id	sid	tid	token	lemma	pos
ejpam-1834	1	1	european	european	PROPN
ejpam-1834	1	2	journal	journal	PROPN
ejpam-1834	1	3	of	of	ADP
ejpam-1834	1	4	pure	pure	ADJ
ejpam-1834	1	5	and	and	CCONJ
ejpam-1834	1	6	applied	apply	VERB
ejpam-1834	1	7	mathematics	mathematic	NOUN
ejpam-1834	1	8	vol	vol	NOUN
ejpam-1834	1	9	.	.	PROPN
ejpam-1834	2	1	6	6	NUM
ejpam-1834	2	2	,	,	PUNCT
ejpam-1834	2	3	no	no	INTJ
ejpam-1834	2	4	.	.	NOUN
ejpam-1834	2	5	3	3	NUM
ejpam-1834	2	6	,	,	PUNCT
ejpam-1834	2	7	2013	2013	NUM
ejpam-1834	2	8	,	,	PUNCT
ejpam-1834	2	9	282	282	NUM
ejpam-1834	2	10	-	-	SYM
ejpam-1834	2	11	298	298	NUM
ejpam-1834	2	12	issn	issn	PROPN
ejpam-1834	2	13	1307	1307	NUM
ejpam-1834	2	14	-	-	SYM
ejpam-1834	2	15	5543	5543	NUM
ejpam-1834	2	16	–	–	PUNCT
ejpam-1834	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-1834	2	18	k	k	X
ejpam-1834	2	19	-	-	NOUN
ejpam-1834	2	20	theory	theory	NOUN
ejpam-1834	2	21	,	,	PUNCT
ejpam-1834	2	22	chamber	chamber	NOUN
ejpam-1834	2	23	homology	homology	NOUN
ejpam-1834	2	24	and	and	CCONJ
ejpam-1834	2	25	base	base	NOUN
ejpam-1834	2	26	change	change	NOUN
ejpam-1834	2	27	for	for	ADP
ejpam-1834	2	28	gl(2	gl(2	PROPN
ejpam-1834	2	29	)	)	PUNCT
ejpam-1834	2	30	wemedh	wemedh	NOUN
ejpam-1834	2	31	aeal	aeal	NOUN
ejpam-1834	2	32	school	school	NOUN
ejpam-1834	2	33	of	of	ADP
ejpam-1834	2	34	mathematics	mathematic	NOUN
ejpam-1834	2	35	,	,	PUNCT
ejpam-1834	2	36	the	the	DET
ejpam-1834	2	37	university	university	PROPN
ejpam-1834	2	38	of	of	ADP
ejpam-1834	2	39	manchester	manchester	PROPN
ejpam-1834	2	40	,	,	PUNCT
ejpam-1834	2	41	greater	great	ADJ
ejpam-1834	2	42	manchester	manchester	PROPN
ejpam-1834	2	43	,	,	PUNCT
ejpam-1834	2	44	united	united	ADJ
ejpam-1834	2	45	kingdom	kingdom	PROPN
ejpam-1834	2	46	abstract	abstract	NOUN
ejpam-1834	2	47	.	.	PUNCT
ejpam-1834	3	1	in	in	ADP
ejpam-1834	3	2	this	this	DET
ejpam-1834	3	3	work	work	NOUN
ejpam-1834	3	4	on	on	ADP
ejpam-1834	3	5	gl(2	gl(2	PROPN
ejpam-1834	3	6	)	)	PUNCT
ejpam-1834	3	7	we	we	PRON
ejpam-1834	3	8	have	have	AUX
ejpam-1834	3	9	found	find	VERB
ejpam-1834	3	10	that	that	SCONJ
ejpam-1834	3	11	it	it	PRON
ejpam-1834	3	12	is	be	AUX
ejpam-1834	3	13	hard	hard	ADJ
ejpam-1834	3	14	to	to	PART
ejpam-1834	3	15	compute	compute	VERB
ejpam-1834	3	16	the	the	DET
ejpam-1834	3	17	chamber	chamber	NOUN
ejpam-1834	3	18	homology	homology	NOUN
ejpam-1834	3	19	groups	group	NOUN
ejpam-1834	3	20	from	from	ADP
ejpam-1834	3	21	the	the	DET
ejpam-1834	3	22	quotient	quotient	NOUN
ejpam-1834	3	23	space	space	NOUN
ejpam-1834	3	24	β1gl(2)/gl(2	β1gl(2)/gl(2	PUNCT
ejpam-1834	3	25	)	)	PUNCT
ejpam-1834	3	26	(	(	PUNCT
ejpam-1834	3	27	mobius	mobius	PROPN
ejpam-1834	3	28	band	band	NOUN
ejpam-1834	3	29	)	)	PUNCT
ejpam-1834	3	30	,	,	PUNCT
ejpam-1834	3	31	so	so	ADV
ejpam-1834	3	32	we	we	PRON
ejpam-1834	3	33	introduced	introduce	VERB
ejpam-1834	3	34	a	a	DET
ejpam-1834	3	35	new	new	ADJ
ejpam-1834	3	36	way	way	NOUN
ejpam-1834	3	37	to	to	PART
ejpam-1834	3	38	compute	compute	VERB
ejpam-1834	3	39	the	the	DET
ejpam-1834	3	40	chamber	chamber	NOUN
ejpam-1834	3	41	homology	homology	NOUN
ejpam-1834	3	42	groups	group	NOUN
ejpam-1834	3	43	by	by	ADP
ejpam-1834	3	44	restricting	restrict	VERB
ejpam-1834	3	45	to	to	ADP
ejpam-1834	3	46	the	the	DET
ejpam-1834	3	47	original	original	ADJ
ejpam-1834	3	48	quotient	quotient	NOUN
ejpam-1834	3	49	space	space	NOUN
ejpam-1834	3	50	(	(	PUNCT
ejpam-1834	3	51	edge	edge	NOUN
ejpam-1834	3	52	)	)	PUNCT
ejpam-1834	3	53	before	before	ADP
ejpam-1834	3	54	taking	take	VERB
ejpam-1834	3	55	the	the	DET
ejpam-1834	3	56	real	real	ADJ
ejpam-1834	3	57	line	line	NOUN
ejpam-1834	3	58	r.	r.	NOUN
ejpam-1834	3	59	we	we	PRON
ejpam-1834	3	60	have	have	AUX
ejpam-1834	3	61	not	not	PART
ejpam-1834	3	62	yet	yet	ADV
ejpam-1834	3	63	given	give	VERB
ejpam-1834	3	64	a	a	DET
ejpam-1834	3	65	full	full	ADJ
ejpam-1834	3	66	description	description	NOUN
ejpam-1834	3	67	of	of	ADP
ejpam-1834	3	68	what	what	PRON
ejpam-1834	3	69	happening	happen	VERB
ejpam-1834	3	70	under	under	ADP
ejpam-1834	3	71	base	base	NOUN
ejpam-1834	3	72	change	change	NOUN
ejpam-1834	3	73	when	when	SCONJ
ejpam-1834	3	74	we	we	PRON
ejpam-1834	3	75	work	work	VERB
ejpam-1834	3	76	on	on	ADP
ejpam-1834	3	77	the	the	DET
ejpam-1834	3	78	cuspidal	cuspidal	NOUN
ejpam-1834	3	79	representation	representation	NOUN
ejpam-1834	3	80	but	but	CCONJ
ejpam-1834	3	81	,	,	PUNCT
ejpam-1834	3	82	we	we	PRON
ejpam-1834	3	83	somehow	somehow	ADV
ejpam-1834	3	84	,	,	PUNCT
ejpam-1834	3	85	gave	give	VERB
ejpam-1834	3	86	a	a	DET
ejpam-1834	3	87	way	way	NOUN
ejpam-1834	3	88	to	to	PART
ejpam-1834	3	89	compute	compute	VERB
ejpam-1834	3	90	the	the	DET
ejpam-1834	3	91	base	base	NOUN
ejpam-1834	3	92	change	change	NOUN
ejpam-1834	3	93	effect	effect	NOUN
ejpam-1834	3	94	of	of	ADP
ejpam-1834	3	95	some	some	DET
ejpam-1834	3	96	type	type	NOUN
ejpam-1834	3	97	of	of	ADP
ejpam-1834	3	98	cuspidal	cuspidal	NOUN
ejpam-1834	3	99	representations	representation	NOUN
ejpam-1834	3	100	which	which	PRON
ejpam-1834	3	101	are	be	AUX
ejpam-1834	3	102	the	the	DET
ejpam-1834	3	103	admissible	admissible	ADJ
ejpam-1834	3	104	pairs	pair	NOUN
ejpam-1834	3	105	.	.	PUNCT
ejpam-1834	4	1	the	the	DET
ejpam-1834	4	2	base	base	NOUN
ejpam-1834	4	3	change	change	NOUN
ejpam-1834	4	4	of	of	ADP
ejpam-1834	4	5	a	a	DET
ejpam-1834	4	6	principal	principal	ADJ
ejpam-1834	4	7	series	series	NOUN
ejpam-1834	4	8	representations	representation	NOUN
ejpam-1834	4	9	is	be	AUX
ejpam-1834	4	10	always	always	ADV
ejpam-1834	4	11	a	a	DET
ejpam-1834	4	12	principal	principal	ADJ
ejpam-1834	4	13	series	series	NOUN
ejpam-1834	4	14	.	.	PUNCT
ejpam-1834	5	1	similarly	similarly	ADV
ejpam-1834	5	2	,	,	PUNCT
ejpam-1834	5	3	the	the	DET
ejpam-1834	5	4	base	base	NOUN
ejpam-1834	5	5	change	change	NOUN
ejpam-1834	5	6	of	of	ADP
ejpam-1834	5	7	a	a	DET
ejpam-1834	5	8	twist	twist	NOUN
ejpam-1834	5	9	of	of	ADP
ejpam-1834	5	10	steinberg	steinberg	PROPN
ejpam-1834	5	11	representation	representation	NOUN
ejpam-1834	5	12	is	be	AUX
ejpam-1834	5	13	again	again	ADV
ejpam-1834	5	14	a	a	DET
ejpam-1834	5	15	twist	twist	NOUN
ejpam-1834	5	16	of	of	ADP
ejpam-1834	5	17	steinberg	steinberg	PROPN
ejpam-1834	5	18	.	.	PUNCT
ejpam-1834	6	1	however	however	ADV
ejpam-1834	6	2	,	,	PUNCT
ejpam-1834	6	3	an	an	DET
ejpam-1834	6	4	irreducible	irreducible	ADJ
ejpam-1834	6	5	galois	galois	NOUN
ejpam-1834	6	6	representation	representation	NOUN
ejpam-1834	6	7	can	can	AUX
ejpam-1834	6	8	certainly	certainly	ADV
ejpam-1834	6	9	restrict	restrict	VERB
ejpam-1834	6	10	to	to	ADP
ejpam-1834	6	11	a	a	DET
ejpam-1834	6	12	reducible	reducible	ADJ
ejpam-1834	6	13	one	one	NOUN
ejpam-1834	6	14	.	.	PUNCT
ejpam-1834	7	1	thus	thus	ADV
ejpam-1834	7	2	it	it	PRON
ejpam-1834	7	3	is	be	AUX
ejpam-1834	7	4	possible	possible	ADJ
ejpam-1834	7	5	for	for	SCONJ
ejpam-1834	7	6	the	the	DET
ejpam-1834	7	7	base	base	NOUN
ejpam-1834	7	8	change	change	NOUN
ejpam-1834	7	9	of	of	ADP
ejpam-1834	7	10	a	a	DET
ejpam-1834	7	11	cuspidal	cuspidal	NOUN
ejpam-1834	7	12	to	to	PART
ejpam-1834	7	13	be	be	AUX
ejpam-1834	7	14	principal	principal	ADJ
ejpam-1834	7	15	series	series	NOUN
ejpam-1834	7	16	.	.	PUNCT
ejpam-1834	8	1	in	in	ADP
ejpam-1834	8	2	fact	fact	NOUN
ejpam-1834	8	3	,	,	PUNCT
ejpam-1834	8	4	if	if	SCONJ
ejpam-1834	8	5	π	π	PROPN
ejpam-1834	8	6	is	be	AUX
ejpam-1834	8	7	any	any	DET
ejpam-1834	8	8	irreducible	irreducible	ADJ
ejpam-1834	8	9	admissible	admissible	ADJ
ejpam-1834	8	10	representation	representation	NOUN
ejpam-1834	8	11	of	of	ADP
ejpam-1834	8	12	gl(2	gl(2	PROPN
ejpam-1834	8	13	,	,	PUNCT
ejpam-1834	8	14	f	f	PROPN
ejpam-1834	8	15	)	)	PUNCT
ejpam-1834	8	16	then	then	ADV
ejpam-1834	8	17	one	one	PRON
ejpam-1834	8	18	can	can	AUX
ejpam-1834	8	19	find	find	VERB
ejpam-1834	8	20	an	an	DET
ejpam-1834	8	21	extension	extension	NOUN
ejpam-1834	8	22	e	e	NOUN
ejpam-1834	8	23	/	/	SYM
ejpam-1834	8	24	f	f	PROPN
ejpam-1834	8	25	such	such	ADJ
ejpam-1834	8	26	that	that	PRON
ejpam-1834	8	27	bc(π	bc(π	PUNCT
ejpam-1834	8	28	)	)	PUNCT
ejpam-1834	8	29	is	be	AUX
ejpam-1834	8	30	either	either	CCONJ
ejpam-1834	8	31	unramified	unramifie	VERB
ejpam-1834	8	32	or	or	CCONJ
ejpam-1834	8	33	steinberg	steinberg	PROPN
ejpam-1834	8	34	.	.	PUNCT
ejpam-1834	8	35	.	.	PUNCT
ejpam-1834	9	1	2010	2010	NUM
ejpam-1834	9	2	mathematics	mathematic	NOUN
ejpam-1834	9	3	subject	subject	NOUN
ejpam-1834	9	4	classifications	classification	NOUN
ejpam-1834	9	5	:	:	PUNCT
ejpam-1834	9	6	58b34	58b34	NUM
ejpam-1834	9	7	,	,	PUNCT
ejpam-1834	9	8	11s70	11s70	NUM
ejpam-1834	9	9	,	,	PUNCT
ejpam-1834	9	10	46l80	46l80	NUM
