696	8	,	,	PUNCT
ap-965	696	9	faux	faux	PROPN
ap-965	696	10	,	,	PUNCT
ap-965	696	11	m.g	m.g	PROPN
ap-965	696	12	.	.	PROPN
ap-965	696	13	,	,	PUNCT
ap-965	696	14	gates	gate	VERB
ap-965	696	15	jr	jr	PROPN
ap-965	696	16	.	.	PROPN
ap-965	696	17	,	,	PUNCT
ap-965	696	18	s.j	s.j	PROPN
ap-965	696	19	.	.	PROPN
ap-965	696	20	,	,	PUNCT
ap-965	696	21	hubsch	hubsch	PROPN
ap-965	696	22	,	,	PUNCT
ap-965	696	23	t.	t.	PROPN
ap-965	696	24	,	,	PUNCT
ap-965	696	25	iga	iga	PROPN
ap-965	696	26	,	,	PUNCT
ap-965	696	27	k.m	k.m	PROPN
ap-965	696	28	.	.	PROPN
ap-965	696	29	,	,	PUNCT
ap-965	696	30	landweber	landweber	PROPN
ap-965	696	31	,	,	PUNCT
ap-965	696	32	g.d	g.d	PROPN
ap-965	696	33	.	.	PROPN
ap-965	696	34	:	:	PUNCT
ap-965	697	1	hep	hep	NOUN
ap-965	697	2	-	-	PUNCT
ap-965	697	3	th/0611060	th/0611060	NOUN
ap-965	697	4	.	.	PUNCT
ap-965	698	1	[	[	X
ap-965	698	2	26	26	NUM
ap-965	698	3	]	]	X
ap-965	698	4	toppan	toppan	NOUN
ap-965	698	5	,	,	PUNCT
ap-965	698	6	f.	f.	PROPN
ap-965	698	7	:	:	PUNCT
ap-965	699	1	hep	hep	PROPN
ap-965	699	2	-	-	PROPN
ap-965	699	3	th/0612276	th/0612276	NOUN
ap-965	699	4	.	.	PROPN
ap-965	699	5	francesco	francesco	PROPN
ap-965	699	6	toppan	toppan	PROPN
ap-965	700	1	e	e	NOUN
ap-965	700	2	-	-	NOUN
ap-965	700	3	mail	mail	NOUN
ap-965	700	4	:	:	PUNCT
ap-965	700	5	toppan@cbpf.br	toppan@cbpf.br	PROPN
ap-965	700	6	cbpf	cbpf	PROPN
ap-965	700	7	rua	rua	PROPN
ap-965	700	8	dr	dr	PROPN
ap-965	700	9	.	.	PROPN
ap-965	700	10	xavier	xavier	PROPN
ap-965	700	11	sigaud	sigaud	VERB
ap-965	700	12	150	150	NUM
ap-965	700	13	cep	cep	NOUN
ap-965	700	14	22290	22290	NUM
ap-965	700	15	-	-	SYM
ap-965	700	16	180	180	NUM
ap-965	700	17	,	,	PUNCT
ap-965	700	18	rio	rio	PROPN
ap-965	700	19	de	de	PROPN
ap-965	700	20	janeiro	janeiro	PROPN
ap-965	700	21	(	(	PUNCT
ap-965	700	22	rj	rj	PROPN
ap-965	700	23	)	)	PUNCT
ap-965	700	24	,	,	PUNCT
ap-965	700	25	brazil	brazil	PROPN
ap-965	700	26	74	74	NUM
ap-965	700	27	©	©	PROPN
ap-965	700	28	czech	czech	PROPN
ap-965	700	29	technical	technical	PROPN
ap-965	700	30	university	university	PROPN
ap-965	700	31	publishing	publishing	NOUN
ap-965	700	32	house	house	NOUN
ap-965	700	33	http://ctn.cvut.cz/ap/	http://ctn.cvut.cz/ap/	PROPN
ap-965	700	34	acta	acta	PROPN
ap-965	700	35	polytechnica	polytechnica	PROPN
ap-965	700	36	vol	vol	NOUN
ap-965	700	37	.	.	PUNCT
ap-965	701	1	48	48	NUM
ap-965	701	2	no	no	NOUN
ap-965	701	3	.	.	PUNCT
ap-965	702	1	2/2008	2/2008	NOUN
ap-965	702	2	table	table	NOUN
ap-965	702	3	of	of	ADP
ap-965	702	4	contents	content	NOUN
ap-965	702	5	lectures	lecture	NOUN
ap-965	702	6	on	on	ADP
ap-965	702	7	classical	classical	ADJ
ap-965	702	8	integrable	integrable	ADJ
ap-965	702	9	systems	system	NOUN
ap-965	702	10	and	and	CCONJ
ap-965	702	11	gauge	gauge	NOUN
ap-965	702	12	field	field	NOUN
ap-965	702	13	theories	theory	NOUN
ap-965	702	14	3	3	NUM
ap-965	702	15	m.	m.	NOUN
ap-965	702	16	olshanetsky	olshanetsky	NOUN
