id	sid	tid	token	lemma	pos
ap-1855	1	1	acta	acta	PROPN
ap-1855	1	2	polytechnica	polytechnica	PROPN
ap-1855	1	3	doi:10.14311	doi:10.14311	PROPN
ap-1855	1	4	/	/	SYM
ap-1855	1	5	ap.2013.53.0433	ap.2013.53.0433	PROPN
ap-1855	1	6	acta	acta	PROPN
ap-1855	1	7	polytechnica	polytechnica	PROPN
ap-1855	1	8	53(5):433–437	53(5):433–437	NUM
ap-1855	1	9	,	,	PUNCT
ap-1855	1	10	2013	2013	NUM
ap-1855	1	11	©	©	PROPN
ap-1855	1	12	czech	czech	PROPN
ap-1855	1	13	technical	technical	PROPN
ap-1855	1	14	university	university	PROPN
ap-1855	1	15	in	in	ADP
ap-1855	1	16	prague	prague	PROPN
ap-1855	1	17	,	,	PUNCT
ap-1855	1	18	2013	2013	NUM
ap-1855	1	19	available	available	ADJ
ap-1855	1	20	online	online	ADV
ap-1855	1	21	at	at	ADP
ap-1855	1	22	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1855	1	23	on	on	ADP
ap-1855	1	24	renormalization	renormalization	NOUN
ap-1855	1	25	of	of	ADP
ap-1855	1	26	poisson	poisson	NOUN
ap-1855	1	27	–	–	PUNCT
ap-1855	1	28	lie	lie	NOUN
ap-1855	1	29	t	t	NOUN
ap-1855	1	30	-	-	PUNCT
ap-1855	1	31	plural	plural	ADJ
ap-1855	1	32	sigma	sigma	NOUN
ap-1855	1	33	models	model	NOUN
ap-1855	1	34	ladislav	ladislav	VERB
ap-1855	1	35	hlavatý∗	hlavatý∗	NOUN
ap-1855	1	36	,	,	PUNCT
ap-1855	1	37	josef	josef	PROPN
ap-1855	1	38	navrátil	navrátil	PROPN
ap-1855	1	39	,	,	PUNCT
ap-1855	1	40	libor	libor	PROPN
ap-1855	1	41	šnobl	šnobl	PROPN
ap-1855	1	42	department	department	PROPN
ap-1855	1	43	of	of	ADP
ap-1855	1	44	physics	physics	PROPN
ap-1855	1	45	,	,	PUNCT
ap-1855	1	46	faculty	faculty	NOUN
ap-1855	1	47	of	of	ADP
ap-1855	1	48	nuclear	nuclear	ADJ
ap-1855	1	49	sciences	science	NOUN
ap-1855	1	50	and	and	CCONJ
ap-1855	1	51	physical	physical	ADJ
ap-1855	1	52	engineering	engineering	NOUN
ap-1855	1	53	,	,	PUNCT
ap-1855	1	54	czech	czech	PROPN
ap-1855	1	55	technical	technical	PROPN
ap-1855	1	56	university	university	PROPN
ap-1855	1	57	in	in	ADP
ap-1855	1	58	prague	prague	PROPN
ap-1855	1	59	,	,	PUNCT
ap-1855	1	60	břehová	břehová	VERB
ap-1855	1	61	7	7	NUM
ap-1855	1	62	,	,	PUNCT
ap-1855	1	63	115	115	NUM
ap-1855	1	64	19	19	NUM
ap-1855	1	65	prague	prague	NOUN
ap-1855	1	66	1	1	NUM
ap-1855	1	67	,	,	PUNCT
ap-1855	1	68	czech	czech	PROPN
ap-1855	1	69	republic	republic	NOUN
ap-1855	1	70	∗	∗	NOUN
ap-1855	1	71	corresponding	correspond	VERB
ap-1855	1	72	author	author	NOUN
ap-1855	1	73	:	:	PUNCT
ap-1855	1	74	ladislav.hlavaty@fjfi.cvut.cz	ladislav.hlavaty@fjfi.cvut.cz	NOUN
ap-1855	1	75	abstract	abstract	ADJ
ap-1855	1	76	.	.	PUNCT
ap-1855	2	1	covariance	covariance	NOUN
ap-1855	2	2	of	of	ADP
ap-1855	2	3	the	the	DET
ap-1855	2	4	one	one	NUM
ap-1855	2	5	-	-	PUNCT
ap-1855	2	6	loop	loop	NOUN
ap-1855	2	7	renormalization	renormalization	NOUN
ap-1855	2	8	group	group	NOUN
ap-1855	2	9	equations	equation	NOUN
ap-1855	2	10	with	with	ADP
ap-1855	2	11	respect	respect	NOUN
ap-1855	2	12	to	to	ADP
ap-1855	2	13	poisson	poisson	NOUN
ap-1855	2	14	–	–	PUNCT
ap-1855	2	15	lie	lie	NOUN
ap-1855	2	16	t	t	PROPN
ap-1855	2	17	-	-	PUNCT
ap-1855	2	18	plurality	plurality	NOUN
ap-1855	2	19	of	of	ADP
ap-1855	2	20	sigma	sigma	NOUN
ap-1855	2	21	models	model	NOUN
ap-1855	2	22	is	be	AUX
ap-1855	2	23	discussed	discuss	VERB
ap-1855	2	24	.	.	PUNCT
ap-1855	3	1	the	the	DET
ap-1855	3	2	role	role	NOUN
ap-1855	3	3	of	of	ADP
ap-1855	3	4	ambiguities	ambiguity	NOUN
ap-1855	3	5	in	in	ADP
ap-1855	3	6	renormalization	renormalization	NOUN
ap-1855	3	7	group	group	NOUN
ap-1855	3	8	equations	equation	NOUN
ap-1855	3	9	of	of	ADP
ap-1855	3	10	poisson	poisson	NOUN
ap-1855	3	11	–	–	PUNCT
ap-1855	3	12	lie	lie	NOUN
ap-1855	3	13	sigma	sigma	NOUN
ap-1855	3	14	models	model	NOUN
ap-1855	3	15	with	with	ADP
ap-1855	3	16	truncated	truncated	ADJ
ap-1855	3	17	matrices	matrix	NOUN
ap-1855	3	18	of	of	ADP
ap-1855	3	19	parameters	parameter	NOUN
ap-1855	3	20	is	be	AUX
ap-1855	3	21	investigated	investigate	VERB
ap-1855	3	22	.	.	PUNCT
ap-1855	4	1	keywords	keyword	NOUN
ap-1855	4	2	:	:	PUNCT
ap-1855	4	3	sigma	sigma	PROPN
ap-1855	4	4	models	model	NOUN
ap-1855	4	5	,	,	PUNCT
ap-1855	4	6	string	string	NOUN
ap-1855	4	7	duality	duality	NOUN
ap-1855	4	8	,	,	PUNCT
ap-1855	4	9	renormalization	renormalization	NOUN
ap-1855	4	10	group	group	NOUN
ap-1855	4	11	.	.	PUNCT
ap-1855	5	1	ams	am	NOUN
ap-1855	5	2	mathematics	mathematics	PROPN
ap-1855	5	3	subject	subject	PROPN
ap-1855	5	4	classification	classification	NOUN
ap-1855	5	5	:	:	PUNCT
ap-1855	5	6	81t40	81t40	NUM
ap-1855	5	7	(	(	PUNCT
ap-1855	5	8	81t30	81t30	NUM
ap-1855	5	9	,	,	PUNCT
ap-1855	5	10	81t15	81t15	NUM
ap-1855	5	11	)	)	PUNCT
ap-1855	5	12	.	.	PUNCT
ap-1855	6	1	submitted	submit	VERB
ap-1855	6	2	:	:	PUNCT
ap-1855	6	3	20	20	NUM
ap-1855	6	4	may	may	PROPN
ap-1855	6	5	2013	2013	NUM
ap-1855	6	6	.	.	PUNCT
ap-1855	7	1	accepted	accept	VERB
ap-1855	7	2	:	:	PUNCT
ap-1855	7	3	31	31	NUM
ap-1855	7	4	may	may	PROPN
ap-1855	7	5	2013	2013	NUM
ap-1855	7	6	.	.	PUNCT
ap-1855	8	1	1	1	X
ap-1855	8	2	.	.	X
ap-1855	8	3	introduction	introduction	NOUN
ap-1855	8	4	one	one	NUM
ap-1855	8	5	-	-	PUNCT
ap-1855	8	6	loop	loop	NOUN
ap-1855	8	7	renormalizability	renormalizability	NOUN
ap-1855	8	8	of	of	ADP
ap-1855	8	9	poisson	poisson	PROPN
ap-1855	8	10	–	–	PUNCT
ap-1855	8	11	lie	lie	NOUN
ap-1855	8	12	dualizable	dualizable	NOUN
ap-1855	8	13	σ	σ	NOUN
ap-1855	8	14	-	-	PUNCT
ap-1855	8	15	models	model	NOUN
ap-1855	8	16	and	and	CCONJ
ap-1855	8	17	their	their	PRON
ap-1855	8	18	renormalization	renormalization	NOUN
ap-1855	8	19	group	group	NOUN
ap-1855	8	20	equations	equation	NOUN
ap-1855	8	21	were	be	AUX
ap-1855	8	22	derived	derive	VERB
ap-1855	8	23	in	in	ADP
ap-1855	8	24	[	[	X
ap-1855	8	25	1	1	NUM
ap-1855	8	26	]	]	PUNCT
ap-1855	8	27	.	.	PUNCT
ap-1855	9	1	covariance	covariance	NOUN
ap-1855	9	2	of	of	ADP
ap-1855	9	3	the	the	DET
ap-1855	9	4	renormalization	renormalization	NOUN
ap-1855	9	5	group	group	NOUN
ap-1855	9	6	equations	equation	NOUN
ap-1855	9	7	with	with	ADP
ap-1855	9	8	respect	respect	NOUN
ap-1855	9	9	to	to	ADP
ap-1855	9	10	poisson	poisson	NOUN
ap-1855	9	11	–	–	PUNCT
ap-1855	9	12	lie	lie	NOUN
ap-1855	9	13	t	t	PROPN
ap-1855	9	14	-	-	PUNCT
ap-1855	9	15	duality	duality	NOUN
ap-1855	9	16	was	be	AUX
ap-1855	9	17	proven	prove	VERB
ap-1855	9	18	in	in	ADP
ap-1855	9	19	[	[	X
ap-1855	9	20	2	2	NUM
ap-1855	9	21	]	]	PUNCT
ap-1855	9	22	.	.	PUNCT
ap-1855	10	1	this	this	PRON
ap-1855	10	2	suggests	suggest	VERB
ap-1855	10	3	that	that	SCONJ
ap-1855	10	4	also	also	ADV
ap-1855	10	5	properties	property	NOUN
ap-1855	10	6	of	of	ADP
ap-1855	10	7	quantum	quantum	PROPN
ap-1855	10	8	σ	σ	PROPN
ap-1855	10	9	-	-	PUNCT
ap-1855	10	10	models	model	NOUN
ap-1855	10	11	can	can	AUX
ap-1855	10	12	be	be	AUX
ap-1855	10	13	given	give	VERB
ap-1855	10	14	in	in	ADP
ap-1855	10	15	terms	term	NOUN
ap-1855	10	16	of	of	ADP
ap-1855	10	17	drinfel’d	drinfel’d	NOUN
ap-1855	10	18	doubles	double	VERB
ap-1855	10	19	and	and	CCONJ
ap-1855	10	20	not	not	PART
ap-1855	10	21	their	their	PRON
ap-1855	10	22	decompositions	decomposition	NOUN
ap-1855	10	23	into	into	ADP
ap-1855	10	24	manin	manin	PROPN
ap-1855	10	25	triples	triple	NOUN
ap-1855	10	26	.	.	PUNCT
ap-1855	11	1	this	this	PRON
ap-1855	11	2	was	be	AUX
ap-1855	11	3	indeed	indeed	ADV
ap-1855	11	4	claimed	claim	VERB
ap-1855	11	5	in	in	ADP
ap-1855	11	6	[	[	X
ap-1855	11	7	3	3	NUM
ap-1855	11	8	]	]	PUNCT
ap-1855	11	9	where	where	SCONJ
ap-1855	11	10	a	a	DET
ap-1855	11	11	renormalization	renormalization	NOUN
ap-1855	11	12	on	on	ADP
ap-1855	11	13	the	the	DET
ap-1855	11	14	level	level	NOUN
ap-1855	11	15	of	of	ADP
ap-1855	11	16	sigma	sigma	NOUN
ap-1855	11	17	models	model	NOUN
ap-1855	11	18	defined	define	VERB
ap-1855	11	19	on	on	ADP
ap-1855	11	20	drinfel’d	drinfel’d	PROPN
ap-1855	11	21	double	double	ADJ
ap-1855	11	22	was	be	AUX
ap-1855	11	23	proposed	propose	VERB
ap-1855	11	24	.	.	PUNCT
ap-1855	12	1	a	a	DET
ap-1855	12	2	natural	natural	ADJ
ap-1855	12	3	way	way	NOUN
ap-1855	12	4	to	to	PART
ap-1855	12	5	independently	independently	ADV
ap-1855	12	6	verify	verify	VERB
ap-1855	12	7	this	this	DET
ap-1855	12	8	claim	claim	NOUN
ap-1855	12	9	would	would	AUX
ap-1855	12	10	be	be	AUX
ap-1855	12	11	to	to	PART
ap-1855	12	12	extend	extend	VERB
ap-1855	12	13	the	the	DET
ap-1855	12	14	proof	proof	NOUN
ap-1855	12	15	of	of	ADP
ap-1855	12	16	covariance	covariance	NOUN
ap-1855	12	17	of	of	ADP
ap-1855	12	18	[	[	X
ap-1855	12	19	2	2	NUM
ap-1855	12	20	]	]	PUNCT
ap-1855	12	21	to	to	ADP
ap-1855	12	22	poisson	poisson	PROPN
ap-1855	12	23	–	–	PUNCT
ap-1855	12	24	lie	lie	NOUN
ap-1855	12	25	t	t	NOUN
ap-1855	12	26	-	-	PUNCT
ap-1855	12	27	plurality	plurality	NOUN
ap-1855	12	28	.	.	PUNCT
ap-1855	13	1	unfortunately	unfortunately	ADV
ap-1855	13	2	,	,	PUNCT
ap-1855	13	3	transformation	transformation	NOUN
ap-1855	13	4	properties	property	NOUN
ap-1855	13	5	of	of	ADP
ap-1855	13	6	the	the	DET
ap-1855	13	7	structure	structure	NOUN
ap-1855	13	8	constants	constant	NOUN
ap-1855	13	9	and	and	CCONJ
ap-1855	13	10	the	the	DET
ap-1855	13	11	matrix	matrix	NOUN
ap-1855	13	12	m	m	NOUN
ap-1855	13	13	(	(	PUNCT
ap-1855	13	14	parameters	parameter	NOUN
ap-1855	13	15	of	of	ADP
ap-1855	13	16	the	the	DET
ap-1855	13	17	models	model	NOUN
ap-1855	13	18	)	)	PUNCT
ap-1855	13	19	under	under	ADP
ap-1855	13	20	the	the	DET
ap-1855	13	21	poisson	poisson	NOUN
ap-1855	13	22	–	–	PUNCT
ap-1855	13	23	lie	lie	NOUN
ap-1855	13	24	t	t	PROPN
ap-1855	13	25	-	-	PUNCT
ap-1855	13	26	plurality	plurality	NOUN
ap-1855	13	27	are	be	AUX
ap-1855	13	28	much	much	ADV
ap-1855	13	29	more	more	ADV
ap-1855	13	30	complicated	complicated	ADJ
ap-1855	13	31	than	than	ADP
ap-1855	13	32	in	in	ADP
ap-1855	13	33	the	the	DET
ap-1855	13	34	case	case	NOUN
ap-1855	13	35	of	of	ADP
ap-1855	13	36	t	t	PROPN
ap-1855	13	37	-	-	PUNCT
ap-1855	13	38	duality	duality	NOUN
ap-1855	13	39	.	.	PUNCT
ap-1855	14	1	that	that	PRON
ap-1855	14	2	’s	’	VERB
ap-1855	14	3	why	why	SCONJ
ap-1855	14	4	we	we	PRON
ap-1855	14	5	decided	decide	VERB
ap-1855	14	6	to	to	PART
ap-1855	14	7	check	check	VERB
ap-1855	14	8	it	it	PRON
ap-1855	14	9	first	first	ADV
ap-1855	14	10	on	on	ADP
ap-1855	14	11	examples	example	NOUN
ap-1855	14	12	using	use	VERB
ap-1855	14	13	our	our	PRON
ap-1855	14	14	lists	list	NOUN
ap-1855	14	15	of	of	ADP
ap-1855	14	16	4and	4and	NOUN
ap-1855	14	17	6	6	NUM
ap-1855	14	18	-	-	PUNCT
ap-1855	14	19	dimensional	dimensional	ADJ
ap-1855	14	20	drinfel’d	drinfel’d	NOUN
ap-1855	14	21	doubles	double	VERB
ap-1855	14	22	and	and	CCONJ
ap-1855	14	23	their	their	PRON
ap-1855	14	24	decompositions	decomposition	NOUN
ap-1855	14	25	into	into	ADP
ap-1855	14	26	manin	manin	PROPN
ap-1855	14	27	triples	triple	NOUN
ap-1855	14	28	[	[	X
ap-1855	14	29	4	4	NUM
ap-1855	14	30	,	,	PUNCT
ap-1855	14	31	5	5	NUM
ap-1855	14	32	]	]	PUNCT
ap-1855	14	33	.	.	PUNCT
ap-1855	15	1	it	it	PRON
ap-1855	15	2	turned	turn	VERB
ap-1855	15	3	out	out	ADP
ap-1855	15	4	that	that	SCONJ
ap-1855	15	5	the	the	DET
ap-1855	15	6	renormalization	renormalization	NOUN
ap-1855	15	7	group	group	NOUN
ap-1855	15	8	equations	equation	NOUN
ap-1855	15	9	of	of	ADP
ap-1855	15	10	[	[	X
ap-1855	15	11	1	1	NUM
ap-1855	15	12	,	,	PUNCT
ap-1855	15	13	2	2	NUM
ap-1855	15	14	]	]	PUNCT
ap-1855	15	15	are	be	AUX
ap-1855	15	16	indeed	indeed	ADV
ap-1855	15	17	invariant	invariant	ADJ
ap-1855	15	18	under	under	ADP
ap-1855	15	19	poisson	poisson	NOUN
ap-1855	15	20	–	–	PUNCT
ap-1855	15	21	lie	lie	NOUN
ap-1855	15	22	t	t	NOUN
ap-1855	15	23	-	-	PUNCT
ap-1855	15	24	plurality	plurality	NOUN
ap-1855	15	25	.	.	PUNCT
ap-1855	16	1	the	the	DET
ap-1855	16	2	equivalence	equivalence	NOUN
ap-1855	16	3	of	of	ADP
ap-1855	16	4	the	the	DET
ap-1855	16	5	renormalization	renormalization	NOUN
ap-1855	16	6	flows	flow	NOUN
ap-1855	16	7	of	of	ADP
ap-1855	16	8	the	the	DET
ap-1855	16	9	models	model	NOUN
ap-1855	16	10	on	on	ADP
ap-1855	16	11	the	the	DET
ap-1855	16	12	poisson	poisson	NOUN
ap-1855	16	13	–	–	PUNCT
ap-1855	16	14	lie	lie	NOUN
ap-1855	16	15	group	group	NOUN
ap-1855	16	16	of	of	ADP
ap-1855	16	17	[	[	X
ap-1855	16	18	2	2	NUM
ap-1855	16	19	]	]	PUNCT
ap-1855	16	20	and	and	CCONJ
ap-1855	16	21	on	on	ADP
ap-1855	16	22	the	the	DET
ap-1855	16	23	drinfel’d	drinfel’d	NOUN
ap-1855	16	24	double	double	NOUN
ap-1855	16	25	[	[	X
ap-1855	16	26	3	3	X
ap-1855	16	27	]	]	PUNCT
ap-1855	16	28	also	also	ADV
ap-1855	16	29	holds	hold	VERB
ap-1855	16	30	in	in	ADP
ap-1855	16	31	all	all	DET
ap-1855	16	32	cases	case	NOUN
ap-1855	16	33	studied	study	VERB
ap-1855	16	34	so	so	ADV
ap-1855	16	35	far	far	ADV
ap-1855	16	36	provided	provide	VERB
ap-1855	16	37	one	one	NUM
ap-1855	16	38	is	be	AUX
ap-1855	16	39	careful	careful	ADJ
ap-1855	16	40	in	in	ADP
ap-1855	16	41	interpreting	interpreting	NOUN
ap-1855	16	42	of	of	ADP
ap-1855	16	43	the	the	DET
ap-1855	16	44	formulas	formula	NOUN
ap-1855	16	45	in	in	ADP
ap-1855	16	46	different	different	ADJ
ap-1855	16	47	parts	part	NOUN
ap-1855	16	48	of	of	ADP
ap-1855	16	49	[	[	X
ap-1855	16	50	3	3	NUM
ap-1855	16	51	]	]	PUNCT
ap-1855	16	52	,	,	PUNCT
ap-1855	16	53	see	see	VERB
ap-1855	16	54	section	section	NOUN
ap-1855	16	55	3	3	NUM
ap-1855	16	56	.	.	PUNCT
ap-1855	16	57	an	an	DET
ap-1855	16	58	assumption	assumption	NOUN
ap-1855	16	59	in	in	ADP
ap-1855	16	60	the	the	DET
ap-1855	16	61	renormalizability	renormalizability	NOUN
ap-1855	16	62	proof	proof	NOUN
ap-1855	16	63	[	[	X
ap-1855	16	64	1	1	X
ap-1855	16	65	]	]	PUNCT
ap-1855	16	66	is	be	AUX
ap-1855	16	67	that	that	SCONJ
ap-1855	16	68	there	there	PRON
ap-1855	16	69	is	be	VERB
ap-1855	16	70	no	no	DET
ap-1855	16	71	a	a	DET
ap-1855	16	72	priori	priori	ADJ
ap-1855	16	73	restriction	restriction	NOUN
ap-1855	16	74	on	on	ADP
ap-1855	16	75	elements	element	NOUN
ap-1855	16	76	of	of	ADP
ap-1855	16	77	matrix	matrix	NOUN
ap-1855	16	78	m	m	VERB
ap-1855	16	79	that	that	PRON
ap-1855	16	80	together	together	ADV
ap-1855	16	81	with	with	ADP
ap-1855	16	82	the	the	DET
ap-1855	16	83	structure	structure	NOUN
ap-1855	16	84	of	of	ADP
ap-1855	16	85	the	the	DET
ap-1855	16	86	manin	manin	PROPN
ap-1855	16	87	triple	triple	NOUN
ap-1855	16	88	determine	determine	VERB
ap-1855	16	89	the	the	DET
ap-1855	16	90	models	model	NOUN
ap-1855	16	91	.	.	PUNCT
ap-1855	17	1	it	it	PRON
ap-1855	17	2	was	be	AUX
ap-1855	17	3	noted	note	VERB
ap-1855	17	4	in	in	ADP
ap-1855	17	5	[	[	X
ap-1855	17	6	2	2	NUM
ap-1855	17	7	,	,	PUNCT
ap-1855	17	8	6	6	NUM
ap-1855	17	9	]	]	PUNCT
ap-1855	17	10	that	that	SCONJ
ap-1855	17	11	the	the	DET
ap-1855	17	12	renormalization	renormalization	NOUN
ap-1855	17	13	group	group	NOUN
ap-1855	17	14	equations	equation	NOUN
ap-1855	17	15	need	need	AUX
ap-1855	17	16	not	not	PART
ap-1855	17	17	be	be	AUX
ap-1855	17	18	consistent	consistent	ADJ
ap-1855	17	19	with	with	ADP
ap-1855	17	20	truncation	truncation	NOUN
ap-1855	17	21	of	of	ADP
ap-1855	17	22	the	the	DET
ap-1855	17	23	parameter	parameter	NOUN
ap-1855	17	24	space	space	NOUN
ap-1855	17	25	.	.	PUNCT
ap-1855	18	1	on	on	ADP
ap-1855	18	2	the	the	DET
ap-1855	18	3	other	other	ADJ
ap-1855	18	4	hand	hand	NOUN
ap-1855	18	5	there	there	PRON
ap-1855	18	6	is	be	VERB
ap-1855	18	7	some	some	DET
ap-1855	18	8	freedom	freedom	NOUN
ap-1855	18	9	in	in	ADP
ap-1855	18	10	the	the	DET
ap-1855	18	11	renormalization	renormalization	NOUN
ap-1855	18	12	group	group	NOUN
ap-1855	18	13	equations	equation	NOUN
ap-1855	18	14	and	and	CCONJ
ap-1855	18	15	we	we	PRON
ap-1855	18	16	are	be	AUX
ap-1855	18	17	going	go	VERB
ap-1855	18	18	to	to	PART
ap-1855	18	19	show	show	VERB
ap-1855	18	20	how	how	SCONJ
ap-1855	18	21	they	they	PRON
ap-1855	18	22	can	can	AUX
ap-1855	18	23	be	be	AUX
ap-1855	18	24	used	use	VERB
ap-1855	18	25	in	in	ADP
ap-1855	18	26	the	the	DET
ap-1855	18	27	choice	choice	NOUN
ap-1855	18	28	of	of	ADP
ap-1855	18	29	one	one	NUM
ap-1855	18	30	-	-	PUNCT
ap-1855	18	31	loop	loop	NOUN
ap-1855	18	32	β	β	NOUN
ap-1855	18	33	functions	function	NOUN
ap-1855	18	34	for	for	ADP
ap-1855	18	35	a	a	DET
ap-1855	18	36	given	give	VERB
ap-1855	18	37	truncation	truncation	NOUN
ap-1855	18	38	.	.	PUNCT
ap-1855	19	1	2	2	X