ejpam-1834	9	11	,	,	PUNCT
ejpam-1834	9	12	11s31	11s31	NUM
ejpam-1834	9	13	,	,	PUNCT
ejpam-1834	9	14	19k33	19k33	NUM
ejpam-1834	9	15	,	,	PUNCT
ejpam-1834	9	16	11f85	11f85	NUM
ejpam-1834	9	17	key	key	ADJ
ejpam-1834	9	18	words	word	NOUN
ejpam-1834	9	19	and	and	CCONJ
ejpam-1834	9	20	phrases	phrase	NOUN
ejpam-1834	9	21	:	:	PUNCT
ejpam-1834	9	22	local	local	ADJ
ejpam-1834	9	23	langlands	langland	NOUN
ejpam-1834	9	24	,	,	PUNCT
ejpam-1834	9	25	base	base	NOUN
ejpam-1834	9	26	change	change	NOUN
ejpam-1834	9	27	,	,	PUNCT
ejpam-1834	9	28	k	k	NOUN
ejpam-1834	9	29	-	-	NOUN
ejpam-1834	9	30	theory	theory	NOUN
ejpam-1834	9	31	,	,	PUNCT
ejpam-1834	9	32	chamber	chamber	NOUN
ejpam-1834	9	33	homology	homology	NOUN
ejpam-1834	9	34	,	,	PUNCT
ejpam-1834	9	35	baum	baum	PROPN
ejpam-1834	9	36	-	-	PUNCT
ejpam-1834	9	37	conns	conns	PROPN
ejpam-1834	9	38	map	map	NOUN
ejpam-1834	9	39	,	,	PUNCT
ejpam-1834	9	40	representation	representation	NOUN
ejpam-1834	9	41	theory	theory	NOUN
ejpam-1834	9	42	1	1	NUM
ejpam-1834	9	43	.	.	PUNCT
ejpam-1834	10	1	introduction	introduction	NOUN
ejpam-1834	10	2	let	let	VERB
ejpam-1834	10	3	g	g	NOUN
ejpam-1834	10	4	=	=	SYM
ejpam-1834	10	5	gl(n	gl(n	X
ejpam-1834	10	6	,	,	PUNCT
ejpam-1834	10	7	f	f	X
ejpam-1834	10	8	)	)	PUNCT
ejpam-1834	10	9	and	and	CCONJ
ejpam-1834	10	10	let	let	VERB
ejpam-1834	10	11	c∗r	c∗r	PRON
ejpam-1834	10	12	g	g	NOUN
ejpam-1834	10	13	denote	denote	VERB
ejpam-1834	10	14	the	the	DET
ejpam-1834	10	15	reduced	reduced	ADJ
ejpam-1834	10	16	c∗-algebra	c∗-algebra	PROPN
ejpam-1834	10	17	of	of	ADP
ejpam-1834	10	18	g.	g.	NOUN
ejpam-1834	10	19	according	accord	VERB
ejpam-1834	10	20	to	to	ADP
ejpam-1834	10	21	the	the	DET
ejpam-1834	10	22	baum	baum	NOUN
ejpam-1834	10	23	-	-	PUNCT
ejpam-1834	10	24	connes	conne	NOUN
ejpam-1834	10	25	correspondence	correspondence	NOUN
ejpam-1834	10	26	,	,	PUNCT
ejpam-1834	10	27	we	we	PRON
ejpam-1834	10	28	have	have	VERB
ejpam-1834	10	29	a	a	DET
ejpam-1834	10	30	canonical	canonical	ADJ
ejpam-1834	10	31	isomorphism	isomorphism	NOUN
ejpam-1834	11	1	[	[	X
ejpam-1834	11	2	2	2	NUM
ejpam-1834	11	3	]	]	PUNCT
ejpam-1834	11	4	µf	µf	NOUN
ejpam-1834	11	5	:	:	PUNCT
ejpam-1834	11	6	k	k	PROPN
ejpam-1834	11	7	top	top	PROPN
ejpam-1834	11	8	j	j	PROPN
ejpam-1834	11	9	β1g→	β1g→	VERB
ejpam-1834	11	10	k	k	PROPN
ejpam-1834	12	1	j	j	PROPN
ejpam-1834	12	2	c∗r	c∗r	PUNCT
ejpam-1834	12	3	g	g	NOUN
ejpam-1834	12	4	,	,	PUNCT
ejpam-1834	12	5	where	where	SCONJ
ejpam-1834	12	6	β1	β1	PROPN
ejpam-1834	12	7	g	g	PROPN
ejpam-1834	12	8	denotes	denote	VERB
ejpam-1834	12	9	the	the	DET
ejpam-1834	12	10	enlarged	enlarge	VERB
ejpam-1834	12	11	building	building	NOUN
ejpam-1834	12	12	of	of	ADP
ejpam-1834	12	13	g.	g.	PROPN
ejpam-1834	12	14	in	in	ADP
ejpam-1834	12	15	noncommutative	noncommutative	PROPN
ejpam-1834	12	16	geometry	geometry	NOUN
ejpam-1834	12	17	,	,	PUNCT
ejpam-1834	12	18	isomorphisms	isomorphism	NOUN
ejpam-1834	12	19	of	of	ADP
ejpam-1834	12	20	c∗-algebras	c∗-algebra	NOUN
ejpam-1834	12	21	are	be	AUX
ejpam-1834	12	22	too	too	ADV
ejpam-1834	12	23	restrictive	restrictive	ADJ
ejpam-1834	12	24	to	to	PART
ejpam-1834	12	25	provide	provide	VERB
ejpam-1834	12	26	a	a	DET
ejpam-1834	12	27	good	good	ADJ
ejpam-1834	12	28	notion	notion	NOUN
ejpam-1834	12	29	of	of	ADP
ejpam-1834	12	30	isomorphisms	isomorphism	NOUN
ejpam-1834	12	31	of	of	ADP
ejpam-1834	12	32	noncommutative	noncommutative	ADJ
ejpam-1834	12	33	spaces	space	NOUN
ejpam-1834	12	34	,	,	PUNCT
ejpam-1834	12	35	and	and	CCONJ
ejpam-1834	12	36	the	the	DET
ejpam-1834	12	37	correct	correct	ADJ
ejpam-1834	12	38	notion	notion	NOUN
ejpam-1834	12	39	is	be	AUX
ejpam-1834	12	40	provided	provide	VERB
ejpam-1834	12	41	by	by	ADP
ejpam-1834	12	42	strong	strong	ADJ
ejpam-1834	12	43	morita	morita	PROPN
ejpam-1834	12	44	equivalence	equivalence	NOUN
ejpam-1834	12	45	of	of	ADP
ejpam-1834	12	46	c∗-algebras	c∗-algebra	NOUN
ejpam-1834	12	47	.	.	PUNCT
ejpam-1834	13	1	the	the	DET
ejpam-1834	13	2	noncommutative	noncommutative	PROPN
ejpam-1834	13	3	c∗-algebra	c∗-algebra	PROPN
ejpam-1834	13	4	c∗r	c∗r	PUNCT
ejpam-1834	13	5	g	g	NOUN
ejpam-1834	13	6	is	be	AUX
ejpam-1834	13	7	strongly	strongly	ADV
ejpam-1834	13	8	morita	morita	PROPN
ejpam-1834	13	9	equivalent	equivalent	NOUN
ejpam-1834	13	10	to	to	ADP
ejpam-1834	13	11	the	the	DET
ejpam-1834	13	12	commutative	commutative	ADJ
ejpam-1834	13	13	c∗-algebra	c∗-algebra	PROPN
ejpam-1834	13	14	c0(i	c0(i	SYM
ejpam-1834	13	15	r	r	NOUN
ejpam-1834	13	16	r	r	NOUN
ejpam-1834	13	17	t	t	NOUN
ejpam-1834	13	18	g	g	NOUN
ejpam-1834	13	19	)	)	PUNCT
ejpam-1834	13	20	where	where	SCONJ
ejpam-1834	13	21	i	i	PRON
ejpam-1834	13	22	r	r	NOUN
ejpam-1834	13	23	r	r	NOUN
ejpam-1834	13	24	t	t	NOUN
ejpam-1834	13	25	g	g	NOUN
ejpam-1834	13	26	denotes	denote	VERB
ejpam-1834	13	27	the	the	DET
ejpam-1834	13	28	tempered	tempered	ADJ
ejpam-1834	13	29	dual	dual	ADV
ejpam-1834	13	30	of	of	ADP
ejpam-1834	13	31	g	g	PROPN
ejpam-1834	13	32	[	[	X
ejpam-1834	13	33	18	18	NUM
ejpam-1834	13	34	]	]	PUNCT
ejpam-1834	13	35	.	.	PUNCT
ejpam-1834	14	1	consequently	consequently	ADV
ejpam-1834	14	2	,	,	PUNCT
ejpam-1834	14	3	we	we	PRON
ejpam-1834	14	4	have	have	VERB
ejpam-1834	14	5	k	k	PROPN
ejpam-1834	14	6	j	j	PROPN
ejpam-1834	14	7	c∗r	c∗r	PUNCT
ejpam-1834	14	8	g	g	PROPN
ejpam-1834	14	9	∼=	∼=	PROPN
ejpam-1834	14	10	k	k	PROPN
ejpam-1834	14	11	j	j	PROPN
ejpam-1834	15	1	i	i	PRON
ejpam-1834	15	2	r	r	NOUN
ejpam-1834	15	3	r	r	NOUN
ejpam-1834	15	4	t	t	NOUN
ejpam-1834	15	5	g	g	NOUN
ejpam-1834	15	6	email	email	NOUN
ejpam-1834	15	7	address	address	NOUN
ejpam-1834	15	8	:	:	PUNCT
ejpam-1834	15	9	wemedh.aeal@manchester.ac.uk	wemedh.aeal@manchester.ac.uk	NUM
ejpam-1834	15	10	,	,	PUNCT
ejpam-1834	15	11	wemedh@hotmail.com	wemedh@hotmail.com	PROPN
ejpam-1834	15	12	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-1834	16	1	282	282	NUM
ejpam-1834	16	2	c	c	X
ejpam-1834	16	3	©	©	PROPN
ejpam-1834	16	4	2013	2013	NUM
ejpam-1834	16	5	ejpam	ejpam	NOUN
ejpam-1834	16	6	all	all	DET
ejpam-1834	16	7	rights	right	NOUN
ejpam-1834	16	8	reserved	reserve	VERB
ejpam-1834	16	9	.	.	PUNCT
ejpam-1834	17	1	w.	w.	PROPN
ejpam-1834	17	2	aeal	aeal	PROPN
ejpam-1834	17	3	/	/	SYM
ejpam-1834	17	4	eur	eur	PROPN
ejpam-1834	17	5	.	.	PUNCT
ejpam-1834	18	1	j.	j.	PROPN
ejpam-1834	18	2	pure	pure	PROPN
ejpam-1834	18	3	appl	appl	PROPN
ejpam-1834	18	4	.	.	PROPN
ejpam-1834	18	5	math	math	PROPN
ejpam-1834	18	6	,	,	PUNCT
ejpam-1834	18	7	6	6	NUM
ejpam-1834	18	8	(	(	PUNCT
ejpam-1834	18	9	2013	2013	NUM
ejpam-1834	18	10	)	)	PUNCT
ejpam-1834	18	11	,	,	PUNCT
ejpam-1834	18	12	282	282	NUM
ejpam-1834	18	13	-	-	SYM
ejpam-1834	18	14	298	298	NUM
ejpam-1834	18	15	283	283	NUM
ejpam-1834	18	16	and	and	CCONJ
ejpam-1834	18	17	this	this	PRON
ejpam-1834	18	18	leads	lead	VERB
ejpam-1834	18	19	to	to	ADP
ejpam-1834	18	20	the	the	DET
ejpam-1834	18	21	following	follow	VERB
ejpam-1834	18	22	formulation	formulation	NOUN
ejpam-1834	18	23	of	of	ADP
ejpam-1834	18	24	the	the	DET
ejpam-1834	18	25	baum	baum	NOUN
ejpam-1834	18	26	-	-	PUNCT
ejpam-1834	18	27	connes	conne	NOUN
ejpam-1834	18	28	correspondence	correspondence	NOUN
ejpam-1834	18	29	:	:	PUNCT
ejpam-1834	19	1	k	k	PROPN
ejpam-1834	19	2	top	top	PROPN
ejpam-1834	19	3	j	j	PROPN
ejpam-1834	19	4	β1	β1	PROPN
ejpam-1834	19	5	g	g	NOUN
ejpam-1834	19	6	∼=	∼=	PROPN
ejpam-1834	19	7	k	k	PROPN
ejpam-1834	19	8	j	j	PROPN
ejpam-1834	20	1	i	i	PRON
ejpam-1834	20	2	r	r	NOUN
ejpam-1834	20	3	r	r	NOUN
ejpam-1834	20	4	t	t	NOUN
ejpam-1834	20	5	g.	g.	NOUN
ejpam-1834	20	6	this	this	PRON
ejpam-1834	20	7	in	in	ADP
ejpam-1834	20	8	turn	turn	NOUN
ejpam-1834	20	9	leads	lead	VERB
ejpam-1834	20	10	to	to	ADP
ejpam-1834	20	11	the	the	DET
ejpam-1834	20	12	following	follow	VERB
ejpam-1834	20	13	diagram	diagram	NOUN
ejpam-1834	20	14	k	k	PROPN
ejpam-1834	20	15	top	top	PROPN
ejpam-1834	20	16	j	j	PROPN
ejpam-1834	20	17	(	(	PUNCT
ejpam-1834	20	18	β	β	PROPN
ejpam-1834	20	19	1g(e	1g(e	NUM
ejpam-1834	20	20	)	)	PUNCT
ejpam-1834	20	21	)	)	PUNCT
ejpam-1834	21	1	�	�	PROPN
ejpam-1834	21	2	�	�	PROPN
ejpam-1834	21	3	µe	µe	ADP
ejpam-1834	21	4	//	//	PROPN
ejpam-1834	21	5	k	k	PROPN
ejpam-1834	22	1	j(i	j(i	PROPN
ejpam-1834	22	2	r	r	NOUN
ejpam-1834	22	3	r	r	NOUN
ejpam-1834	22	4	t	t	NOUN
ejpam-1834	22	5	g(e	g(e	PROPN
ejpam-1834	22	6	)	)	PUNCT
ejpam-1834	22	7	)	)	PUNCT
ejpam-1834	23	1	k	k	PROPN
ejpam-1834	23	2	j(bce	j(bce	PROPN
ejpam-1834	23	3	/	/	SYM
ejpam-1834	23	4	f	f	PROPN
ejpam-1834	23	5	)	)	PUNCT
ejpam-1834	23	6	�	�	PROPN
ejpam-1834	23	7	�	�	PROPN
ejpam-1834	23	8	k	k	PROPN
ejpam-1834	23	9	top	top	PROPN
ejpam-1834	23	10	j	j	PROPN