ap-965	702	17	25	25	NUM
ap-965	702	18	years	year	NOUN
ap-965	702	19	of	of	ADP
ap-965	702	20	quantum	quantum	ADJ
ap-965	702	21	groups	group	NOUN
ap-965	702	22	:	:	PUNCT
ap-965	702	23	from	from	ADP
ap-965	702	24	definition	definition	NOUN
ap-965	702	25	to	to	ADP
ap-965	702	26	classification	classification	NOUN
ap-965	702	27	23	23	NUM
ap-965	702	28	a.	a.	NOUN
ap-965	702	29	stolin	stolin	NOUN
ap-965	702	30	correlation	correlation	NOUN
ap-965	702	31	functions	function	NOUN
ap-965	702	32	for	for	ADP
ap-965	702	33	lattice	lattice	PROPN
ap-965	702	34	integrable	integrable	ADJ
ap-965	702	35	models	model	NOUN
ap-965	702	36	27	27	NUM
ap-965	702	37	f.	f.	PROPN
ap-965	702	38	smirnov	smirnov	PROPN
ap-965	702	39	3ölectures	3ölectures	PROPN
ap-965	702	40	on	on	ADP
ap-965	702	41	noncommutative	noncommutative	ADJ
ap-965	702	42	geometry	geometry	NOUN
ap-965	702	43	34	34	NUM
ap-965	702	44	a.	a.	NOUN
ap-965	702	45	sitarz	sitarz	NOUN
ap-965	702	46	extended	extend	VERB
ap-965	702	47	supersymmetries	supersymmetry	NOUN
ap-965	702	48	in	in	ADP
ap-965	702	49	one	one	NUM
ap-965	702	50	dimension	dimension	NOUN
ap-965	702	51	56	56	NUM
ap-965	702	52	f.	f.	PROPN
ap-965	702	53	toppan	toppan	PROPN
ap-965	702	54	<	<	X
ap-965	702	55	<	<	X
ap-965	702	56	/ascii85encodepages	/ascii85encodepage	NOUN
ap-965	702	57	false	false	ADJ
ap-965	702	58	/allowtransparency	/allowtransparency	NOUN
ap-965	702	59	false	false	ADJ
ap-965	702	60	/autopositionepsfiles	/autopositionepsfile	NOUN
ap-965	702	61	true	true	ADJ
ap-965	702	62	/autorotatepages	/autorotatepage	NOUN
ap-965	702	63	/none	/none	PUNCT
ap-965	702	64	/binding	/binding	PUNCT
ap-965	702	65	/left	/left	ADJ
ap-965	703	1	/calgrayprofile	/calgrayprofile	VERB
ap-965	703	2	(	(	PUNCT
ap-965	703	3	dot	dot	NOUN
ap-965	703	4	gain	gain	NOUN
ap-965	703	5	20	20	NUM
ap-965	703	6	%	%	NOUN
ap-965	703	7	)	)	PUNCT
ap-965	703	8	/calrgbprofile	/calrgbprofile	PUNCT
ap-965	704	1	(	(	PUNCT
ap-965	704	2	srgb	srgb	PROPN
ap-965	704	3	iec61966	iec61966	NOUN
ap-965	704	4	-	-	PUNCT
ap-965	704	5	2.1	2.1	NUM
ap-965	704	6	)	)	PUNCT
ap-965	704	7	/calcmykprofile	/calcmykprofile	PUNCT
ap-965	705	1	(	(	PUNCT
ap-965	705	2	u.s	u.s	PROPN
ap-965	705	3	.	.	PROPN
ap-965	705	4	web	web	NOUN
ap-965	705	5	coated	coat	VERB
ap-965	705	6	\050swop\051	\050swop\051	ADJ
ap-965	705	7	v2	v2	NOUN
ap-965	705	8	)	)	PUNCT
ap-965	705	9	/srgbprofile	/srgbprofile	PUNCT
ap-965	705	10	(	(	PUNCT
ap-965	705	11	srgb	srgb	PROPN
ap-965	705	12	iec61966	iec61966	NOUN
ap-965	705	13	-	-	PUNCT
ap-965	705	14	2.1	2.1	NUM
ap-965	705	15	)	)	PUNCT
ap-965	705	16	/cannotembedfontpolicy	/cannotembedfontpolicy	PUNCT
ap-965	706	1	/error	/error	INTJ
ap-965	706	2	/compatibilitylevel	/compatibilitylevel	NOUN
ap-965	707	1	1.4	1.4	NUM
ap-965	707	2	/compressobjects	/compressobject	NOUN
ap-965	707	3	/tags	/tag	VERB
ap-965	707	4	/compresspages	/compresspage	NOUN