ap-1855	19	2	.	.	X
ap-1855	19	3	review	review	NOUN
ap-1855	19	4	of	of	ADP
ap-1855	19	5	poisson	poisson	NOUN
ap-1855	19	6	–	–	PUNCT
ap-1855	19	7	lie	lie	NOUN
ap-1855	19	8	t	t	PROPN
ap-1855	19	9	-	-	PUNCT
ap-1855	19	10	plurality	plurality	NOUN
ap-1855	19	11	for	for	ADP
ap-1855	19	12	simplicity	simplicity	NOUN
ap-1855	19	13	we	we	PRON
ap-1855	19	14	will	will	AUX
ap-1855	19	15	consider	consider	VERB
ap-1855	19	16	σ	σ	NOUN
ap-1855	19	17	-	-	PUNCT
ap-1855	19	18	models	model	NOUN
ap-1855	19	19	without	without	ADP
ap-1855	19	20	spectator	spectator	NOUN
ap-1855	19	21	fields	field	NOUN
ap-1855	19	22	,	,	PUNCT
ap-1855	19	23	i.e.	i.e.	X
ap-1855	19	24	with	with	ADP
ap-1855	19	25	target	target	NOUN
ap-1855	19	26	manifold	manifold	ADJ
ap-1855	19	27	isomorphic	isomorphic	ADJ
ap-1855	19	28	to	to	ADP
ap-1855	19	29	a	a	DET
ap-1855	19	30	group	group	NOUN
ap-1855	19	31	.	.	PUNCT
ap-1855	20	1	let	let	VERB
ap-1855	20	2	g	g	PRON
ap-1855	20	3	be	be	AUX
ap-1855	20	4	a	a	DET
ap-1855	20	5	lie	lie	NOUN
ap-1855	20	6	group	group	NOUN
ap-1855	20	7	and	and	CCONJ
ap-1855	20	8	g	g	ADP
ap-1855	20	9	its	its	PRON
ap-1855	20	10	lie	lie	NOUN
ap-1855	20	11	algebra	algebra	NOUN
ap-1855	20	12	.	.	PUNCT
ap-1855	21	1	the	the	DET
ap-1855	21	2	σ	σ	NOUN
ap-1855	21	3	-	-	PUNCT
ap-1855	21	4	model	model	NOUN
ap-1855	21	5	on	on	ADP
ap-1855	21	6	group	group	PROPN
ap-1855	21	7	g	g	PROPN
ap-1855	21	8	is	be	AUX
ap-1855	21	9	given	give	VERB
ap-1855	21	10	by	by	ADP
ap-1855	21	11	the	the	DET
ap-1855	21	12	classical	classical	ADJ
ap-1855	21	13	action	action	NOUN
ap-1855	21	14	se	se	PROPN
ap-1855	22	1	[	[	X
ap-1855	22	2	g	g	X
ap-1855	22	3	]	]	X
ap-1855	22	4	=	=	SYM
ap-1855	22	5	∫	∫	PROPN
ap-1855	22	6	d2xr−(g)aeab(g)r+(g)b	d2xr−(g)aeab(g)r+(g)b	PROPN
ap-1855	22	7	,	,	PUNCT
ap-1855	22	8	(	(	PUNCT
ap-1855	22	9	1	1	X
ap-1855	22	10	)	)	PUNCT
ap-1855	22	11	where	where	SCONJ
ap-1855	22	12	g	g	NOUN
ap-1855	22	13	:	:	PUNCT
ap-1855	22	14	r2	r2	PROPN
ap-1855	22	15	→	→	SYM
ap-1855	22	16	g	g	PROPN
ap-1855	22	17	,	,	PUNCT
ap-1855	22	18	(	(	PUNCT
ap-1855	22	19	σ+	σ+	X
ap-1855	22	20	,	,	PUNCT
ap-1855	22	21	σ−	σ−	PROPN
ap-1855	22	22	)	)	PUNCT
ap-1855	22	23	7→	7→	NUM
ap-1855	22	24	g(σ+	g(σ+	NOUN
ap-1855	22	25	,	,	PUNCT
ap-1855	22	26	σ−	σ−	PROPN
ap-1855	22	27	)	)	PUNCT
ap-1855	22	28	,	,	PUNCT
ap-1855	22	29	r±(g)a	r±(g)a	NOUN
ap-1855	22	30	are	be	AUX
ap-1855	22	31	components	component	NOUN
ap-1855	22	32	of	of	ADP
ap-1855	22	33	the	the	DET
ap-1855	22	34	right	right	ADJ
ap-1855	22	35	-	-	PUNCT
ap-1855	22	36	invariant	invariant	ADJ
ap-1855	22	37	fields	field	NOUN
ap-1855	22	38	∂±gg−1	∂±gg−1	PROPN
ap-1855	22	39	in	in	ADP
ap-1855	22	40	the	the	DET
ap-1855	22	41	basis	basis	NOUN
ap-1855	22	42	ta	ta	ADP
ap-1855	22	43	of	of	ADP
ap-1855	22	44	the	the	DET
ap-1855	22	45	lie	lie	NOUN
ap-1855	22	46	algebra	algebra	VERB
ap-1855	22	47	g	g	NOUN
ap-1855	22	48	,	,	PUNCT
ap-1855	22	49	∂±gg	∂±gg	PROPN
ap-1855	22	50	−1	−1	NOUN
ap-1855	22	51	=	=	PUNCT
ap-1855	22	52	(	(	PUNCT
ap-1855	22	53	r±(g))ata	r±(g))ata	PROPN
ap-1855	22	54	∈	∈	PROPN
ap-1855	22	55	g	g	NOUN
ap-1855	22	56	and	and	CCONJ
ap-1855	22	57	e(g	e(g	PROPN
ap-1855	22	58	)	)	PUNCT
ap-1855	22	59	is	be	AUX
ap-1855	22	60	a	a	DET
ap-1855	22	61	certain	certain	ADJ
ap-1855	22	62	bilinear	bilinear	NOUN
ap-1855	22	63	form	form	NOUN
ap-1855	22	64	on	on	ADP
ap-1855	22	65	the	the	DET
ap-1855	22	66	lie	lie	NOUN
ap-1855	22	67	algebra	algebra	VERB
ap-1855	22	68	g	g	NOUN
ap-1855	22	69	,	,	PUNCT
ap-1855	22	70	to	to	PART
ap-1855	22	71	be	be	AUX
ap-1855	22	72	specified	specify	VERB
ap-1855	22	73	below	below	ADV
ap-1855	22	74	.	.	PUNCT
ap-1855	23	1	the	the	DET
ap-1855	23	2	σ	σ	NOUN
ap-1855	23	3	-	-	PUNCT
ap-1855	23	4	models	model	NOUN
ap-1855	23	5	that	that	PRON
ap-1855	23	6	can	can	AUX
ap-1855	23	7	be	be	AUX
ap-1855	23	8	transformed	transform	VERB
ap-1855	23	9	by	by	ADP
ap-1855	23	10	the	the	DET
ap-1855	23	11	poisson	poisson	NOUN
ap-1855	23	12	–	–	PUNCT
ap-1855	23	13	lie	lie	NOUN
ap-1855	23	14	t	t	PROPN
ap-1855	23	15	-	-	PUNCT
ap-1855	23	16	duality	duality	NOUN
ap-1855	23	17	are	be	AUX
ap-1855	23	18	formulated	formulate	VERB
ap-1855	23	19	(	(	PUNCT
ap-1855	23	20	see	see	VERB
ap-1855	23	21	[	[	X
ap-1855	23	22	7	7	NUM
ap-1855	23	23	,	,	PUNCT
ap-1855	23	24	8	8	NUM
ap-1855	23	25	]	]	PUNCT
ap-1855	23	26	)	)	PUNCT
ap-1855	23	27	by	by	ADP
ap-1855	23	28	virtue	virtue	NOUN
ap-1855	23	29	of	of	ADP
ap-1855	23	30	the	the	DET
ap-1855	23	31	drinfel’d	drinfel’d	NOUN
ap-1855	23	32	double	double	PROPN
ap-1855	23	33	d	d	PROPN
ap-1855	23	34	≡	≡	PROPN
ap-1855	23	35	(	(	PUNCT
ap-1855	23	36	g|g̃	g|g̃	PROPN
ap-1855	23	37	)	)	PUNCT
ap-1855	23	38	—	—	PUNCT
ap-1855	23	39	a	a	DET
ap-1855	23	40	lie	lie	NOUN
ap-1855	23	41	group	group	NOUN
ap-1855	23	42	whose	whose	DET
ap-1855	23	43	lie	lie	NOUN
ap-1855	23	44	algebra	algebra	NOUN
ap-1855	23	45	d	d	PROPN
ap-1855	23	46	admits	admit	VERB
ap-1855	23	47	a	a	DET
ap-1855	23	48	decomposition	decomposition	NOUN
ap-1855	24	1	d	d	NOUN
ap-1855	24	2	=	=	SYM
ap-1855	24	3	g	g	PROPN
ap-1855	24	4	u	u	NOUN
ap-1855	24	5	g̃	g̃	PROPN
ap-1855	24	6	into	into	ADP
ap-1855	24	7	a	a	DET
ap-1855	24	8	pair	pair	NOUN
ap-1855	24	9	of	of	ADP
ap-1855	24	10	subalgebras	subalgebras	PROPN
ap-1855	24	11	maximally	maximally	ADV
ap-1855	24	12	isotropic	isotropic	VERB
ap-1855	24	13	with	with	ADP
ap-1855	24	14	respect	respect	NOUN
ap-1855	24	15	to	to	ADP
ap-1855	24	16	a	a	DET
ap-1855	24	17	symmetric	symmetric	ADJ
ap-1855	24	18	ad	ad	NOUN
ap-1855	24	19	-	-	PUNCT
ap-1855	24	20	invariant	invariant	ADJ
ap-1855	24	21	nondegenerate	nondegenerate	NOUN
ap-1855	24	22	bilinear	bilinear	NOUN
ap-1855	24	23	form	form	NOUN
ap-1855	24	24	〈	〈	PROPN
ap-1855	24	25	.	.	PUNCT
ap-1855	25	1	,	,	PUNCT
ap-1855	25	2	.	.	PUNCT
ap-1855	26	1	〉	〉	NOUN
ap-1855	26	2	.	.	PUNCT
ap-1855	27	1	these	these	DET
ap-1855	27	2	decompositions	decomposition	NOUN
ap-1855	27	3	are	be	AUX
ap-1855	27	4	called	call	VERB
ap-1855	27	5	manin	manin	PROPN
ap-1855	27	6	triples	triple	NOUN
ap-1855	27	7	.	.	PUNCT
ap-1855	28	1	the	the	DET
ap-1855	28	2	matrices	matrix	NOUN
ap-1855	28	3	e(g	e(g	PROPN
ap-1855	28	4	)	)	PUNCT
ap-1855	28	5	for	for	ADP
ap-1855	28	6	such	such	ADJ
ap-1855	28	7	σ	σ	NOUN
ap-1855	28	8	-	-	PUNCT
ap-1855	28	9	models	model	NOUN
ap-1855	28	10	are	be	AUX
ap-1855	28	11	of	of	ADP
ap-1855	28	12	the	the	DET
ap-1855	28	13	form	form	NOUN
ap-1855	28	14	e(g	e(g	PROPN
ap-1855	28	15	)	)	PUNCT
ap-1855	29	1	=	=	PUNCT
ap-1855	29	2	(	(	PUNCT
ap-1855	29	3	m	m	VERB
ap-1855	29	4	+	+	X
ap-1855	29	5	π(g))−1	π(g))−1	VERB
ap-1855	29	6	,	,	PUNCT
ap-1855	29	7	π(g	π(g	PROPN
ap-1855	29	8	)	)	PUNCT
ap-1855	29	9	=	=	SYM
ap-1855	29	10	b(g	b(g	PROPN
ap-1855	29	11	)	)	PUNCT
ap-1855	29	12	·	·	PUNCT
ap-1855	29	13	a−1(g	a−1(g	PROPN
ap-1855	29	14	)	)	PUNCT
ap-1855	29	15	=	=	PUNCT
ap-1855	30	1	−π(g)t	−π(g)t	NOUN
ap-1855	30	2	,	,	PUNCT
ap-1855	30	3	(	(	PUNCT
ap-1855	30	4	2	2	X
ap-1855	30	5	)	)	PUNCT
ap-1855	30	6	wherem	wherem	PROPN
ap-1855	30	7	is	be	AUX
ap-1855	30	8	a	a	DET
ap-1855	30	9	constant	constant	ADJ
ap-1855	30	10	matrix	matrix	NOUN
ap-1855	30	11	,	,	PUNCT
ap-1855	30	12	the	the	DET
ap-1855	30	13	superscript	superscript	PROPN
ap-1855	30	14	t	t	PROPN
ap-1855	30	15	means	mean	VERB
ap-1855	30	16	matrix	matrix	NOUN
ap-1855	30	17	transposition	transposition	NOUN
ap-1855	30	18	and	and	CCONJ
ap-1855	30	19	a(g	a(g	PROPN
ap-1855	30	20	)	)	PUNCT
ap-1855	30	21	,	,	PUNCT
ap-1855	30	22	b(g	b(g	PROPN
ap-1855	30	23	)	)	PUNCT
ap-1855	30	24	are	be	AUX
ap-1855	30	25	submatrices	submatrice	NOUN
ap-1855	30	26	of	of	ADP
ap-1855	30	27	the	the	DET
ap-1855	30	28	adjoint	adjoint	PROPN
ap-1855	30	29	representation	representation	NOUN
ap-1855	30	30	of	of	ADP
ap-1855	30	31	the	the	DET
ap-1855	30	32	subgroup	subgroup	NOUN
ap-1855	30	33	g	g	PROPN
ap-1855	30	34	on	on	ADP
ap-1855	30	35	the	the	DET
ap-1855	30	36	lie	lie	NOUN
ap-1855	30	37	algebra	algebra	NOUN
ap-1855	30	38	d	d	PROPN
ap-1855	30	39	defined	define	VERB
ap-1855	30	40	as	as	ADP
ap-1855	30	41	gtg−1	gtg−1	PROPN
ap-1855	30	42	≡	≡	PROPN
ap-1855	30	43	ad(g	ad(g	PUNCT
ap-1855	30	44	)	)	PUNCT
ap-1855	30	45	.	.	PUNCT
ap-1855	31	1	t	t	NOUN
ap-1855	31	2	=	=	SYM
ap-1855	31	3	a−1(g	a−1(g	PROPN
ap-1855	31	4	)	)	PUNCT
ap-1855	31	5	·	·	PUNCT
ap-1855	32	1	t	t	X
ap-1855	32	2	,	,	PUNCT
ap-1855	32	3	gt̃	gt̃	VERB
ap-1855	32	4	g−1	g−1	PROPN
ap-1855	32	5	≡	≡	PROPN
ap-1855	32	6	ad(g	ad(g	PUNCT
ap-1855	32	7	)	)	PUNCT
ap-1855	32	8	.	.	PUNCT
ap-1855	33	1	t̃	t̃	NOUN
ap-1855	33	2	=	=	SYM
ap-1855	33	3	bt(g	bt(g	X
ap-1855	33	4	)	)	PUNCT
ap-1855	33	5	·	·	PUNCT
ap-1855	34	1	t	t	NOUN
ap-1855	34	2	+	+	CCONJ
ap-1855	34	3	at(g	at(g	NOUN
ap-1855	34	4	)	)	PUNCT
ap-1855	34	5	·	·	PUNCT
ap-1855	35	1	t̃	t̃	PROPN
ap-1855	35	2	,	,	PUNCT
ap-1855	35	3	(	(	PUNCT
ap-1855	35	4	3	3	X
ap-1855	35	5	)	)	PUNCT
ap-1855	35	6	433	433	NUM
ap-1855	35	7	http://dx.doi.org/10.14311/ap.2013.53.0433	http://dx.doi.org/10.14311/ap.2013.53.0433	ADP
ap-1855	35	8	http://ojs.cvut.cz/ojs/index.php/ap	http://ojs.cvut.cz/ojs/index.php/ap	PROPN
ap-1855	35	9	l.	l.	PROPN
ap-1855	35	10	hlavatý	hlavatý	PROPN
ap-1855	35	11	,	,	PUNCT
ap-1855	35	12	j.	j.	PROPN
ap-1855	35	13	navrátil	navrátil	PROPN
ap-1855	35	14	,	,	PUNCT
ap-1855	35	15	l.	l.	PROPN
ap-1855	35	16	šnobl	šnobl	PROPN
ap-1855	35	17	acta	acta	PROPN
ap-1855	35	18	polytechnica	polytechnica	PROPN
ap-1855	35	19	where	where	SCONJ
ap-1855	35	20	ta	ta	PROPN
ap-1855	35	21	and	and	CCONJ
ap-1855	35	22	t̃	t̃	PROPN
ap-1855	35	23	a	a	PRON
ap-1855	35	24	are	be	AUX
ap-1855	35	25	elements	element	NOUN
ap-1855	35	26	of	of	ADP
ap-1855	35	27	dual	dual	ADJ
ap-1855	35	28	bases	basis	NOUN
ap-1855	35	29	of	of	ADP
ap-1855	35	30	g	g	PROPN
ap-1855	35	31	and	and	CCONJ
ap-1855	35	32	g̃	g̃	PROPN
ap-1855	35	33	,	,	PUNCT
ap-1855	35	34	i.e.	i.e.	X
ap-1855	35	35	〈	〈	PROPN
ap-1855	35	36	ta	ta	PROPN
ap-1855	35	37	,	,	PUNCT
ap-1855	35	38	tb	tb	ADP
ap-1855	35	39	〉	〉	PROPN
ap-1855	35	40	=	=	SYM
ap-1855	35	41	0	0	PROPN
ap-1855	35	42	,	,	PUNCT
ap-1855	35	43	〈	〈	PROPN
ap-1855	35	44	t̃	t̃	PROPN
ap-1855	35	45	a	a	PRON
ap-1855	35	46	,	,	PUNCT
ap-1855	35	47	t̃	t̃	PROPN
ap-1855	35	48	b	b	PROPN
ap-1855	35	49	〉	〉	PROPN
ap-1855	35	50	=	=	SYM
ap-1855	35	51	0	0	NUM
ap-1855	35	52	,	,	PUNCT
ap-1855	35	53	〈	〈	PROPN
ap-1855	35	54	ta	ta	X
ap-1855	35	55	,	,	PUNCT
ap-1855	35	56	t̃	t̃	PROPN
ap-1855	35	57	b	b	PROPN
ap-1855	35	58	〉	〉	PROPN
ap-1855	35	59	=	=	PUNCT
ap-1855	35	60	δb	δb	AUX
ap-1855	35	61	a.	a.	NOUN
ap-1855	35	62	the	the	DET
ap-1855	35	63	origin	origin	NOUN
ap-1855	35	64	of	of	ADP
ap-1855	35	65	the	the	DET
ap-1855	35	66	poisson	poisson	NOUN
ap-1855	35	67	–	–	PUNCT
ap-1855	35	68	lie	lie	NOUN
ap-1855	35	69	t	t	PROPN
ap-1855	35	70	-	-	PUNCT
ap-1855	35	71	plurality	plurality	NOUN
ap-1855	35	72	[	[	X
ap-1855	35	73	7	7	NUM
ap-1855	35	74	,	,	PUNCT
ap-1855	35	75	9	9	NUM
ap-1855	35	76	]	]	PUNCT
ap-1855	35	77	lies	lie	VERB
ap-1855	35	78	in	in	ADP
ap-1855	35	79	the	the	DET
ap-1855	35	80	fact	fact	NOUN
ap-1855	35	81	that	that	SCONJ
ap-1855	35	82	in	in	ADP
ap-1855	35	83	general	general	ADJ
ap-1855	35	84	several	several	ADJ
ap-1855	35	85	decompositions	decomposition	NOUN
ap-1855	35	86	(	(	PUNCT
ap-1855	35	87	manin	manin	NOUN
ap-1855	35	88	triples	triple	NOUN
ap-1855	35	89	)	)	PUNCT
ap-1855	35	90	of	of	ADP
ap-1855	35	91	the	the	DET
ap-1855	35	92	drinfel’d	drinfel’d	NOUN
ap-1855	35	93	double	double	NOUN
ap-1855	35	94	may	may	AUX
ap-1855	35	95	exist	exist	VERB
ap-1855	35	96	.	.	PUNCT
ap-1855	36	1	let	let	VERB
ap-1855	36	2	d	d	NOUN
ap-1855	36	3	=	=	SYM
ap-1855	36	4	ĝ	ĝ	X
ap-1855	36	5	u	u	NOUN
ap-1855	36	6	ḡ	ḡ	VERB
ap-1855	36	7	be	be	VERB
ap-1855	36	8	another	another	DET
ap-1855	36	9	decomposition	decomposition	NOUN
ap-1855	36	10	of	of	ADP
ap-1855	36	11	the	the	DET
ap-1855	36	12	lie	lie	NOUN
ap-1855	36	13	algebra	algebra	NOUN
ap-1855	36	14	d	d	NOUN
ap-1855	36	15	into	into	ADP
ap-1855	36	16	maximal	maximal	ADJ
ap-1855	36	17	isotropic	isotropic	NOUN
ap-1855	36	18	subalgebras	subalgebra	NOUN
ap-1855	36	19	.	.	PUNCT
ap-1855	37	1	the	the	DET
ap-1855	37	2	dual	dual	ADJ
ap-1855	37	3	bases	basis	NOUN
ap-1855	37	4	of	of	ADP
ap-1855	37	5	g	g	NOUN
ap-1855	37	6	,	,	PUNCT
ap-1855	37	7	g̃	g̃	PROPN
ap-1855	37	8	and	and	CCONJ
ap-1855	37	9	ĝ	ĝ	NOUN
ap-1855	37	10	,	,	PUNCT
ap-1855	37	11	ḡ	ḡ	VERB
ap-1855	37	12	are	be	AUX
ap-1855	37	13	related	relate	VERB
ap-1855	37	14	by	by	ADP
ap-1855	37	15	the	the	DET
ap-1855	37	16	linear	linear	PROPN
ap-1855	37	17	transformation	transformation	NOUN
ap-1855	37	18	(	(	PUNCT
ap-1855	37	19	t	t	PROPN
ap-1855	37	20	t̃	t̃	PROPN
ap-1855	37	21	)	)	PUNCT
ap-1855	38	1	=	=	PRON
ap-1855	39	1	(	(	PUNCT
ap-1855	39	2	k	k	X
ap-1855	39	3	q	q	X
ap-1855	39	4	w	w	PROPN
ap-1855	39	5	s	s	PROPN
ap-1855	39	6	)	)	PUNCT
ap-1855	39	7	(	(	PUNCT
ap-1855	39	8	t̂	t̂	NUM
ap-1855	39	9	t̄	t̄	NOUN
ap-1855	39	10	)	)	PUNCT
ap-1855	39	11	,	,	PUNCT
ap-1855	39	12	(	(	PUNCT
ap-1855	39	13	4	4	X
ap-1855	39	14	)	)	PUNCT
ap-1855	39	15	where	where	SCONJ
ap-1855	39	16	the	the	DET
ap-1855	39	17	matrices	matrix	NOUN
ap-1855	39	18	k	k	NOUN
ap-1855	39	19	,	,	PUNCT
ap-1855	39	20	q	q	NOUN
ap-1855	39	21	,	,	PUNCT
ap-1855	39	22	w	w	PROPN
ap-1855	39	23	,	,	PUNCT
ap-1855	39	24	s	s	VERB
ap-1855	39	25	are	be	AUX
ap-1855	39	26	chosen	choose	VERB
ap-1855	39	27	in	in	ADP
ap-1855	39	28	such	such	DET
ap-1855	39	29	a	a	DET
ap-1855	39	30	way	way	NOUN
ap-1855	40	1	that	that	PRON
ap-1855	40	2	the	the	DET
ap-1855	40	3	structure	structure	NOUN
ap-1855	40	4	of	of	ADP
ap-1855	40	5	the	the	DET
ap-1855	40	6	lie	lie	NOUN
ap-1855	40	7	algebra	algebra	NOUN
ap-1855	40	8	d	d	NOUN
ap-1855	40	9	in	in	ADP
ap-1855	40	10	the	the	DET
ap-1855	40	11	basis	basis	NOUN
ap-1855	40	12	(	(	PUNCT
ap-1855	40	13	ta	ta	X
ap-1855	40	14	,	,	PUNCT
ap-1855	40	15	t̃	t̃	PROPN
ap-1855	40	16	b	b	NOUN
ap-1855	40	17	)	)	PUNCT
ap-1855	41	1	[	[	X
ap-1855	41	2	ta	ta	X
ap-1855	41	3	,	,	PUNCT
ap-1855	41	4	tb	tb	X
ap-1855	41	5	]	]	PUNCT
ap-1855	41	6	=	=	PUNCT
ap-1855	41	7	fab	fab	PROPN
ap-1855	41	8	ctc	ctc	PROPN
ap-1855	41	9	,	,	PUNCT
ap-1855	41	10	[	[	X
ap-1855	41	11	t̃	t̃	PROPN
ap-1855	41	12	a	a	PRON
ap-1855	41	13	,	,	PUNCT
ap-1855	41	14	t̃	t̃	PROPN
ap-1855	41	15	b	b	NOUN
ap-1855	41	16	]	]	X
ap-1855	41	17	=	=	PUNCT
ap-1855	42	1	f̃ab	f̃ab	NOUN
ap-1855	42	2	ct̃	ct̃	ADJ
ap-1855	42	3	c	c	X
ap-1855	42	4	,	,	PUNCT
ap-1855	42	5	[	[	X
ap-1855	42	6	t̃	t̃	PROPN
ap-1855	42	7	a	a	PRON
ap-1855	42	8	,	,	PUNCT
ap-1855	42	9	tb	tb	X
ap-1855	42	10	]	]	PUNCT
ap-1855	42	11	=	=	SYM
ap-1855	42	12	fbc	fbc	PROPN
ap-1855	42	13	at̃	at̃	NOUN
ap-1855	42	14	c	c	PROPN
ap-1855	42	15	−	−	PROPN
ap-1855	42	16	f̃ac	f̃ac	PROPN
ap-1855	42	17	btc	btc	PROPN
ap-1855	42	18	(	(	PUNCT
ap-1855	42	19	5	5	NUM
ap-1855	42	20	)	)	PUNCT
ap-1855	42	21	transforms	transform	VERB
ap-1855	42	22	to	to	ADP
ap-1855	42	23	a	a	DET
ap-1855	42	24	similar	similar	ADJ
ap-1855	42	25	one	one	NOUN
ap-1855	42	26	where	where	SCONJ
ap-1855	42	27	t	t	PROPN
ap-1855	42	28	→	→	SYM
ap-1855	42	29	t̂	t̂	NUM
ap-1855	42	30	,	,	PUNCT
ap-1855	42	31	t̃	t̃	PROPN
ap-1855	42	32	→	→	SYM
ap-1855	42	33	t̄	t̄	PROPN
ap-1855	42	34	and	and	CCONJ
ap-1855	42	35	the	the	DET
ap-1855	42	36	structure	structure	NOUN
ap-1855	42	37	constants	constant	VERB
ap-1855	42	38	f	f	PROPN
ap-1855	42	39	,	,	PUNCT
ap-1855	42	40	f̃	f̃	PROPN
ap-1855	42	41	of	of	ADP
ap-1855	42	42	g	g	PROPN
ap-1855	42	43	and	and	CCONJ
ap-1855	42	44	g̃	g̃	PROPN
ap-1855	42	45	are	be	AUX
ap-1855	42	46	replaced	replace	VERB
ap-1855	42	47	by	by	ADP
ap-1855	42	48	the	the	DET
ap-1855	42	49	structure	structure	NOUN
ap-1855	42	50	constants	constant	NOUN
ap-1855	42	51	f̂	f̂	PROPN
ap-1855	42	52	,	,	PUNCT
ap-1855	42	53	f̄	f̄	NOUN
ap-1855	42	54	of	of	ADP
ap-1855	42	55	ĝ	ĝ	PROPN
ap-1855	42	56	and	and	CCONJ
ap-1855	42	57	ḡ.	ḡ.	PRON
ap-1855	42	58	the	the	DET
ap-1855	42	59	duality	duality	NOUN
ap-1855	42	60	of	of	ADP
ap-1855	42	61	both	both	DET
ap-1855	42	62	bases	basis	NOUN
ap-1855	42	63	requires	require	VERB