ejpam-1834	23	11	(	(	PUNCT
ejpam-1834	23	12	β	β	NOUN
ejpam-1834	23	13	1g(f	1g(f	NUM
ejpam-1834	23	14	)	)	PUNCT
ejpam-1834	23	15	)	)	PUNCT
ejpam-1834	23	16	µf	µf	ADP
ejpam-1834	23	17	//	//	PUNCT
ejpam-1834	23	18	k	k	X
ejpam-1834	23	19	j(i	j(i	PROPN
ejpam-1834	23	20	r	r	NOUN
ejpam-1834	23	21	r	r	NOUN
ejpam-1834	23	22	t	t	NOUN
ejpam-1834	23	23	g(f	g(f	PROPN
ejpam-1834	23	24	)	)	PUNCT
ejpam-1834	23	25	)	)	PUNCT
ejpam-1834	23	26	where	where	SCONJ
ejpam-1834	23	27	the	the	DET
ejpam-1834	23	28	left	left	ADJ
ejpam-1834	23	29	-	-	PUNCT
ejpam-1834	23	30	hand	hand	NOUN
ejpam-1834	23	31	vertical	vertical	ADJ
ejpam-1834	23	32	map	map	NOUN
ejpam-1834	23	33	is	be	AUX
ejpam-1834	23	34	the	the	DET
ejpam-1834	23	35	unique	unique	ADJ
ejpam-1834	23	36	map	map	NOUN
ejpam-1834	23	37	which	which	PRON
ejpam-1834	23	38	makes	make	VERB
ejpam-1834	23	39	the	the	DET
ejpam-1834	23	40	diagram	diagram	NOUN
ejpam-1834	23	41	commutative	commutative	ADJ
ejpam-1834	23	42	.	.	PUNCT
ejpam-1834	24	1	this	this	DET
ejpam-1834	24	2	work	work	NOUN
ejpam-1834	24	3	will	will	AUX
ejpam-1834	24	4	be	be	AUX
ejpam-1834	24	5	concerned	concern	VERB
ejpam-1834	24	6	with	with	ADP
ejpam-1834	24	7	presenting	present	VERB
ejpam-1834	24	8	an	an	DET
ejpam-1834	24	9	explicit	explicit	ADJ
ejpam-1834	24	10	construction	construction	NOUN
ejpam-1834	24	11	of	of	ADP
ejpam-1834	24	12	the	the	DET
ejpam-1834	24	13	local	local	ADJ
ejpam-1834	24	14	langlands	langland	NOUN
ejpam-1834	24	15	correspondence	correspondence	NOUN
ejpam-1834	24	16	between	between	ADP
ejpam-1834	24	17	so	so	ADV
ejpam-1834	24	18	-	-	PUNCT
ejpam-1834	24	19	called	call	VERB
ejpam-1834	24	20	cuspidal	cuspidal	NOUN
ejpam-1834	24	21	representations	representation	NOUN
ejpam-1834	24	22	of	of	ADP
ejpam-1834	24	23	gl2(f	gl2(f	PROPN
ejpam-1834	24	24	)	)	PUNCT
ejpam-1834	24	25	and	and	CCONJ
ejpam-1834	24	26	certain	certain	ADJ
ejpam-1834	24	27	2dimensional	2dimensional	ADJ
ejpam-1834	24	28	representations	representation	NOUN
ejpam-1834	24	29	of	of	ADP
ejpam-1834	24	30	wf	wf	PROPN
ejpam-1834	24	31	,	,	PUNCT
ejpam-1834	24	32	where	where	SCONJ
ejpam-1834	24	33	the	the	DET
ejpam-1834	24	34	residue	residue	NOUN
ejpam-1834	24	35	characteristic	characteristic	ADJ
ejpam-1834	24	36	char	char	NOUN
ejpam-1834	24	37	6=	6=	ADP
ejpam-1834	24	38	2	2	X
ejpam-1834	24	39	.	.	X
ejpam-1834	25	1	we	we	PRON
ejpam-1834	25	2	will	will	AUX
ejpam-1834	25	3	focus	focus	VERB
ejpam-1834	25	4	on	on	ADP
ejpam-1834	25	5	the	the	DET
ejpam-1834	25	6	classification	classification	NOUN
ejpam-1834	25	7	and	and	CCONJ
ejpam-1834	25	8	the	the	DET
ejpam-1834	25	9	construction	construction	NOUN
ejpam-1834	25	10	of	of	ADP
ejpam-1834	25	11	the	the	DET
ejpam-1834	25	12	cuspidal	cuspidal	NOUN
ejpam-1834	25	13	representations	representation	NOUN
ejpam-1834	25	14	for	for	ADP
ejpam-1834	25	15	gl2(f	gl2(f	PROPN
ejpam-1834	25	16	)	)	PUNCT
ejpam-1834	25	17	,	,	PUNCT
ejpam-1834	25	18	it	it	PRON
ejpam-1834	25	19	was	be	AUX
ejpam-1834	25	20	originally	originally	ADV
ejpam-1834	25	21	treated	treat	VERB
ejpam-1834	25	22	by	by	ADP
ejpam-1834	25	23	[	[	X
ejpam-1834	25	24	12	12	NUM
ejpam-1834	25	25	]	]	PUNCT
ejpam-1834	25	26	and	and	CCONJ
ejpam-1834	25	27	[	[	X
ejpam-1834	25	28	13	13	NUM
ejpam-1834	25	29	]	]	SYM
ejpam-1834	25	30	.	.	PUNCT
ejpam-1834	26	1	2	2	X
ejpam-1834	26	2	.	.	X
ejpam-1834	26	3	chamber	chamber	NOUN
ejpam-1834	26	4	homology	homology	NOUN
ejpam-1834	26	5	for	for	ADP
ejpam-1834	26	6	gl(2	gl(2	PROPN
ejpam-1834	26	7	)	)	PUNCT
ejpam-1834	26	8	consider	consider	VERB
ejpam-1834	26	9	the	the	DET
ejpam-1834	26	10	pair	pair	NOUN
ejpam-1834	26	11	(	(	PUNCT
ejpam-1834	26	12	l	l	NOUN
ejpam-1834	26	13	,	,	PUNCT
ejpam-1834	26	14	κ	κ	NOUN
ejpam-1834	26	15	)	)	PUNCT
ejpam-1834	26	16	where	where	SCONJ
ejpam-1834	26	17	l	l	NOUN
ejpam-1834	26	18	is	be	AUX
ejpam-1834	26	19	a	a	DET
ejpam-1834	26	20	levi	levi	PROPN
ejpam-1834	26	21	subgroup	subgroup	NOUN
ejpam-1834	26	22	of	of	ADP
ejpam-1834	26	23	a	a	DET
ejpam-1834	26	24	parabolic	parabolic	ADJ
ejpam-1834	26	25	subgroup	subgroup	NOUN
ejpam-1834	26	26	of	of	ADP
ejpam-1834	26	27	g	g	PROPN
ejpam-1834	26	28	,	,	PUNCT
ejpam-1834	26	29	and	and	CCONJ
ejpam-1834	26	30	κ	κ	NOUN
ejpam-1834	26	31	is	be	AUX
ejpam-1834	26	32	an	an	DET
ejpam-1834	26	33	irreducible	irreducible	ADJ
ejpam-1834	26	34	cuspidal	cuspidal	NOUN
ejpam-1834	26	35	representation	representation	NOUN
ejpam-1834	26	36	of	of	ADP
ejpam-1834	26	37	l.	l.	PROPN
ejpam-1834	26	38	two	two	NUM
ejpam-1834	26	39	pairs	pair	NOUN
ejpam-1834	26	40	(	(	PUNCT
ejpam-1834	26	41	l1,κ1	l1,κ1	PROPN
ejpam-1834	26	42	)	)	PUNCT
ejpam-1834	26	43	,	,	PUNCT
ejpam-1834	26	44	(	(	PUNCT
ejpam-1834	26	45	l2,κ2	l2,κ2	PROPN
ejpam-1834	26	46	)	)	PUNCT
ejpam-1834	26	47	are	be	AUX
ejpam-1834	26	48	called	call	VERB
ejpam-1834	26	49	inertially	inertially	ADV
ejpam-1834	26	50	equivalent	equivalent	ADJ
ejpam-1834	26	51	if	if	SCONJ
ejpam-1834	26	52	there	there	PRON
ejpam-1834	26	53	exist	exist	VERB
ejpam-1834	26	54	g	g	PROPN
ejpam-1834	26	55	∈	∈	PROPN
ejpam-1834	26	56	g	g	PROPN
ejpam-1834	26	57	and	and	CCONJ
ejpam-1834	26	58	an	an	DET
ejpam-1834	26	59	unramified	unramifie	VERB
ejpam-1834	26	60	character	character	NOUN
ejpam-1834	26	61	χ	χ	NOUN
ejpam-1834	26	62	of	of	ADP
ejpam-1834	26	63	l2	l2	NOUN
ejpam-1834	26	64	such	such	ADJ
ejpam-1834	26	65	that	that	DET
ejpam-1834	26	66	l2	l2	NOUN
ejpam-1834	26	67	=	=	PUNCT
ejpam-1834	26	68	lg	lg	NOUN
ejpam-1834	26	69	1	1	NUM
ejpam-1834	26	70	,	,	PUNCT
ejpam-1834	26	71	and	and	CCONJ
ejpam-1834	26	72	κg	κg	ADP
ejpam-1834	26	73	1	1	NUM
ejpam-1834	26	74	=	=	SYM
ejpam-1834	26	75	κ2⊗χ	κ2⊗χ	NOUN
ejpam-1834	26	76	,	,	PUNCT
ejpam-1834	26	77	where	where	SCONJ
ejpam-1834	26	78	lg	lg	NOUN
ejpam-1834	26	79	1	1	NUM
ejpam-1834	26	80	:	:	PUNCT
ejpam-1834	26	81	=	=	SYM
ejpam-1834	26	82	g−1	g−1	PROPN
ejpam-1834	26	83	l1	l1	PROPN
ejpam-1834	26	84	g	g	PROPN
ejpam-1834	26	85	and	and	CCONJ
ejpam-1834	26	86	κg	κg	ADP
ejpam-1834	26	87	1(x	1(x	NUM
ejpam-1834	26	88	)	)	PUNCT
ejpam-1834	27	1	=	=	PUNCT
ejpam-1834	28	1	κ1(g	κ1(g	NOUN
ejpam-1834	28	2	x	x	X
ejpam-1834	28	3	g−1	g−1	PROPN
ejpam-1834	28	4	)	)	PUNCT
ejpam-1834	28	5	for	for	ADP
ejpam-1834	28	6	all	all	PRON
ejpam-1834	28	7	x	x	SYM
ejpam-1834	28	8	∈	∈	PROPN
ejpam-1834	28	9	lg	lg	NOUN
ejpam-1834	28	10	1	1	NUM
ejpam-1834	28	11	.	.	PUNCT
ejpam-1834	29	1	let	let	VERB
ejpam-1834	29	2	[	[	X
ejpam-1834	29	3	l	l	NOUN
ejpam-1834	29	4	,	,	PUNCT
ejpam-1834	29	5	κ]g	κ]g	PROPN
ejpam-1834	29	6	be	be	AUX
ejpam-1834	29	7	the	the	DET
ejpam-1834	29	8	inertial	inertial	ADJ
ejpam-1834	29	9	equivalence	equivalence	NOUN
ejpam-1834	29	10	class	class	NOUN
ejpam-1834	29	11	of	of	ADP
ejpam-1834	29	12	the	the	DET
ejpam-1834	29	13	pair	pair	NOUN
ejpam-1834	29	14	(	(	PUNCT
ejpam-1834	29	15	l	l	NOUN
ejpam-1834	29	16	,	,	PUNCT
ejpam-1834	29	17	κ	κ	NOUN
ejpam-1834	29	18	)	)	PUNCT
ejpam-1834	29	19	and	and	CCONJ
ejpam-1834	29	20	let	let	VERB
ejpam-1834	29	21	b(g	b(g	PROPN
ejpam-1834	29	22	)	)	PUNCT
ejpam-1834	29	23	be	be	AUX
ejpam-1834	29	24	the	the	DET
ejpam-1834	29	25	set	set	NOUN
ejpam-1834	29	26	of	of	ADP
ejpam-1834	29	27	all	all	DET
ejpam-1834	29	28	inertial	inertial	ADJ
ejpam-1834	29	29	equivalence	equivalence	NOUN
ejpam-1834	29	30	classes	class	NOUN
ejpam-1834	29	31	.	.	PUNCT
ejpam-1834	30	1	this	this	DET
ejpam-1834	30	2	set	set	NOUN
ejpam-1834	30	3	is	be	AUX
ejpam-1834	30	4	called	call	VERB
ejpam-1834	30	5	the	the	DET
ejpam-1834	30	6	bernstein	bernstein	PROPN
ejpam-1834	30	7	spectrum	spectrum	PROPN
ejpam-1834	30	8	of	of	ADP
ejpam-1834	30	9	g.	g.	PROPN
ejpam-1834	30	10	definition	definition	NOUN
ejpam-1834	30	11	1	1	NUM
ejpam-1834	30	12	.	.	PUNCT
ejpam-1834	31	1	let	let	VERB
ejpam-1834	31	2	s	s	PRON
ejpam-1834	31	3	∈	∈	PROPN
ejpam-1834	31	4	b(g	b(g	PROPN
ejpam-1834	31	5	)	)	PUNCT
ejpam-1834	31	6	,	,	PUNCT
ejpam-1834	31	7	an	an	DET
ejpam-1834	31	8	s	s	NOUN
ejpam-1834	31	9	-	-	PUNCT
ejpam-1834	31	10	type	type	NOUN
ejpam-1834	31	11	is	be	AUX
ejpam-1834	31	12	a	a	DET
ejpam-1834	31	13	pair	pair	NOUN
ejpam-1834	31	14	(	(	PUNCT
ejpam-1834	31	15	j	j	PROPN
ejpam-1834	31	16	,	,	PUNCT
ejpam-1834	31	17	σ	σ	PROPN
ejpam-1834	31	18	)	)	PUNCT
ejpam-1834	31	19	consisting	consist	VERB
ejpam-1834	31	20	of	of	ADP
ejpam-1834	31	21	a	a	DET
ejpam-1834	31	22	compact	compact	ADJ
ejpam-1834	31	23	open	open	ADJ
ejpam-1834	31	24	subgroup	subgroup	PROPN
ejpam-1834	31	25	j	j	PROPN
ejpam-1834	31	26	of	of	ADP
ejpam-1834	31	27	g	g	PROPN
ejpam-1834	31	28	and	and	CCONJ
ejpam-1834	31	29	an	an	DET
ejpam-1834	31	30	irreducible	irreducible	ADJ