ap-965	707	5	true	true	ADJ
ap-965	707	6	/convertimagestoindexed	/convertimagestoindexed	ADJ
ap-965	707	7	true	true	ADJ
ap-965	707	8	/passthroughjpegimages	/passthroughjpegimage	NOUN
ap-965	707	9	true	true	ADJ
ap-965	707	10	/createjobticket	/createjobticket	NOUN
ap-965	707	11	false	false	ADJ
ap-965	707	12	/defaultrenderingintent	/defaultrenderingintent	NOUN
ap-965	708	1	/default	/default	PUNCT
ap-965	708	2	/detectblends	/detectblend	NOUN
ap-965	709	1	false	false	ADJ
ap-965	709	2	/detectcurves	/detectcurve	NOUN
ap-965	709	3	0.0000	0.0000	NUM
ap-965	709	4	/colorconversionstrategy	/colorconversionstrategy	NOUN
ap-965	709	5	/cmyk	/cmyk	PUNCT
ap-965	709	6	/dothumbnails	/dothumbnail	VERB
ap-965	710	1	false	false	ADJ
ap-965	710	2	/embedallfonts	/embedallfont	NOUN
ap-965	710	3	true	true	ADJ
ap-965	710	4	/embedopentype	/embedopentype	PUNCT
ap-965	710	5	false	false	ADJ
ap-965	710	6	/parseiccprofilesincomments	/parseiccprofilesincomment	NOUN
ap-965	710	7	true	true	ADJ
ap-965	710	8	/embedjoboptions	/embedjoboption	NOUN
ap-965	710	9	true	true	ADJ
ap-965	710	10	/dscreportinglevel	/dscreportinglevel	NOUN
ap-965	710	11	0	0	NUM
ap-965	710	12	/emitdscwarnings	/emitdscwarning	NOUN
ap-965	710	13	false	false	ADJ
ap-965	710	14	/endpage	/endpage	NOUN
ap-965	710	15	-1	-1	NOUN
ap-965	710	16	/imagememory	/imagememory	NUM
ap-965	710	17	1048576	1048576	NUM
ap-965	710	18	/lockdistillerparams	/lockdistillerparams	NOUN
ap-965	710	19	false	false	ADJ
ap-965	710	20	/maxsubsetpct	/maxsubsetpct	ADJ
ap-965	710	21	100	100	NUM
ap-965	710	22	/optimize	/optimize	NOUN
ap-965	710	23	true	true	ADJ
ap-965	710	24	/opm	/opm	NOUN
ap-965	710	25	1	1	NUM
ap-965	710	26	/parsedsccomments	/parsedsccomment	NOUN
ap-965	710	27	true	true	ADJ
ap-965	710	28	/parsedsccommentsfordocinfo	/parsedsccommentsfordocinfo	VERB
ap-965	710	29	true	true	ADJ
ap-965	710	30	/preservecopypage	/preservecopypage	NOUN
ap-965	710	31	true	true	ADJ
ap-965	710	32	/preservedicmykvalues	/preservedicmykvalue	NOUN
ap-965	710	33	true	true	ADJ
ap-965	710	34	/preserveepsinfo	/preserveepsinfo	NOUN
ap-965	710	35	true	true	ADJ
ap-965	710	36	/preserveflatness	/preserveflatness	NOUN
ap-965	710	37	true	true	ADJ
ap-965	710	38	/preservehalftoneinfo	/preservehalftoneinfo	PUNCT
ap-965	710	39	false	false	ADJ
ap-965	710	40	/preserveopicomments	/preserveopicomment	NOUN
ap-965	710	41	true	true	ADJ
ap-965	710	42	/preserveoverprintsettings	/preserveoverprintsetting	NOUN
ap-965	710	43	true	true	ADJ
ap-965	710	44	/startpage	/startpage	NOUN
ap-965	710	45	1	1	NUM
ap-965	710	46	/subsetfonts	/subsetfont	NOUN
ap-965	710	47	true	true	ADJ
ap-965	710	48	/transferfunctioninfo	/transferfunctioninfo	PUNCT
ap-965	710	49	/apply	/apply	PUNCT
ap-965	710	50	/ucrandbginfo	/ucrandbginfo	PUNCT
ap-965	711	1	/preserve	/preserve	NOUN
ap-965	711	2	/useprologue	/useprologue	NOUN
ap-965	711	3	false	false	ADJ