ap-1855	42	64	(	(	PUNCT
ap-1855	42	65	k	k	X
ap-1855	42	66	q	q	PROPN
ap-1855	42	67	w	w	PROPN
ap-1855	42	68	s	s	NOUN
ap-1855	42	69	)	)	PUNCT
ap-1855	42	70	−1	−1	NOUN
ap-1855	43	1	=	=	SYM
ap-1855	43	2	(	(	PUNCT
ap-1855	43	3	st	st	PROPN
ap-1855	43	4	qt	qt	PROPN
ap-1855	43	5	w	w	PROPN
ap-1855	43	6	t	t	PROPN
ap-1855	43	7	kt	kt	PROPN
ap-1855	43	8	)	)	PUNCT
ap-1855	43	9	.	.	PUNCT
ap-1855	44	1	(	(	PUNCT
ap-1855	44	2	6	6	X
ap-1855	44	3	)	)	PUNCT
ap-1855	44	4	the	the	DET
ap-1855	44	5	σ	σ	PROPN
ap-1855	44	6	-	-	PUNCT
ap-1855	44	7	model	model	NOUN
ap-1855	44	8	obtained	obtain	VERB
ap-1855	44	9	by	by	ADP
ap-1855	44	10	the	the	DET
ap-1855	44	11	poisson	poisson	NOUN
ap-1855	44	12	–	–	PUNCT
ap-1855	44	13	lie	lie	NOUN
ap-1855	44	14	t	t	PROPN
ap-1855	44	15	-	-	PUNCT
ap-1855	44	16	plurality	plurality	NOUN
ap-1855	44	17	is	be	AUX
ap-1855	44	18	defined	define	VERB
ap-1855	44	19	analogously	analogously	ADV
ap-1855	44	20	to	to	ADP
ap-1855	44	21	(	(	PUNCT
ap-1855	44	22	1)-(2	1)-(2	NUM
ap-1855	44	23	)	)	PUNCT
ap-1855	44	24	where	where	SCONJ
ap-1855	44	25	ê(ĝ	ê(ĝ	NOUN
ap-1855	44	26	)	)	PUNCT
ap-1855	44	27	=	=	PRON
ap-1855	45	1	(	(	PUNCT
ap-1855	45	2	m̂	m̂	PROPN
ap-1855	45	3	+	+	CCONJ
ap-1855	45	4	π̂(ĝ))−1	π̂(ĝ))−1	NOUN
ap-1855	45	5	,	,	PUNCT
ap-1855	45	6	π̂(ĝ	π̂(ĝ	NOUN
ap-1855	45	7	)	)	PUNCT
ap-1855	45	8	=	=	SYM
ap-1855	45	9	b̂(ĝ	b̂(ĝ	NOUN
ap-1855	45	10	)	)	PUNCT
ap-1855	45	11	·	·	PUNCT
ap-1855	46	1	â−1(ĝ	â−1(ĝ	X
ap-1855	46	2	)	)	PUNCT
ap-1855	46	3	=	=	SYM
ap-1855	46	4	−π̂(ĝ)t	−π̂(ĝ)t	NOUN
ap-1855	46	5	,	,	PUNCT
ap-1855	46	6	m̂	m̂	X
ap-1855	46	7	=	=	SYM
ap-1855	46	8	(	(	PUNCT
ap-1855	46	9	m	m	PROPN
ap-1855	46	10	·	·	PUNCT
ap-1855	46	11	q+	q+	ADV
ap-1855	46	12	s)−1	s)−1	NOUN
ap-1855	46	13	·	·	PUNCT
ap-1855	46	14	(	(	PUNCT
ap-1855	46	15	m	m	PROPN
ap-1855	46	16	·	·	PUNCT
ap-1855	46	17	k	k	X
ap-1855	46	18	+	+	PROPN
ap-1855	46	19	w	w	NOUN
ap-1855	46	20	)	)	PUNCT
ap-1855	46	21	=	=	SYM
ap-1855	46	22	(	(	PUNCT
ap-1855	46	23	kt	kt	X
ap-1855	46	24	·	·	PROPN
ap-1855	46	25	m	m	PROPN
ap-1855	46	26	−w	−w	ADV
ap-1855	46	27	t	t	PROPN
ap-1855	46	28	)	)	PUNCT
ap-1855	46	29	·	·	PUNCT
ap-1855	47	1	(	(	PUNCT
ap-1855	47	2	st	st	PROPN
ap-1855	47	3	−qt	−qt	PROPN
ap-1855	47	4	·	·	SYM
ap-1855	47	5	m)−1	m)−1	PROPN
ap-1855	47	6	.	.	PUNCT
ap-1855	48	1	(	(	PUNCT
ap-1855	48	2	7	7	X
ap-1855	48	3	)	)	PUNCT
ap-1855	48	4	the	the	DET
ap-1855	48	5	transformation	transformation	NOUN
ap-1855	48	6	(	(	PUNCT
ap-1855	48	7	7	7	X
ap-1855	48	8	)	)	PUNCT
ap-1855	48	9	m	m	VERB
ap-1855	48	10	7→	7→	NUM
ap-1855	48	11	m̂	m̂	PROPN
ap-1855	48	12	is	be	AUX
ap-1855	48	13	obtained	obtain	VERB
ap-1855	48	14	when	when	SCONJ
ap-1855	48	15	the	the	DET
ap-1855	48	16	subspaces	subspace	NOUN
ap-1855	48	17	e±	e±	VERB
ap-1855	48	18	=	=	SYM
ap-1855	48	19	span{e±a	span{e±a	NOUN
ap-1855	48	20	}	}	PUNCT
ap-1855	48	21	n	n	CCONJ
ap-1855	48	22	a=1	a=1	PROPN
ap-1855	48	23	spanned	span	VERB
ap-1855	48	24	by	by	ADP
ap-1855	48	25	e+	e+	VERB
ap-1855	48	26	a	a	PRON
ap-1855	48	27	:	:	PUNCT
ap-1855	48	28	−	−	X
ap-1855	48	29	ta	ta	X
ap-1855	48	30	+	+	ADJ
ap-1855	48	31	m−1	m−1	PROPN
ap-1855	48	32	ab	ab	PROPN
ap-1855	48	33	t̃	t̃	PROPN
ap-1855	48	34	b	b	PROPN
ap-1855	48	35	,	,	PUNCT
ap-1855	48	36	e−a	e−a	PROPN
ap-1855	48	37	:	:	PUNCT
ap-1855	48	38	−	−	PROPN
ap-1855	48	39	ta	ta	X
ap-1855	48	40	−m−1	−m−1	NUM
ap-1855	48	41	ba	ba	NOUN
ap-1855	48	42	t̃	t̃	PROPN
ap-1855	48	43	b	b	PROPN
ap-1855	48	44	(	(	PUNCT
ap-1855	48	45	8)	8)	NUM
ap-1855	48	46	are	be	AUX
ap-1855	48	47	expressed	express	VERB
ap-1855	48	48	as	as	ADP
ap-1855	48	49	e+	e+	VERB
ap-1855	48	50	=	=	NOUN
ap-1855	48	51	{	{	PUNCT
ap-1855	48	52	t̂a	t̂a	X
ap-1855	48	53	+	+	CCONJ
ap-1855	48	54	m̂−1	m̂−1	ADJ
ap-1855	48	55	ab	ab	PROPN
ap-1855	48	56	t̄	t̄	PROPN
ap-1855	48	57	b}n	b}n	PROPN
ap-1855	48	58	a=1	a=1	PROPN
ap-1855	48	59	,	,	PUNCT
ap-1855	48	60	e−	e−	PROPN
ap-1855	48	61	=	=	PROPN
ap-1855	48	62	{	{	PUNCT
ap-1855	48	63	t̂a	t̂a	X
ap-1855	48	64	−	−	X
ap-1855	48	65	m̂−1	m̂−1	ADJ
ap-1855	48	66	ba	ba	PROPN
ap-1855	48	67	t̄	t̄	PROPN
ap-1855	48	68	b}n	b}n	PROPN
ap-1855	48	69	a=1	a=1	PROPN
ap-1855	48	70	.	.	PUNCT
ap-1855	49	1	classical	classical	ADJ
ap-1855	49	2	solutions	solution	NOUN
ap-1855	49	3	of	of	ADP
ap-1855	49	4	the	the	DET
ap-1855	49	5	two	two	NUM
ap-1855	49	6	σ	σ	NOUN
ap-1855	49	7	-	-	PUNCT
ap-1855	49	8	models	model	NOUN
ap-1855	49	9	are	be	AUX
ap-1855	49	10	related	relate	VERB
ap-1855	49	11	by	by	ADP
ap-1855	49	12	two	two	NUM
ap-1855	49	13	possible	possible	ADJ
ap-1855	49	14	decompositions	decomposition	NOUN
ap-1855	49	15	of	of	ADP
ap-1855	49	16	l	l	NOUN
ap-1855	49	17	∈	∈	PROPN
ap-1855	49	18	d	d	PROPN
ap-1855	49	19	,	,	PUNCT
ap-1855	49	20	l	l	NOUN
ap-1855	49	21	=	=	PUNCT
ap-1855	49	22	gh̃	gh̃	NOUN
ap-1855	50	1	=	=	SYM
ap-1855	50	2	ĝh̄.	ĝh̄.	ADJ
ap-1855	50	3	(	(	PUNCT
ap-1855	50	4	9	9	NUM
ap-1855	50	5	)	)	PUNCT
ap-1855	50	6	examples	example	NOUN
ap-1855	50	7	of	of	ADP
ap-1855	50	8	explicit	explicit	ADJ
ap-1855	50	9	solutions	solution	NOUN
ap-1855	50	10	of	of	ADP
ap-1855	50	11	the	the	DET
ap-1855	50	12	σ	σ	NOUN
ap-1855	50	13	-	-	PUNCT
ap-1855	50	14	models	model	NOUN
ap-1855	50	15	related	relate	VERB
ap-1855	50	16	by	by	ADP
ap-1855	50	17	the	the	DET
ap-1855	50	18	poisson	poisson	NOUN
ap-1855	50	19	–	–	PUNCT
ap-1855	50	20	lie	lie	NOUN
ap-1855	50	21	t	t	PROPN
ap-1855	50	22	-	-	PUNCT
ap-1855	50	23	plurality	plurality	NOUN
ap-1855	50	24	were	be	AUX
ap-1855	50	25	given	give	VERB
ap-1855	50	26	in	in	ADP
ap-1855	50	27	[	[	X
ap-1855	50	28	10	10	NUM
ap-1855	50	29	]	]	PUNCT
ap-1855	50	30	.	.	PUNCT
ap-1855	51	1	the	the	DET
ap-1855	51	2	poisson	poisson	NOUN
ap-1855	51	3	–	–	PUNCT
ap-1855	51	4	lie	lie	NOUN
ap-1855	51	5	t	t	PROPN
ap-1855	51	6	-	-	PUNCT
ap-1855	51	7	duality	duality	NOUN
ap-1855	51	8	is	be	AUX
ap-1855	51	9	a	a	DET
ap-1855	51	10	special	special	ADJ
ap-1855	51	11	case	case	NOUN
ap-1855	51	12	of	of	ADP
ap-1855	51	13	poisson	poisson	NOUN
ap-1855	51	14	–	–	PUNCT
ap-1855	51	15	lie	lie	NOUN
ap-1855	51	16	t	t	PROPN
ap-1855	51	17	-	-	PUNCT
ap-1855	51	18	plurality	plurality	NOUN
ap-1855	51	19	with	with	ADP
ap-1855	51	20	k	k	PROPN
ap-1855	51	21	=	=	PUNCT
ap-1855	51	22	s	s	PART
ap-1855	51	23	=	=	SYM
ap-1855	51	24	0	0	NUM
ap-1855	51	25	,	,	PUNCT
ap-1855	51	26	q	q	NOUN
ap-1855	51	27	=	=	PUNCT
ap-1855	51	28	w	w	NOUN
ap-1855	51	29	=	=	NOUN
ap-1855	51	30	1	1	X
ap-1855	51	31	.	.	PUNCT
ap-1855	52	1	it	it	PRON
ap-1855	52	2	is	be	AUX
ap-1855	52	3	useful	useful	ADJ
ap-1855	52	4	to	to	PART
ap-1855	52	5	recall	recall	VERB
ap-1855	52	6	that	that	SCONJ
ap-1855	52	7	several	several	ADJ
ap-1855	52	8	other	other	ADJ
ap-1855	52	9	conventions	convention	NOUN
ap-1855	52	10	are	be	AUX
ap-1855	52	11	used	use	VERB
ap-1855	52	12	in	in	ADP
ap-1855	52	13	the	the	DET
ap-1855	52	14	literature	literature	NOUN
ap-1855	52	15	.	.	PUNCT
ap-1855	53	1	e.g.	e.g.	ADV
ap-1855	53	2	,	,	PUNCT
ap-1855	53	3	the	the	DET
ap-1855	53	4	action	action	NOUN
ap-1855	53	5	in	in	ADP
ap-1855	53	6	[	[	X
ap-1855	53	7	2	2	NUM
ap-1855	53	8	,	,	PUNCT
ap-1855	53	9	3	3	NUM
ap-1855	53	10	]	]	PUNCT
ap-1855	53	11	is	be	AUX
ap-1855	53	12	defined	define	VERB
ap-1855	53	13	as	as	ADP
ap-1855	53	14	s[g	s[g	NOUN
ap-1855	53	15	]	]	PUNCT
ap-1855	53	16	=	=	SYM
ap-1855	53	17	∫	∫	PROPN
ap-1855	53	18	d2xl+(g	d2xl+(g	X
ap-1855	53	19	)	)	PUNCT
ap-1855	53	20	·	·	PUNCT
ap-1855	54	1	(	(	PUNCT
ap-1855	54	2	m	m	VERB
ap-1855	54	3	+	+	X
ap-1855	54	4	π̄(g))−1	π̄(g))−1	X
ap-1855	54	5	·	·	PUNCT
ap-1855	54	6	l−(g	l−(g	NOUN
ap-1855	54	7	)	)	PUNCT
ap-1855	54	8	,	,	PUNCT
ap-1855	54	9	(	(	PUNCT
ap-1855	54	10	10	10	NUM
ap-1855	54	11	)	)	PUNCT
ap-1855	54	12	where	where	SCONJ
ap-1855	54	13	π̄(g	π̄(g	NOUN
ap-1855	54	14	)	)	PUNCT
ap-1855	54	15	=	=	SYM
ap-1855	54	16	bt(g	bt(g	X
ap-1855	54	17	)	)	PUNCT
ap-1855	54	18	·	·	PUNCT
ap-1855	54	19	a(g	a(g	PROPN
ap-1855	54	20	)	)	PUNCT
ap-1855	54	21	=	=	SYM
ap-1855	54	22	π(g−1	π(g−1	PROPN
ap-1855	54	23	)	)	PUNCT
ap-1855	54	24	.	.	PUNCT
ap-1855	55	1	the	the	DET
ap-1855	55	2	transition	transition	NOUN
ap-1855	55	3	between	between	ADP
ap-1855	55	4	actions	action	NOUN
ap-1855	55	5	(	(	PUNCT
ap-1855	55	6	1	1	NUM
ap-1855	55	7	)	)	PUNCT
ap-1855	55	8	and	and	CCONJ
ap-1855	55	9	(	(	PUNCT
ap-1855	55	10	10	10	NUM
ap-1855	55	11	)	)	PUNCT
ap-1855	55	12	is	be	AUX
ap-1855	55	13	given	give	VERB
ap-1855	55	14	by	by	ADP
ap-1855	55	15	g	g	PROPN
ap-1855	55	16	↔	↔	PROPN
ap-1855	55	17	g−1	g−1	PROPN
ap-1855	55	18	,	,	PUNCT
ap-1855	55	19	m	m	VERB
ap-1855	55	20	↔	↔	PROPN
ap-1855	55	21	m	m	NOUN
ap-1855	55	22	t.	t.	NOUN
ap-1855	55	23	the	the	DET
ap-1855	55	24	one	one	NUM
ap-1855	55	25	-	-	PUNCT
ap-1855	55	26	loop	loop	NOUN
ap-1855	55	27	renormalization	renormalization	NOUN
ap-1855	55	28	group	group	NOUN
ap-1855	55	29	equations	equation	NOUN
ap-1855	55	30	for	for	ADP
ap-1855	55	31	poisson	poisson	NOUN
ap-1855	55	32	–	–	PUNCT
ap-1855	55	33	lie	lie	NOUN
ap-1855	56	1	dualizable	dualizable	NOUN
ap-1855	56	2	σ	σ	NOUN
ap-1855	56	3	-	-	PUNCT
ap-1855	56	4	models	model	NOUN
ap-1855	56	5	were	be	AUX
ap-1855	56	6	found	find	VERB
ap-1855	56	7	in	in	ADP
ap-1855	56	8	[	[	X
ap-1855	56	9	1	1	NUM
ap-1855	56	10	]	]	PUNCT
ap-1855	56	11	.	.	PUNCT
ap-1855	57	1	in	in	ADP
ap-1855	57	2	our	our	PRON
ap-1855	57	3	notation	notation	NOUN
ap-1855	57	4	it	it	PRON
ap-1855	57	5	reads	read	VERB
ap-1855	57	6	dm	dm	INTJ
ap-1855	57	7	ba	ba	NOUN
ap-1855	57	8	dt	dt	NOUN
ap-1855	58	1	=	=	PUNCT
ap-1855	58	2	rab(m	rab(m	PROPN
ap-1855	58	3	t	t	PROPN
ap-1855	58	4	)	)	PUNCT
ap-1855	58	5	.	.	PUNCT
ap-1855	59	1	(	(	PUNCT
ap-1855	59	2	11	11	X
ap-1855	59	3	)	)	PUNCT
ap-1855	59	4	note	note	VERB
ap-1855	59	5	that	that	SCONJ
ap-1855	59	6	equation	equation	NOUN
ap-1855	59	7	(	(	PUNCT
ap-1855	59	8	11	11	NUM
ap-1855	59	9	)	)	PUNCT
ap-1855	59	10	appears	appear	VERB
ap-1855	59	11	in	in	ADP
ap-1855	59	12	[	[	X
ap-1855	59	13	1	1	NUM
ap-1855	59	14	,	,	PUNCT
ap-1855	59	15	2	2	NUM
ap-1855	59	16	]	]	PUNCT
ap-1855	59	17	without	without	ADP
ap-1855	59	18	transposition	transposition	NOUN
ap-1855	59	19	of	of	ADP
ap-1855	59	20	m	m	PRON
ap-1855	59	21	on	on	ADP
ap-1855	59	22	both	both	DET
ap-1855	59	23	sides	side	NOUN
ap-1855	59	24	of	of	ADP
ap-1855	59	25	the	the	DET
ap-1855	59	26	equation	equation	NOUN
ap-1855	59	27	due	due	ADP
ap-1855	59	28	to	to	ADP
ap-1855	59	29	different	different	ADJ
ap-1855	59	30	formulations	formulation	NOUN
ap-1855	59	31	of	of	ADP
ap-1855	59	32	the	the	DET
ap-1855	59	33	σ	σ	PROPN
ap-1855	59	34	-	-	PUNCT
ap-1855	59	35	model	model	NOUN
ap-1855	59	36	action	action	NOUN
ap-1855	59	37	(	(	PUNCT
ap-1855	59	38	1	1	NUM
ap-1855	59	39	)	)	PUNCT
ap-1855	59	40	vs.	vs.	X
ap-1855	59	41	(	(	PUNCT
ap-1855	59	42	10	10	NUM
ap-1855	59	43	)	)	PUNCT
ap-1855	59	44	.	.	PUNCT
ap-1855	60	1	the	the	DET
ap-1855	60	2	matrix	matrix	NOUN
ap-1855	60	3	valued	value	VERB
ap-1855	60	4	function	function	NOUN
ap-1855	60	5	rab	rab	PROPN
ap-1855	60	6	is	be	AUX
ap-1855	60	7	defined	define	VERB
ap-1855	60	8	as	as	ADP
ap-1855	60	9	rab(m	rab(m	NOUN
ap-1855	60	10	)	)	PUNCT
ap-1855	60	11	=	=	PUNCT
ap-1855	60	12	rac	rac	PROPN
ap-1855	60	13	d(m)ldb	d(m)ldb	PROPN
ap-1855	60	14	c(m	c(m	PROPN
ap-1855	60	15	)	)	PUNCT
ap-1855	60	16	,	,	PUNCT
ap-1855	60	17	(	(	PUNCT
ap-1855	60	18	12	12	X
ap-1855	60	19	)	)	PUNCT
ap-1855	60	20	rab	rab	PROPN
ap-1855	60	21	c(m	c(m	PROPN
ap-1855	60	22	)	)	PUNCT
ap-1855	61	1	=	=	SYM
ap-1855	61	2	1	1	NUM
ap-1855	61	3	2(m−1	2(m−1	NOUN
ap-1855	61	4	s	s	PART
ap-1855	61	5	)	)	PUNCT
ap-1855	61	6	cd	cd	PROPN
ap-1855	61	7	(	(	PUNCT
ap-1855	61	8	aab	aab	PROPN
ap-1855	61	9	em	em	PROPN
ap-1855	61	10	de	de	PROPN
ap-1855	61	11	+	+	PROPN
ap-1855	61	12	bad	bad	ADJ
ap-1855	61	13	em	em	PRON
ap-1855	61	14	eb	eb	PROPN
ap-1855	61	15	−bdb	−bdb	NOUN
ap-1855	61	16	em	em	PRON
ap-1855	61	17	ae	ae	PROPN
ap-1855	61	18	)	)	PUNCT
ap-1855	61	19	,	,	PUNCT
ap-1855	61	20	(	(	PUNCT
ap-1855	61	21	13	13	X
ap-1855	61	22	)	)	PUNCT
ap-1855	61	23	lab	lab	NOUN
ap-1855	61	24	c(m	c(m	PROPN
ap-1855	61	25	)	)	PUNCT
ap-1855	61	26	=	=	SYM
ap-1855	61	27	1	1	NUM
ap-1855	61	28	2(m−1	2(m−1	NOUN
ap-1855	61	29	s	s	PART
ap-1855	61	30	)	)	PUNCT
ap-1855	61	31	cd	cd	PROPN
ap-1855	61	32	(	(	PUNCT
ap-1855	61	33	bab	bab	PROPN
ap-1855	61	34	em	em	PRON
ap-1855	61	35	ed	ed	PROPN
ap-1855	62	1	+	+	PROPN
ap-1855	62	2	adb	adb	VERB
ap-1855	62	3	em	em	PRON
ap-1855	62	4	ae	ae	INTJ
ap-1855	62	5	−aad	−aad	ADV
ap-1855	62	6	em	em	PRON
ap-1855	62	7	eb	eb	PROPN
ap-1855	62	8	)	)	PUNCT
ap-1855	62	9	,	,	PUNCT
ap-1855	62	10	(	(	PUNCT
ap-1855	62	11	14	14	X
ap-1855	62	12	)	)	PUNCT
ap-1855	62	13	aab	aab	NOUN
ap-1855	62	14	c	c	NOUN
ap-1855	62	15	=	=	PUNCT
ap-1855	62	16	f̃ab	f̃ab	PROPN
ap-1855	62	17	c	c	PROPN
ap-1855	63	1	−	−	PROPN
ap-1855	63	2	fcd	fcd	ADJ
ap-1855	63	3	amdb	amdb	ADJ
ap-1855	63	4	,	,	PUNCT
ap-1855	63	5	bab	bab	PROPN
ap-1855	63	6	c	c	PROPN
ap-1855	63	7	=	=	PUNCT
ap-1855	63	8	f̃ab	f̃ab	PROPN
ap-1855	63	9	c	c	PROPN
ap-1855	64	1	+	+	ADJ
ap-1855	64	2	madfdc	madfdc	PROPN
ap-1855	64	3	b	b	PROPN
ap-1855	64	4	,	,	PUNCT
ap-1855	64	5	(	(	PUNCT
ap-1855	64	6	15	15	NUM
ap-1855	64	7	)	)	PUNCT
ap-1855	64	8	ms	ms	NOUN
ap-1855	64	9	=	=	SYM
ap-1855	64	10	1	1	NUM
ap-1855	64	11	2(m	2(m	NUM
ap-1855	65	1	+	+	NOUN
ap-1855	65	2	m	m	NOUN
ap-1855	65	3	t	t	PROPN
ap-1855	65	4	)	)	PUNCT
ap-1855	65	5	.	.	PUNCT
ap-1855	66	1	(	(	PUNCT
ap-1855	66	2	16	16	NUM
ap-1855	66	3	)	)	PUNCT
ap-1855	66	4	it	it	PRON
ap-1855	66	5	was	be	AUX
ap-1855	66	6	shown	show	VERB
ap-1855	66	7	in	in	ADP
ap-1855	66	8	[	[	X
ap-1855	66	9	2	2	X
ap-1855	66	10	]	]	PUNCT
ap-1855	66	11	that	that	DET
ap-1855	66	12	equation	equation	NOUN
ap-1855	66	13	(	(	PUNCT
ap-1855	66	14	11	11	NUM
ap-1855	66	15	)	)	PUNCT
ap-1855	66	16	is	be	AUX
ap-1855	66	17	covariant	covariant	ADJ
ap-1855	66	18	with	with	ADP
ap-1855	66	19	respect	respect	NOUN
ap-1855	66	20	to	to	ADP
ap-1855	66	21	the	the	DET
ap-1855	66	22	poisson	poisson	NOUN
ap-1855	66	23	–	–	PUNCT
ap-1855	66	24	lie	lie	NOUN
ap-1855	66	25	t	t	NOUN
ap-1855	66	26	-	-	PUNCT
ap-1855	66	27	duality	duality	NOUN
ap-1855	66	28	,	,	PUNCT
ap-1855	66	29	i.e.	i.e.	X
ap-1855	66	30	,	,	PUNCT
ap-1855	66	31	it	it	PRON
ap-1855	66	32	is	be	AUX
ap-1855	66	33	equivalent	equivalent	ADJ
ap-1855	66	34	to	to	ADP
ap-1855	66	35	dm̃	dm̃	PROPN
ap-1855	67	1	ba	ba	PROPN
ap-1855	67	2	dt	dt	NOUN
ap-1855	68	1	=	=	SYM
ap-1855	68	2	r̃ab(m̃	r̃ab(m̃	PROPN
ap-1855	68	3	t	t	PROPN
ap-1855	68	4	)	)	PUNCT
ap-1855	68	5	(	(	PUNCT
ap-1855	68	6	17	17	NUM
ap-1855	68	7	)	)	PUNCT
ap-1855	68	8	obtained	obtain	VERB
ap-1855	68	9	by	by	ADP
ap-1855	68	10	f	f	PROPN
ap-1855	68	11	→	→	SYM
ap-1855	68	12	f̃	f̃	PROPN
ap-1855	68	13	,	,	PUNCT
ap-1855	68	14	f̃	f̃	PROPN
ap-1855	68	15	→	→	SYM
ap-1855	68	16	f	f	PROPN
ap-1855	68	17	,	,	PUNCT
ap-1855	68	18	m	m	PROPN
ap-1855	68	19	→	→	SYM
ap-1855	68	20	m̃	m̃	PROPN
ap-1855	68	21	=	=	SYM
ap-1855	68	22	m−1	m−1	PROPN
ap-1855	68	23	.	.	PUNCT
ap-1855	69	1	(	(	PUNCT
ap-1855	69	2	18	18	NUM
ap-1855	69	3	)	)	PUNCT
ap-1855	69	4	one	one	PRON
ap-1855	69	5	expects	expect	VERB
ap-1855	69	6	that	that	SCONJ
ap-1855	69	7	equations	equation	NOUN
ap-1855	69	8	(	(	PUNCT
ap-1855	69	9	11	11	NUM
ap-1855	69	10	)	)	PUNCT
ap-1855	69	11	are	be	AUX
ap-1855	69	12	covariant	covariant	ADJ
ap-1855	69	13	also	also	ADV
ap-1855	69	14	with	with	ADP
ap-1855	69	15	respect	respect	NOUN
ap-1855	69	16	to	to	ADP
ap-1855	69	17	the	the	DET
ap-1855	69	18	poisson	poisson	NOUN
ap-1855	69	19	–	–	PUNCT
ap-1855	69	20	lie	lie	NOUN
ap-1855	69	21	t	t	PROPN
ap-1855	69	22	-	-	PUNCT
ap-1855	69	23	plurality	plurality	NOUN
ap-1855	69	24	when	when	SCONJ
ap-1855	69	25	f	f	PROPN
ap-1855	69	26	→	→	SYM
ap-1855	69	27	f̂	f̂	PROPN
ap-1855	69	28	,	,	PUNCT
ap-1855	69	29	f̃	f̃	PROPN
ap-1855	69	30	→	→	SYM
ap-1855	69	31	f̄	f̄	PROPN
ap-1855	69	32	,	,	PUNCT
ap-1855	69	33	m	m	PROPN
ap-1855	69	34	→	→	SYM
ap-1855	69	35	m̂	m̂	PROPN
ap-1855	69	36	,	,	PUNCT
ap-1855	69	37	(	(	PUNCT
ap-1855	69	38	19	19	NUM
ap-1855	69	39	)	)	PUNCT