ejpam-1834	31	31	smooth	smooth	ADJ
ejpam-1834	31	32	representation	representation	NOUN
ejpam-1834	31	33	σ	σ	NOUN
ejpam-1834	31	34	of	of	ADP
ejpam-1834	31	35	j	j	PROPN
ejpam-1834	31	36	such	such	ADJ
ejpam-1834	31	37	that	that	PRON
ejpam-1834	31	38	for	for	ADP
ejpam-1834	31	39	any	any	DET
ejpam-1834	31	40	irreducible	irreducible	ADJ
ejpam-1834	31	41	smooth	smooth	ADJ
ejpam-1834	31	42	representation	representation	NOUN
ejpam-1834	31	43	π	π	PROPN
ejpam-1834	31	44	of	of	ADP
ejpam-1834	31	45	g	g	PROPN
ejpam-1834	31	46	,	,	PUNCT
ejpam-1834	31	47	the	the	DET
ejpam-1834	31	48	restriction	restriction	NOUN
ejpam-1834	31	49	of	of	ADP
ejpam-1834	31	50	π	π	PROPN
ejpam-1834	31	51	to	to	ADP
ejpam-1834	31	52	j	j	PROPN
ejpam-1834	31	53	contains	contain	VERB
ejpam-1834	31	54	σ	σ	PROPN
ejpam-1834	31	55	if	if	SCONJ
ejpam-1834	31	56	and	and	CCONJ
ejpam-1834	31	57	only	only	ADV
ejpam-1834	31	58	if	if	SCONJ
ejpam-1834	31	59	π	π	PROPN
ejpam-1834	31	60	is	be	AUX
ejpam-1834	31	61	an	an	DET
ejpam-1834	31	62	object	object	NOUN
ejpam-1834	31	63	of	of	ADP
ejpam-1834	31	64	rs(g	rs(g	NOUN
ejpam-1834	31	65	)	)	PUNCT
ejpam-1834	31	66	,	,	PUNCT
ejpam-1834	32	1	[	[	X
ejpam-1834	32	2	8	8	NUM
ejpam-1834	32	3	]	]	PUNCT
ejpam-1834	32	4	.	.	PUNCT
ejpam-1834	33	1	it	it	PRON
ejpam-1834	33	2	has	have	AUX
ejpam-1834	33	3	been	be	AUX
ejpam-1834	33	4	proved	prove	VERB
ejpam-1834	33	5	by	by	ADP
ejpam-1834	33	6	[	[	X
ejpam-1834	33	7	6	6	NUM
ejpam-1834	33	8	]	]	PUNCT
ejpam-1834	33	9	and	and	CCONJ
ejpam-1834	34	1	[	[	X
ejpam-1834	34	2	9	9	NUM
ejpam-1834	34	3	]	]	PUNCT
ejpam-1834	34	4	that	that	SCONJ
ejpam-1834	34	5	there	there	PRON
ejpam-1834	34	6	exists	exist	VERB
ejpam-1834	34	7	an	an	DET
ejpam-1834	34	8	s	s	NOUN
ejpam-1834	34	9	-	-	NOUN
ejpam-1834	34	10	types	type	NOUN
ejpam-1834	34	11	for	for	ADP
ejpam-1834	34	12	each	each	DET
ejpam-1834	34	13	point	point	NOUN
ejpam-1834	34	14	s	s	VERB
ejpam-1834	34	15	∈b(g	∈b(g	PROPN
ejpam-1834	34	16	)	)	PUNCT
ejpam-1834	34	17	.	.	PUNCT
ejpam-1834	35	1	now	now	ADV
ejpam-1834	35	2	,	,	PUNCT
ejpam-1834	35	3	let	let	VERB
ejpam-1834	35	4	of	of	ADP
ejpam-1834	35	5	denote	denote	VERB
ejpam-1834	35	6	the	the	DET
ejpam-1834	35	7	ring	ring	NOUN
ejpam-1834	35	8	of	of	ADP
ejpam-1834	35	9	integers	integer	NOUN
ejpam-1834	35	10	of	of	ADP
ejpam-1834	35	11	f	f	PROPN
ejpam-1834	35	12	,	,	PUNCT
ejpam-1834	35	13	$	$	SYM
ejpam-1834	35	14	∈	∈	NOUN
ejpam-1834	35	15	f	f	NOUN
ejpam-1834	35	16	be	be	AUX
ejpam-1834	35	17	a	a	DET
ejpam-1834	35	18	uniformizer	uniformizer	NOUN
ejpam-1834	35	19	,	,	PUNCT
ejpam-1834	35	20	and	and	CCONJ
ejpam-1834	35	21	p	p	NOUN
ejpam-1834	35	22	be	be	AUX
ejpam-1834	35	23	the	the	DET
ejpam-1834	35	24	maximal	maximal	ADJ
ejpam-1834	35	25	ideal	ideal	NOUN
ejpam-1834	35	26	of	of	ADP
ejpam-1834	35	27	of	of	ADP
ejpam-1834	35	28	.	.	PUNCT
ejpam-1834	36	1	also	also	ADV
ejpam-1834	36	2	,	,	PUNCT
ejpam-1834	36	3	let	let	VERB
ejpam-1834	36	4	π	π	NOUN
ejpam-1834	36	5	=	=	PRON
ejpam-1834	36	6	πn	πn	X
ejpam-1834	36	7	=	=	SYM
ejpam-1834	36	8	�	�	PROPN
ejpam-1834	36	9	0	0	NUM
ejpam-1834	36	10	in−1	in−1	ADJ
ejpam-1834	36	11	$	$	SYM
ejpam-1834	36	12	f	f	PROPN
ejpam-1834	36	13	0	0	NUM
ejpam-1834	36	14	�	�	PROPN
ejpam-1834	36	15	,	,	PUNCT
ejpam-1834	36	16	and	and	CCONJ
ejpam-1834	36	17	si	si	X
ejpam-1834	36	18	=	=	PUNCT
ejpam-1834	36	19			PROPN
ejpam-1834	36	20			NOUN
ejpam-1834	36	21			NOUN
ejpam-1834	36	22			NOUN
ejpam-1834	36	23			NOUN
ejpam-1834	36	24	ii−1	ii−1	PROPN
ejpam-1834	36	25	0	0	NUM
ejpam-1834	36	26	1	1	NUM
ejpam-1834	36	27	1	1	NUM
ejpam-1834	36	28	0	0	NUM
ejpam-1834	36	29	in−i−1	in−i−1	PROPN
ejpam-1834	36	30			NOUN
ejpam-1834	36	31			NOUN
ejpam-1834	36	32			VERB
ejpam-1834	36	33			NOUN
ejpam-1834	36	34			X
ejpam-1834	36	35	,	,	PUNCT
ejpam-1834	36	36	for	for	ADP
ejpam-1834	36	37	every	every	DET
ejpam-1834	36	38	i	i	PROPN
ejpam-1834	36	39	∈	∈	PROPN
ejpam-1834	36	40	{	{	PUNCT
ejpam-1834	36	41	1	1	NUM
ejpam-1834	36	42	,	,	PUNCT
ejpam-1834	36	43	.	.	PUNCT
ejpam-1834	36	44	.	.	PUNCT
ejpam-1834	37	1	.	.	PUNCT
ejpam-1834	38	1	,	,	PUNCT
ejpam-1834	38	2	n	n	CCONJ
ejpam-1834	38	3	−	−	PROPN
ejpam-1834	38	4	1	1	NUM
ejpam-1834	38	5	}	}	PUNCT
ejpam-1834	38	6	,	,	PUNCT
ejpam-1834	38	7	and	and	CCONJ
ejpam-1834	38	8	s0	s0	PROPN
ejpam-1834	38	9	=	=	SYM
ejpam-1834	38	10	πs1π−1	πs1π−1	NOUN
ejpam-1834	38	11	denotes	denote	VERB
ejpam-1834	38	12	the	the	DET
ejpam-1834	38	13	standard	standard	ADJ
ejpam-1834	38	14	involutions	involution	NOUN
ejpam-1834	38	15	in	in	ADP
ejpam-1834	38	16	g.	g.	PROPN
ejpam-1834	38	17	the	the	DET
ejpam-1834	38	18	finite	finite	PROPN
ejpam-1834	38	19	weyl	weyl	PROPN
ejpam-1834	38	20	group	group	NOUN
ejpam-1834	38	21	is	be	AUX
ejpam-1834	38	22	w0	w0	PROPN
ejpam-1834	38	23	=	=	PROPN
ejpam-1834	38	24	〈	〈	PROPN
ejpam-1834	38	25	s1	s1	PROPN
ejpam-1834	38	26	,	,	PUNCT
ejpam-1834	38	27	s2	s2	NOUN
ejpam-1834	38	28	,	,	PUNCT
ejpam-1834	38	29	.	.	PUNCT
ejpam-1834	38	30	.	.	PUNCT
ejpam-1834	39	1	.	.	PUNCT
ejpam-1834	40	1	,	,	PUNCT
ejpam-1834	40	2	sn−1	sn−1	PROPN
ejpam-1834	40	3	〉	〉	NOUN
ejpam-1834	40	4	,	,	PUNCT
ejpam-1834	40	5	and	and	CCONJ
ejpam-1834	40	6	the	the	DET
ejpam-1834	40	7	affine	affine	NOUN
ejpam-1834	40	8	weyl	weyl	PROPN
ejpam-1834	40	9	group	group	NOUN
ejpam-1834	40	10	defined	define	VERB
ejpam-1834	40	11	as	as	SCONJ
ejpam-1834	40	12	follows	follow	VERB
ejpam-1834	40	13	w.	w.	PROPN
ejpam-1834	40	14	aeal	aeal	PROPN
ejpam-1834	40	15	/	/	SYM
ejpam-1834	40	16	eur	eur	PROPN
ejpam-1834	40	17	.	.	PUNCT
ejpam-1834	41	1	j.	j.	PROPN
ejpam-1834	41	2	pure	pure	PROPN
ejpam-1834	41	3	appl	appl	PROPN
ejpam-1834	41	4	.	.	PROPN
ejpam-1834	41	5	math	math	PROPN
ejpam-1834	41	6	,	,	PUNCT
ejpam-1834	41	7	6	6	NUM
ejpam-1834	41	8	(	(	PUNCT
ejpam-1834	41	9	2013	2013	NUM
ejpam-1834	41	10	)	)	PUNCT
ejpam-1834	41	11	,	,	PUNCT
ejpam-1834	41	12	282	282	NUM
ejpam-1834	41	13	-	-	SYM
ejpam-1834	41	14	298	298	NUM
ejpam-1834	41	15	284	284	NUM
ejpam-1834	41	16	w	w	NOUN
ejpam-1834	41	17	=	=	PUNCT
ejpam-1834	41	18	〈	〈	NOUN
ejpam-1834	41	19	s0	s0	PROPN
ejpam-1834	41	20	,	,	PUNCT
ejpam-1834	41	21	s1	s1	NOUN
ejpam-1834	41	22	,	,	PUNCT
ejpam-1834	41	23	.	.	PUNCT
ejpam-1834	41	24	.	.	PUNCT
ejpam-1834	42	1	.	.	PUNCT
ejpam-1834	43	1	,	,	PUNCT
ejpam-1834	43	2	sn−1	sn−1	PROPN
ejpam-1834	43	3	〉	〉	NOUN
ejpam-1834	43	4	.	.	PUNCT
ejpam-1834	44	1	the	the	DET
ejpam-1834	44	2	extended	extend	VERB
ejpam-1834	44	3	affine	affine	NOUN
ejpam-1834	44	4	weyl	weyl	VERB
ejpam-1834	44	5	group	group	NOUN
ejpam-1834	44	6	is	be	AUX
ejpam-1834	44	7	denoted	denote	VERB
ejpam-1834	44	8	by	by	ADP
ejpam-1834	44	9	w	w	NOUN
ejpam-1834	44	10	=	=	ADJ
ejpam-1834	44	11	wo	wo	NOUN
ejpam-1834	44	12	〈	〈	NOUN
ejpam-1834	44	13	π	π	X
ejpam-1834	44	14	〉	〉	NOUN
ejpam-1834	44	15	.	.	PUNCT
ejpam-1834	45	1	its	its	PRON
ejpam-1834	45	2	clear	clear	ADJ
ejpam-1834	45	3	thatw∩	thatw∩	NOUN
ejpam-1834	45	4	gl(n	gl(n	NUM
ejpam-1834	45	5	,	,	PUNCT
ejpam-1834	45	6	of	of	ADP
ejpam-1834	45	7	)	)	PUNCT
ejpam-1834	45	8	=	=	NOUN
ejpam-1834	45	9	w0	w0	PROPN
ejpam-1834	45	10	.	.	PUNCT
ejpam-1834	46	1	the	the	DET
ejpam-1834	46	2	standard	standard	ADJ
ejpam-1834	46	3	iwahori	iwahori	NOUN
ejpam-1834	46	4	subgroup	subgroup	NOUN
ejpam-1834	46	5	is	be	AUX
ejpam-1834	46	6	i	i	PRON
ejpam-1834	46	7	=	=	SYM
ejpam-1834	46	8			PROPN
ejpam-1834	46	9			NOUN
ejpam-1834	46	10			NOUN
ejpam-1834	46	11			NOUN
ejpam-1834	46	12			NOUN
ejpam-1834	46	13			NOUN
ejpam-1834	46	14			NOUN
ejpam-1834	46	15	o	o	X
ejpam-1834	46	16	×f	×f	NOUN
ejpam-1834	46	17	of	of	ADP
ejpam-1834	46	18	.	.	PUNCT
ejpam-1834	46	19	.	.	PUNCT
ejpam-1834	47	1	.	.	PUNCT
ejpam-1834	48	1	of	of	ADP
ejpam-1834	48	2	p	p	PROPN
ejpam-1834	48	3	f	f	PROPN
ejpam-1834	48	4	.	.	PUNCT
ejpam-1834	48	5	.	.	PUNCT
ejpam-1834	48	6	.	.	PUNCT
ejpam-1834	48	7	.	.	PUNCT
ejpam-1834	48	8	.	.	PUNCT
ejpam-1834	48	9	.	.	PUNCT
ejpam-1834	49	1	...	...	PUNCT
ejpam-1834	49	2	...	...	PUNCT
ejpam-1834	49	3	.	.	PUNCT
ejpam-1834	49	4	.	.	PUNCT
ejpam-1834	49	5	.	.	PUNCT
ejpam-1834	49	6	.	.	PUNCT
ejpam-1834	50	1	.	.	PUNCT
ejpam-1834	51	1	.	.	PUNCT
ejpam-1834	52	1	of	of	ADP
ejpam-1834	52	2	p	p	PROPN
ejpam-1834	52	3	f	f	PROPN
ejpam-1834	52	4	.	.	PUNCT
ejpam-1834	52	5	.	.	PUNCT
ejpam-1834	52	6	.	.	PUNCT
ejpam-1834	53	1	p	p	X
ejpam-1834	54	1	f	f	X
ejpam-1834	54	2	o	o	X
ejpam-1834	54	3	×f	×f	PROPN
ejpam-1834	54	4			PROPN
ejpam-1834	54	5			NOUN
ejpam-1834	54	6			VERB
ejpam-1834	54	7			NOUN
ejpam-1834	54	8			NOUN
ejpam-1834	54	9			NOUN
ejpam-1834	54	10			PUNCT
ejpam-1834	54	11	.	.	PUNCT
ejpam-1834	55	1	let	let	VERB