ap-965	711	4	/colorsettingsfile	/colorsettingsfile	NOUN
ap-965	711	5	(	(	PUNCT
ap-965	711	6	)	)	PUNCT
ap-965	711	7	/alwaysembed	/alwaysembe	VERB
ap-965	711	8	[	[	PUNCT
ap-965	711	9	true	true	ADJ
ap-965	711	10	]	]	PUNCT
ap-965	711	11	/neverembed	/neverembed	PUNCT
ap-965	712	1	[	[	PUNCT
ap-965	712	2	true	true	ADJ
ap-965	712	3	]	]	PUNCT
ap-965	712	4	/antialiascolorimages	/antialiascolorimages	X
ap-965	712	5	false	false	ADJ
ap-965	712	6	/cropcolorimages	/cropcolorimages	PUNCT
ap-965	712	7	true	true	ADJ
ap-965	712	8	/colorimageminresolution	/colorimageminresolution	PUNCT
ap-965	712	9	300	300	NUM
ap-965	712	10	/colorimageminresolutionpolicy	/colorimageminresolutionpolicy	NOUN
ap-965	712	11	/ok	/ok	ADJ
ap-965	713	1	/downsamplecolorimages	/downsamplecolorimage	VERB
ap-965	714	1	true	true	ADJ
ap-965	714	2	/colorimagedownsampletype	/colorimagedownsampletype	PUNCT
ap-965	714	3	/bicubic	/bicubic	NOUN
ap-965	714	4	/colorimageresolution	/colorimageresolution	NOUN
ap-965	715	1	300	300	NUM
ap-965	715	2	/colorimagedepth	/colorimagedepth	PRON
ap-965	715	3	-1	-1	INTJ
ap-965	715	4	/colorimagemindownsampledepth	/colorimagemindownsampledepth	SYM
ap-965	715	5	1	1	NUM
ap-965	715	6	/colorimagedownsamplethreshold	/colorimagedownsamplethreshold	SYM
ap-965	715	7	1.50000	1.50000	NUM
ap-965	715	8	/encodecolorimages	/encodecolorimage	NOUN
ap-965	715	9	true	true	ADJ
ap-965	715	10	/colorimagefilter	/colorimagefilter	PUNCT
ap-965	715	11	/dctencode	/dctencode	PUNCT
ap-965	716	1	/autofiltercolorimages	/autofiltercolorimage	NOUN
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ap-965	716	3	/colorimageautofilterstrategy	/colorimageautofilterstrategy	PUNCT
ap-965	716	4	/jpeg	/jpeg	PUNCT
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ap-965	717	2	<	<	X
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ap-965	718	1	[	[	X
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ap-965	718	6	]	]	PUNCT
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ap-965	719	1	[	[	X
ap-965	719	2	1	1	NUM
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ap-965	719	6	]	]	PUNCT
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ap-965	719	8	>	>	X
ap-965	719	9	/colorimagedict	/colorimagedict	PUNCT
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ap-965	720	2	<	<	X
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ap-965	720	5	/hsamples	/hsample	NOUN
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ap-965	721	6	]	]	PUNCT
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ap-965	726	4	/jpeg	/jpeg	PUNCT
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ap-965	727	1	<	<	X
ap-965	727	2	<	<	X
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ap-965	730	1	<	<	X
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ap-965	735	7	-1	-1	PUNCT
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ap-965	744	8	/deu	/deu	PUNCT