ap-1855	69	40	where	where	SCONJ
ap-1855	69	41	the	the	DET
ap-1855	69	42	transformation	transformation	NOUN
ap-1855	69	43	of	of	ADP
ap-1855	69	44	m̂	m̂	PROPN
ap-1855	69	45	under	under	ADP
ap-1855	69	46	plurality	plurality	NOUN
ap-1855	69	47	is	be	AUX
ap-1855	69	48	given	give	VERB
ap-1855	69	49	by	by	ADP
ap-1855	69	50	(	(	PUNCT
ap-1855	69	51	7	7	NUM
ap-1855	69	52	)	)	PUNCT
ap-1855	69	53	.	.	PUNCT
ap-1855	70	1	we	we	PRON
ap-1855	70	2	have	have	AUX
ap-1855	70	3	checked	check	VERB
ap-1855	70	4	the	the	DET
ap-1855	70	5	invariance	invariance	NOUN
ap-1855	70	6	on	on	ADP
ap-1855	70	7	numerous	numerous	ADJ
ap-1855	70	8	examples	example	NOUN
ap-1855	70	9	of	of	ADP
ap-1855	70	10	poisson	poisson	NOUN
ap-1855	70	11	–	–	PUNCT
ap-1855	70	12	lie	lie	NOUN
ap-1855	70	13	t	t	PROPN
ap-1855	70	14	-	-	PUNCT
ap-1855	70	15	plurality	plurality	NOUN
ap-1855	70	16	using	use	VERB
ap-1855	70	17	4and	4and	PROPN
ap-1855	70	18	6	6	NUM
ap-1855	70	19	-	-	PUNCT
ap-1855	70	20	dimensional	dimensional	ADJ
ap-1855	70	21	drinfel’d	drinfel’d	NOUN
ap-1855	70	22	doubles	double	VERB
ap-1855	70	23	and	and	CCONJ
ap-1855	70	24	their	their	PRON
ap-1855	70	25	decompositions	decomposition	NOUN
ap-1855	70	26	into	into	ADP
ap-1855	70	27	manin	manin	PROPN
ap-1855	70	28	triples	triple	NOUN
ap-1855	70	29	of	of	ADP
ap-1855	70	30	[	[	X
ap-1855	70	31	4	4	NUM
ap-1855	70	32	,	,	PUNCT
ap-1855	70	33	5	5	NUM
ap-1855	70	34	]	]	PUNCT
ap-1855	70	35	,	,	PUNCT
ap-1855	70	36	and	and	CCONJ
ap-1855	70	37	,	,	PUNCT
ap-1855	70	38	have	have	AUX
ap-1855	70	39	found	find	VERB
ap-1855	70	40	no	no	DET
ap-1855	70	41	counterexamples	counterexample	NOUN
ap-1855	70	42	.	.	PUNCT
ap-1855	71	1	434	434	NUM
ap-1855	71	2	vol	vol	NOUN
ap-1855	71	3	.	.	PUNCT
ap-1855	72	1	53	53	NUM
ap-1855	72	2	no	no	NOUN
ap-1855	72	3	.	.	PUNCT
ap-1855	73	1	5/2013	5/2013	NUM
ap-1855	73	2	on	on	ADP
ap-1855	73	3	renormalization	renormalization	NOUN
ap-1855	73	4	of	of	ADP
ap-1855	73	5	poisson	poisson	NOUN
ap-1855	73	6	–	–	PUNCT
ap-1855	73	7	lie	lie	NOUN
ap-1855	73	8	t	t	NOUN
ap-1855	73	9	-	-	PUNCT
ap-1855	73	10	plural	plural	ADJ
ap-1855	73	11	sigma	sigma	PROPN
ap-1855	73	12	models	model	VERB
ap-1855	73	13	3	3	NUM
ap-1855	73	14	.	.	X
ap-1855	73	15	relation	relation	NOUN
ap-1855	73	16	to	to	ADP
ap-1855	73	17	the	the	DET
ap-1855	73	18	renormalization	renormalization	NOUN
ap-1855	73	19	group	group	NOUN
ap-1855	73	20	equations	equation	NOUN
ap-1855	73	21	on	on	ADP
ap-1855	73	22	the	the	DET
ap-1855	73	23	drinfel’d	drinfel’d	NOUN
ap-1855	73	24	double	double	NOUN
ap-1855	73	25	the	the	DET
ap-1855	73	26	renormalization	renormalization	NOUN
ap-1855	73	27	equation	equation	NOUN
ap-1855	73	28	(	(	PUNCT
ap-1855	73	29	11	11	NUM
ap-1855	73	30	)	)	PUNCT
ap-1855	73	31	presented	present	VERB
ap-1855	73	32	above	above	ADV
ap-1855	73	33	will	will	AUX
ap-1855	73	34	be	be	AUX
ap-1855	73	35	compared	compare	VERB
ap-1855	73	36	to	to	ADP
ap-1855	73	37	the	the	DET
ap-1855	73	38	renormalization	renormalization	NOUN
ap-1855	73	39	group	group	NOUN
ap-1855	73	40	equations	equation	NOUN
ap-1855	73	41	derived	derive	VERB
ap-1855	73	42	in	in	ADP
ap-1855	73	43	[	[	X
ap-1855	73	44	3	3	X
ap-1855	73	45	]	]	PUNCT
ap-1855	73	46	on	on	ADP
ap-1855	73	47	the	the	DET
ap-1855	73	48	whole	whole	ADJ
ap-1855	73	49	drinfel’d	drinfel’d	NOUN
ap-1855	73	50	double	double	ADJ
ap-1855	73	51	drab	drab	ADJ
ap-1855	73	52	dt	dt	X
ap-1855	73	53	=	=	SYM
ap-1855	73	54	sab(r	sab(r	PROPN
ap-1855	73	55	,	,	PUNCT
ap-1855	73	56	h	h	NOUN
ap-1855	73	57	)	)	PUNCT
ap-1855	73	58	=	=	PUNCT
ap-1855	74	1	1	1	NUM
ap-1855	74	2	4(racrbf	4(racrbf	PROPN
ap-1855	74	3	−	−	PROPN
ap-1855	74	4	ηacηbf	ηacηbf	NOUN
ap-1855	74	5	)	)	PUNCT
ap-1855	74	6	·	·	PUNCT
ap-1855	75	1	(	(	PUNCT
ap-1855	75	2	rkdrhe	rkdrhe	NOUN
ap-1855	75	3	−	−	PROPN
ap-1855	75	4	ηkdηhe)hkh	ηkdηhe)hkh	VERB
ap-1855	75	5	chde	chde	ADJ
ap-1855	75	6	f	f	X
ap-1855	75	7	(	(	PUNCT
ap-1855	75	8	20	20	NUM
ap-1855	75	9	)	)	PUNCT
ap-1855	75	10	for	for	ADP
ap-1855	75	11	the	the	DET
ap-1855	75	12	symmetric	symmetric	ADJ
ap-1855	75	13	matrix	matrix	NOUN
ap-1855	75	14	r	r	NOUN
ap-1855	75	15	,	,	PUNCT
ap-1855	75	16	indexes	index	VERB
ap-1855	75	17	a	a	DET
ap-1855	75	18	,	,	PUNCT
ap-1855	75	19	b	b	NOUN
ap-1855	75	20	,	,	PUNCT
ap-1855	75	21	.	.	PUNCT
ap-1855	75	22	.	.	PUNCT
ap-1855	76	1	.	.	PUNCT
ap-1855	77	1	refer	refer	VERB
ap-1855	77	2	to	to	ADP
ap-1855	77	3	drinfel’d	drinfel’d	NOUN
ap-1855	77	4	double	double	ADJ
ap-1855	77	5	lie	lie	NOUN
ap-1855	77	6	algebra	algebra	NOUN
ap-1855	77	7	d	d	AUX
ap-1855	77	8	spanned	span	VERB
ap-1855	77	9	by	by	ADP
ap-1855	77	10	the	the	DET
ap-1855	77	11	basis	basis	NOUN
ap-1855	77	12	ta	ta	PART
ap-1855	77	13	=	=	SYM
ap-1855	77	14	{	{	PUNCT
ap-1855	77	15	ti	ti	NOUN
ap-1855	77	16	,	,	PUNCT
ap-1855	77	17	t̃	t̃	PROPN
ap-1855	77	18	j	j	PROPN
ap-1855	77	19	}	}	PUNCT
ap-1855	77	20	.	.	PUNCT
ap-1855	78	1	for	for	ADP
ap-1855	78	2	a	a	DET
ap-1855	78	3	given	give	VERB
ap-1855	78	4	decomposition	decomposition	NOUN
ap-1855	78	5	of	of	ADP
ap-1855	78	6	the	the	DET
ap-1855	78	7	drinfel’d	drinfel’d	NOUN
ap-1855	78	8	double	double	NOUN
ap-1855	78	9	into	into	ADP
ap-1855	78	10	a	a	DET
ap-1855	78	11	manin	manin	PROPN
ap-1855	78	12	triple	triple	ADJ
ap-1855	78	13	(	(	PUNCT
ap-1855	78	14	g|g̃	g|g̃	PROPN
ap-1855	78	15	)	)	PUNCT
ap-1855	78	16	,	,	PUNCT
ap-1855	78	17	the	the	DET
ap-1855	78	18	structure	structure	NOUN
ap-1855	78	19	constants	constant	VERB
ap-1855	78	20	h	h	PROPN
ap-1855	78	21	of	of	ADP
ap-1855	78	22	the	the	DET
ap-1855	78	23	drinfel’d	drinfel’d	NOUN
ap-1855	78	24	double	double	NOUN
ap-1855	78	25	are	be	AUX
ap-1855	78	26	given	give	VERB
ap-1855	78	27	by	by	ADP
ap-1855	78	28	the	the	DET
ap-1855	78	29	structure	structure	NOUN
ap-1855	78	30	constants	constant	VERB
ap-1855	78	31	f	f	PROPN
ap-1855	78	32	,	,	PUNCT
ap-1855	78	33	f̃	f̃	PROPN
ap-1855	78	34	of	of	ADP
ap-1855	78	35	the	the	DET
ap-1855	78	36	subalgebras	subalgebra	NOUN
ap-1855	78	37	of	of	ADP
ap-1855	78	38	the	the	DET
ap-1855	78	39	manin	manin	PROPN
ap-1855	78	40	triple	triple	ADJ
ap-1855	78	41	h	h	NOUN
ap-1855	78	42	=	=	SYM
ap-1855	78	43	h(f	h(f	PROPN
ap-1855	78	44	,	,	PUNCT
ap-1855	78	45	f̃	f̃	PROPN
ap-1855	78	46	)	)	PUNCT
ap-1855	78	47	as	as	ADP
ap-1855	78	48	in	in	ADP
ap-1855	78	49	equation	equation	NOUN
ap-1855	78	50	(	(	PUNCT
ap-1855	78	51	5	5	NUM
ap-1855	78	52	)	)	PUNCT
ap-1855	78	53	.	.	PUNCT
ap-1855	79	1	matrix	matrix	NOUN
ap-1855	79	2	r	r	NOUN
ap-1855	79	3	is	be	AUX
ap-1855	79	4	related	relate	VERB
ap-1855	79	5	to	to	ADP
ap-1855	79	6	the	the	DET
ap-1855	79	7	matrix	matrix	NOUN
ap-1855	79	8	m	m	VERB
ap-1855	79	9	,	,	PUNCT
ap-1855	79	10	which	which	PRON
ap-1855	79	11	defines	define	VERB
ap-1855	79	12	the	the	DET
ap-1855	79	13	σ	σ	NOUN
ap-1855	79	14	-	-	PUNCT
ap-1855	79	15	model	model	NOUN
ap-1855	79	16	on	on	ADP
ap-1855	79	17	the	the	DET
ap-1855	79	18	group	group	NOUN
ap-1855	79	19	g	g	NOUN
ap-1855	79	20	,	,	PUNCT
ap-1855	79	21	by	by	ADP
ap-1855	79	22	rab	rab	PROPN
ap-1855	79	23	=	=	PROPN
ap-1855	79	24	ρab(m	ρab(m	PROPN
ap-1855	79	25	)	)	PUNCT
ap-1855	80	1	=	=	NOUN
ap-1855	80	2	(	(	PUNCT
ap-1855	80	3	m̃s	m̃s	X
ap-1855	80	4	−bm̃−1	−bm̃−1	NOUN
ap-1855	80	5	s	s	NOUN
ap-1855	80	6	b	b	NOUN
ap-1855	80	7	−bm̃−1	−bm̃−1	NOUN
ap-1855	80	8	s	s	PART
ap-1855	80	9	m̃−1	m̃−1	PROPN
ap-1855	80	10	s	s	PART
ap-1855	80	11	b	b	PROPN
ap-1855	80	12	m̃−1	m̃−1	PROPN
ap-1855	80	13	s	s	PART
ap-1855	80	14	)	)	PUNCT
ap-1855	80	15	,	,	PUNCT
ap-1855	80	16	(	(	PUNCT
ap-1855	80	17	21	21	NUM
ap-1855	80	18	)	)	PUNCT
ap-1855	81	1	where	where	SCONJ
ap-1855	81	2	b	b	NOUN
ap-1855	82	1	=	=	SYM
ap-1855	82	2	1	1	NUM
ap-1855	82	3	2	2	NUM
ap-1855	82	4	[	[	PUNCT
ap-1855	82	5	m−1	m−1	PROPN
ap-1855	82	6	−	−	PROPN
ap-1855	82	7	(	(	PUNCT
ap-1855	82	8	m−1)t	m−1)t	PROPN
ap-1855	82	9	]	]	PUNCT
ap-1855	82	10	,	,	PUNCT
ap-1855	82	11	m̃s	m̃s	NOUN
ap-1855	82	12	=	=	SYM
ap-1855	82	13	1	1	NUM
ap-1855	82	14	2	2	NUM
ap-1855	82	15	[	[	PUNCT
ap-1855	82	16	m−1	m−1	PROPN
ap-1855	82	17	+	+	CCONJ
ap-1855	82	18	(	(	PUNCT
ap-1855	82	19	m−1)t	m−1)t	NOUN
ap-1855	82	20	]	]	PUNCT
ap-1855	82	21	,	,	PUNCT
ap-1855	82	22	rab	rab	PROPN
ap-1855	82	23	=	=	SYM
ap-1855	82	24	(	(	PUNCT
ap-1855	82	25	r−1)ab	r−1)ab	NOUN
ap-1855	82	26	,	,	PUNCT
ap-1855	82	27	r−1	r−1	PROPN
ap-1855	82	28	=	=	PUNCT
ap-1855	82	29	η	η	PROPN
ap-1855	82	30	·	·	PROPN
ap-1855	82	31	r	r	NOUN
ap-1855	82	32	·	·	PUNCT
ap-1855	82	33	η	η	NOUN
ap-1855	82	34	,	,	PUNCT
ap-1855	82	35	and	and	CCONJ
ap-1855	82	36	ηab	ηab	NOUN
ap-1855	82	37	=	=	SYM
ap-1855	82	38	〈	〈	PROPN
ap-1855	82	39	ta|tb	ta|tb	NOUN
ap-1855	82	40	〉	〉	NOUN
ap-1855	82	41	=	=	SYM
ap-1855	82	42	(	(	PUNCT
ap-1855	82	43	0	0	NUM
ap-1855	82	44	idg×dg	idg×dg	NOUN
ap-1855	82	45	idg×dg	idg×dg	X
ap-1855	82	46	0	0	NUM
ap-1855	82	47	)	)	PUNCT
ap-1855	82	48	.	.	PUNCT
ap-1855	83	1	(	(	PUNCT
ap-1855	83	2	22	22	X
ap-1855	83	3	)	)	PUNCT
ap-1855	83	4	it	it	PRON
ap-1855	83	5	is	be	AUX
ap-1855	83	6	easy	easy	ADJ
ap-1855	83	7	to	to	PART
ap-1855	83	8	show	show	VERB
ap-1855	83	9	that	that	SCONJ
ap-1855	83	10	due	due	ADP
ap-1855	83	11	to	to	ADP
ap-1855	83	12	(	(	PUNCT
ap-1855	83	13	21	21	NUM
ap-1855	83	14	)	)	PUNCT
ap-1855	83	15	the	the	DET
ap-1855	83	16	equivalence	equivalence	NOUN
ap-1855	83	17	of	of	ADP
ap-1855	83	18	(	(	PUNCT
ap-1855	83	19	20	20	NUM
ap-1855	83	20	)	)	PUNCT
ap-1855	83	21	and	and	CCONJ
ap-1855	83	22	(	(	PUNCT
ap-1855	83	23	11	11	NUM
ap-1855	83	24	)	)	PUNCT
ap-1855	83	25	where	where	SCONJ
ap-1855	83	26	rab	rab	NOUN
ap-1855	83	27	=	=	SYM
ap-1855	83	28	rab(m	rab(m	PROPN
ap-1855	83	29	,	,	PUNCT
ap-1855	83	30	f	f	PROPN
ap-1855	83	31	,	,	PUNCT
ap-1855	83	32	f̃	f̃	PROPN
ap-1855	83	33	)	)	PUNCT
ap-1855	83	34	requires	require	VERB
ap-1855	83	35	sab	sab	PROPN
ap-1855	83	36	(	(	PUNCT
ap-1855	83	37	ρ(m	ρ(m	NUM
ap-1855	83	38	)	)	PUNCT
ap-1855	83	39	,	,	PUNCT
ap-1855	83	40	h(f	h(f	PROPN
ap-1855	83	41	,	,	PUNCT
ap-1855	83	42	f̃	f̃	PROPN
ap-1855	83	43	)	)	PUNCT
ap-1855	83	44	)	)	PUNCT
ap-1855	84	1	=	=	SYM
ap-1855	84	2	∂ρab	∂ρab	NOUN
ap-1855	84	3	∂mab	∂mab	X
ap-1855	84	4	(	(	PUNCT
ap-1855	84	5	m	m	NOUN
ap-1855	84	6	)	)	PUNCT
ap-1855	84	7	rba(m	rba(m	PROPN
ap-1855	84	8	t	t	PROPN
ap-1855	84	9	,	,	PUNCT
ap-1855	84	10	f	f	PROPN
ap-1855	84	11	,	,	PUNCT
ap-1855	84	12	f̃	f̃	PROPN
ap-1855	84	13	)	)	PUNCT
ap-1855	84	14	.	.	PUNCT
ap-1855	85	1	(	(	PUNCT
ap-1855	85	2	23	23	X
ap-1855	85	3	)	)	PUNCT
ap-1855	85	4	note	note	VERB
ap-1855	85	5	the	the	DET
ap-1855	85	6	presence	presence	NOUN
ap-1855	85	7	of	of	ADP
ap-1855	85	8	transpositions	transposition	NOUN
ap-1855	85	9	on	on	ADP
ap-1855	85	10	the	the	DET
ap-1855	85	11	right	right	ADJ
ap-1855	85	12	-	-	PUNCT
ap-1855	85	13	hand	hand	NOUN
ap-1855	85	14	side	side	NOUN
ap-1855	85	15	.	.	PUNCT
ap-1855	86	1	by	by	ADP
ap-1855	86	2	construction	construction	NOUN
ap-1855	86	3	—	—	PUNCT
ap-1855	86	4	cf	cf	NOUN
ap-1855	86	5	.	.	PUNCT
ap-1855	86	6	equation	equation	NOUN
ap-1855	86	7	(	(	PUNCT
ap-1855	86	8	4.15	4.15	NUM
ap-1855	86	9	)	)	PUNCT
ap-1855	86	10	of	of	ADP
ap-1855	86	11	[	[	X
ap-1855	86	12	3	3	NUM
ap-1855	86	13	]	]	PUNCT
ap-1855	86	14	—	—	PUNCT
ap-1855	86	15	matrix	matrix	NOUN
ap-1855	86	16	m	m	VERB
ap-1855	86	17	which	which	PRON
ap-1855	86	18	is	be	AUX
ap-1855	86	19	put	put	VERB
ap-1855	86	20	into	into	ADP
ap-1855	86	21	equation	equation	NOUN
ap-1855	86	22	(	(	PUNCT
ap-1855	86	23	21	21	NUM
ap-1855	86	24	)	)	PUNCT
ap-1855	86	25	(	(	PUNCT
ap-1855	86	26	and	and	CCONJ
ap-1855	86	27	thus	thus	ADV
ap-1855	86	28	appears	appear	VERB
ap-1855	86	29	in	in	ADP
ap-1855	86	30	equation	equation	NOUN
ap-1855	86	31	(	(	PUNCT
ap-1855	86	32	20	20	NUM
ap-1855	86	33	)	)	PUNCT
ap-1855	86	34	)	)	PUNCT
ap-1855	86	35	transforms	transform	VERB
ap-1855	86	36	under	under	ADP
ap-1855	86	37	t	t	NOUN
ap-1855	86	38	-	-	PUNCT
ap-1855	86	39	plurality	plurality	NOUN
ap-1855	86	40	as	as	ADP
ap-1855	86	41	in	in	ADP
ap-1855	86	42	(	(	PUNCT
ap-1855	86	43	7	7	NUM
ap-1855	86	44	)	)	PUNCT
ap-1855	86	45	,	,	PUNCT
ap-1855	86	46	i.e.	i.e.	X
ap-1855	86	47	agrees	agree	VERB
ap-1855	86	48	with	with	ADP
ap-1855	86	49	the	the	DET
ap-1855	86	50	convention	convention	NOUN
ap-1855	86	51	used	use	VERB
ap-1855	86	52	here	here	ADV
ap-1855	86	53	for	for	ADP
ap-1855	86	54	the	the	DET
ap-1855	86	55	sigma	sigma	PROPN
ap-1855	86	56	model	model	NOUN
ap-1855	86	57	of	of	ADP
ap-1855	86	58	the	the	DET
ap-1855	86	59	form	form	NOUN
ap-1855	86	60	(	(	PUNCT
ap-1855	86	61	1	1	NUM
ap-1855	86	62	)	)	PUNCT
ap-1855	86	63	.	.	PUNCT
ap-1855	87	1	however	however	ADV
ap-1855	87	2	,	,	PUNCT
ap-1855	87	3	the	the	DET
ap-1855	87	4	sigma	sigma	PROPN
ap-1855	87	5	models	model	VERB
ap-1855	87	6	on	on	ADP
ap-1855	87	7	the	the	DET
ap-1855	87	8	poisson	poisson	NOUN
ap-1855	87	9	–	–	PUNCT
ap-1855	87	10	lie	lie	NOUN
ap-1855	87	11	groups	group	NOUN
ap-1855	87	12	in	in	ADP
ap-1855	87	13	[	[	X
ap-1855	87	14	3	3	NUM
ap-1855	87	15	]	]	PUNCT
ap-1855	87	16	are	be	AUX
ap-1855	87	17	expressed	express	VERB
ap-1855	87	18	in	in	ADP
ap-1855	87	19	a	a	DET
ap-1855	87	20	different	different	ADJ
ap-1855	87	21	convention	convention	NOUN
ap-1855	87	22	,	,	PUNCT
ap-1855	87	23	as	as	ADP
ap-1855	87	24	in	in	ADP
ap-1855	87	25	equation	equation	NOUN
ap-1855	87	26	(	(	PUNCT
ap-1855	87	27	10	10	NUM
ap-1855	87	28	)	)	PUNCT
ap-1855	87	29	here	here	ADV
ap-1855	87	30	.	.	PUNCT
ap-1855	88	1	thus	thus	ADV
ap-1855	88	2	,	,	PUNCT
ap-1855	88	3	a	a	DET
ap-1855	88	4	tacit	tacit	ADJ
ap-1855	88	5	transposition	transposition	NOUN
ap-1855	88	6	of	of	ADP
ap-1855	88	7	matrix	matrix	NOUN
ap-1855	88	8	m	m	VERB
ap-1855	88	9	is	be	AUX
ap-1855	88	10	necessary	necessary	ADJ
ap-1855	88	11	when	when	SCONJ
ap-1855	88	12	comparing	compare	VERB
ap-1855	88	13	the	the	DET
ap-1855	88	14	renormalization	renormalization	NOUN
ap-1855	88	15	group	group	NOUN
ap-1855	88	16	flows	flow	VERB
ap-1855	88	17	on	on	ADP
ap-1855	88	18	the	the	DET
ap-1855	88	19	double	double	ADJ
ap-1855	88	20	and	and	CCONJ
ap-1855	88	21	on	on	ADP
ap-1855	88	22	the	the	DET
ap-1855	88	23	individual	individual	ADJ
ap-1855	88	24	poisson	poisson	NOUN
ap-1855	88	25	–	–	PUNCT
ap-1855	88	26	lie	lie	NOUN
ap-1855	88	27	subgroup	subgroup	NOUN
ap-1855	88	28	in	in	ADP
ap-1855	88	29	[	[	X
ap-1855	88	30	3	3	NUM
ap-1855	88	31	]	]	PUNCT
ap-1855	88	32	.	.	PUNCT
ap-1855	89	1	taking	take	VERB
ap-1855	89	2	this	this	DET
ap-1855	89	3	fact	fact	NOUN
ap-1855	89	4	into	into	ADP
ap-1855	89	5	consideration	consideration	NOUN
ap-1855	89	6	we	we	PRON
ap-1855	89	7	were	be	AUX
ap-1855	89	8	able	able	ADJ
ap-1855	89	9	to	to	PART
ap-1855	89	10	recover	recover	VERB
ap-1855	89	11	the	the	DET
ap-1855	89	12	examples	example	NOUN
ap-1855	89	13	presented	present	VERB
ap-1855	89	14	in	in	ADP
ap-1855	89	15	[	[	X
ap-1855	89	16	3	3	NUM
ap-1855	89	17	]	]	PUNCT
ap-1855	89	18	and	and	CCONJ
ap-1855	89	19	also	also	ADV
ap-1855	89	20	confirm	confirm	VERB
ap-1855	89	21	the	the	DET
ap-1855	89	22	conjectured	conjecture	VERB
ap-1855	89	23	equivalence	equivalence	NOUN
ap-1855	89	24	of	of	ADP
ap-1855	89	25	the	the	DET
ap-1855	89	26	renormalization	renormalization	NOUN
ap-1855	89	27	group	group	NOUN
ap-1855	89	28	equations	equation	NOUN
ap-1855	89	29	(	(	PUNCT
ap-1855	89	30	20	20	NUM
ap-1855	89	31	)	)	PUNCT
ap-1855	89	32	and	and	CCONJ
ap-1855	89	33	(	(	PUNCT
ap-1855	89	34	11	11	NUM
ap-1855	89	35	)	)	PUNCT
ap-1855	89	36	in	in	ADP
ap-1855	89	37	all	all	DET
ap-1855	89	38	the	the	DET
ap-1855	89	39	investigated	investigated	ADJ
ap-1855	89	40	4and	4and	PROPN
ap-1855	89	41	6	6	NUM
ap-1855	89	42	-	-	PUNCT
ap-1855	89	43	dimensional	dimensional	ADJ
ap-1855	89	44	drinfel’d	drinfel’d	NOUN
ap-1855	89	45	doubles	double	VERB
ap-1855	89	46	.	.	PUNCT
ap-1855	90	1	4	4	X
ap-1855	90	2	.	.	X
ap-1855	90	3	non	non	ADJ
ap-1855	90	4	-	-	ADJ
ap-1855	90	5	uniqueness	uniqueness	NOUN
ap-1855	90	6	of	of	ADP
ap-1855	90	7	the	the	DET
ap-1855	90	8	renormalization	renormalization	NOUN
ap-1855	90	9	group	group	NOUN