ejpam-1834	55	2	σ	σ	NOUN
ejpam-1834	55	3	be	be	AUX
ejpam-1834	55	4	the	the	DET
ejpam-1834	55	5	apartment	apartment	NOUN
ejpam-1834	55	6	attached	attach	VERB
ejpam-1834	55	7	to	to	ADP
ejpam-1834	55	8	the	the	DET
ejpam-1834	55	9	diagonal	diagonal	ADJ
ejpam-1834	55	10	torus	torus	NOUN
ejpam-1834	55	11	and	and	CCONJ
ejpam-1834	55	12	let∆	let∆	NUM
ejpam-1834	55	13	be	be	AUX
ejpam-1834	55	14	the	the	DET
ejpam-1834	55	15	unique	unique	ADJ
ejpam-1834	55	16	chamber	chamber	NOUN
ejpam-1834	55	17	in	in	ADP
ejpam-1834	55	18	this	this	DET
ejpam-1834	55	19	apartment	apartment	NOUN
ejpam-1834	55	20	which	which	PRON
ejpam-1834	55	21	is	be	AUX
ejpam-1834	55	22	stabilized	stabilize	VERB
ejpam-1834	55	23	by	by	ADP
ejpam-1834	55	24	〈	〈	NOUN
ejpam-1834	55	25	π〉i	π〉i	X
ejpam-1834	55	26	.	.	PUNCT
ejpam-1834	56	1	let	let	VERB
ejpam-1834	56	2	ji	ji	PROPN
ejpam-1834	56	3	be	be	AUX
ejpam-1834	56	4	the	the	DET
ejpam-1834	56	5	maximal	maximal	ADJ
ejpam-1834	56	6	standard	standard	ADJ
ejpam-1834	56	7	parahoric	parahoric	NOUN
ejpam-1834	56	8	subgroups	subgroup	NOUN
ejpam-1834	56	9	of	of	ADP
ejpam-1834	56	10	g	g	NOUN
ejpam-1834	56	11	,	,	PUNCT
ejpam-1834	56	12	ji	ji	PROPN
ejpam-1834	56	13	=	=	SYM
ejpam-1834	56	14	i〈s0	i〈s0	PROPN
ejpam-1834	56	15	,	,	PUNCT
ejpam-1834	56	16	s1	s1	NOUN
ejpam-1834	56	17	,	,	PUNCT
ejpam-1834	56	18	.	.	PUNCT
ejpam-1834	56	19	.	.	PUNCT
ejpam-1834	56	20	.	.	PUNCT
ejpam-1834	57	1	si−1	si−1	PROPN
ejpam-1834	57	2	,	,	PUNCT
ejpam-1834	57	3	si+1	si+1	PROPN
ejpam-1834	57	4	,	,	PUNCT
ejpam-1834	57	5	.	.	PUNCT
ejpam-1834	57	6	.	.	PUNCT
ejpam-1834	57	7	.	.	PUNCT
ejpam-1834	58	1	,	,	PUNCT
ejpam-1834	58	2	sn−1〉i	sn−1〉i	VERB
ejpam-1834	58	3	where	where	SCONJ
ejpam-1834	58	4	j0	j0	PROPN
ejpam-1834	58	5	=	=	SYM
ejpam-1834	58	6	gl(n	gl(n	X
ejpam-1834	58	7	,	,	PUNCT
ejpam-1834	58	8	of	of	ADP
ejpam-1834	58	9	)	)	PUNCT
ejpam-1834	58	10	.	.	PUNCT
ejpam-1834	59	1	we	we	PRON
ejpam-1834	59	2	see	see	VERB
ejpam-1834	59	3	that	that	SCONJ
ejpam-1834	59	4	ji	ji	PROPN
ejpam-1834	59	5	are	be	AUX
ejpam-1834	59	6	the	the	DET
ejpam-1834	59	7	stabilizers	stabilizer	NOUN
ejpam-1834	59	8	of	of	ADP
ejpam-1834	59	9	the	the	DET
ejpam-1834	59	10	vertices	vertex	NOUN
ejpam-1834	59	11	,	,	PUNCT
ejpam-1834	59	12	the	the	DET
ejpam-1834	59	13	stabilizer	stabilizer	NOUN
ejpam-1834	59	14	of	of	ADP
ejpam-1834	59	15	the	the	DET
ejpam-1834	59	16	facets	facet	NOUN
ejpam-1834	59	17	of	of	ADP
ejpam-1834	59	18	dimension	dimension	NOUN
ejpam-1834	59	19	n−	n−	NOUN
ejpam-1834	59	20	1	1	NUM
ejpam-1834	59	21	of	of	ADP
ejpam-1834	59	22	∆	∆	PROPN
ejpam-1834	59	23	are	be	AUX
ejpam-1834	59	24	k0	k0	PROPN
ejpam-1834	59	25	,	,	PUNCT
ejpam-1834	59	26	k1	k1	NOUN
ejpam-1834	59	27	,	,	PUNCT
ejpam-1834	59	28	.	.	PUNCT
ejpam-1834	59	29	.	.	PUNCT
ejpam-1834	60	1	.	.	PUNCT
ejpam-1834	61	1	,	,	PUNCT
ejpam-1834	61	2	kn−1	kn−1	PROPN
ejpam-1834	61	3	,	,	PUNCT
ejpam-1834	61	4	where	where	SCONJ
ejpam-1834	61	5	ki	ki	PROPN
ejpam-1834	61	6	=	=	PUNCT
ejpam-1834	61	7	i〈si〉i	i〈si〉i	PROPN
ejpam-1834	61	8	.	.	PUNCT
ejpam-1834	62	1	the	the	DET
ejpam-1834	62	2	enlarged	enlarge	VERB
ejpam-1834	62	3	building	building	NOUN
ejpam-1834	62	4	β1	β1	PROPN
ejpam-1834	62	5	g	g	PROPN
ejpam-1834	62	6	is	be	AUX
ejpam-1834	62	7	labelled	label	VERB
ejpam-1834	62	8	,	,	PUNCT
ejpam-1834	62	9	this	this	PRON
ejpam-1834	62	10	means	mean	VERB
ejpam-1834	62	11	there	there	PRON
ejpam-1834	62	12	exists	exist	VERB
ejpam-1834	62	13	a	a	DET
ejpam-1834	62	14	simplicial	simplicial	ADJ
ejpam-1834	62	15	map	map	NOUN
ejpam-1834	62	16	ℑ	ℑ	NOUN
ejpam-1834	62	17	:	:	PUNCT
ejpam-1834	62	18	β1g→∆	β1g→∆	NUM
ejpam-1834	62	19	,	,	PUNCT
ejpam-1834	62	20	this	this	DET
ejpam-1834	62	21	map	map	NOUN
ejpam-1834	62	22	is	be	AUX
ejpam-1834	62	23	dimensions	dimension	NOUN
ejpam-1834	62	24	preserver	preserver	NOUN
ejpam-1834	62	25	.	.	PUNCT
ejpam-1834	63	1	this	this	DET
ejpam-1834	63	2	labelling	labelling	NOUN
ejpam-1834	63	3	is	be	AUX
ejpam-1834	63	4	unique	unique	ADJ
ejpam-1834	63	5	and	and	CCONJ
ejpam-1834	63	6	it	it	PRON
ejpam-1834	63	7	allows	allow	VERB
ejpam-1834	63	8	us	we	PRON
ejpam-1834	63	9	to	to	PART
ejpam-1834	63	10	fix	fix	VERB
ejpam-1834	63	11	an	an	DET
ejpam-1834	63	12	orientation	orientation	NOUN
ejpam-1834	63	13	of	of	ADP
ejpam-1834	63	14	the	the	DET
ejpam-1834	63	15	simplices	simplice	NOUN
ejpam-1834	63	16	.	.	PUNCT
ejpam-1834	64	1	the	the	DET
ejpam-1834	64	2	chamber	chamber	NOUN
ejpam-1834	64	3	homology	homology	NOUN
ejpam-1834	64	4	groups	group	NOUN
ejpam-1834	64	5	are	be	AUX
ejpam-1834	64	6	obtained	obtain	VERB
ejpam-1834	64	7	by	by	ADP
ejpam-1834	64	8	totalizing	totalize	VERB
ejpam-1834	64	9	the	the	DET
ejpam-1834	64	10	bicomplex	bicomplex	NOUN
ejpam-1834	64	11	:	:	PUNCT
ejpam-1834	64	12	0	0	NUM
ejpam-1834	64	13	r(j0)⊕r(j1)⊕	r(j0)⊕r(j1)⊕	NOUN
ejpam-1834	64	14	.	.	PUNCT
ejpam-1834	64	15	.	.	PUNCT
ejpam-1834	65	1	.⊕r(jn−1)oo	.⊕r(jn−1)oo	PROPN
ejpam-1834	65	2	�	�	PROPN
ejpam-1834	65	3	�	�	PROPN
ejpam-1834	65	4	·	·	PUNCT
ejpam-1834	65	5	·	·	PUNCT
ejpam-1834	65	6	·	·	PUNCT
ejpam-1834	65	7	oo	oo	INTJ
ejpam-1834	65	8	�	�	PROPN
ejpam-1834	65	9	�	�	PROPN
ejpam-1834	65	10	r(k0)⊕r(k1)⊕	r(k0)⊕r(k1)⊕	PROPN
ejpam-1834	65	11	.	.	PUNCT
ejpam-1834	65	12	.	.	PUNCT
ejpam-1834	66	1	.⊕r(kn−1)oo	.⊕r(kn−1)oo	PROPN
ejpam-1834	66	2	�	�	PROPN
ejpam-1834	66	3	�	�	PROPN
ejpam-1834	66	4	r(i)oo	r(i)oo	PART
ejpam-1834	66	5	�	�	PROPN
ejpam-1834	66	6	�	�	PROPN
ejpam-1834	66	7	0	0	NUM
ejpam-1834	66	8	r(j0)⊕r(j1)⊕	r(j0)⊕r(j1)⊕	NOUN
ejpam-1834	66	9	.	.	PUNCT
ejpam-1834	66	10	.	.	PUNCT
ejpam-1834	67	1	.⊕r(jn−1)oo	.⊕r(jn−1)oo	PROPN
ejpam-1834	67	2	·	·	PUNCT
ejpam-1834	67	3	·	·	PUNCT
ejpam-1834	67	4	·	·	PUNCT
ejpam-1834	67	5	oo	oo	INTJ
ejpam-1834	67	6	r(k0)⊕r(k1)⊕	r(k0)⊕r(k1)⊕	NOUN
ejpam-1834	67	7	.	.	PUNCT
ejpam-1834	67	8	.	.	PUNCT
ejpam-1834	68	1	.⊕r(kn−1)oo	.⊕r(kn−1)oo	PROPN
ejpam-1834	68	2	r(i)oo	r(i)oo	VERB
ejpam-1834	68	3	the	the	DET
ejpam-1834	68	4	vertical	vertical	ADJ
ejpam-1834	68	5	maps	map	NOUN
ejpam-1834	68	6	are	be	AUX
ejpam-1834	68	7	given	give	VERB
ejpam-1834	68	8	by	by	ADP
ejpam-1834	68	9	1−iπ	1−iπ	PROPN
ejpam-1834	68	10	.	.	PUNCT
ejpam-1834	69	1	we	we	PRON
ejpam-1834	69	2	assume	assume	VERB
ejpam-1834	69	3	that	that	SCONJ
ejpam-1834	69	4	c	c	PROPN
ejpam-1834	69	5	=	=	NOUN
ejpam-1834	69	6	r(j0)⊕r(j1)⊕	r(j0)⊕r(j1)⊕	NOUN
ejpam-1834	69	7	.	.	PUNCT
ejpam-1834	69	8	.	.	PUNCT
ejpam-1834	70	1	.⊕r(jn−1	.⊕r(jn−1	PUNCT
ejpam-1834	70	2	)	)	PUNCT
ejpam-1834	70	3	,	,	PUNCT
ejpam-1834	71	1	c	c	NOUN
ejpam-1834	71	2	′	′	NUM
ejpam-1834	72	1	=	=	NOUN
ejpam-1834	72	2	r(k0)⊕r(k1)⊕	r(k0)⊕r(k1)⊕	NOUN
ejpam-1834	72	3	.	.	PUNCT
ejpam-1834	72	4	.	.	PUNCT
ejpam-1834	73	1	.⊕r(kn−1	.⊕r(kn−1	PUNCT
ejpam-1834	73	2	)	)	PUNCT
ejpam-1834	74	1	and	and	CCONJ
ejpam-1834	74	2	c	c	X
ejpam-1834	74	3	′′	′′	PROPN
ejpam-1834	74	4	=	=	PRON
ejpam-1834	74	5	r(i	r(i	NOUN
ejpam-1834	74	6	)	)	PUNCT
ejpam-1834	74	7	.	.	PUNCT
ejpam-1834	75	1	by	by	ADP
ejpam-1834	75	2	totalizing	totalize	VERB
ejpam-1834	75	3	the	the	DET
ejpam-1834	75	4	above	above	ADJ
ejpam-1834	75	5	bicomplex	bicomplex	NOUN
ejpam-1834	75	6	,	,	PUNCT
ejpam-1834	75	7	we	we	PRON
ejpam-1834	75	8	obtain	obtain	VERB
ejpam-1834	75	9	this	this	DET
ejpam-1834	75	10	chain	chain	NOUN
ejpam-1834	75	11	complex	complex	NOUN
ejpam-1834	75	12	0	0	NUM
ejpam-1834	75	13	coo	coo	NOUN
ejpam-1834	75	14	·	·	PUNCT
ejpam-1834	75	15	·	·	PUNCT
ejpam-1834	75	16	·	·	PUNCT
ejpam-1834	76	1	oo	oo	INTJ
ejpam-1834	76	2	c	c	NOUN
ejpam-1834	76	3	′	′	NUM
ejpam-1834	76	4	i−1⊕c	i−1⊕c	PRON
ejpam-1834	77	1	′	′	NUM
ejpam-1834	78	1	i	i	PRON
ejpam-1834	78	2	oo	oo	VERB
ejpam-1834	78	3	c	c	NOUN
ejpam-1834	79	1	′	′	INTJ
ejpam-1834	80	1	i	i	PRON
ejpam-1834	80	2	⊕c	⊕c	ADV
ejpam-1834	81	1	′	′	NUM
ejpam-1834	81	2	i+1	i+1	ADV
ejpam-1834	81	3	oo	oo	INTJ
ejpam-1834	81	4	·	·	PUNCT
ejpam-1834	81	5	·	·	PUNCT
ejpam-1834	81	6	·	·	PUNCT
ejpam-1834	81	7	oo	oo	INTJ
ejpam-1834	81	8	c	c	X
ejpam-1834	81	9	′′	′′	PROPN
ejpam-1834	81	10	oo	oo	ADV
ejpam-1834	81	11	0oo	0oo	ADV
ejpam-1834	81	12	.	.	PUNCT
ejpam-1834	82	1	definition	definition	NOUN
ejpam-1834	82	2	2	2	NUM
ejpam-1834	82	3	(	(	PUNCT
ejpam-1834	82	4	[	[	X
ejpam-1834	82	5	3	3	NUM
ejpam-1834	82	6	]	]	NUM
ejpam-1834	82	7	)	)	PUNCT
ejpam-1834	82	8	.	.	PUNCT
ejpam-1834	83	1	the	the	DET
ejpam-1834	83	2	homology	homology	NOUN
ejpam-1834	83	3	groups	group	NOUN
ejpam-1834	83	4	of	of	ADP
ejpam-1834	83	5	this	this	DET
ejpam-1834	83	6	totalized	totalize	VERB
ejpam-1834	83	7	complex	complex	NOUN
ejpam-1834	83	8	are	be	AUX
ejpam-1834	83	9	the	the	DET
ejpam-1834	83	10	chamber	chamber	NOUN