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ap-965	744	11	>	>	X
ap-965	744	12	/esp	/esp	PUNCT
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ap-965	744	15	>	>	X
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ap-965	744	19	>	>	X
ap-965	744	20	/fra	/fra	PUNCT
ap-965	745	1	<	<	X
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ap-965	745	3	>	>	X
ap-965	745	4	/gre	/gre	PUNCT
ap-965	745	5	<	<	X
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ap-965	745	7	>	>	X
ap-965	745	8	/heb	/heb	X
ap-965	745	9	<	<	X
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ap-965	745	11	>	>	X
ap-965	745	12	/hrv	/hrv	PROPN
ap-965	746	1	(	(	PUNCT
ap-965	746	2	za	za	PROPN
ap-965	746	3	stvaranje	stvaranje	PROPN
ap-965	746	4	adobe	adobe	PROPN
ap-965	746	5	pdf	pdf	PROPN
ap-965	746	6	dokumenata	dokumenata	PROPN
ap-965	746	7	najpogodnijih	najpogodnijih	PROPN
ap-965	746	8	za	za	PROPN
ap-965	746	9	visokokvalitetni	visokokvalitetni	VERB
ap-965	746	10	ispis	ispis	ADJ
ap-965	746	11	prije	prije	NOUN
ap-965	746	12	tiskanja	tiskanja	PROPN
ap-965	746	13	koristite	koristite	PROPN
ap-965	746	14	ove	ove	NOUN
ap-965	746	15	postavke	postavke	NOUN
ap-965	746	16	.	.	PUNCT
ap-965	747	1	stvoreni	stvoreni	ADJ
ap-965	747	2	pdf	pdf	NOUN
ap-965	747	3	dokumenti	dokumenti	PROPN
ap-965	747	4	mogu	mogu	PROPN
ap-965	747	5	se	se	X
ap-965	747	6	otvoriti	otvoriti	PROPN
ap-965	747	7	acrobat	acrobat	PROPN
ap-965	748	1	i	i	PRON
ap-965	748	2	adobe	adobe	PROPN
ap-965	748	3	reader	reader	PROPN
ap-965	748	4	5.0	5.0	NUM
ap-965	748	5	i	i	PRON
ap-965	748	6	kasnijim	kasnijim	VERB
ap-965	748	7	verzijama	verzijama	NOUN
ap-965	748	8	.	.	PUNCT
ap-965	748	9	)	)	PUNCT
ap-965	749	1	/hun	/hun	PUNCT
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ap-965	750	4	/ita	/ita	PUNCT
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ap-965	762	23	adobe	adobe	PROPN
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ap-965	779	1	/preserveediting	/preserveedite	VERB
ap-965	779	2	true	true	ADJ
ap-965	779	3	/untaggedcmykhandling	/untaggedcmykhandling	NOUN
ap-965	779	4	/leaveuntagged	/leaveuntagge	VERB
ap-965	779	5	/untaggedrgbhandling	/untaggedrgbhandling	NOUN
ap-965	779	6	/usedocumentprofile	/usedocumentprofile	INTJ
ap-965	779	7	/usedocumentbleed	/usedocumentbleed	NOUN
ap-965	780	1	false	false	ADJ
ap-965	780	2	>	>	PUNCT
ap-965	780	3	>	>	X
ap-965	780	4	]	]	PUNCT
ap-965	780	5	>	>	PUNCT
ap-965	780	6	>	>	X
ap-965	780	7	setdistillerparams	setdistillerparam	NOUN
ap-965	781	1	<	<	X
ap-965	781	2	<	<	X
ap-965	781	3	/hwresolution	/hwresolution	NOUN
ap-965	782	1	[	[	X
ap-965	782	2	2400	2400	NUM
ap-965	782	3	2400	2400	NUM
ap-965	782	4	]	]	PUNCT
ap-965	782	5	/pagesize	/pagesize	X
ap-965	783	1	[	[	X
ap-965	783	2	612.000	612.000	NUM
ap-965	783	3	792.000	792.000	NUM
ap-965	783	4	]	]	PUNCT
ap-965	783	5	>	>	PUNCT
ap-965	783	6	>	>	X
ap-965	783	7	setpagedevice	setpagedevice	PROPN