ap-1855	90	10	equations	equation	NOUN
ap-1855	90	11	it	it	PRON
ap-1855	90	12	was	be	AUX
ap-1855	90	13	noted	note	VERB
ap-1855	90	14	in	in	ADP
ap-1855	90	15	the	the	DET
ap-1855	90	16	paper	paper	NOUN
ap-1855	91	1	[	[	X
ap-1855	91	2	1	1	X
ap-1855	91	3	]	]	PUNCT
ap-1855	91	4	that	that	SCONJ
ap-1855	91	5	there	there	PRON
ap-1855	91	6	is	be	VERB
ap-1855	91	7	a	a	DET
ap-1855	91	8	certain	certain	ADJ
ap-1855	91	9	ambiguity	ambiguity	NOUN
ap-1855	91	10	in	in	ADP
ap-1855	91	11	the	the	DET
ap-1855	91	12	one	one	NUM
ap-1855	91	13	-	-	PUNCT
ap-1855	91	14	loop	loop	NOUN
ap-1855	91	15	renormalization	renormalization	NOUN
ap-1855	91	16	group	group	NOUN
ap-1855	91	17	equations	equation	NOUN
ap-1855	91	18	.	.	PUNCT
ap-1855	92	1	namely	namely	ADV
ap-1855	92	2	,	,	PUNCT
ap-1855	92	3	the	the	DET
ap-1855	92	4	flow	flow	NOUN
ap-1855	92	5	given	give	VERB
ap-1855	92	6	by	by	ADP
ap-1855	92	7	equation	equation	NOUN
ap-1855	92	8	(	(	PUNCT
ap-1855	92	9	11	11	NUM
ap-1855	92	10	)	)	PUNCT
ap-1855	92	11	is	be	AUX
ap-1855	92	12	physically	physically	ADV
ap-1855	92	13	equivalent	equivalent	ADJ
ap-1855	92	14	to	to	ADP
ap-1855	92	15	the	the	DET
ap-1855	92	16	flow	flow	NOUN
ap-1855	92	17	given	give	VERB
ap-1855	92	18	by	by	ADP
ap-1855	92	19	the	the	DET
ap-1855	92	20	equation	equation	NOUN
ap-1855	93	1	dm	dm	X
ap-1855	93	2	ba	ba	NOUN
ap-1855	93	3	dt	dt	NOUN
ap-1855	94	1	=	=	PUNCT
ap-1855	94	2	rab(m	rab(m	PROPN
ap-1855	94	3	t	t	PROPN
ap-1855	94	4	)	)	PUNCT
ap-1855	95	1	+	+	PROPN
ap-1855	95	2	rab	rab	PROPN
ap-1855	95	3	c(m	c(m	PROPN
ap-1855	95	4	t	t	PROPN
ap-1855	95	5	)	)	PUNCT
ap-1855	95	6	ξc	ξc	NOUN
ap-1855	95	7	,	,	PUNCT
ap-1855	95	8	(	(	PUNCT
ap-1855	95	9	24	24	NUM
ap-1855	95	10	)	)	PUNCT
ap-1855	95	11	where	where	SCONJ
ap-1855	95	12	ξc	ξc	NOUN
ap-1855	95	13	are	be	AUX
ap-1855	95	14	arbitrary	arbitrary	ADJ
ap-1855	95	15	functions	function	NOUN
ap-1855	95	16	of	of	ADP
ap-1855	95	17	the	the	DET
ap-1855	95	18	renormalization	renormalization	NOUN
ap-1855	95	19	scale	scale	NOUN
ap-1855	95	20	t	t	PROPN
ap-1855	95	21	and	and	CCONJ
ap-1855	95	22	rab	rab	PROPN
ap-1855	95	23	c(m	c(m	PROPN
ap-1855	95	24	)	)	PUNCT
ap-1855	95	25	were	be	AUX
ap-1855	95	26	defined	define	VERB
ap-1855	95	27	in	in	ADP
ap-1855	95	28	(	(	PUNCT
ap-1855	95	29	13	13	NUM
ap-1855	95	30	)	)	PUNCT
ap-1855	95	31	.	.	PUNCT
ap-1855	96	1	the	the	DET
ap-1855	96	2	origin	origin	NOUN
ap-1855	96	3	of	of	ADP
ap-1855	96	4	this	this	DET
ap-1855	96	5	arbitrariness	arbitrariness	NOUN
ap-1855	96	6	in	in	ADP
ap-1855	96	7	ξc	ξc	NOUN
ap-1855	96	8	lies	lie	NOUN
ap-1855	96	9	in	in	ADP
ap-1855	96	10	the	the	DET
ap-1855	96	11	fact	fact	NOUN
ap-1855	96	12	that	that	SCONJ
ap-1855	96	13	the	the	DET
ap-1855	96	14	metric	metric	ADJ
ap-1855	96	15	and	and	CCONJ
ap-1855	96	16	b	b	NOUN
ap-1855	96	17	-	-	PUNCT
ap-1855	96	18	field	field	NOUN
ap-1855	96	19	are	be	AUX
ap-1855	96	20	determined	determine	VERB
ap-1855	96	21	up	up	ADP
ap-1855	96	22	to	to	ADP
ap-1855	96	23	the	the	DET
ap-1855	96	24	choice	choice	NOUN
ap-1855	96	25	of	of	ADP
ap-1855	96	26	coordinates	coordinate	NOUN
ap-1855	96	27	,	,	PUNCT
ap-1855	96	28	i.e.	i.e.	X
ap-1855	96	29	up	up	ADP
ap-1855	96	30	to	to	ADP
ap-1855	96	31	a	a	DET
ap-1855	96	32	diffeomorphism	diffeomorphism	NOUN
ap-1855	96	33	,	,	PUNCT
ap-1855	96	34	of	of	ADP
ap-1855	96	35	the	the	DET
ap-1855	96	36	group	group	NOUN
ap-1855	96	37	g	g	PROPN
ap-1855	96	38	viewed	view	VERB
ap-1855	96	39	as	as	ADP
ap-1855	96	40	a	a	DET
ap-1855	96	41	manifold	manifold	NOUN
ap-1855	96	42	.	.	PUNCT
ap-1855	97	1	in	in	ADP
ap-1855	97	2	our	our	PRON
ap-1855	97	3	case	case	NOUN
ap-1855	97	4	we	we	PRON
ap-1855	97	5	may	may	AUX
ap-1855	97	6	in	in	ADP
ap-1855	97	7	addition	addition	NOUN
ap-1855	97	8	require	require	VERB
ap-1855	97	9	that	that	SCONJ
ap-1855	97	10	the	the	DET
ap-1855	97	11	transformed	transform	VERB
ap-1855	97	12	action	action	NOUN
ap-1855	97	13	again	again	ADV
ap-1855	97	14	takes	take	VERB
ap-1855	97	15	the	the	DET
ap-1855	97	16	form	form	NOUN
ap-1855	97	17	(	(	PUNCT
ap-1855	97	18	1)–(2	1)–(2	NUM
ap-1855	97	19	)	)	PUNCT
ap-1855	97	20	for	for	ADP
ap-1855	97	21	some	some	DET
ap-1855	97	22	matrix	matrix	NOUN
ap-1855	97	23	m	m	VERB
ap-1855	97	24	′.	′.	NOUN
ap-1855	97	25	on	on	ADP
ap-1855	97	26	the	the	DET
ap-1855	97	27	other	other	ADJ
ap-1855	97	28	hand	hand	NOUN
ap-1855	97	29	,	,	PUNCT
ap-1855	97	30	we	we	PRON
ap-1855	97	31	do	do	AUX
ap-1855	97	32	not	not	PART
ap-1855	97	33	have	have	VERB
ap-1855	97	34	to	to	PART
ap-1855	97	35	require	require	VERB
ap-1855	97	36	the	the	DET
ap-1855	97	37	diffeomorphism	diffeomorphism	NOUN
ap-1855	97	38	to	to	PART
ap-1855	97	39	be	be	AUX
ap-1855	97	40	a	a	DET
ap-1855	97	41	group	group	NOUN
ap-1855	97	42	homomorphism	homomorphism	NOUN
ap-1855	97	43	because	because	SCONJ
ap-1855	97	44	the	the	DET
ap-1855	97	45	group	group	NOUN
ap-1855	97	46	structure	structure	NOUN
ap-1855	97	47	plays	play	VERB
ap-1855	97	48	only	only	ADV
ap-1855	97	49	an	an	DET
ap-1855	97	50	auxiliary	auxiliary	ADJ
ap-1855	97	51	role	role	NOUN
ap-1855	97	52	in	in	ADP
ap-1855	97	53	the	the	DET
ap-1855	97	54	physical	physical	ADJ
ap-1855	97	55	interpretation	interpretation	NOUN
ap-1855	97	56	.	.	PUNCT
ap-1855	98	1	for	for	ADP
ap-1855	98	2	example	example	NOUN
ap-1855	98	3	,	,	PUNCT
ap-1855	98	4	in	in	ADP
ap-1855	98	5	the	the	DET
ap-1855	98	6	particular	particular	ADJ
ap-1855	98	7	case	case	NOUN
ap-1855	98	8	of	of	ADP
ap-1855	98	9	the	the	DET
ap-1855	98	10	semiabelian	semiabelian	ADJ
ap-1855	98	11	double	double	ADJ
ap-1855	98	12	,	,	PUNCT
ap-1855	98	13	i.e.	i.e.	X
ap-1855	98	14	f̃	f̃	PROPN
ap-1855	98	15	=	=	SYM
ap-1855	98	16	0	0	PROPN
ap-1855	98	17	,	,	PUNCT
ap-1855	98	18	π	π	NOUN
ap-1855	98	19	=	=	SYM
ap-1855	98	20	0	0	NUM
ap-1855	98	21	,	,	PUNCT
ap-1855	98	22	with	with	ADP
ap-1855	98	23	a	a	DET
ap-1855	98	24	symmetric	symmetric	ADJ
ap-1855	98	25	matrix	matrix	NOUN
ap-1855	98	26	m	m	NOUN
ap-1855	98	27	,	,	PUNCT
ap-1855	98	28	the	the	DET
ap-1855	98	29	left	left	ADJ
ap-1855	98	30	translation	translation	NOUN
ap-1855	98	31	by	by	ADP
ap-1855	98	32	an	an	DET
ap-1855	98	33	arbitrary	arbitrary	ADJ
ap-1855	98	34	group	group	NOUN
ap-1855	98	35	element	element	NOUN
ap-1855	98	36	h	h	NOUN
ap-1855	98	37	=	=	SYM
ap-1855	98	38	exp(x	exp(x	PROPN
ap-1855	98	39	)	)	PUNCT
ap-1855	98	40	∈	∈	PROPN
ap-1855	98	41	g	g	NOUN
ap-1855	98	42	,	,	PUNCT
ap-1855	98	43	i.e.	i.e.	X
ap-1855	98	44	replacement	replacement	NOUN
ap-1855	98	45	of	of	ADP
ap-1855	98	46	g	g	NOUN
ap-1855	98	47	by	by	ADP
ap-1855	98	48	hg	hg	NOUN
ap-1855	98	49	in	in	ADP
ap-1855	98	50	the	the	DET
ap-1855	98	51	action	action	NOUN
ap-1855	98	52	(	(	PUNCT
ap-1855	98	53	1	1	NUM
ap-1855	98	54	)	)	PUNCT
ap-1855	98	55	,	,	PUNCT
ap-1855	98	56	leads	lead	VERB
ap-1855	98	57	to	to	ADP
ap-1855	98	58	the	the	DET
ap-1855	98	59	new	new	ADJ
ap-1855	98	60	matrix	matrix	NOUN
ap-1855	98	61	m	m	VERB
ap-1855	98	62	′	′	NOUN
ap-1855	98	63	=	=	PUNCT
ap-1855	98	64	ad(h	ad(h	X
ap-1855	98	65	)	)	PUNCT
ap-1855	98	66	·	·	PUNCT
ap-1855	98	67	m	m	X
ap-1855	98	68	·	·	PUNCT
ap-1855	98	69	ad(h	ad(h	X
ap-1855	98	70	)	)	PUNCT
ap-1855	98	71	,	,	PUNCT
ap-1855	98	72	specifying	specify	VERB
ap-1855	98	73	a	a	DET
ap-1855	98	74	metric	metric	ADJ
ap-1855	98	75	physically	physically	ADV
ap-1855	98	76	equivalent	equivalent	ADJ
ap-1855	98	77	to	to	ADP
ap-1855	98	78	the	the	DET
ap-1855	98	79	original	original	ADJ
ap-1855	98	80	one	one	NUM
ap-1855	98	81	.	.	PUNCT
ap-1855	99	1	such	such	DET
ap-1855	99	2	a	a	DET
ap-1855	99	3	diffeomorphism	diffeomorphism	NOUN
ap-1855	99	4	is	be	AUX
ap-1855	99	5	generated	generate	VERB
ap-1855	99	6	by	by	ADP
ap-1855	99	7	the	the	DET
ap-1855	99	8	flow	flow	NOUN
ap-1855	99	9	of	of	ADP
ap-1855	99	10	the	the	DET
ap-1855	99	11	left	left	ADJ
ap-1855	99	12	-	-	PUNCT
ap-1855	99	13	invariant	invariant	ADJ
ap-1855	99	14	vector	vector	NOUN
ap-1855	99	15	field	field	NOUN
ap-1855	99	16	x.	x.	NOUN
ap-1855	99	17	for	for	ADP
ap-1855	99	18	general	general	ADJ
ap-1855	99	19	manin	manin	PROPN
ap-1855	99	20	triples	triple	NOUN
ap-1855	99	21	and	and	CCONJ
ap-1855	99	22	matrices	matrix	NOUN
ap-1855	99	23	m	m	VERB
ap-1855	99	24	similar	similar	ADJ
ap-1855	99	25	transformations	transformation	NOUN
ap-1855	99	26	are	be	AUX
ap-1855	99	27	generated	generate	VERB
ap-1855	99	28	by	by	ADP
ap-1855	99	29	more	more	ADV
ap-1855	99	30	complicated	complicated	ADJ
ap-1855	99	31	vector	vector	NOUN
ap-1855	99	32	fields	field	NOUN
ap-1855	99	33	parameterized	parameterize	VERB
ap-1855	99	34	by	by	ADP
ap-1855	99	35	ξc	ξc	PROPN
ap-1855	99	36	,	,	PUNCT
ap-1855	99	37	as	as	SCONJ
ap-1855	99	38	was	be	AUX
ap-1855	99	39	found	find	VERB
ap-1855	99	40	in	in	ADP
ap-1855	99	41	[	[	X
ap-1855	99	42	1	1	NUM
ap-1855	99	43	]	]	PUNCT
ap-1855	99	44	.	.	PUNCT
ap-1855	100	1	thus	thus	ADV
ap-1855	100	2	the	the	DET
ap-1855	100	3	renormalization	renormalization	NOUN
ap-1855	100	4	group	group	NOUN
ap-1855	100	5	flows	flow	VERB
ap-1855	100	6	(	(	PUNCT
ap-1855	100	7	24	24	NUM
ap-1855	100	8	)	)	PUNCT
ap-1855	100	9	differing	differ	VERB
ap-1855	100	10	by	by	ADP
ap-1855	100	11	the	the	DET
ap-1855	100	12	choice	choice	NOUN
ap-1855	100	13	of	of	ADP
ap-1855	100	14	ξc	ξc	NOUN
ap-1855	100	15	are	be	AUX
ap-1855	100	16	physically	physically	ADV
ap-1855	100	17	equivalent	equivalent	ADJ
ap-1855	100	18	.	.	PUNCT
ap-1855	101	1	consistency	consistency	NOUN
ap-1855	101	2	under	under	ADP
ap-1855	101	3	the	the	DET
ap-1855	101	4	poisson	poisson	NOUN
ap-1855	101	5	–	–	PUNCT
ap-1855	101	6	lie	lie	NOUN
ap-1855	101	7	t	t	PROPN
ap-1855	101	8	-	-	PUNCT
ap-1855	101	9	plurality	plurality	NOUN
ap-1855	101	10	requires	require	VERB
ap-1855	101	11	that	that	SCONJ
ap-1855	101	12	the	the	DET
ap-1855	101	13	functions	function	NOUN
ap-1855	101	14	ξ̂c	ξ̂c	VERB
ap-1855	101	15	for	for	ADP
ap-1855	101	16	the	the	DET
ap-1855	101	17	plural	plural	ADJ
ap-1855	101	18	model	model	NOUN
ap-1855	101	19	satisfy	satisfy	PROPN
ap-1855	101	20	r̂(m̂	r̂(m̂	PROPN
ap-1855	101	21	t	t	PROPN
ap-1855	101	22	)	)	PUNCT
ap-1855	101	23	·	·	PUNCT
ap-1855	101	24	ξ̂	ξ̂	X
ap-1855	102	1	=	=	SYM
ap-1855	102	2	(	(	PUNCT
ap-1855	102	3	s	s	NOUN
ap-1855	102	4	−m	−m	NOUN
ap-1855	102	5	t	t	NOUN
ap-1855	102	6	·	·	PUNCT
ap-1855	102	7	q)−1	q)−1	NOUN
ap-1855	102	8	·	·	PUNCT
ap-1855	102	9	(	(	PUNCT
ap-1855	102	10	r(m	r(m	PROPN
ap-1855	102	11	t	t	PROPN
ap-1855	102	12	)	)	PUNCT
ap-1855	102	13	·	·	PUNCT
ap-1855	102	14	ξ	ξ	X
ap-1855	102	15	)	)	PUNCT
ap-1855	102	16	·	·	PUNCT
ap-1855	103	1	(	(	PUNCT
ap-1855	103	2	k	k	X
ap-1855	103	3	+	+	PROPN
ap-1855	103	4	q	q	X
ap-1855	103	5	·	·	PUNCT
ap-1855	103	6	m̂	m̂	PROPN
ap-1855	103	7	t	t	PROPN
ap-1855	103	8	)	)	PUNCT
ap-1855	103	9	.	.	PUNCT
ap-1855	104	1	(	(	PUNCT
ap-1855	104	2	25	25	NUM
ap-1855	104	3	)	)	PUNCT
ap-1855	104	4	for	for	ADP
ap-1855	104	5	the	the	DET
ap-1855	104	6	poisson	poisson	NOUN
ap-1855	104	7	–	–	PUNCT
ap-1855	104	8	lie	lie	NOUN
ap-1855	104	9	t	t	PROPN
ap-1855	104	10	-	-	PUNCT
ap-1855	104	11	duality	duality	NOUN
ap-1855	104	12	this	this	DET
ap-1855	104	13	formula	formula	NOUN
ap-1855	104	14	simplifies	simplifie	NOUN
ap-1855	104	15	to	to	PART
ap-1855	104	16	r̃(m̃	r̃(m̃	PROPN
ap-1855	104	17	t	t	PROPN
ap-1855	104	18	)	)	PUNCT
ap-1855	104	19	·	·	PUNCT
ap-1855	105	1	(	(	PUNCT
ap-1855	105	2	ξ̃	ξ̃	NUM
ap-1855	105	3	+	+	CCONJ
ap-1855	105	4	m̃	m̃	PROPN
ap-1855	105	5	t	t	X
ap-1855	105	6	·	·	PUNCT
ap-1855	105	7	ξ	ξ	X
ap-1855	105	8	)	)	PUNCT
ap-1855	105	9	=	=	SYM
ap-1855	105	10	0	0	X
ap-1855	105	11	.	.	PUNCT
ap-1855	106	1	freedom	freedom	NOUN
ap-1855	106	2	in	in	ADP
ap-1855	106	3	the	the	DET
ap-1855	106	4	choice	choice	NOUN
ap-1855	106	5	of	of	ADP
ap-1855	106	6	functions	function	NOUN
ap-1855	106	7	ξa	ξa	PRON
ap-1855	106	8	can	can	AUX
ap-1855	106	9	be	be	AUX
ap-1855	106	10	employed	employ	VERB
ap-1855	106	11	when	when	SCONJ
ap-1855	106	12	compatibility	compatibility	NOUN
ap-1855	106	13	of	of	ADP
ap-1855	106	14	the	the	DET
ap-1855	106	15	renormalization	renormalization	NOUN
ap-1855	106	16	group	group	NOUN
ap-1855	106	17	equation	equation	NOUN
ap-1855	106	18	flow	flow	VERB
ap-1855	106	19	with	with	ADP
ap-1855	106	20	a	a	DET
ap-1855	106	21	chosen	choose	VERB
ap-1855	106	22	ansatz	ansatz	ADJ
ap-1855	106	23	(	(	PUNCT
ap-1855	106	24	truncation	truncation	NOUN
ap-1855	106	25	)	)	PUNCT
ap-1855	106	26	for	for	ADP
ap-1855	106	27	the	the	DET
ap-1855	106	28	matrix	matrix	NOUN
ap-1855	106	29	m	m	VERB
ap-1855	106	30	is	be	AUX
ap-1855	106	31	sought	seek	VERB
ap-1855	106	32	.	.	PUNCT
ap-1855	107	1	4.1	4.1	NUM
ap-1855	107	2	.	.	PUNCT
ap-1855	107	3	renormalizable	renormalizable	ADJ
ap-1855	107	4	σ	σ	NOUN
ap-1855	107	5	-	-	PUNCT
ap-1855	107	6	models	model	NOUN
ap-1855	107	7	for	for	ADP
ap-1855	107	8	m	m	NOUN
ap-1855	107	9	proportional	proportional	ADJ
ap-1855	107	10	to	to	ADP
ap-1855	107	11	the	the	DET
ap-1855	107	12	unit	unit	NOUN
ap-1855	107	13	or	or	CCONJ
ap-1855	107	14	diagonal	diagonal	ADJ
ap-1855	107	15	matrix	matrix	NOUN
ap-1855	107	16	the	the	DET
ap-1855	107	17	simplest	simple	ADJ
ap-1855	107	18	ansatz	ansatz	NOUN
ap-1855	107	19	for	for	ADP
ap-1855	107	20	the	the	DET
ap-1855	107	21	constant	constant	ADJ
ap-1855	107	22	matrix	matrix	NOUN
ap-1855	107	23	is	be	AUX
ap-1855	107	24	m	m	NOUN
ap-1855	107	25	=	=	NOUN
ap-1855	107	26	m1	m1	NOUN
ap-1855	107	27	where	where	SCONJ
ap-1855	107	28	1	1	NUM
ap-1855	107	29	is	be	AUX
ap-1855	107	30	the	the	DET
ap-1855	107	31	identity	identity	NOUN
ap-1855	107	32	matrix	matrix	NOUN
ap-1855	107	33	and	and	CCONJ
ap-1855	107	34	m	m	PROPN
ap-1855	107	35	6=	6=	PROPN
ap-1855	107	36	0	0	NUM
ap-1855	107	37	.	.	PUNCT
ap-1855	108	1	as	as	SCONJ
ap-1855	108	2	mentioned	mention	VERB
ap-1855	108	3	in	in	ADP
ap-1855	108	4	the	the	DET
ap-1855	108	5	introduction	introduction	NOUN
ap-1855	108	6	,	,	PUNCT
ap-1855	108	7	truncation	truncation	NOUN
ap-1855	108	8	or	or	CCONJ
ap-1855	108	9	symmetry	symmetry	NOUN
ap-1855	108	10	of	of	ADP
ap-1855	108	11	the	the	DET
ap-1855	108	12	constant	constant	ADJ
ap-1855	108	13	matrix	matrix	NOUN
ap-1855	108	14	m	m	VERB
ap-1855	108	15	that	that	PRON
ap-1855	108	16	determines	determine	VERB
ap-1855	108	17	the	the	DET
ap-1855	108	18	background	background	NOUN
ap-1855	108	19	of	of	ADP
ap-1855	108	20	the	the	DET
ap-1855	108	21	σ	σ	PROPN
ap-1855	108	22	-	-	PUNCT
ap-1855	108	23	model	model	NOUN
ap-1855	108	24	often	often	ADV
ap-1855	108	25	contradicts	contradict	VERB
ap-1855	108	26	the	the	DET
ap-1855	108	27	form	form	NOUN
ap-1855	108	28	of	of	ADP
ap-1855	108	29	the	the	DET
ap-1855	108	30	r.h.s	r.h.s	NOUN
ap-1855	108	31	.	.	PUNCT
ap-1855	109	1	of	of	ADP
ap-1855	109	2	the	the	DET
ap-1855	109	3	renormalization	renormalization	NOUN
ap-1855	109	4	group	group	NOUN
ap-1855	109	5	equations	equation	NOUN
ap-1855	109	6	435	435	NUM
ap-1855	109	7	l.	l.	PROPN
ap-1855	109	8	hlavatý	hlavatý	PROPN
ap-1855	109	9	,	,	PUNCT
ap-1855	109	10	j.	j.	PROPN
ap-1855	109	11	navrátil	navrátil	PROPN
ap-1855	109	12	,	,	PUNCT
ap-1855	109	13	l.	l.	PROPN
ap-1855	109	14	šnobl	šnobl	PROPN
ap-1855	109	15	acta	acta	PROPN
ap-1855	109	16	polytechnica	polytechnica	PROPN
ap-1855	109	17	manin	manin	PROPN
ap-1855	109	18	triple	triple	ADJ
ap-1855	109	19	conditions	condition	NOUN
ap-1855	109	20	on	on	ADP
ap-1855	109	21	ξ1	ξ1	NOUN
ap-1855	109	22	and/or	and/or	CCONJ
ap-1855	109	23	m	m	PROPN
ap-1855	109	24	and	and	CCONJ
ap-1855	109	25	their	their	PRON
ap-1855	109	26	duals	dual	NOUN
ap-1855	109	27	(	(	PUNCT
ap-1855	109	28	1|1	1|1	X
ap-1855	109	29	)	)	PUNCT
ap-1855	109	30	dm	dm	NOUN
ap-1855	109	31	dt	dt	NOUN
ap-1855	109	32	=	=	SYM
ap-1855	109	33	0	0	NUM
ap-1855	109	34	,	,	PUNCT
ap-1855	109	35	ξ1	ξ1	NOUN
ap-1855	109	36	=	=	SYM
ap-1855	109	37	0	0	NUM
ap-1855	109	38	,	,	PUNCT
ap-1855	109	39	(	(	PUNCT
ap-1855	109	40	3|3.i|b	3|3.i|b	X
ap-1855	109	41	)	)	PUNCT
ap-1855	109	42	dm	dm	NOUN
ap-1855	109	43	dt	dt	NOUN
ap-1855	109	44	=	=	SYM
ap-1855	109	45	0	0	NUM
ap-1855	109	46	,	,	PUNCT