ejpam-1834	83	11	homology	homology	NOUN
ejpam-1834	83	12	groups	group	NOUN
ejpam-1834	83	13	.	.	PUNCT
ejpam-1834	84	1	now	now	ADV
ejpam-1834	84	2	,	,	PUNCT
ejpam-1834	84	3	for	for	ADP
ejpam-1834	84	4	each	each	DET
ejpam-1834	84	5	point	point	NOUN
ejpam-1834	84	6	s	s	VERB
ejpam-1834	84	7	∈b(g	∈b(g	PROPN
ejpam-1834	84	8	)	)	PUNCT
ejpam-1834	84	9	let	let	VERB
ejpam-1834	84	10	c	c	NOUN
ejpam-1834	84	11	(	(	PUNCT
ejpam-1834	84	12	s	s	X
ejpam-1834	84	13	)	)	PUNCT
ejpam-1834	85	1	=	=	VERB
ejpam-1834	85	2	r(j	r(j	X
ejpam-1834	85	3	0	0	PUNCT
ejpam-1834	85	4	(	(	PUNCT
ejpam-1834	85	5	s))⊕r(j	s))⊕r(j	NOUN
ejpam-1834	85	6	1	1	NUM
ejpam-1834	85	7	(	(	PUNCT
ejpam-1834	85	8	s))⊕	s))⊕	PROPN
ejpam-1834	85	9	.	.	PUNCT
ejpam-1834	85	10	.	.	PUNCT
ejpam-1834	86	1	.⊕r(j	.⊕r(j	PROPN
ejpam-1834	87	1	n−1	n−1	PROPN
ejpam-1834	87	2	(	(	PUNCT
ejpam-1834	87	3	s	s	NOUN
ejpam-1834	87	4	)	)	PUNCT
ejpam-1834	87	5	)	)	PUNCT
ejpam-1834	87	6	,	,	PUNCT
ejpam-1834	87	7	c	c	NOUN
ejpam-1834	87	8	′	′	NUM
ejpam-1834	87	9	(	(	PUNCT
ejpam-1834	87	10	s	s	X
ejpam-1834	87	11	)	)	PUNCT
ejpam-1834	87	12	=	=	SYM
ejpam-1834	87	13	r(k	r(k	PROPN
ejpam-1834	87	14	0	0	NUM
ejpam-1834	88	1	(	(	PUNCT
ejpam-1834	88	2	s))⊕r(k	s))⊕r(k	ADJ
ejpam-1834	88	3	1	1	NUM
ejpam-1834	88	4	(	(	PUNCT
ejpam-1834	88	5	s))⊕	s))⊕	PROPN
ejpam-1834	88	6	.	.	PUNCT
ejpam-1834	88	7	.	.	PUNCT
ejpam-1834	89	1	.⊕r(k	.⊕r(k	PROPN
ejpam-1834	89	2	n−1	n−1	PROPN
ejpam-1834	89	3	(	(	PUNCT
ejpam-1834	89	4	s	s	NOUN
ejpam-1834	89	5	)	)	PUNCT
ejpam-1834	89	6	)	)	PUNCT
ejpam-1834	89	7	,	,	PUNCT
ejpam-1834	89	8	and	and	CCONJ
ejpam-1834	89	9	c	c	X
ejpam-1834	89	10	′′	′′	PROPN
ejpam-1834	89	11	(	(	PUNCT
ejpam-1834	89	12	s	s	X
ejpam-1834	89	13	)	)	PUNCT
ejpam-1834	89	14	=	=	NOUN
ejpam-1834	89	15	r(i(s	r(i(s	NOUN
ejpam-1834	89	16	)	)	PUNCT
ejpam-1834	89	17	)	)	PUNCT
ejpam-1834	89	18	.	.	PUNCT
ejpam-1834	90	1	w.	w.	PROPN
ejpam-1834	90	2	aeal	aeal	PROPN
ejpam-1834	90	3	/	/	SYM
ejpam-1834	90	4	eur	eur	PROPN
ejpam-1834	90	5	.	.	PUNCT
ejpam-1834	91	1	j.	j.	PROPN
ejpam-1834	91	2	pure	pure	PROPN
ejpam-1834	91	3	appl	appl	PROPN
ejpam-1834	91	4	.	.	PROPN
ejpam-1834	91	5	math	math	PROPN
ejpam-1834	91	6	,	,	PUNCT
ejpam-1834	91	7	6	6	NUM
ejpam-1834	91	8	(	(	PUNCT
ejpam-1834	91	9	2013	2013	NUM
ejpam-1834	91	10	)	)	PUNCT
ejpam-1834	91	11	,	,	PUNCT
ejpam-1834	91	12	282	282	NUM
ejpam-1834	91	13	-	-	SYM
ejpam-1834	91	14	298	298	NUM
ejpam-1834	91	15	285	285	NUM
ejpam-1834	91	16	we	we	PRON
ejpam-1834	91	17	associate	associate	VERB
ejpam-1834	91	18	a	a	DET
ejpam-1834	91	19	sub	sub	NOUN
ejpam-1834	91	20	-	-	NOUN
ejpam-1834	91	21	bicomplex	bicomplex	ADJ
ejpam-1834	91	22	0	0	NUM
ejpam-1834	91	23	c	c	NOUN
ejpam-1834	91	24	(	(	PUNCT
ejpam-1834	91	25	s)oo	s)oo	PROPN
ejpam-1834	91	26	�	�	PROPN
ejpam-1834	91	27	�	�	PROPN
ejpam-1834	91	28	·	·	PUNCT
ejpam-1834	91	29	·	·	PUNCT
ejpam-1834	91	30	·	·	PUNCT
ejpam-1834	91	31	oo	oo	INTJ
ejpam-1834	91	32	�	�	PROPN
ejpam-1834	91	33	�	�	PROPN
ejpam-1834	91	34	c	c	NOUN
ejpam-1834	91	35	′	′	NUM
ejpam-1834	92	1	(	(	PUNCT
ejpam-1834	92	2	s)oo	s)oo	PROPN
ejpam-1834	92	3	�	�	PROPN
ejpam-1834	92	4	�	�	PROPN
ejpam-1834	92	5	c	c	NOUN
ejpam-1834	92	6	′′	′′	PROPN
ejpam-1834	92	7	(	(	PUNCT
ejpam-1834	92	8	s)oo	s)oo	PROPN
ejpam-1834	92	9	�	�	PROPN
ejpam-1834	92	10	�	�	PROPN
ejpam-1834	92	11	0	0	NUM
ejpam-1834	92	12	c	c	NOUN
ejpam-1834	92	13	(	(	PUNCT
ejpam-1834	92	14	s)oo	s)oo	PROPN
ejpam-1834	92	15	·	·	PUNCT
ejpam-1834	92	16	·	·	PUNCT
ejpam-1834	92	17	·	·	PUNCT
ejpam-1834	93	1	oo	oo	INTJ
ejpam-1834	93	2	c	c	NOUN
ejpam-1834	93	3	′	′	NUM
ejpam-1834	94	1	(	(	PUNCT
ejpam-1834	94	2	s)oo	s)oo	PROPN
ejpam-1834	94	3	c	c	NOUN
ejpam-1834	94	4	′′	′′	PROPN
ejpam-1834	94	5	(	(	PUNCT
ejpam-1834	94	6	s)oo	s)oo	PROPN
ejpam-1834	94	7	in	in	ADP
ejpam-1834	94	8	which	which	PRON
ejpam-1834	94	9	each	each	DET
ejpam-1834	94	10	vertical	vertical	ADJ
ejpam-1834	94	11	map	map	NOUN
ejpam-1834	94	12	is	be	AUX
ejpam-1834	94	13	0	0	NUM
ejpam-1834	94	14	.	.	PUNCT
ejpam-1834	95	1	the	the	DET
ejpam-1834	95	2	homology	homology	NOUN
ejpam-1834	95	3	groups	group	NOUN
ejpam-1834	95	4	of	of	ADP
ejpam-1834	95	5	the	the	DET
ejpam-1834	95	6	chain	chain	NOUN
ejpam-1834	95	7	complex	complex	NOUN
ejpam-1834	95	8	0	0	NUM
ejpam-1834	95	9	c	c	NOUN
ejpam-1834	95	10	(	(	PUNCT
ejpam-1834	95	11	s)oo	s)oo	PROPN
ejpam-1834	95	12	·	·	PUNCT
ejpam-1834	95	13	·	·	PUNCT
ejpam-1834	95	14	·	·	PUNCT
ejpam-1834	95	15	oo	oo	INTJ
ejpam-1834	95	16	c	c	X
ejpam-1834	95	17	′′	′′	PROPN
ejpam-1834	95	18	(	(	PUNCT
ejpam-1834	95	19	s)oo	s)oo	PROPN
ejpam-1834	95	20	0oo	0oo	NOUN
ejpam-1834	95	21	is	be	AUX
ejpam-1834	95	22	denoted	denote	VERB
ejpam-1834	95	23	by	by	ADP
ejpam-1834	95	24	h	h	PROPN
ejpam-1834	95	25	j(s	j(s	PROPN
ejpam-1834	95	26	)	)	PUNCT
ejpam-1834	95	27	,	,	PUNCT
ejpam-1834	95	28	we	we	PRON
ejpam-1834	95	29	call	call	VERB
ejpam-1834	95	30	this	this	DET
ejpam-1834	95	31	complex	complex	NOUN
ejpam-1834	95	32	the	the	DET
ejpam-1834	95	33	little	little	ADJ
ejpam-1834	95	34	complex	complex	NOUN
ejpam-1834	95	35	.	.	PUNCT
ejpam-1834	96	1	when	when	SCONJ
ejpam-1834	96	2	we	we	PRON
ejpam-1834	96	3	totalize	totalize	VERB
ejpam-1834	96	4	the	the	DET
ejpam-1834	96	5	associated	associated	ADJ
ejpam-1834	96	6	bicomplex	bicomplex	NOUN
ejpam-1834	96	7	,	,	PUNCT
ejpam-1834	96	8	we	we	PRON
ejpam-1834	96	9	get	get	VERB
ejpam-1834	96	10	the	the	DET
ejpam-1834	96	11	chain	chain	NOUN
ejpam-1834	96	12	complex	complex	NOUN
ejpam-1834	96	13	0	0	NUM
ejpam-1834	96	14	c	c	NOUN
ejpam-1834	96	15	(	(	PUNCT
ejpam-1834	96	16	s)oo	s)oo	PROPN
ejpam-1834	96	17	·	·	PUNCT
ejpam-1834	96	18	·	·	PUNCT
ejpam-1834	96	19	·	·	PUNCT
ejpam-1834	97	1	oo	oo	INTJ
ejpam-1834	97	2	c	c	NOUN
ejpam-1834	97	3	′	′	NOUN
ejpam-1834	98	1	i−1(s)⊕c	i−1(s)⊕c	ADP
ejpam-1834	99	1	′	′	NUM
ejpam-1834	100	1	i	i	PRON
ejpam-1834	100	2	(	(	PUNCT
ejpam-1834	100	3	s	s	X
ejpam-1834	100	4	)	)	PUNCT
ejpam-1834	100	5	oo	oo	INTJ
ejpam-1834	100	6	c	c	NOUN
ejpam-1834	100	7	′	′	NUM
ejpam-1834	101	1	i	i	NOUN
ejpam-1834	101	2	(	(	PUNCT
ejpam-1834	101	3	s)⊕c	s)⊕c	NOUN
ejpam-1834	101	4	′	′	NUM
ejpam-1834	101	5	i+1(s	i+1(	NOUN
ejpam-1834	101	6	)	)	PUNCT
ejpam-1834	101	7	oo	oo	INTJ
ejpam-1834	101	8	·	·	PUNCT
ejpam-1834	101	9	·	·	PUNCT
ejpam-1834	101	10	·	·	PUNCT
ejpam-1834	101	11	oo	oo	INTJ
ejpam-1834	101	12	c	c	X
ejpam-1834	101	13	′′	′′	PROPN
ejpam-1834	101	14	(	(	PUNCT
ejpam-1834	101	15	s)oo	s)oo	PROPN
ejpam-1834	101	16	0oo	0oo	NOUN
ejpam-1834	101	17	.	.	PUNCT
ejpam-1834	102	1	theorem	theorem	ADJ
ejpam-1834	102	2	1	1	NUM
ejpam-1834	102	3	(	(	PUNCT
ejpam-1834	102	4	[	[	X
ejpam-1834	102	5	1	1	NUM
ejpam-1834	102	6	]	]	NUM
ejpam-1834	102	7	)	)	PUNCT
ejpam-1834	102	8	.	.	PUNCT
ejpam-1834	103	1	the	the	DET
ejpam-1834	103	2	homology	homology	NOUN
ejpam-1834	103	3	groups	group	NOUN
ejpam-1834	103	4	h	h	PROPN
ejpam-1834	103	5	j(s	j(s	NOUN
ejpam-1834	103	6	)	)	PUNCT
ejpam-1834	103	7	of	of	ADP
ejpam-1834	103	8	this	this	DET
ejpam-1834	103	9	complex	complex	NOUN
ejpam-1834	103	10	are	be	AUX
ejpam-1834	103	11	given	give	VERB
ejpam-1834	103	12	by	by	ADP
ejpam-1834	103	13	h	h	PROPN
ejpam-1834	103	14	0	0	NUM
ejpam-1834	103	15	(	(	PUNCT
ejpam-1834	103	16	s	s	X
ejpam-1834	103	17	)	)	PUNCT
ejpam-1834	103	18	=	=	SYM
ejpam-1834	103	19	h	h	NOUN
ejpam-1834	103	20	0	0	PUNCT
ejpam-1834	103	21	(	(	PUNCT
ejpam-1834	103	22	s	s	NOUN
ejpam-1834	103	23	)	)	PUNCT
ejpam-1834	103	24	,	,	PUNCT
ejpam-1834	103	25	h	h	NOUN
ejpam-1834	103	26	n	n	CCONJ
ejpam-1834	103	27	(	(	PUNCT
ejpam-1834	103	28	s	s	X
ejpam-1834	103	29	)	)	PUNCT
ejpam-1834	104	1	=	=	SYM
ejpam-1834	104	2	h	h	NUM
ejpam-1834	104	3	n−1	n−1	PROPN
ejpam-1834	104	4	(	(	PUNCT
ejpam-1834	104	5	s	s	NOUN
ejpam-1834	104	6	)	)	PUNCT
ejpam-1834	104	7	h	h	NOUN
ejpam-1834	104	8	i+1	i+1	NOUN
ejpam-1834	105	1	(	(	PUNCT
ejpam-1834	105	2	s	s	X
ejpam-1834	105	3	)	)	PUNCT
ejpam-1834	105	4	=	=	SYM
ejpam-1834	106	1	h	h	NOUN
ejpam-1834	107	1	i	i	PRON
ejpam-1834	107	2	(	(	PUNCT
ejpam-1834	107	3	s)⊕	s)⊕	ADV
ejpam-1834	107	4	h	h	NOUN
ejpam-1834	107	5	i+1	i+1	NOUN
ejpam-1834	107	6	(	(	PUNCT
ejpam-1834	107	7	s	s	NOUN
ejpam-1834	107	8	)	)	PUNCT
ejpam-1834	107	9	,	,	PUNCT
ejpam-1834	107	10	0≤	0≤	PUNCT
ejpam-1834	108	1	i	i	PRON
ejpam-1834	108	2	≤	≤	ADJ
ejpam-1834	108	3	n−	n−	NOUN
ejpam-1834	108	4	2	2	NUM
ejpam-1834	108	5	h	h	NOUN
ejpam-1834	108	6	ev	ev	X
ejpam-1834	108	7	(	(	PUNCT
ejpam-1834	108	8	s	s	NOUN
ejpam-1834	108	9	)	)	PUNCT
ejpam-1834	108	10	=	=	SYM
ejpam-1834	108	11	h	h	NOUN
ejpam-1834	108	12	0	0	PUNCT
ejpam-1834	109	1	(	(	PUNCT
ejpam-1834	109	2	s)⊕	s)⊕	ADJ
ejpam-1834	109	3	h	h	NOUN
ejpam-1834	109	4	1	1	NUM
ejpam-1834	109	5	(	(	PUNCT
ejpam-1834	109	6	s)⊕	s)⊕	ADJ
ejpam-1834	109	7	.	.	PUNCT
ejpam-1834	109	8	.	.	PUNCT
ejpam-1834	110	1	.⊕	.⊕	PROPN
ejpam-1834	111	1	h	h	PROPN
ejpam-1834	112	1	n−1	n−1	PROPN
ejpam-1834	112	2	(	(	PUNCT
ejpam-1834	112	3	s	s	NOUN
ejpam-1834	112	4	)	)	PUNCT
ejpam-1834	112	5	=	=	SYM
ejpam-1834	112	6	h	h	PROPN
ejpam-1834	112	7	odd	odd	ADJ
ejpam-1834	112	8	(	(	PUNCT
ejpam-1834	112	9	s	s	X
ejpam-1834	112	10	)	)	PUNCT
ejpam-1834	112	11	the	the	DET
ejpam-1834	112	12	even	even	ADJ
ejpam-1834	112	13	(	(	PUNCT
ejpam-1834	112	14	resp	resp	NOUN
ejpam-1834	112	15	.	.	PUNCT
ejpam-1834	113	1	odd	odd	ADJ
ejpam-1834	113	2	)	)	PUNCT
ejpam-1834	113	3	chamber	chamber	NOUN
ejpam-1834	113	4	homology	homology	NOUN
ejpam-1834	113	5	is	be	AUX
ejpam-1834	113	6	precisely	precisely	ADV
ejpam-1834	113	7	the	the	DET
ejpam-1834	113	8	total	total	ADJ
ejpam-1834	113	9	homology	homology	NOUN
ejpam-1834	113	10	of	of	ADP
ejpam-1834	113	11	the	the	DET
ejpam-1834	113	12	little	little	ADJ
ejpam-1834	113	13	complex	complex	NOUN
ejpam-1834	113	14	.	.	PUNCT
ejpam-1834	114	1	now	now	ADV
ejpam-1834	114	2	if	if	SCONJ
ejpam-1834	114	3	we	we	PRON
ejpam-1834	114	4	back	back	VERB
ejpam-1834	114	5	to	to	ADP
ejpam-1834	114	6	our	our	PRON
ejpam-1834	114	7	case	case	NOUN
ejpam-1834	114	8	,	,	PUNCT
ejpam-1834	114	9	let	let	VERB
ejpam-1834	114	10	f	f	PRON
ejpam-1834	114	11	be	be	AUX
ejpam-1834	114	12	non	non	ADJ
ejpam-1834	114	13	-	-	ADJ
ejpam-1834	114	14	archimedean	archimedean	ADJ
ejpam-1834	114	15	p	p	NOUN
ejpam-1834	114	16	-	-	PUNCT
ejpam-1834	114	17	adic	adic	ADJ
ejpam-1834	114	18	local	local	ADJ
ejpam-1834	114	19	field	field	NOUN
ejpam-1834	114	20	,	,	PUNCT
ejpam-1834	114	21	g	g	PROPN
ejpam-1834	114	22	=	=	PROPN
ejpam-1834	114	23	gl(2	gl(2	PROPN
ejpam-1834	114	24	,	,	PUNCT
ejpam-1834	114	25	f	f	NOUN
ejpam-1834	114	26	)	)	PUNCT
ejpam-1834	114	27	and	and	CCONJ
ejpam-1834	114	28	β1gl(2	β1gl(2	NOUN
ejpam-1834	114	29	)	)	PUNCT
ejpam-1834	114	30	be	be	VERB
ejpam-1834	114	31	the	the	DET
ejpam-1834	114	32	enlarged	enlarge	VERB
ejpam-1834	114	33	building	building	NOUN
ejpam-1834	114	34	of	of	ADP
ejpam-1834	114	35	g.	g.	PROPN
ejpam-1834	114	36	the	the	DET
ejpam-1834	114	37	enlarged	enlarge	VERB
ejpam-1834	114	38	building	building	NOUN
ejpam-1834	114	39	of	of	ADP
ejpam-1834	114	40	g	g	PROPN
ejpam-1834	114	41	can	can	AUX
ejpam-1834	114	42	be	be	AUX
ejpam-1834	114	43	defined	define	VERB
ejpam-1834	114	44	as	as	ADP
ejpam-1834	114	45	β1	β1	PROPN
ejpam-1834	114	46	g	g	PROPN
ejpam-1834	114	47	=	=	PROPN
ejpam-1834	114	48	βsl(2)×r	βsl(2)×r	PROPN
ejpam-1834	114	49	with	with	ADP
ejpam-1834	114	50	an	an	DET
ejpam-1834	114	51	action	action	NOUN
ejpam-1834	114	52	gl(2)×	gl(2)×	NOUN
ejpam-1834	114	53	β1gl(2)−→	β1gl(2)−→	PROPN
ejpam-1834	114	54	β1gl(2	β1gl(2	PROPN
ejpam-1834	114	55	)	)	PUNCT
ejpam-1834	114	56	gl(2)×	gl(2)×	NOUN
ejpam-1834	114	57	βsl(2)×r−→	βsl(2)×r−→	X
ejpam-1834	114	58	β1gl(2	β1gl(2	X
ejpam-1834	114	59	)	)	PUNCT
ejpam-1834	115	1	(	(	PUNCT
ejpam-1834	115	2	x	x	X
ejpam-1834	115	3	,	,	PUNCT
ejpam-1834	115	4	y	y	PROPN
ejpam-1834	115	5	,	,	PUNCT
ejpam-1834	115	6	t	t	PROPN
ejpam-1834	115	7	)	)	PUNCT
ejpam-1834	115	8	7−→	7−→	NOUN
ejpam-1834	115	9	(	(	PUNCT
ejpam-1834	115	10	x	x	PROPN
ejpam-1834	115	11	y	y	PROPN
ejpam-1834	115	12	,	,	PUNCT
ejpam-1834	115	13	t	t	PROPN
ejpam-1834	115	14	+	+	CCONJ
ejpam-1834	115	15	valf	valf	NOUN
ejpam-1834	115	16	(	(	PUNCT
ejpam-1834	115	17	det	det	NOUN
ejpam-1834	115	18	x	x	PROPN
ejpam-1834	115	19	)	)	PUNCT
ejpam-1834	115	20	)	)	PUNCT
ejpam-1834	115	21	.	.	PUNCT
ejpam-1834	116	1	the	the	DET
ejpam-1834	116	2	enlarged	enlarge	VERB
ejpam-1834	116	3	building	building	PROPN
ejpam-1834	116	4	β1gl(2	β1gl(2	NOUN
ejpam-1834	116	5	)	)	PUNCT
ejpam-1834	116	6	has	have	VERB
ejpam-1834	116	7	the	the	DET
ejpam-1834	116	8	structure	structure	NOUN
ejpam-1834	116	9	of	of	ADP
ejpam-1834	116	10	polysimplicial	polysimplicial	ADJ
ejpam-1834	116	11	complex	complex	NOUN
ejpam-1834	116	12	,	,	PUNCT
ejpam-1834	116	13	but	but	CCONJ
ejpam-1834	116	14	we	we	PRON
ejpam-1834	116	15	have	have	AUX
ejpam-1834	116	16	β1	β1	VERB
ejpam-1834	116	17	g	g	PROPN
ejpam-1834	116	18	=	=	SYM
ejpam-1834	116	19	βsl(2)×r	βsl(2)×r	PROPN
ejpam-1834	116	20	.	.	PUNCT
ejpam-1834	117	1	the	the	DET
ejpam-1834	117	2	action	action	NOUN
ejpam-1834	117	3	of	of	ADP
ejpam-1834	117	4	sl(2	sl(2	PROPN
ejpam-1834	117	5	)	)	PUNCT
ejpam-1834	117	6	on	on	ADP
ejpam-1834	117	7	its	its	PRON
ejpam-1834	117	8	tree	tree	NOUN
ejpam-1834	117	9	could	could	AUX
ejpam-1834	117	10	be	be	AUX
ejpam-1834	117	11	extended	extend	VERB
ejpam-1834	117	12	to	to	ADP
ejpam-1834	117	13	an	an	DET
ejpam-1834	117	14	action	action	NOUN
ejpam-1834	117	15	of	of	ADP
ejpam-1834	117	16	gl(2	gl(2	PROPN
ejpam-1834	117	17	)	)	PUNCT
ejpam-1834	117	18	.	.	PUNCT
ejpam-1834	118	1	we	we	PRON
ejpam-1834	118	2	will	will	AUX
ejpam-1834	118	3	investigate	investigate	VERB
ejpam-1834	118	4	the	the	DET
ejpam-1834	118	5	chamber	chamber	NOUN
ejpam-1834	118	6	homology	homology	NOUN
ejpam-1834	118	7	h	h	PROPN
ejpam-1834	118	8	j(β1gl(2	j(β1gl(2	PROPN
ejpam-1834	118	9	)	)	PUNCT
ejpam-1834	118	10	)	)	PUNCT
ejpam-1834	118	11	of	of	ADP
ejpam-1834	118	12	g	g	PROPN
ejpam-1834	118	13	acting	act	VERB
ejpam-1834	118	14	on	on	ADP
ejpam-1834	118	15	its	its	PRON
ejpam-1834	118	16	enlarged	enlarge	VERB
ejpam-1834	118	17	building	building	NOUN
ejpam-1834	118	18	properly	properly	ADV
ejpam-1834	118	19	.	.	PUNCT
ejpam-1834	119	1	the	the	DET
ejpam-1834	119	2	quotient	quotient	NOUN
ejpam-1834	119	3	β1gl(2)/gl(2	β1gl(2)/gl(2	PUNCT
ejpam-1834	119	4	)	)	PUNCT
ejpam-1834	119	5	is	be	AUX
ejpam-1834	119	6	a	a	DET
ejpam-1834	119	7	mobius	mobius	ADJ
ejpam-1834	119	8	band	band	NOUN
ejpam-1834	119	9	(	(	PUNCT
ejpam-1834	119	10	an	an	DET
ejpam-1834	119	11	identification	identification	NOUN
ejpam-1834	119	12	space	space	NOUN
ejpam-1834	119	13	of	of	ADP
ejpam-1834	119	14	a	a	DET
ejpam-1834	119	15	chamber	chamber	NOUN
ejpam-1834	119	16	)	)	PUNCT
ejpam-1834	119	17	which	which	PRON
ejpam-1834	119	18	is	be	AUX
ejpam-1834	119	19	a	a	DET
ejpam-1834	119	20	compact	compact	ADJ
ejpam-1834	119	21	space	space	NOUN
ejpam-1834	119	22	.	.	PUNCT
ejpam-1834	120	1	let	let	VERB
ejpam-1834	120	2	π	π	NOUN
ejpam-1834	120	3	=	=	SYM
ejpam-1834	120	4	�	�	PROPN
ejpam-1834	120	5	0	0	NUM
ejpam-1834	120	6	1	1	NUM
ejpam-1834	120	7	$	$	SYM
ejpam-1834	120	8	f	f	PROPN
ejpam-1834	120	9	0	0	NUM
ejpam-1834	120	10	�	�	PROPN
ejpam-1834	120	11	,	,	PUNCT
ejpam-1834	120	12	s1	s1	PROPN
ejpam-1834	120	13	=	=	SYM
ejpam-1834	120	14	�	�	PROPN
ejpam-1834	120	15	0	0	NUM
ejpam-1834	120	16	1	1	NUM
ejpam-1834	120	17	1	1	NUM
ejpam-1834	120	18	0	0	NUM
ejpam-1834	120	19	�	�	PROPN
ejpam-1834	120	20	and	and	CCONJ
ejpam-1834	120	21	s0	s0	PROPN
ejpam-1834	120	22	=	=	SYM
ejpam-1834	120	23	�	�	PROPN
ejpam-1834	120	24	0	0	NUM
ejpam-1834	120	25	$	$	SYM
ejpam-1834	120	26	−1	−1	NOUN
ejpam-1834	120	27	f	f	NOUN
ejpam-1834	120	28	$	$	SYM
ejpam-1834	120	29	f	f	PROPN
ejpam-1834	120	30	0	0	NUM
ejpam-1834	120	31	�	�	PROPN
ejpam-1834	120	32	w.	w.	PROPN
ejpam-1834	120	33	aeal	aeal	PROPN
ejpam-1834	120	34	/	/	SYM
ejpam-1834	120	35	eur	eur	PROPN
ejpam-1834	120	36	.	.	PUNCT
ejpam-1834	121	1	j.	j.	PROPN
ejpam-1834	121	2	pure	pure	PROPN
ejpam-1834	121	3	appl	appl	PROPN
ejpam-1834	121	4	.	.	PROPN
ejpam-1834	121	5	math	math	PROPN
ejpam-1834	121	6	,	,	PUNCT
ejpam-1834	121	7	6	6	NUM
ejpam-1834	121	8	(	(	PUNCT
ejpam-1834	121	9	2013	2013	NUM
ejpam-1834	121	10	)	)	PUNCT
ejpam-1834	121	11	,	,	PUNCT
ejpam-1834	121	12	282	282	NUM
ejpam-1834	121	13	-	-	SYM
ejpam-1834	121	14	298	298	NUM
ejpam-1834	121	15	286	286	NUM
ejpam-1834	121	16	be	be	AUX
ejpam-1834	121	17	the	the	DET
ejpam-1834	121	18	standard	standard	ADJ
ejpam-1834	121	19	involutions	involution	NOUN
ejpam-1834	121	20	in	in	ADP
ejpam-1834	121	21	gl(2	gl(2	PROPN
ejpam-1834	121	22	)	)	PUNCT
ejpam-1834	121	23	.	.	PUNCT
ejpam-1834	122	1	restricted	restrict	VERB
ejpam-1834	122	2	to	to	ADP
ejpam-1834	122	3	the	the	DET
ejpam-1834	122	4	affine	affine	NOUN
ejpam-1834	122	5	line	line	NOUN
ejpam-1834	122	6	r	r	NOUN
ejpam-1834	122	7	in	in	ADP
ejpam-1834	122	8	the	the	DET
ejpam-1834	122	9	enlarged	enlarged	ADJ
ejpam-1834	122	10	building	building	PROPN
ejpam-1834	122	11	β1gl(2	β1gl(2	PROPN
ejpam-1834	122	12	)	)	PUNCT
ejpam-1834	122	13	=	=	SYM
ejpam-1834	122	14	βsl(2)×r	βsl(2)×r	PROPN
ejpam-1834	122	15	,	,	PUNCT
ejpam-1834	122	16	π	π	PROPN
ejpam-1834	122	17	sends	send	VERB
ejpam-1834	122	18	t	t	PROPN