ap-1855	109	47	ξ1	ξ1	NOUN
ap-1855	109	48	=	=	SYM
ap-1855	109	49	0	0	NUM
ap-1855	109	50	,	,	PUNCT
ap-1855	109	51	m	m	VERB
ap-1855	109	52	=	=	SYM
ap-1855	109	53	±b	±b	PROPN
ap-1855	109	54	,	,	PUNCT
ap-1855	109	55	(	(	PUNCT
ap-1855	109	56	5|1	5|1	NOUN
ap-1855	109	57	)	)	PUNCT
ap-1855	109	58	dm	dm	NOUN
ap-1855	109	59	dt	dt	NOUN
ap-1855	109	60	=	=	SYM
ap-1855	109	61	2m2	2m2	NUM
ap-1855	109	62	,	,	PUNCT
ap-1855	109	63	ξ1	ξ1	NOUN
ap-1855	109	64	=	=	PUNCT
ap-1855	109	65	2	2	NUM
ap-1855	109	66	m	m	NOUN
ap-1855	109	67	,	,	PUNCT
ap-1855	109	68	(	(	PUNCT
ap-1855	109	69	60|5.iii|b	60|5.iii|b	NUM
ap-1855	109	70	)	)	PUNCT
ap-1855	110	1	dm	dm	NOUN
ap-1855	110	2	dt	dt	NOUN
ap-1855	110	3	=	=	SYM
ap-1855	110	4	0	0	NUM
ap-1855	110	5	,	,	PUNCT
ap-1855	110	6	ξ1	ξ1	NOUN
ap-1855	110	7	=	=	SYM
ap-1855	110	8	0	0	NUM
ap-1855	110	9	,	,	PUNCT
ap-1855	110	10	m	m	VERB
ap-1855	110	11	=	=	SYM
ap-1855	110	12	±b	±b	PROPN
ap-1855	110	13	,	,	PUNCT
ap-1855	110	14	(	(	PUNCT
ap-1855	110	15	6a|61	6a|61	NOUN
ap-1855	110	16	/	/	SYM
ap-1855	110	17	a.i|b	a.i|b	NUM
ap-1855	110	18	)	)	PUNCT
ap-1855	110	19	dm	dm	NOUN
ap-1855	110	20	dt	dt	NOUN
ap-1855	110	21	=	=	SYM
ap-1855	110	22	0	0	NUM
ap-1855	110	23	,	,	PUNCT
ap-1855	110	24	ξ1	ξ1	NOUN
ap-1855	110	25	=	=	SYM
ap-1855	110	26	0	0	NUM
ap-1855	110	27	,	,	PUNCT
ap-1855	110	28	m	m	VERB
ap-1855	110	29	=	=	SYM
ap-1855	110	30	±b	±b	PROPN
ap-1855	110	31	/	/	SYM
ap-1855	110	32	a	a	PRON
ap-1855	110	33	,	,	PUNCT
ap-1855	110	34	(	(	PUNCT
ap-1855	110	35	6a|61	6a|61	NUM
ap-1855	110	36	/	/	SYM
ap-1855	110	37	a.i|b	a.i|b	NUM
ap-1855	110	38	)	)	PUNCT
ap-1855	110	39	dm	dm	NOUN
ap-1855	110	40	dt	dt	NOUN
ap-1855	110	41	=	=	SYM
ap-1855	110	42	2b2(a2	2b2(a2	NUM
ap-1855	110	43	−	−	PROPN
ap-1855	110	44	1	1	NUM
ap-1855	110	45	a2	a2	PROPN
ap-1855	110	46	)	)	PUNCT
ap-1855	110	47	,	,	PUNCT
ap-1855	110	48	ξ1	ξ1	NOUN
ap-1855	110	49	=	=	PUNCT
ap-1855	110	50	−2b(a+	−2b(a+	NOUN
ap-1855	110	51	1	1	NUM
ap-1855	110	52	a	a	NOUN
ap-1855	110	53	)	)	PUNCT
ap-1855	110	54	,	,	PUNCT
ap-1855	110	55	m	m	VERB
ap-1855	110	56	=	=	SYM
ap-1855	110	57	−b	−b	ADJ
ap-1855	110	58	,	,	PUNCT
ap-1855	110	59	(	(	PUNCT
ap-1855	110	60	7a|1	7a|1	NUM
ap-1855	110	61	)	)	PUNCT
ap-1855	110	62	dm	dm	NOUN
ap-1855	110	63	dt	dt	NOUN
ap-1855	110	64	=	=	SYM
ap-1855	110	65	2a2m2	2a2m2	NUM
ap-1855	110	66	,	,	PUNCT
ap-1855	110	67	ξ1	ξ1	NOUN
ap-1855	110	68	=	=	SYM
ap-1855	110	69	2	2	NUM
ap-1855	110	70	am	am	ADV
ap-1855	110	71	,	,	PUNCT
ap-1855	110	72	a	a	DET
ap-1855	110	73	≥	≥	NOUN
ap-1855	110	74	0	0	NUM
ap-1855	110	75	,	,	PUNCT
ap-1855	110	76	(	(	PUNCT
ap-1855	110	77	7a|71	7a|71	NOUN
ap-1855	110	78	/	/	SYM
ap-1855	110	79	a|b	a|b	NOUN
ap-1855	110	80	)	)	PUNCT
ap-1855	110	81	dm	dm	INTJ
ap-1855	110	82	dt	dt	NOUN
ap-1855	110	83	=	=	SYM
ap-1855	110	84	2(m2	2(m2	PROPN
ap-1855	110	85	−	−	PROPN
ap-1855	110	86	b2	b2	NOUN
ap-1855	110	87	)	)	PUNCT
ap-1855	110	88	,	,	PUNCT
ap-1855	110	89	ξ1	ξ1	NOUN
ap-1855	110	90	=	=	PUNCT
ap-1855	110	91	2(m−	2(m−	NUM
ap-1855	110	92	b	b	NOUN
ap-1855	110	93	)	)	PUNCT
ap-1855	110	94	,	,	PUNCT
ap-1855	110	95	a	a	DET
ap-1855	110	96	=	=	NOUN
ap-1855	110	97	1	1	NUM
ap-1855	110	98	,	,	PUNCT
ap-1855	110	99	(	(	PUNCT
ap-1855	110	100	9|1	9|1	NUM
ap-1855	110	101	)	)	PUNCT
ap-1855	110	102	dm	dm	NOUN
ap-1855	110	103	dt	dt	NOUN
ap-1855	110	104	=	=	SYM
ap-1855	110	105	−m2/2	−m2/2	PROPN
ap-1855	110	106	,	,	PUNCT
ap-1855	110	107	ξ1	ξ1	NOUN
ap-1855	110	108	=	=	SYM
ap-1855	110	109	0	0	NUM
ap-1855	110	110	,	,	PUNCT
ap-1855	110	111	(	(	PUNCT
ap-1855	110	112	9|5|b	9|5|b	NOUN
ap-1855	110	113	)	)	PUNCT
ap-1855	110	114	dm	dm	NOUN
ap-1855	110	115	dt	dt	NOUN
ap-1855	110	116	=	=	SYM
ap-1855	110	117	−	−	PROPN
ap-1855	110	118	1	1	NUM
ap-1855	110	119	2	2	NUM
ap-1855	110	120	m	m	NUM
ap-1855	110	121	2	2	NUM
ap-1855	110	122	−	−	PROPN
ap-1855	110	123	2b2	2b2	NUM
ap-1855	110	124	,	,	PUNCT
ap-1855	110	125	ξ1	ξ1	NOUN
ap-1855	110	126	=	=	SYM
ap-1855	110	127	−2b	−2b	NUM
ap-1855	110	128	table	table	NOUN
ap-1855	110	129	1	1	NUM
ap-1855	110	130	.	.	PUNCT
ap-1855	110	131	conditions	condition	NOUN
ap-1855	110	132	for	for	ADP
ap-1855	110	133	consistency	consistency	NOUN
ap-1855	110	134	of	of	ADP
ap-1855	110	135	the	the	DET
ap-1855	110	136	one	one	NUM
ap-1855	110	137	-	-	PUNCT
ap-1855	110	138	loop	loop	NOUN
ap-1855	110	139	renormalization	renormalization	NOUN
ap-1855	110	140	group	group	NOUN
ap-1855	110	141	equations	equation	NOUN
ap-1855	110	142	for	for	ADP
ap-1855	110	143	three	three	NUM
ap-1855	110	144	-	-	PUNCT
ap-1855	110	145	dimensional	dimensional	ADJ
ap-1855	110	146	σ	σ	NOUN
ap-1855	110	147	-	-	PUNCT
ap-1855	110	148	models	model	NOUN
ap-1855	110	149	with	with	ADP
ap-1855	110	150	m	m	PROPN
ap-1855	110	151	proportional	proportional	ADJ
ap-1855	110	152	to	to	ADP
ap-1855	110	153	the	the	DET
ap-1855	110	154	unit	unit	NOUN
ap-1855	110	155	matrix	matrix	NOUN
ap-1855	110	156	(	(	PUNCT
ap-1855	110	157	for	for	ADP
ap-1855	110	158	notation	notation	NOUN
ap-1855	110	159	of	of	ADP
ap-1855	110	160	(	(	PUNCT
ap-1855	110	161	x|y	x|y	PROPN
ap-1855	110	162	)	)	PUNCT
ap-1855	110	163	or	or	CCONJ
ap-1855	110	164	(	(	PUNCT
ap-1855	110	165	x|y	x|y	X
ap-1855	110	166	|b	|b	ADJ
ap-1855	110	167	)	)	PUNCT
ap-1855	110	168	see	see	VERB
ap-1855	110	169	[	[	X
ap-1855	110	170	5	5	NUM
ap-1855	110	171	]	]	NUM
ap-1855	110	172	)	)	PUNCT
ap-1855	110	173	.	.	PUNCT
ap-1855	111	1	(	(	PUNCT
ap-1855	111	2	11	11	NUM
ap-1855	111	3	)	)	PUNCT
ap-1855	111	4	.	.	PUNCT
ap-1855	112	1	on	on	ADP
ap-1855	112	2	the	the	DET
ap-1855	112	3	other	other	ADJ
ap-1855	112	4	hand	hand	NOUN
ap-1855	112	5	,	,	PUNCT
ap-1855	112	6	the	the	DET
ap-1855	112	7	freedom	freedom	NOUN
ap-1855	112	8	in	in	ADP
ap-1855	112	9	the	the	DET
ap-1855	112	10	choice	choice	NOUN
ap-1855	112	11	of	of	ADP
ap-1855	112	12	ξc	ξc	PROPN
ap-1855	112	13	in	in	ADP
ap-1855	112	14	(	(	PUNCT
ap-1855	112	15	24	24	NUM
ap-1855	112	16	)	)	PUNCT
ap-1855	112	17	may	may	AUX
ap-1855	112	18	help	help	VERB
ap-1855	112	19	to	to	PART
ap-1855	112	20	restore	restore	VERB
ap-1855	112	21	the	the	DET
ap-1855	112	22	renormalizability	renormalizability	NOUN
ap-1855	112	23	.	.	PUNCT
ap-1855	113	1	it	it	PRON
ap-1855	113	2	is	be	AUX
ap-1855	113	3	therefore	therefore	ADV
ap-1855	113	4	of	of	ADP
ap-1855	113	5	interest	interest	NOUN
ap-1855	113	6	to	to	PART
ap-1855	113	7	find	find	VERB
ap-1855	113	8	consistency	consistency	NOUN
ap-1855	113	9	conditions	condition	NOUN
ap-1855	113	10	for	for	ADP
ap-1855	113	11	the	the	DET
ap-1855	113	12	renormalization	renormalization	NOUN
ap-1855	113	13	group	group	NOUN
ap-1855	113	14	equations	equation	NOUN
ap-1855	113	15	for	for	ADP
ap-1855	113	16	the	the	DET
ap-1855	113	17	σ	σ	NOUN
ap-1855	113	18	-	-	PUNCT
ap-1855	113	19	models	model	NOUN
ap-1855	113	20	given	give	VERB
ap-1855	113	21	by	by	ADP
ap-1855	113	22	this	this	DET
ap-1855	113	23	simple	simple	ADJ
ap-1855	113	24	m	m	NOUN
ap-1855	113	25	.	.	PUNCT
ap-1855	114	1	two	two	NUM
ap-1855	114	2	-	-	PUNCT
ap-1855	114	3	dimensional	dimensional	ADJ
ap-1855	114	4	poisson	poisson	NOUN
ap-1855	114	5	–	–	PUNCT
ap-1855	114	6	lie	lie	NOUN
ap-1855	114	7	σ	σ	NOUN
ap-1855	114	8	-	-	PUNCT
ap-1855	114	9	models	model	NOUN
ap-1855	114	10	are	be	AUX
ap-1855	114	11	given	give	VERB
ap-1855	114	12	by	by	ADP
ap-1855	114	13	manin	manin	PROPN
ap-1855	114	14	triples	triple	NOUN
ap-1855	114	15	generated	generate	VERB
ap-1855	114	16	by	by	ADP
ap-1855	114	17	abelian	abelian	NOUN
ap-1855	114	18	or	or	CCONJ
ap-1855	114	19	solvable	solvable	ADJ
ap-1855	114	20	lie	lie	NOUN
ap-1855	114	21	algebras	algebra	NOUN
ap-1855	114	22	with	with	ADP
ap-1855	114	23	lie	lie	NOUN
ap-1855	114	24	products	product	NOUN
ap-1855	115	1	[	[	X
ap-1855	115	2	t1	t1	NOUN
ap-1855	115	3	,	,	PUNCT
ap-1855	115	4	t2	t2	NOUN
ap-1855	115	5	]	]	PUNCT
ap-1855	115	6	=	=	PUNCT
ap-1855	115	7	a	a	DET
ap-1855	115	8	t2	t2	NOUN
ap-1855	115	9	,	,	PUNCT
ap-1855	116	1	[	[	X
ap-1855	116	2	t̃	t̃	PROPN
ap-1855	116	3	1	1	NUM
ap-1855	116	4	,	,	PUNCT
ap-1855	116	5	t̃	t̃	PROPN
ap-1855	116	6	2	2	NUM
ap-1855	116	7	]	]	PUNCT
ap-1855	116	8	=	=	PUNCT
ap-1855	116	9	ã	ã	PROPN
ap-1855	116	10	t̃	t̃	PROPN
ap-1855	116	11	2	2	NUM
ap-1855	116	12	,	,	PUNCT
ap-1855	116	13	a	a	DET
ap-1855	116	14	∈	∈	PROPN
ap-1855	116	15	{	{	PUNCT
ap-1855	116	16	0	0	NUM
ap-1855	116	17	,	,	PUNCT
ap-1855	116	18	1	1	NUM
ap-1855	116	19	}	}	PUNCT
ap-1855	116	20	,	,	PUNCT
ap-1855	116	21	ã	ã	PROPN
ap-1855	116	22	∈	∈	PROPN
ap-1855	116	23	r	r	NOUN
ap-1855	116	24	(	(	PUNCT
ap-1855	116	25	26	26	NUM
ap-1855	116	26	)	)	PUNCT
ap-1855	116	27	or	or	CCONJ
ap-1855	116	28	[	[	X
ap-1855	116	29	t1	t1	NOUN
ap-1855	116	30	,	,	PUNCT
ap-1855	116	31	t2	t2	NOUN
ap-1855	116	32	]	]	PUNCT
ap-1855	116	33	=	=	SYM
ap-1855	116	34	t2	t2	NOUN
ap-1855	116	35	,	,	PUNCT
ap-1855	116	36	[	[	X
ap-1855	116	37	t̃	t̃	PROPN
ap-1855	116	38	1	1	NUM
ap-1855	116	39	,	,	PUNCT
ap-1855	116	40	t̃	t̃	PROPN
ap-1855	116	41	2	2	NUM
ap-1855	116	42	]	]	PUNCT
ap-1855	116	43	=	=	SYM
ap-1855	116	44	t̃	t̃	PROPN
ap-1855	116	45	1	1	NUM
ap-1855	116	46	.	.	PUNCT
ap-1855	117	1	(	(	PUNCT
ap-1855	117	2	27	27	NUM
ap-1855	117	3	)	)	PUNCT
ap-1855	117	4	in	in	ADP
ap-1855	117	5	the	the	DET
ap-1855	117	6	former	former	ADJ
ap-1855	117	7	case	case	NOUN
ap-1855	117	8	,	,	PUNCT
ap-1855	117	9	equation	equation	NOUN
ap-1855	117	10	(	(	PUNCT
ap-1855	117	11	24	24	NUM
ap-1855	117	12	)	)	PUNCT
ap-1855	117	13	form	form	NOUN
ap-1855	117	14	=	=	SYM
ap-1855	117	15	m1	m1	NOUN
ap-1855	117	16	reads	read	VERB
ap-1855	117	17	(	(	PUNCT
ap-1855	117	18	dm	dm	NOUN
ap-1855	117	19	dt	dt	NOUN
ap-1855	117	20	0	0	NUM
ap-1855	117	21	0	0	NUM
ap-1855	117	22	dm	dm	NOUN
ap-1855	117	23	dt	dt	NOUN
ap-1855	117	24	)	)	PUNCT
ap-1855	118	1	=	=	PRON
ap-1855	118	2	(	(	PUNCT
ap-1855	118	3	a2m2	a2m2	X
ap-1855	118	4	−	−	PROPN
ap-1855	118	5	ã2	ã2	PROPN
ap-1855	118	6	(	(	PUNCT
ap-1855	118	7	am+	am+	PROPN
ap-1855	118	8	ã)ξ2	ã)ξ2	NOUN
ap-1855	118	9	0	0	NUM
ap-1855	119	1	−(am+	−(am+	PROPN
ap-1855	119	2	ã)ξ1	ã)ξ1	NOUN
ap-1855	119	3	)	)	PUNCT
ap-1855	120	1	(	(	PUNCT
ap-1855	120	2	28	28	NUM
ap-1855	120	3	)	)	PUNCT
ap-1855	120	4	so	so	SCONJ
ap-1855	120	5	that	that	SCONJ
ap-1855	120	6	we	we	PRON
ap-1855	120	7	generically	generically	ADV
ap-1855	120	8	get	get	VERB
ap-1855	120	9	ξ1	ξ1	NOUN
ap-1855	120	10	=	=	SYM
ap-1855	120	11	ã−am	ã−am	ADP
ap-1855	120	12	,	,	PUNCT
ap-1855	120	13	ξ2	ξ2	NOUN
ap-1855	120	14	=	=	SYM
ap-1855	120	15	0	0	NUM
ap-1855	120	16	and	and	CCONJ
ap-1855	120	17	the	the	DET
ap-1855	120	18	renormalization	renormalization	NOUN
ap-1855	120	19	group	group	NOUN
ap-1855	120	20	equation	equation	NOUN
ap-1855	120	21	is	be	AUX
ap-1855	120	22	dm	dm	NOUN
ap-1855	120	23	/	/	SYM
ap-1855	120	24	dt	dt	NOUN
ap-1855	120	25	=	=	X
ap-1855	120	26	a2m2−	a2m2−	NUM
ap-1855	120	27	ã2	ã2	PROPN
ap-1855	120	28	.	.	PROPN
ap-1855	121	1	in	in	ADP
ap-1855	121	2	the	the	DET
ap-1855	121	3	special	special	ADJ
ap-1855	121	4	case	case	NOUN
ap-1855	121	5	a	a	DET
ap-1855	121	6	=	=	SYM
ap-1855	121	7	1	1	NUM
ap-1855	121	8	,	,	PUNCT
ap-1855	121	9	m	m	VERB
ap-1855	121	10	=	=	SYM
ap-1855	121	11	−ã	−ã	PRON
ap-1855	121	12	the	the	DET
ap-1855	121	13	r.h.s	r.h.s	NOUN
ap-1855	121	14	.	.	PUNCT
ap-1855	122	1	of	of	ADP
ap-1855	122	2	the	the	DET
ap-1855	122	3	equation	equation	NOUN
ap-1855	122	4	(	(	PUNCT
ap-1855	122	5	28	28	NUM
ap-1855	122	6	)	)	PUNCT
ap-1855	122	7	vanishes	vanish	VERB
ap-1855	122	8	for	for	ADP
ap-1855	122	9	all	all	DET
ap-1855	122	10	choices	choice	NOUN
ap-1855	122	11	of	of	ADP
ap-1855	122	12	ξk	ξk	ADP
ap-1855	122	13	,	,	PUNCT
ap-1855	122	14	i.e.	i.e.	X
ap-1855	122	15	there	there	PRON
ap-1855	122	16	is	be	VERB
ap-1855	122	17	no	no	DET
ap-1855	122	18	renormalization	renormalization	NOUN
ap-1855	122	19	.	.	PUNCT
ap-1855	123	1	notice	notice	NOUN
ap-1855	123	2	that	that	PRON
ap-1855	123	3	had	have	AUX
ap-1855	123	4	we	we	PRON
ap-1855	123	5	allowed	allow	VERB
ap-1855	123	6	a	a	DET
ap-1855	123	7	diagonal	diagonal	ADJ
ap-1855	123	8	ansatz	ansatz	NOUN
ap-1855	123	9	m	m	NOUN
ap-1855	123	10	=	=	PUNCT
ap-1855	123	11	(	(	PUNCT
ap-1855	123	12	m1	m1	PROPN
ap-1855	123	13	0	0	NUM
ap-1855	123	14	0	0	NUM
ap-1855	123	15	m2	m2	PROPN
ap-1855	123	16	)	)	PUNCT
ap-1855	123	17	(	(	PUNCT
ap-1855	123	18	29	29	NUM
ap-1855	123	19	)	)	PUNCT
ap-1855	123	20	instead	instead	ADV
ap-1855	123	21	of	of	ADP
ap-1855	123	22	the	the	DET
ap-1855	123	23	multiple	multiple	NOUN
ap-1855	123	24	of	of	ADP
ap-1855	123	25	the	the	DET
ap-1855	123	26	unit	unit	NOUN
ap-1855	123	27	matrix	matrix	NOUN
ap-1855	123	28	,	,	PUNCT
ap-1855	123	29	the	the	DET
ap-1855	123	30	restriction	restriction	NOUN
ap-1855	123	31	on	on	ADP
ap-1855	123	32	the	the	DET
ap-1855	123	33	value	value	NOUN
ap-1855	123	34	of	of	ADP
ap-1855	123	35	ξ1	ξ1	NOUN
ap-1855	123	36	would	would	AUX
ap-1855	123	37	disappear	disappear	VERB
ap-1855	123	38	and	and	CCONJ
ap-1855	123	39	the	the	DET
ap-1855	123	40	renormalization	renormalization	NOUN
ap-1855	123	41	group	group	NOUN
ap-1855	123	42	equation	equation	NOUN
ap-1855	123	43	would	would	AUX
ap-1855	123	44	take	take	VERB
ap-1855	123	45	the	the	DET
ap-1855	123	46	form	form	NOUN
ap-1855	124	1	dm1	dm1	NOUN
ap-1855	124	2	dt	dt	PUNCT
ap-1855	125	1	=	=	NOUN
ap-1855	125	2	−ã2	−ã2	PROPN
ap-1855	126	1	+	+	PROPN
ap-1855	126	2	m2	m2	PROPN
ap-1855	126	3	1a	1a	PROPN
ap-1855	126	4	2	2	NUM
ap-1855	126	5	,	,	PUNCT
ap-1855	126	6	dm2	dm2	PROPN
ap-1855	126	7	dt	dt	NOUN
ap-1855	126	8	=	=	SYM
ap-1855	126	9	−m2	−m2	NOUN
ap-1855	126	10	m1	m1	PROPN
ap-1855	126	11	ξ1(ã+m1a	ξ1(ã+m1a	NOUN
ap-1855	126	12	)	)	PUNCT
ap-1855	126	13	.	.	PUNCT
ap-1855	127	1	(	(	PUNCT
ap-1855	127	2	30	30	NUM
ap-1855	127	3	)	)	PUNCT
ap-1855	127	4	for	for	ADP
ap-1855	127	5	the	the	DET
ap-1855	127	6	manin	manin	PROPN
ap-1855	127	7	triple	triple	ADJ
ap-1855	127	8	(	(	PUNCT
ap-1855	127	9	27	27	NUM
ap-1855	127	10	)	)	PUNCT
ap-1855	127	11	,	,	PUNCT
ap-1855	127	12	the	the	DET
ap-1855	127	13	equation	equation	NOUN
ap-1855	127	14	(	(	PUNCT
ap-1855	127	15	24	24	NUM
ap-1855	127	16	)	)	PUNCT
ap-1855	127	17	reads	read	NOUN
ap-1855	127	18	(	(	PUNCT
ap-1855	127	19	dm	dm	NOUN
ap-1855	127	20	dt	dt	NOUN
ap-1855	127	21	0	0	NUM
ap-1855	127	22	0	0	NUM
ap-1855	127	23	dm	dm	NOUN
ap-1855	127	24	dt	dt	NOUN
ap-1855	127	25	)	)	PUNCT
ap-1855	128	1	=	=	PUNCT
ap-1855	128	2	(	(	PUNCT
ap-1855	128	3	m2	m2	PROPN
ap-1855	128	4	+	+	CCONJ
ap-1855	128	5	ξ2	ξ2	PROPN
ap-1855	128	6	m	m	PROPN
ap-1855	128	7	(	(	PUNCT
ap-1855	128	8	ξ2	ξ2	NOUN
ap-1855	128	9	−	−	NOUN
ap-1855	128	10	1	1	NUM
ap-1855	128	11	)	)	PUNCT
ap-1855	128	12	m−	m−	PROPN
ap-1855	128	13	ξ1	ξ1	PROPN
ap-1855	128	14	−1−mξ1	−1−mξ1	PROPN
ap-1855	128	15	)	)	PUNCT
ap-1855	128	16	(	(	PUNCT
ap-1855	128	17	31	31	NUM
ap-1855	128	18	)	)	PUNCT
ap-1855	128	19	and	and	CCONJ
ap-1855	128	20	no	no	DET
ap-1855	128	21	choice	choice	NOUN
ap-1855	128	22	of	of	ADP
ap-1855	128	23	ξ1	ξ1	NOUN
ap-1855	128	24	,	,	PUNCT
ap-1855	128	25	ξ2	ξ2	NOUN
ap-1855	128	26	satisfies	satisfy	VERB
ap-1855	128	27	the	the	DET
ap-1855	128	28	equation	equation	NOUN
ap-1855	128	29	(	(	PUNCT
ap-1855	128	30	31	31	NUM
ap-1855	128	31	)	)	PUNCT
ap-1855	128	32	.	.	PUNCT
ap-1855	129	1	therefore	therefore	ADV
ap-1855	129	2	the	the	DET
ap-1855	129	3	poisson	poisson	NOUN
ap-1855	129	4	–	–	PUNCT
ap-1855	129	5	lie	lie	NOUN
ap-1855	129	6	σ	σ	PROPN
ap-1855	129	7	-	-	PUNCT
ap-1855	129	8	model	model	NOUN
ap-1855	129	9	given	give	VERB
ap-1855	129	10	by	by	ADP
ap-1855	129	11	manin	manin	PROPN
ap-1855	129	12	triple	triple	PROPN
ap-1855	129	13	(	(	PUNCT
ap-1855	129	14	27	27	NUM
ap-1855	129	15	)	)	PUNCT
ap-1855	129	16	is	be	AUX
ap-1855	129	17	not	not	PART
ap-1855	129	18	renormalizable	renormalizable	ADJ
ap-1855	129	19	with	with	SCONJ
ap-1855	129	20	m	m	PRON
ap-1855	129	21	kept	keep	VERB
ap-1855	129	22	proportional	proportional	ADJ
ap-1855	129	23	to	to	ADP
ap-1855	129	24	the	the	DET
ap-1855	129	25	unit	unit	NOUN
ap-1855	129	26	matrix	matrix	NOUN
ap-1855	129	27	.	.	PUNCT
ap-1855	130	1	the	the	DET
ap-1855	130	2	situation	situation	NOUN
ap-1855	130	3	changes	change	VERB
ap-1855	130	4	when	when	SCONJ
ap-1855	130	5	we	we	PRON
ap-1855	130	6	allow	allow	VERB
ap-1855	130	7	general	general	ADJ
ap-1855	130	8	diagonal	diagonal	ADJ
ap-1855	130	9	form	form	NOUN
ap-1855	130	10	(	(	PUNCT
ap-1855	130	11	29	29	NUM
ap-1855	130	12	)	)	PUNCT
ap-1855	130	13	of	of	ADP
ap-1855	130	14	matrixm	matrixm	NOUN
ap-1855	130	15	.	.	PUNCT
ap-1855	131	1	then	then	ADV
ap-1855	131	2	the	the	DET
ap-1855	131	3	renormalization	renormalization	NOUN
ap-1855	131	4	group	group	NOUN
ap-1855	131	5	equation	equation	NOUN
ap-1855	131	6	becomes	become	VERB
ap-1855	131	7	(	(	PUNCT
ap-1855	131	8	dm1	dm1	NOUN
ap-1855	131	9	dt	dt	PROPN
ap-1855	131	10	0	0	NUM
ap-1855	131	11	0	0	NUM
ap-1855	131	12	dm2	dm2	PROPN
ap-1855	131	13	dt	dt	NOUN
ap-1855	131	14	)	)	PUNCT
ap-1855	132	1	=	=	PUNCT
ap-1855	132	2	(	(	PUNCT
ap-1855	132	3	m2	m2	PROPN
ap-1855	132	4	1	1	NUM
ap-1855	132	5	+	+	CCONJ
ap-1855	132	6	m1	m1	PROPN
ap-1855	132	7	m2	m2	PROPN
ap-1855	132	8	ξ2	ξ2	PROPN
ap-1855	132	9	m1	m1	PROPN
ap-1855	132	10	(	(	PUNCT
ap-1855	132	11	ξ2	ξ2	NOUN
ap-1855	132	12	−	−	NUM
ap-1855	132	13	1	1	NUM
ap-1855	132	14	)	)	PUNCT
ap-1855	132	15	m1	m1	PROPN
ap-1855	132	16	−	−	PROPN
ap-1855	132	17	ξ1	ξ1	PROPN
ap-1855	132	18	−1−m2	−1−m2	PROPN
ap-1855	132	19	ξ	ξ	PROPN
ap-1855	132	20	1	1	NUM
ap-1855	132	21	)	)	PUNCT
ap-1855	132	22	(	(	PUNCT
ap-1855	132	23	32	32	NUM
ap-1855	132	24	)	)	PUNCT
ap-1855	132	25	which	which	PRON
ap-1855	132	26	allows	allow	VERB
ap-1855	132	27	the	the	DET
ap-1855	132	28	flow	flow	NOUN
ap-1855	132	29	dm1	dm1	NOUN
ap-1855	132	30	dt	dt	NOUN
ap-1855	133	1	=	=	SYM
ap-1855	133	2	m2	m2	PROPN
ap-1855	133	3	1	1	NUM
ap-1855	133	4	+	+	CCONJ
ap-1855	133	5	m1	m1	PROPN
ap-1855	133	6	m2	m2	PROPN
ap-1855	133	7	,	,	PUNCT
ap-1855	133	8	dm2	dm2	PROPN
ap-1855	133	9	dt	dt	PROPN
ap-1855	134	1	=	=	PUNCT
ap-1855	134	2	−1−m1m2	−1−m1m2	PROPN
ap-1855	134	3	respecting	respect	VERB
ap-1855	134	4	the	the	DET
ap-1855	134	5	diagonal	diagonal	ADJ
ap-1855	134	6	ansatz	ansatz	NOUN
ap-1855	134	7	(	(	PUNCT
ap-1855	134	8	29	29	NUM
ap-1855	134	9	)	)	PUNCT
ap-1855	134	10	for	for	ADP
ap-1855	134	11	the	the	DET
ap-1855	134	12	unique	unique	ADJ
ap-1855	134	13	choice	choice	NOUN
ap-1855	134	14	ξ1	ξ1	NOUN
ap-1855	134	15	=	=	SYM
ap-1855	134	16	m1	m1	PROPN
ap-1855	134	17	,	,	PUNCT
ap-1855	134	18	ξ2	ξ2	NOUN
ap-1855	134	19	=	=	SYM
ap-1855	134	20	1	1	X
ap-1855	134	21	.	.	PUNCT
ap-1855	134	22	consistency	consistency	NOUN
ap-1855	134	23	of	of	ADP
ap-1855	134	24	the	the	DET
ap-1855	134	25	one	one	NUM
ap-1855	134	26	-	-	PUNCT
ap-1855	134	27	loop	loop	NOUN
ap-1855	134	28	renormalization	renormalization	NOUN
ap-1855	134	29	group	group	NOUN
ap-1855	134	30	equations	equation	NOUN
ap-1855	134	31	for	for	ADP
ap-1855	134	32	three	three	NUM
ap-1855	134	33	-	-	PUNCT
ap-1855	134	34	dimensional	dimensional	ADJ
ap-1855	134	35	poisson	poisson	NOUN
ap-1855	134	36	–	–	PUNCT
ap-1855	134	37	lie	lie	NOUN
ap-1855	134	38	σ	σ	NOUN
ap-1855	134	39	-	-	PUNCT
ap-1855	134	40	models	model	NOUN
ap-1855	134	41	with	with	ADP
ap-1855	134	42	m	m	PROPN
ap-1855	134	43	proportional	proportional	ADJ
ap-1855	134	44	to	to	ADP
ap-1855	134	45	the	the	DET
ap-1855	134	46	unit	unit	NOUN
ap-1855	134	47	matrix	matrix	NOUN
ap-1855	134	48	fixes	fix	VERB
ap-1855	134	49	ξ3	ξ3	NOUN
ap-1855	134	50	=	=	SYM
ap-1855	134	51	0	0	PUNCT
ap-1855	134	52	and	and	CCONJ
ap-1855	134	53	is	be	AUX
ap-1855	134	54	consistent	consistent	ADJ
ap-1855	134	55	with	with	ADP
ap-1855	134	56	the	the	DET
ap-1855	134	57	choice	choice	NOUN
ap-1855	134	58	ξ2	ξ2	NOUN
ap-1855	134	59	=	=	SYM
ap-1855	134	60	0	0	PUNCT
ap-1855	135	1	(	(	PUNCT
ap-1855	135	2	unique	unique	ADJ
ap-1855	135	3	in	in	ADP
ap-1855	135	4	some	some	DET
ap-1855	135	5	cases	case	NOUN
ap-1855	135	6	)	)	PUNCT
ap-1855	135	7	.	.	PUNCT
ap-1855	136	1	it	it	PRON
ap-1855	136	2	exists	exist	VERB
ap-1855	136	3	for	for	ADP
ap-1855	136	4	manin	manin	PROPN
ap-1855	136	5	triples	triple	NOUN
ap-1855	136	6	and	and	CCONJ
ap-1855	136	7	choices	choice	NOUN
ap-1855	136	8	of	of	ADP
ap-1855	136	9	ξ1	ξ1	NOUN
ap-1855	136	10	and/or	and/or	CCONJ
ap-1855	136	11	m	m	PROPN
ap-1855	136	12	and	and	CCONJ
ap-1855	136	13	their	their	PRON
ap-1855	136	14	duals	dual	NOUN
ap-1855	136	15	summarized	summarize	VERB
ap-1855	136	16	in	in	ADP
ap-1855	136	17	table	table	NOUN
ap-1855	136	18	1	1	NUM
ap-1855	136	19	.	.	PUNCT
ap-1855	137	1	renormalization	renormalization	NOUN
ap-1855	137	2	of	of	ADP
ap-1855	137	3	the	the	DET
ap-1855	137	4	poisson	poisson	NOUN
ap-1855	137	5	–	–	PUNCT
ap-1855	137	6	lie	lie	NOUN
ap-1855	137	7	σ	σ	NOUN
ap-1855	137	8	-	-	PUNCT
ap-1855	137	9	models	model	NOUN
ap-1855	137	10	given	give	VERB
ap-1855	137	11	by	by	ADP
ap-1855	137	12	other	other	ADJ
ap-1855	137	13	six	six	NUM
ap-1855	137	14	-	-	PUNCT
ap-1855	137	15	dimensional	dimensional	ADJ
ap-1855	137	16	manin	manin	NOUN
ap-1855	137	17	triples	triple	NOUN
ap-1855	137	18	is	be	AUX
ap-1855	137	19	not	not	PART
ap-1855	137	20	consistent	consistent	ADJ
ap-1855	137	21	with	with	ADP
ap-1855	137	22	the	the	DET
ap-1855	137	23	assumption	assumption	NOUN
ap-1855	137	24	m	m	VERB
ap-1855	137	25	proportional	proportional	ADJ
ap-1855	137	26	to	to	ADP
ap-1855	137	27	identity	identity	NOUN
ap-1855	137	28	,	,	PUNCT
ap-1855	137	29	i.e.	i.e.	X
ap-1855	137	30	renormalization	renormalization	NOUN
ap-1855	137	31	spoils	spoil	VERB
ap-1855	137	32	the	the	DET
ap-1855	137	33	ansatz	ansatz	NOUN
ap-1855	137	34	.	.	PUNCT
ap-1855	138	1	we	we	PRON
ap-1855	138	2	have	have	AUX
ap-1855	138	3	also	also	ADV
ap-1855	138	4	investigated	investigate	VERB
ap-1855	138	5	three	three	NUM
ap-1855	138	6	-	-	PUNCT
ap-1855	138	7	dimensional	dimensional	ADJ
ap-1855	138	8	σmodels	σmodel	NOUN
ap-1855	138	9	with	with	ADP
ap-1855	138	10	general	general	ADJ
ap-1855	138	11	diagonal	diagonal	ADJ
ap-1855	138	12	matrices	matrix	NOUN
ap-1855	138	13	m	m	VERB
ap-1855	138	14	but	but	CCONJ
ap-1855	138	15	the	the	DET
ap-1855	138	16	list	list	NOUN
ap-1855	138	17	of	of	ADP
ap-1855	138	18	renormalizable	renormalizable	ADJ
ap-1855	138	19	models	model	NOUN
ap-1855	138	20	is	be	AUX
ap-1855	138	21	rather	rather	ADV
ap-1855	138	22	long	long	ADJ
ap-1855	138	23	,	,	PUNCT
ap-1855	138	24	so	so	SCONJ
ap-1855	138	25	that	that	SCONJ
ap-1855	138	26	we	we	PRON
ap-1855	138	27	do	do	AUX
ap-1855	138	28	not	not	PART
ap-1855	138	29	display	display	VERB
ap-1855	138	30	it	it	PRON
ap-1855	138	31	here	here	ADV
ap-1855	138	32	.	.	PUNCT
ap-1855	139	1	we	we	PRON
ap-1855	139	2	note	note	VERB
ap-1855	139	3	that	that	SCONJ
ap-1855	139	4	the	the	DET
ap-1855	139	5	list	list	NOUN
ap-1855	139	6	of	of	ADP
ap-1855	139	7	renormalizable	renormalizable	ADJ
ap-1855	139	8	threedimensional	threedimensional	ADJ
ap-1855	139	9	poisson	poisson	NOUN
ap-1855	139	10	–	–	PUNCT
ap-1855	139	11	lie	lie	NOUN
ap-1855	139	12	σ	σ	NOUN
ap-1855	139	13	-	-	PUNCT
ap-1855	139	14	models	model	NOUN
ap-1855	139	15	with	with	ADP
ap-1855	139	16	m	m	PROPN
ap-1855	139	17	proportional	proportional	ADJ
ap-1855	139	18	to	to	ADP
ap-1855	139	19	the	the	DET
ap-1855	139	20	unit	unit	NOUN
ap-1855	139	21	matrix	matrix	NOUN
ap-1855	139	22	is	be	AUX
ap-1855	139	23	in	in	ADP
ap-1855	139	24	agreement	agreement	NOUN
ap-1855	139	25	with	with	ADP
ap-1855	139	26	the	the	DET
ap-1855	139	27	results	result	NOUN
ap-1855	139	28	obtained	obtain	VERB
ap-1855	139	29	in	in	ADP
ap-1855	139	30	[	[	X
ap-1855	139	31	11	11	NUM
ap-1855	139	32	]	]	PUNCT
ap-1855	139	33	.	.	PUNCT
ap-1855	140	1	there	there	ADV
ap-1855	140	2	the	the	DET
ap-1855	140	3	conformally	conformally	ADV
ap-1855	140	4	invariant	invariant	ADJ
ap-1855	140	5	poisson	poisson	NOUN
ap-1855	140	6	–	–	PUNCT
ap-1855	140	7	lie	lie	NOUN
ap-1855	140	8	σ	σ	NOUN
ap-1855	140	9	-	-	PUNCT
ap-1855	140	10	models	model	NOUN
ap-1855	140	11	,	,	PUNCT
ap-1855	140	12	i.e.	i.e.	X
ap-1855	140	13	those	those	PRON
ap-1855	140	14	with	with	ADP
ap-1855	140	15	vanishing	vanish	VERB
ap-1855	140	16	β	β	NOUN
ap-1855	140	17	-	-	NOUN
ap-1855	140	18	function	function	NOUN
ap-1855	140	19	,	,	PUNCT
ap-1855	140	20	were	be	AUX
ap-1855	140	21	studied	study	VERB
ap-1855	140	22	and	and	CCONJ
ap-1855	140	23	the	the	DET
ap-1855	140	24	sigma	sigma	PROPN
ap-1855	140	25	models	model	NOUN
ap-1855	140	26	with	with	ADP
ap-1855	140	27	diagonal	diagonal	ADJ
ap-1855	140	28	m	m	NOUN
ap-1855	140	29	and	and	CCONJ
ap-1855	140	30	constant	constant	ADJ
ap-1855	140	31	dilaton	dilaton	NOUN
ap-1855	140	32	field	field	NOUN
ap-1855	140	33	were	be	AUX
ap-1855	140	34	obtained	obtain	VERB
ap-1855	140	35	.	.	PUNCT
ap-1855	141	1	they	they	PRON
ap-1855	141	2	appear	appear	VERB
ap-1855	141	3	in	in	ADP
ap-1855	141	4	the	the	DET
ap-1855	141	5	above	above	ADJ
ap-1855	141	6	constructed	construct	VERB
ap-1855	141	7	list	list	NOUN
ap-1855	141	8	with	with	ADP
ap-1855	141	9	vanishing	vanish	VERB
ap-1855	141	10	r.h.s	r.h.s	NOUN
ap-1855	141	11	.	.	PUNCT
ap-1855	141	12	of	of	ADP
ap-1855	141	13	the	the	DET
ap-1855	141	14	renormalization	renormalization	NOUN
ap-1855	141	15	group	group	NOUN
ap-1855	141	16	equation	equation	NOUN
ap-1855	141	17	.	.	PUNCT
ap-1855	142	1	436	436	NUM
ap-1855	142	2	vol	vol	NOUN
ap-1855	142	3	.	.	PUNCT
ap-1855	143	1	53	53	NUM
ap-1855	143	2	no	no	NOUN
ap-1855	143	3	.	.	PUNCT
ap-1855	144	1	5/2013	5/2013	NUM
ap-1855	144	2	on	on	ADP
ap-1855	144	3	renormalization	renormalization	NOUN
ap-1855	144	4	of	of	ADP
ap-1855	144	5	poisson	poisson	NOUN
ap-1855	144	6	–	–	PUNCT
ap-1855	144	7	lie	lie	NOUN
ap-1855	144	8	t	t	NOUN
ap-1855	144	9	-	-	PUNCT
ap-1855	144	10	plural	plural	ADJ
ap-1855	144	11	sigma	sigma	PROPN
ap-1855	144	12	models	model	NOUN
ap-1855	144	13	5	5	NUM
ap-1855	144	14	.	.	PUNCT
ap-1855	145	1	conclusions	conclusion	NOUN
ap-1855	145	2	we	we	PRON
ap-1855	145	3	have	have	AUX
ap-1855	145	4	discussed	discuss	VERB
ap-1855	145	5	the	the	DET
ap-1855	145	6	transformation	transformation	NOUN
ap-1855	145	7	properties	property	NOUN
ap-1855	145	8	of	of	ADP
ap-1855	145	9	the	the	DET
ap-1855	145	10	renormalization	renormalization	NOUN
ap-1855	145	11	group	group	NOUN
ap-1855	145	12	flow	flow	NOUN
ap-1855	145	13	under	under	ADP
ap-1855	145	14	poisson	poisson	PROPN
ap-1855	145	15	–	–	PUNCT
ap-1855	145	16	lie	lie	NOUN
ap-1855	145	17	tplurality	tplurality	NOUN
ap-1855	145	18	.	.	PUNCT
ap-1855	146	1	originally	originally	ADV
ap-1855	146	2	,	,	PUNCT
ap-1855	146	3	on	on	ADP
ap-1855	146	4	the	the	DET
ap-1855	146	5	basis	basis	NOUN
ap-1855	146	6	of	of	ADP
ap-1855	146	7	our	our	PRON
ap-1855	146	8	previous	previous	ADJ
ap-1855	146	9	experience	experience	NOUN
ap-1855	146	10	with	with	ADP
ap-1855	146	11	the	the	DET
ap-1855	146	12	poisson	poisson	NOUN
ap-1855	146	13	–	–	PUNCT
ap-1855	146	14	lie	lie	NOUN
ap-1855	146	15	t	t	PROPN
ap-1855	146	16	-	-	PUNCT
ap-1855	146	17	duality	duality	NOUN
ap-1855	146	18	and	and	CCONJ
ap-1855	146	19	t	t	NOUN
ap-1855	146	20	-	-	PUNCT
ap-1855	146	21	plurality	plurality	NOUN
ap-1855	146	22	,	,	PUNCT
ap-1855	146	23	we	we	PRON
ap-1855	146	24	expected	expect	VERB
ap-1855	146	25	that	that	SCONJ
ap-1855	146	26	it	it	PRON
ap-1855	146	27	should	should	AUX
ap-1855	146	28	possible	possible	ADJ
ap-1855	146	29	to	to	PART
ap-1855	146	30	generalize	generalize	VERB
ap-1855	146	31	the	the	DET
ap-1855	146	32	proof	proof	NOUN
ap-1855	146	33	of	of	ADP
ap-1855	146	34	the	the	DET
ap-1855	146	35	equivalence	equivalence	NOUN
ap-1855	146	36	of	of	ADP
ap-1855	146	37	the	the	DET
ap-1855	146	38	renormalization	renormalization	NOUN
ap-1855	146	39	group	group	NOUN
ap-1855	146	40	flows	flow	VERB
ap-1855	146	41	(	(	PUNCT
ap-1855	146	42	11	11	NUM
ap-1855	146	43	)	)	PUNCT
ap-1855	146	44	of	of	ADP
ap-1855	146	45	poisson	poisson	NOUN
ap-1855	146	46	–	–	PUNCT
ap-1855	146	47	lie	lie	NOUN
ap-1855	146	48	t	t	NOUN
ap-1855	146	49	-	-	PUNCT
ap-1855	146	50	dual	dual	ADJ
ap-1855	146	51	sigma	sigma	NOUN
ap-1855	146	52	models	model	NOUN
ap-1855	146	53	[	[	X
ap-1855	146	54	2	2	X
ap-1855	146	55	]	]	PUNCT
ap-1855	146	56	to	to	ADP
ap-1855	146	57	the	the	DET
ap-1855	146	58	case	case	NOUN
ap-1855	146	59	of	of	ADP
ap-1855	146	60	poisson	poisson	NOUN
ap-1855	146	61	–	–	PUNCT
ap-1855	146	62	lie	lie	NOUN
ap-1855	146	63	t	t	NOUN
ap-1855	146	64	-	-	PUNCT
ap-1855	146	65	plurality	plurality	NOUN
ap-1855	146	66	.	.	PUNCT
ap-1855	147	1	unfortunately	unfortunately	ADV
ap-1855	147	2	,	,	PUNCT
ap-1855	147	3	this	this	DET
ap-1855	147	4	task	task	NOUN
ap-1855	147	5	proved	prove	VERB
ap-1855	147	6	to	to	PART
ap-1855	147	7	be	be	AUX
ap-1855	147	8	beyond	beyond	ADP
ap-1855	147	9	our	our	PRON
ap-1855	147	10	present	present	ADJ
ap-1855	147	11	means	mean	NOUN
ap-1855	147	12	due	due	ADJ
ap-1855	147	13	the	the	DET
ap-1855	147	14	relative	relative	ADJ
ap-1855	147	15	complexity	complexity	NOUN
ap-1855	147	16	of	of	ADP
ap-1855	147	17	the	the	DET
ap-1855	147	18	transformation	transformation	NOUN
ap-1855	147	19	formula	formula	NOUN
ap-1855	147	20	(	(	PUNCT
ap-1855	147	21	7	7	NUM
ap-1855	147	22	)	)	PUNCT
ap-1855	147	23	compared	compare	VERB
ap-1855	147	24	to	to	ADP
ap-1855	147	25	the	the	DET
ap-1855	147	26	duality	duality	NOUN
ap-1855	147	27	case	case	NOUN
ap-1855	147	28	(	(	PUNCT
ap-1855	147	29	18	18	NUM
ap-1855	147	30	)	)	PUNCT
ap-1855	147	31	.	.	PUNCT
ap-1855	148	1	thus	thus	ADV
ap-1855	148	2	,	,	PUNCT
ap-1855	148	3	we	we	PRON
ap-1855	148	4	resorted	resort	VERB
ap-1855	148	5	to	to	ADP
ap-1855	148	6	investigation	investigation	NOUN
ap-1855	148	7	of	of	ADP
ap-1855	148	8	the	the	DET
ap-1855	148	9	invariance	invariance	NOUN
ap-1855	148	10	properties	property	NOUN
ap-1855	148	11	of	of	ADP
ap-1855	148	12	the	the	DET
ap-1855	148	13	renormalization	renormalization	NOUN
ap-1855	148	14	group	group	NOUN
ap-1855	148	15	flows	flow	VERB
ap-1855	148	16	on	on	ADP
ap-1855	148	17	low	low	ADJ
ap-1855	148	18	-	-	PUNCT
ap-1855	148	19	dimensional	dimensional	ADJ
ap-1855	148	20	examples	example	NOUN
ap-1855	148	21	.	.	PUNCT
ap-1855	149	1	we	we	PRON
ap-1855	149	2	have	have	AUX
ap-1855	149	3	found	find	VERB
ap-1855	149	4	no	no	DET
ap-1855	149	5	contradiction	contradiction	NOUN
ap-1855	149	6	with	with	ADP
ap-1855	149	7	the	the	DET
ap-1855	149	8	hypothesis	hypothesis	NOUN
ap-1855	149	9	that	that	SCONJ
ap-1855	149	10	the	the	DET
ap-1855	149	11	renormalization	renormalization	NOUN
ap-1855	149	12	group	group	NOUN
ap-1855	149	13	flows	flow	VERB
ap-1855	149	14	as	as	SCONJ
ap-1855	149	15	formulated	formulate	VERB
ap-1855	149	16	in	in	ADP
ap-1855	149	17	[	[	X
ap-1855	149	18	2	2	NUM
ap-1855	149	19	]	]	PUNCT
ap-1855	149	20	are	be	AUX
ap-1855	149	21	equivalent	equivalent	ADJ
ap-1855	149	22	under	under	ADP
ap-1855	149	23	the	the	DET
ap-1855	149	24	poisson	poisson	NOUN
ap-1855	149	25	–	–	PUNCT
ap-1855	149	26	lie	lie	NOUN
ap-1855	149	27	t	t	PROPN
ap-1855	149	28	-	-	PUNCT
ap-1855	149	29	plurality	plurality	NOUN
ap-1855	149	30	and	and	CCONJ
ap-1855	149	31	with	with	ADP
ap-1855	149	32	the	the	DET
ap-1855	149	33	claim	claim	NOUN
ap-1855	149	34	that	that	SCONJ
ap-1855	149	35	the	the	DET
ap-1855	149	36	renormalization	renormalization	NOUN
ap-1855	149	37	renormalization	renormalization	NOUN
ap-1855	149	38	flows	flow	NOUN
ap-1855	149	39	of	of	ADP
ap-1855	149	40	the	the	DET
ap-1855	149	41	models	model	NOUN
ap-1855	149	42	on	on	ADP
ap-1855	149	43	the	the	DET
ap-1855	149	44	poisson	poisson	NOUN
ap-1855	149	45	–	–	PUNCT
ap-1855	149	46	lie	lie	NOUN
ap-1855	149	47	group	group	NOUN
ap-1855	149	48	and	and	CCONJ
ap-1855	149	49	on	on	ADP
ap-1855	149	50	the	the	DET
ap-1855	149	51	drinfel’d	drinfel’d	NOUN
ap-1855	149	52	double	double	NOUN
ap-1855	149	53	are	be	AUX
ap-1855	149	54	compatible	compatible	ADJ
ap-1855	149	55	.	.	PUNCT
ap-1855	150	1	next	next	ADV
ap-1855	150	2	,	,	PUNCT
ap-1855	150	3	we	we	PRON
ap-1855	150	4	studied	study	VERB
ap-1855	150	5	whether	whether	SCONJ
ap-1855	150	6	the	the	DET
ap-1855	150	7	freedom	freedom	NOUN
ap-1855	150	8	in	in	ADP
ap-1855	150	9	the	the	DET
ap-1855	150	10	choice	choice	NOUN
ap-1855	150	11	of	of	ADP
ap-1855	150	12	functions	function	NOUN
ap-1855	150	13	ξc	ξc	NOUN
ap-1855	150	14	in	in	ADP
ap-1855	150	15	the	the	DET
ap-1855	150	16	renormalization	renormalization	NOUN
ap-1855	150	17	group	group	NOUN
ap-1855	150	18	equations	equation	NOUN
ap-1855	150	19	(	(	PUNCT
ap-1855	150	20	24	24	NUM
ap-1855	150	21	)	)	PUNCT
ap-1855	150	22	can	can	AUX
ap-1855	150	23	be	be	AUX
ap-1855	150	24	employed	employ	VERB
ap-1855	150	25	to	to	PART
ap-1855	150	26	preserve	preserve	VERB
ap-1855	150	27	chosen	choose	VERB
ap-1855	150	28	ansatz	ansatz	ADV
ap-1855	150	29	of	of	ADP
ap-1855	150	30	the	the	DET
ap-1855	150	31	matrix	matrix	NOUN
ap-1855	150	32	m	m	VERB
ap-1855	150	33	during	during	ADP
ap-1855	150	34	the	the	DET
ap-1855	150	35	renormalization	renormalization	NOUN
ap-1855	150	36	group	group	NOUN
ap-1855	150	37	flows	flow	VERB
ap-1855	150	38	.	.	PUNCT
ap-1855	151	1	it	it	PRON
ap-1855	151	2	turned	turn	VERB
ap-1855	151	3	out	out	ADP
ap-1855	151	4	that	that	SCONJ
ap-1855	151	5	indeed	indeed	ADV
ap-1855	151	6	this	this	DET
ap-1855	151	7	ambiguity	ambiguity	NOUN
ap-1855	151	8	often	often	ADV
ap-1855	151	9	enables	enable	VERB
ap-1855	151	10	one	one	NUM
ap-1855	151	11	to	to	PART
ap-1855	151	12	stay	stay	VERB
ap-1855	151	13	within	within	ADP
ap-1855	151	14	the	the	DET
ap-1855	151	15	diagonal	diagonal	ADJ
ap-1855	151	16	ansatz	ansatz	NOUN
ap-1855	151	17	for	for	ADP
ap-1855	151	18	matrix	matrix	NOUN
ap-1855	151	19	m	m	NOUN
ap-1855	151	20	.	.	PUNCT
ap-1855	152	1	acknowledgements	acknowledgement	NOUN
ap-1855	152	2	this	this	DET
ap-1855	152	3	work	work	NOUN
ap-1855	152	4	was	be	AUX
ap-1855	152	5	supported	support	VERB
ap-1855	152	6	by	by	ADP
ap-1855	152	7	rvo68407700	rvo68407700	NOUN
ap-1855	152	8	and	and	CCONJ
ap-1855	152	9	research	research	NOUN
ap-1855	152	10	plan	plan	NOUN
ap-1855	152	11	msm6840770039	msm6840770039	NOUN
ap-1855	152	12	of	of	ADP
ap-1855	152	13	the	the	DET
ap-1855	152	14	ministry	ministry	PROPN
ap-1855	152	15	of	of	ADP
ap-1855	152	16	education	education	NOUN
ap-1855	152	17	of	of	ADP
ap-1855	152	18	the	the	DET
ap-1855	152	19	czech	czech	PROPN
ap-1855	152	20	republic	republic	NOUN
ap-1855	152	21	(	(	PUNCT
ap-1855	152	22	l.h	l.h	PROPN
ap-1855	152	23	.	.	PROPN
ap-1855	152	24	and	and	CCONJ
ap-1855	152	25	l.š	l.š	PROPN
ap-1855	152	26	)	)	PUNCT
ap-1855	152	27	and	and	CCONJ
ap-1855	152	28	by	by	ADP
ap-1855	152	29	the	the	DET
ap-1855	152	30	grant	grant	PROPN
ap-1855	152	31	agency	agency	NOUN
ap-1855	152	32	of	of	ADP
ap-1855	152	33	the	the	DET
ap-1855	152	34	czech	czech	PROPN
ap-1855	152	35	technical	technical	PROPN
ap-1855	152	36	university	university	PROPN
ap-1855	152	37	in	in	ADP
ap-1855	152	38	prague	prague	PROPN
ap-1855	152	39	,	,	PUNCT
ap-1855	152	40	grant	grant	VERB
ap-1855	152	41	no	no	INTJ
ap-1855	152	42	.	.	PUNCT
ap-1855	153	1	sgs10/295	sgs10/295	PROPN
ap-1855	153	2	/	/	SYM
ap-1855	153	3	ohk4/3t/14	ohk4/3t/14	PROPN
ap-1855	153	4	(	(	PUNCT
ap-1855	153	5	j.n	j.n	PROPN
ap-1855	153	6	.	.	PROPN
ap-1855	153	7	)	)	PUNCT
ap-1855	153	8	.	.	PUNCT
ap-1855	154	1	we	we	PRON
ap-1855	154	2	are	be	AUX
ap-1855	154	3	grateful	grateful	ADJ
ap-1855	154	4	to	to	PART
ap-1855	154	5	konstadinos	konstadino	NOUN
ap-1855	154	6	sfetsos	sfetsos	PROPN
ap-1855	154	7	and	and	CCONJ
ap-1855	154	8	konstadinos	konstadino	VERB
ap-1855	154	9	siampos	siampos	PROPN
ap-1855	154	10	for	for	ADP
ap-1855	154	11	e	e	NOUN
ap-1855	154	12	-	-	NOUN
ap-1855	154	13	mail	mail	NOUN
ap-1855	154	14	discussions	discussion	NOUN
ap-1855	154	15	that	that	PRON
ap-1855	154	16	helped	help	VERB
ap-1855	154	17	to	to	PART
ap-1855	154	18	pinpoint	pinpoint	VERB
ap-1855	154	19	the	the	DET
ap-1855	154	20	differences	difference	NOUN
ap-1855	154	21	in	in	ADP
ap-1855	154	22	notation	notation	NOUN
ap-1855	154	23	and	and	CCONJ
ap-1855	154	24	corresponding	corresponding	ADJ
ap-1855	154	25	reformulations	reformulation	NOUN
ap-1855	154	26	of	of	ADP
ap-1855	154	27	the	the	DET
ap-1855	154	28	renormalization	renormalization	NOUN
ap-1855	154	29	group	group	NOUN
ap-1855	154	30	equations	equation	NOUN
ap-1855	154	31	.	.	PUNCT
ap-1855	155	1	references	reference	NOUN
ap-1855	155	2	[	[	X
ap-1855	155	3	1	1	NUM
ap-1855	155	4	]	]	PUNCT
ap-1855	155	5	galliano	galliano	NOUN
ap-1855	155	6	valent	valent	NOUN
ap-1855	155	7	,	,	PUNCT
ap-1855	155	8	ctirad	ctirad	NOUN
ap-1855	155	9	klimčík	klimčík	PROPN
ap-1855	155	10	,	,	PUNCT
ap-1855	155	11	romain	romain	PROPN
ap-1855	155	12	squellari	squellari	ADJ
ap-1855	155	13	.	.	PUNCT
ap-1855	156	1	one	one	NUM
ap-1855	156	2	loop	loop	NOUN
ap-1855	156	3	renormalizability	renormalizability	NOUN
ap-1855	156	4	of	of	ADP
ap-1855	156	5	the	the	DET
ap-1855	156	6	poisson	poisson	NOUN
ap-1855	156	7	-	-	NOUN
ap-1855	156	8	lie	lie	NOUN
ap-1855	156	9	sigma	sigma	NOUN
ap-1855	156	10	models	model	NOUN
ap-1855	156	11	.	.	PUNCT
ap-1855	157	1	phys	phy	NOUN
ap-1855	157	2	lett	lett	PROPN
ap-1855	157	3	b	b	PROPN
ap-1855	157	4	678(1):143–148	678(1):143–148	PROPN
ap-1855	157	5	,	,	PUNCT
ap-1855	157	6	2009	2009	NUM
ap-1855	157	7	.	.	PUNCT
ap-1855	158	1	[	[	X
ap-1855	158	2	2	2	NUM
ap-1855	158	3	]	]	X
ap-1855	158	4	konstadinos	konstadinos	PROPN
ap-1855	158	5	sfetsos	sfetsos	PROPN
ap-1855	158	6	,	,	PUNCT
ap-1855	158	7	konstadinos	konstadino	VERB
ap-1855	158	8	siampos	siampos	PROPN
ap-1855	158	9	.	.	PUNCT
ap-1855	159	1	quantum	quantum	ADJ
ap-1855	159	2	equivalence	equivalence	NOUN
ap-1855	159	3	in	in	ADP
ap-1855	159	4	poisson	poisson	PROPN
ap-1855	159	5	-	-	NOUN
ap-1855	159	6	lie	lie	NOUN
ap-1855	159	7	t	t	PROPN
ap-1855	159	8	-duality	-duality	PROPN
ap-1855	159	9	.	.	PUNCT
ap-1855	160	1	j	j	PROPN
ap-1855	160	2	high	high	ADJ
ap-1855	160	3	energy	energy	NOUN
ap-1855	160	4	phys	phy	NOUN
ap-1855	160	5	(	(	PUNCT
ap-1855	160	6	6):082	6):082	PROPN
ap-1855	160	7	,	,	PUNCT
ap-1855	160	8	15	15	NUM
ap-1855	160	9	,	,	PUNCT
ap-1855	160	10	2009	2009	NUM
ap-1855	160	11	.	.	PUNCT
ap-1855	161	1	[	[	X
ap-1855	161	2	3	3	X
ap-1855	161	3	]	]	X
ap-1855	161	4	konstadinos	konstadinos	PROPN
ap-1855	161	5	sfetsos	sfetsos	PROPN
ap-1855	161	6	,	,	PUNCT
ap-1855	161	7	konstadinos	konstadinos	PROPN
ap-1855	161	8	siampos	siampos	PROPN
ap-1855	161	9	,	,	PUNCT
ap-1855	161	10	daniel	daniel	PROPN
ap-1855	161	11	c.	c.	PROPN
ap-1855	161	12	thompson	thompson	PROPN
ap-1855	161	13	.	.	PUNCT
ap-1855	162	1	renormalization	renormalization	NOUN
ap-1855	162	2	of	of	ADP
ap-1855	162	3	lorentz	lorentz	PROPN
ap-1855	162	4	non	non	ADJ
ap-1855	162	5	-	-	ADJ
ap-1855	162	6	invariant	invariant	ADJ
ap-1855	162	7	actions	action	NOUN
ap-1855	162	8	and	and	CCONJ
ap-1855	162	9	manifest	manif	ADJ
ap-1855	162	10	t	t	PROPN
ap-1855	162	11	-duality	-duality	PROPN
ap-1855	162	12	.	.	PUNCT
ap-1855	163	1	nuclear	nuclear	ADJ
ap-1855	163	2	phys	phy	NOUN
ap-1855	163	3	b	b	PROPN
ap-1855	163	4	827(3):545–564	827(3):545–564	NUM
ap-1855	163	5	,	,	PUNCT
ap-1855	163	6	2010	2010	NUM
ap-1855	163	7	.	.	PUNCT
ap-1855	164	1	[	[	X
ap-1855	164	2	4	4	X
ap-1855	164	3	]	]	X
ap-1855	164	4	ladislav	ladislav	PROPN
ap-1855	164	5	hlavatý	hlavatý	PROPN
ap-1855	164	6	,	,	PUNCT
ap-1855	164	7	libor	libor	PROPN
ap-1855	164	8	šnobl	šnobl	PROPN
ap-1855	164	9	.	.	PUNCT
ap-1855	165	1	classification	classification	NOUN
ap-1855	165	2	of	of	ADP
ap-1855	165	3	poisson	poisson	NOUN
ap-1855	165	4	-	-	NOUN
ap-1855	165	5	lie	lie	NOUN
ap-1855	165	6	t	t	NOUN
ap-1855	165	7	-dual	-dual	ADJ
ap-1855	165	8	models	model	NOUN
ap-1855	165	9	with	with	ADP
ap-1855	165	10	two	two	NUM
ap-1855	165	11	-	-	PUNCT
ap-1855	165	12	dimensional	dimensional	ADJ
ap-1855	165	13	targets	target	NOUN
ap-1855	165	14	.	.	PUNCT
ap-1855	166	1	modern	modern	ADJ
ap-1855	166	2	phys	phy	NOUN
ap-1855	166	3	lett	lett	VERB
ap-1855	166	4	a	a	DET
ap-1855	166	5	17(7):429–434	17(7):429–434	PROPN
ap-1855	166	6	,	,	PUNCT
ap-1855	166	7	2002	2002	NUM
ap-1855	166	8	.	.	PUNCT
ap-1855	167	1	[	[	X
ap-1855	167	2	5	5	X
ap-1855	167	3	]	]	PUNCT
ap-1855	167	4	libor	libor	PROPN
ap-1855	167	5	šnobl	šnobl	PROPN
ap-1855	167	6	,	,	PUNCT
ap-1855	167	7	ladislav	ladislav	PROPN
ap-1855	167	8	hlavatý	hlavatý	NOUN
ap-1855	167	9	.	.	PUNCT
ap-1855	168	1	classification	classification	NOUN
ap-1855	168	2	of	of	ADP
ap-1855	168	3	six	six	NUM
ap-1855	168	4	-	-	PUNCT
ap-1855	168	5	dimensional	dimensional	ADJ
ap-1855	168	6	real	real	ADJ
ap-1855	168	7	drinfeld	drinfeld	VERB
ap-1855	168	8	doubles	double	NOUN
ap-1855	168	9	.	.	PUNCT
ap-1855	169	1	internat	internat	PROPN
ap-1855	169	2	j	j	PROPN
ap-1855	169	3	modern	modern	ADJ
ap-1855	169	4	phys	phy	NOUN
ap-1855	169	5	a	a	DET
ap-1855	169	6	17(28):4043–4067	17(28):4043–4067	NUM
ap-1855	169	7	,	,	PUNCT
ap-1855	169	8	2002	2002	NUM
ap-1855	169	9	.	.	PUNCT
ap-1855	170	1	[	[	X
ap-1855	170	2	6	6	NUM
ap-1855	170	3	]	]	X
ap-1855	170	4	konstadinos	konstadinos	PROPN
ap-1855	170	5	sfetsos	sfetsos	PROPN
ap-1855	170	6	.	.	PUNCT
ap-1855	171	1	duality	duality	NOUN
ap-1855	171	2	-	-	PUNCT
ap-1855	171	3	invariant	invariant	ADJ
ap-1855	171	4	class	class	NOUN
ap-1855	171	5	of	of	ADP
ap-1855	171	6	two	two	NUM
ap-1855	171	7	-	-	PUNCT
ap-1855	171	8	dimensional	dimensional	ADJ
ap-1855	171	9	field	field	NOUN
ap-1855	171	10	theories	theory	NOUN
ap-1855	171	11	.	.	PUNCT
ap-1855	172	1	nuclear	nuclear	ADJ
ap-1855	172	2	phys	phy	NOUN
ap-1855	172	3	b	b	PROPN
ap-1855	172	4	561(1	561(1	NUM
ap-1855	172	5	-	-	SYM
ap-1855	172	6	2):316–340	2):316–340	NUM
ap-1855	172	7	,	,	PUNCT
ap-1855	172	8	1999	1999	NUM
ap-1855	172	9	.	.	PUNCT
ap-1855	173	1	[	[	X
ap-1855	173	2	7	7	NUM
ap-1855	173	3	]	]	X
ap-1855	173	4	ctirad	ctirad	NOUN
ap-1855	173	5	klimčík	klimčík	PROPN
ap-1855	173	6	,	,	PUNCT
ap-1855	173	7	pavel	pavel	PROPN
ap-1855	173	8	ševera	ševera	NOUN
ap-1855	173	9	.	.	PUNCT
ap-1855	174	1	dual	dual	ADJ
ap-1855	174	2	non	non	ADJ
ap-1855	174	3	-	-	ADJ
ap-1855	174	4	abelian	abelian	ADJ
ap-1855	174	5	duality	duality	NOUN
ap-1855	174	6	and	and	CCONJ
ap-1855	174	7	the	the	DET
ap-1855	174	8	drinfel’d	drinfel’d	NOUN
ap-1855	174	9	double	double	NOUN
ap-1855	174	10	.	.	PUNCT
ap-1855	175	1	phys	phy	NOUN
ap-1855	175	2	lett	lett	PROPN
ap-1855	175	3	b	b	PROPN
ap-1855	175	4	351(4):455–462	351(4):455–462	PROPN
ap-1855	175	5	,	,	PUNCT
ap-1855	175	6	1995	1995	NUM
ap-1855	175	7	.	.	PUNCT
ap-1855	176	1	[	[	X
ap-1855	176	2	8	8	NUM
ap-1855	176	3	]	]	X
ap-1855	176	4	ctirad	ctirad	NOUN
ap-1855	176	5	klimčík	klimčík	PROPN
ap-1855	176	6	.	.	PUNCT
ap-1855	177	1	poisson	poisson	PROPN
ap-1855	177	2	-	-	NOUN
ap-1855	177	3	lie	lie	NOUN
ap-1855	177	4	t	t	PROPN
ap-1855	177	5	-duality	-duality	PROPN
ap-1855	177	6	.	.	PUNCT
ap-1855	178	1	nuclear	nuclear	ADJ
ap-1855	178	2	phys	phy	NOUN
ap-1855	178	3	b	b	PROPN
ap-1855	178	4	proc	proc	NOUN
ap-1855	178	5	suppl	suppl	PROPN
ap-1855	178	6	46:116–121	46:116–121	PROPN
ap-1855	178	7	,	,	PUNCT
ap-1855	178	8	1996	1996	NUM
ap-1855	178	9	.	.	PUNCT
ap-1855	179	1	s	s	X
ap-1855	179	2	-	-	PUNCT
ap-1855	179	3	duality	duality	NOUN
ap-1855	179	4	and	and	CCONJ
ap-1855	179	5	mirror	mirror	NOUN
ap-1855	179	6	symmetry	symmetry	NOUN
ap-1855	179	7	(	(	PUNCT
ap-1855	179	8	trieste	trieste	NOUN
ap-1855	179	9	,	,	PUNCT
ap-1855	179	10	1995	1995	NUM
ap-1855	179	11	)	)	PUNCT
ap-1855	179	12	.	.	PUNCT
ap-1855	180	1	[	[	X
ap-1855	180	2	9	9	NUM
ap-1855	180	3	]	]	PUNCT
ap-1855	180	4	rikard	rikard	PROPN
ap-1855	180	5	von	von	PROPN
ap-1855	180	6	unge	unge	PROPN
ap-1855	180	7	.	.	PUNCT
ap-1855	181	1	poisson	poisson	PROPN
ap-1855	181	2	-	-	NOUN
ap-1855	181	3	lie	lie	NOUN
ap-1855	181	4	t	t	NOUN
ap-1855	181	5	-plurality	-plurality	PROPN
ap-1855	181	6	.	.	PUNCT
ap-1855	182	1	j	j	PROPN
ap-1855	182	2	high	high	ADJ
ap-1855	182	3	energy	energy	NOUN
ap-1855	182	4	phys	phy	NOUN
ap-1855	182	5	(	(	PUNCT
ap-1855	182	6	7):014	7):014	NUM
ap-1855	182	7	,	,	PUNCT
ap-1855	182	8	16	16	NUM
ap-1855	182	9	,	,	PUNCT
ap-1855	182	10	2002	2002	NUM
ap-1855	182	11	.	.	PUNCT
ap-1855	183	1	[	[	X
ap-1855	183	2	10	10	NUM
ap-1855	183	3	]	]	X
ap-1855	183	4	ladislav	ladislav	NOUN
ap-1855	183	5	hlavatý	hlavatý	NOUN
ap-1855	183	6	,	,	PUNCT
ap-1855	183	7	jan	jan	PROPN
ap-1855	183	8	hýbl	hýbl	NOUN
ap-1855	183	9	,	,	PUNCT
ap-1855	183	10	miroslav	miroslav	ADJ
ap-1855	183	11	turek	turek	NOUN
ap-1855	183	12	.	.	PUNCT
ap-1855	184	1	classical	classical	ADJ
ap-1855	184	2	solutions	solution	NOUN
ap-1855	184	3	of	of	ADP
ap-1855	184	4	sigma	sigma	PROPN
ap-1855	184	5	models	model	NOUN
ap-1855	184	6	in	in	ADP
ap-1855	184	7	curved	curved	ADJ
ap-1855	184	8	backgrounds	background	NOUN
ap-1855	184	9	by	by	ADP
ap-1855	184	10	the	the	DET
ap-1855	184	11	poisson	poisson	NOUN
ap-1855	184	12	-	-	NOUN
ap-1855	184	13	lie	lie	NOUN
ap-1855	184	14	t	t	NOUN
ap-1855	184	15	-plurality	-plurality	NOUN
ap-1855	184	16	.	.	PUNCT
ap-1855	185	1	internat	internat	PROPN
ap-1855	185	2	j	j	PROPN
ap-1855	185	3	modern	modern	ADJ
ap-1855	185	4	phys	phy	NOUN
ap-1855	185	5	a	a	DET
ap-1855	185	6	22(5):1039–1052	22(5):1039–1052	NOUN
ap-1855	185	7	,	,	PUNCT
ap-1855	185	8	2007	2007	NUM
ap-1855	185	9	.	.	PUNCT
ap-1855	186	1	[	[	X
ap-1855	186	2	11	11	NUM
ap-1855	186	3	]	]	PUNCT
ap-1855	186	4	ladislav	ladislav	PROPN
ap-1855	186	5	hlavatý	hlavatý	PROPN
ap-1855	186	6	,	,	PUNCT
ap-1855	186	7	libor	libor	PROPN
ap-1855	186	8	šnobl	šnobl	PROPN
ap-1855	186	9	.	.	PUNCT
ap-1855	187	1	poisson	poisson	PROPN
ap-1855	187	2	-	-	NOUN
ap-1855	187	3	lie	lie	NOUN
ap-1855	187	4	t	t	NOUN
ap-1855	187	5	-plurality	-plurality	NOUN
ap-1855	187	6	of	of	ADP
ap-1855	187	7	three	three	NUM
ap-1855	187	8	-	-	PUNCT
ap-1855	187	9	dimensional	dimensional	ADJ
ap-1855	187	10	conformally	conformally	ADV
ap-1855	187	11	invariant	invariant	ADJ
ap-1855	187	12	sigma	sigma	PROPN
ap-1855	187	13	models	model	NOUN
ap-1855	187	14	.	.	PUNCT
ap-1855	188	1	j	j	PROPN
ap-1855	188	2	high	high	ADJ
ap-1855	188	3	energy	energy	NOUN
ap-1855	188	4	phys	phy	NOUN
ap-1855	188	5	(	(	PUNCT
ap-1855	188	6	5):010	5):010	NUM
ap-1855	188	7	,	,	PUNCT
ap-1855	188	8	19	19	NUM
ap-1855	188	9	,	,	PUNCT
ap-1855	188	10	2004	2004	NUM
ap-1855	188	11	.	.	PUNCT
ap-1855	189	1	437	437	NUM
ap-1855	189	2	acta	acta	PROPN
ap-1855	189	3	polytechnica	polytechnica	PROPN
ap-1855	189	4	53(5):433–437	53(5):433–437	NUM
ap-1855	189	5	,	,	PUNCT
ap-1855	189	6	2013	2013	NUM
ap-1855	189	7	1	1	NUM
ap-1855	189	8	introduction	introduction	NOUN
ap-1855	189	9	2	2	NUM
ap-1855	189	10	review	review	NOUN
ap-1855	189	11	of	of	ADP
ap-1855	189	12	poisson	poisson	NOUN
ap-1855	189	13	–	–	PUNCT
ap-1855	189	14	lie	lie	NOUN
ap-1855	189	15	t	t	PROPN
ap-1855	189	16	-	-	PUNCT
ap-1855	189	17	plurality	plurality	NOUN
ap-1855	189	18	3	3	NUM
ap-1855	189	19	relation	relation	NOUN
ap-1855	189	20	to	to	ADP
ap-1855	189	21	the	the	DET
ap-1855	189	22	renormalization	renormalization	NOUN
ap-1855	189	23	group	group	NOUN
ap-1855	189	24	equations	equation	NOUN
ap-1855	189	25	on	on	ADP
ap-1855	189	26	the	the	DET
ap-1855	189	27	drinfel'd	drinfel'd	PROPN
ap-1855	189	28	double	double	ADJ
ap-1855	189	29	4	4	NUM
ap-1855	189	30	non	non	ADJ
ap-1855	189	31	-	-	ADJ
ap-1855	189	32	uniqueness	uniqueness	NOUN
ap-1855	189	33	of	of	ADP
ap-1855	189	34	the	the	DET
ap-1855	189	35	renormalization	renormalization	NOUN
ap-1855	189	36	group	group	NOUN
ap-1855	189	37	equations	equation	VERB
ap-1855	189	38	4.1	4.1	NUM
ap-1855	189	39	renormalizable	renormalizable	ADJ
ap-1855	189	40	sigma	sigma	NOUN
ap-1855	189	41	-	-	PUNCT
ap-1855	189	42	models	model	NOUN
ap-1855	189	43	for	for	ADP
ap-1855	189	44	m	m	NOUN
ap-1855	189	45	proportional	proportional	ADJ
ap-1855	189	46	to	to	ADP
ap-1855	189	47	the	the	DET
ap-1855	189	48	unit	unit	NOUN
ap-1855	189	49	or	or	CCONJ
ap-1855	189	50	diagonal	diagonal	ADJ
ap-1855	189	51	matrix	matrix	NOUN
ap-1855	189	52	5	5	NUM
ap-1855	189	53	conclusions	conclusion	NOUN
ap-1855	189	54	acknowledgements	acknowledgement	NOUN
ap-1855	189	55	references	reference	NOUN