ejpam-1834	122	19	to	to	ADP
ejpam-1834	122	20	t+1	t+1	PRON
ejpam-1834	122	21	.	.	PUNCT
ejpam-1834	123	1	it	it	PRON
ejpam-1834	123	2	is	be	AUX
ejpam-1834	123	3	a	a	DET
ejpam-1834	123	4	bit	bit	NOUN
ejpam-1834	123	5	hard	hard	ADJ
ejpam-1834	123	6	to	to	PART
ejpam-1834	123	7	calculate	calculate	VERB
ejpam-1834	123	8	the	the	DET
ejpam-1834	123	9	chamber	chamber	NOUN
ejpam-1834	123	10	homology	homology	NOUN
ejpam-1834	123	11	group	group	NOUN
ejpam-1834	123	12	for	for	ADP
ejpam-1834	123	13	gl(2	gl(2	PROPN
ejpam-1834	123	14	)	)	PUNCT
ejpam-1834	123	15	from	from	ADP
ejpam-1834	123	16	a	a	DET
ejpam-1834	123	17	mobius	mobius	NOUN
ejpam-1834	123	18	band	band	NOUN
ejpam-1834	123	19	but	but	CCONJ
ejpam-1834	123	20	its	its	PRON
ejpam-1834	123	21	not	not	PART
ejpam-1834	123	22	that	that	ADV
ejpam-1834	123	23	difficult	difficult	ADJ
ejpam-1834	123	24	to	to	PART
ejpam-1834	123	25	construct	construct	VERB
ejpam-1834	123	26	a	a	DET
ejpam-1834	123	27	complex	complex	NOUN
ejpam-1834	123	28	to	to	PART
ejpam-1834	123	29	compute	compute	VERB
ejpam-1834	123	30	the	the	DET
ejpam-1834	123	31	chamber	chamber	NOUN
ejpam-1834	123	32	homology	homology	NOUN
ejpam-1834	123	33	of	of	ADP
ejpam-1834	123	34	gl(2	gl(2	PROPN
ejpam-1834	123	35	)	)	PUNCT
ejpam-1834	123	36	if	if	SCONJ
ejpam-1834	123	37	we	we	PRON
ejpam-1834	123	38	restrict	restrict	VERB
ejpam-1834	123	39	to	to	ADP
ejpam-1834	123	40	the	the	DET
ejpam-1834	123	41	original	original	ADJ
ejpam-1834	123	42	quotient	quotient	NOUN
ejpam-1834	123	43	space	space	NOUN
ejpam-1834	123	44	before	before	ADP
ejpam-1834	123	45	taking	take	VERB
ejpam-1834	123	46	the	the	DET
ejpam-1834	123	47	real	real	ADJ
ejpam-1834	123	48	line	line	NOUN
ejpam-1834	123	49	copy	copy	NOUN
ejpam-1834	123	50	which	which	PRON
ejpam-1834	123	51	is	be	AUX
ejpam-1834	123	52	an	an	DET
ejpam-1834	123	53	edge	edge	NOUN
ejpam-1834	123	54	of	of	ADP
ejpam-1834	123	55	the	the	DET
ejpam-1834	123	56	tree	tree	NOUN
ejpam-1834	123	57	of	of	ADP
ejpam-1834	123	58	sl(2	sl(2	PROPN
ejpam-1834	123	59	)	)	PUNCT
ejpam-1834	123	60	.	.	PUNCT
ejpam-1834	124	1	let	let	VERB
ejpam-1834	124	2	i	i	PRON
ejpam-1834	124	3	,	,	PUNCT
ejpam-1834	124	4	j0	j0	PROPN
ejpam-1834	124	5	and	and	CCONJ
ejpam-1834	124	6	j1	j1	PROPN
ejpam-1834	124	7	are	be	AUX
ejpam-1834	124	8	the	the	DET
ejpam-1834	124	9	stabilizer	stabilizer	NOUN
ejpam-1834	124	10	groups	group	NOUN
ejpam-1834	124	11	of	of	ADP
ejpam-1834	124	12	the	the	DET
ejpam-1834	124	13	edge	edge	NOUN
ejpam-1834	124	14	and	and	CCONJ
ejpam-1834	124	15	the	the	DET
ejpam-1834	124	16	two	two	NUM
ejpam-1834	124	17	vertices	vertex	NOUN
ejpam-1834	124	18	in	in	ADP
ejpam-1834	124	19	the	the	DET
ejpam-1834	124	20	above	above	ADJ
ejpam-1834	124	21	chamber	chamber	NOUN
ejpam-1834	124	22	.	.	PUNCT
ejpam-1834	125	1	j	j	PROPN
ejpam-1834	125	2	0	0	NUM
ejpam-1834	125	3	◦	◦	NOUN
ejpam-1834	125	4	i	i	PRON
ejpam-1834	125	5	•	•	NOUN
ejpam-1834	125	6	j	j	PROPN
ejpam-1834	125	7	1	1	NUM
ejpam-1834	125	8	2.1	2.1	NUM
ejpam-1834	125	9	.	.	PUNCT
ejpam-1834	126	1	the	the	DET
ejpam-1834	126	2	trivial	trivial	ADJ
ejpam-1834	126	3	type	type	NOUN
ejpam-1834	126	4	(	(	PUNCT
ejpam-1834	126	5	i	i	NOUN
ejpam-1834	126	6	,	,	PUNCT
ejpam-1834	126	7	1i	1i	NUM
ejpam-1834	126	8	)	)	PUNCT
ejpam-1834	126	9	let	let	VERB
ejpam-1834	126	10	t	t	NOUN
ejpam-1834	126	11	=	=	SYM
ejpam-1834	126	12	�	�	PROPN
ejpam-1834	126	13	f×	f×	VERB
ejpam-1834	126	14	0	0	NUM
ejpam-1834	126	15	0	0	NUM
ejpam-1834	126	16	f×	f×	PROPN
ejpam-1834	126	17	�	�	PROPN
ejpam-1834	126	18	be	be	AUX
ejpam-1834	126	19	the	the	DET
ejpam-1834	126	20	diagonal	diagonal	ADJ
ejpam-1834	126	21	subgroup	subgroup	NOUN
ejpam-1834	126	22	of	of	ADP
ejpam-1834	126	23	g	g	PROPN
ejpam-1834	126	24	=	=	PROPN
ejpam-1834	126	25	gl(2	gl(2	PROPN
ejpam-1834	126	26	,	,	PUNCT
ejpam-1834	126	27	f	f	PROPN
ejpam-1834	126	28	)	)	PUNCT
ejpam-1834	126	29	and	and	CCONJ
ejpam-1834	126	30	let	let	VERB
ejpam-1834	126	31	1	1	NUM
ejpam-1834	126	32	be	be	AUX
ejpam-1834	126	33	the	the	DET
ejpam-1834	126	34	trivial	trivial	ADJ
ejpam-1834	126	35	representation	representation	NOUN
ejpam-1834	126	36	of	of	ADP
ejpam-1834	126	37	t	t	PROPN
ejpam-1834	126	38	.	.	PUNCT
ejpam-1834	127	1	then	then	ADV
ejpam-1834	127	2	the	the	DET
ejpam-1834	127	3	pair	pair	NOUN
ejpam-1834	127	4	(	(	PUNCT
ejpam-1834	127	5	t,1	t,1	NUM
ejpam-1834	127	6	)	)	PUNCT
ejpam-1834	127	7	is	be	AUX
ejpam-1834	127	8	a	a	DET
ejpam-1834	127	9	cuspidal	cuspidal	NOUN
ejpam-1834	127	10	pair	pair	NOUN
ejpam-1834	127	11	.	.	PUNCT
ejpam-1834	128	1	let	let	VERB
ejpam-1834	128	2	us	we	PRON
ejpam-1834	128	3	discuss	discuss	VERB
ejpam-1834	128	4	the	the	DET
ejpam-1834	128	5	special	special	ADJ
ejpam-1834	128	6	case	case	NOUN
ejpam-1834	128	7	when	when	SCONJ
ejpam-1834	128	8	s	s	VERB
ejpam-1834	128	9	=	=	PUNCT
ejpam-1834	128	10	[	[	X
ejpam-1834	128	11	t,1]g	t,1]g	NOUN
ejpam-1834	128	12	,	,	PUNCT
ejpam-1834	128	13	the	the	DET
ejpam-1834	128	14	s	s	NOUN
ejpam-1834	128	15	-	-	NOUN
ejpam-1834	128	16	type	type	NOUN
ejpam-1834	128	17	in	in	ADP
ejpam-1834	128	18	this	this	DET
ejpam-1834	128	19	case	case	NOUN
ejpam-1834	128	20	will	will	AUX
ejpam-1834	128	21	be	be	AUX
ejpam-1834	128	22	the	the	DET
ejpam-1834	128	23	trivial	trivial	ADJ
ejpam-1834	128	24	type	type	NOUN
ejpam-1834	128	25	(	(	PUNCT
ejpam-1834	128	26	i	i	NOUN
ejpam-1834	128	27	,	,	PUNCT
ejpam-1834	128	28	1	1	NUM
ejpam-1834	128	29	)	)	PUNCT
ejpam-1834	128	30	.	.	PUNCT
ejpam-1834	129	1	we	we	PRON
ejpam-1834	129	2	will	will	AUX
ejpam-1834	129	3	construct	construct	VERB
ejpam-1834	129	4	the	the	DET
ejpam-1834	129	5	little	little	ADJ
ejpam-1834	129	6	complex	complex	NOUN
ejpam-1834	129	7	created	create	VERB
ejpam-1834	129	8	by	by	ADP
ejpam-1834	129	9	(	(	PUNCT
ejpam-1834	129	10	i	i	PROPN
ejpam-1834	129	11	,	,	PUNCT
ejpam-1834	129	12	1i	1i	NUM
ejpam-1834	129	13	)	)	PUNCT
ejpam-1834	129	14	.	.	PUNCT
ejpam-1834	130	1	theorem	theorem	NOUN
ejpam-1834	130	2	2	2	NUM
ejpam-1834	130	3	.	.	PUNCT
ejpam-1834	131	1	let	let	VERB
ejpam-1834	131	2	i	i	PRON
ejpam-1834	131	3	be	be	AUX
ejpam-1834	131	4	the	the	DET
ejpam-1834	131	5	iwahori	iwahori	NOUN
ejpam-1834	131	6	subgroup	subgroup	NOUN
ejpam-1834	131	7	of	of	ADP
ejpam-1834	131	8	gl(2	gl(2	PROPN
ejpam-1834	131	9	)	)	PUNCT
ejpam-1834	131	10	,	,	PUNCT
ejpam-1834	131	11	and	and	CCONJ
ejpam-1834	131	12	let	let	VERB
ejpam-1834	131	13	st2	st2	NOUN
ejpam-1834	131	14	be	be	AUX
ejpam-1834	131	15	the	the	DET
ejpam-1834	131	16	steinberg	steinberg	PROPN
ejpam-1834	131	17	representation	representation	NOUN
ejpam-1834	131	18	of	of	ADP
ejpam-1834	131	19	gl(2	gl(2	PROPN
ejpam-1834	131	20	,	,	PUNCT
ejpam-1834	131	21	f	f	PROPN
ejpam-1834	131	22	)	)	PUNCT
ejpam-1834	131	23	,	,	PUNCT
ejpam-1834	131	24	and	and	CCONJ
ejpam-1834	131	25	let	let	VERB
ejpam-1834	131	26	χ1	χ1	NOUN
ejpam-1834	131	27	,	,	PUNCT
ejpam-1834	131	28	χ2	χ2	PROPN
ejpam-1834	131	29	,	,	PUNCT
ejpam-1834	131	30	χ	χ	X
ejpam-1834	131	31	be	be	AUX
ejpam-1834	131	32	unramified	unramifie	VERB
ejpam-1834	131	33	unitary	unitary	ADJ
ejpam-1834	131	34	characters	character	NOUN
ejpam-1834	131	35	.	.	PUNCT
ejpam-1834	132	1	then	then	ADV
ejpam-1834	132	2	the	the	DET
ejpam-1834	132	3	unramified	unramifie	VERB
ejpam-1834	132	4	unitary	unitary	ADJ
ejpam-1834	132	5	representation	representation	NOUN
ejpam-1834	132	6	of	of	ADP
ejpam-1834	132	7	gl(2	gl(2	NOUN
ejpam-1834	132	8	)	)	PUNCT
ejpam-1834	132	9	can	can	AUX
ejpam-1834	132	10	be	be	AUX
ejpam-1834	132	11	written	write	VERB
ejpam-1834	132	12	as	as	SCONJ
ejpam-1834	132	13	follows	follow	VERB
ejpam-1834	132	14	:	:	PUNCT
ejpam-1834	132	15	(	(	PUNCT
ejpam-1834	132	16	i	i	NOUN
ejpam-1834	132	17	)	)	PUNCT
ejpam-1834	132	18	indg	indg	PROPN
ejpam-1834	132	19	b	b	PROPN
ejpam-1834	132	20	(	(	PUNCT
ejpam-1834	132	21	χ1×χ2	χ1×χ2	PROPN
ejpam-1834	132	22	)	)	PUNCT
ejpam-1834	132	23	'	'	PART
ejpam-1834	132	24	indg	indg	NOUN
ejpam-1834	132	25	b	b	PROPN
ejpam-1834	132	26	(	(	PUNCT
ejpam-1834	132	27	χ2×χ1	χ2×χ1	PROPN
ejpam-1834	132	28	)	)	PUNCT
ejpam-1834	132	29	.	.	PUNCT
ejpam-1834	133	1	(	(	PUNCT
ejpam-1834	133	2	ii	ii	X
ejpam-1834	133	3	)	)	PUNCT
ejpam-1834	133	4	χ	χ	PROPN
ejpam-1834	133	5	⊗	⊗	PROPN
ejpam-1834	133	6	st2	st2	NOUN
ejpam-1834	133	7	.	.	PUNCT
ejpam-1834	134	1	proof	proof	NOUN
ejpam-1834	134	2	.	.	PUNCT
ejpam-1834	135	1	see	see	VERB
ejpam-1834	135	2	[	[	X
ejpam-1834	135	3	18	18	NUM
ejpam-1834	135	4	]	]	X
ejpam-1834	135	5	we	we	PRON
ejpam-1834	135	6	have	have	VERB
ejpam-1834	135	7	indj0	indj0	NOUN
ejpam-1834	136	1	i	i	PRON
ejpam-1834	136	2	1i	1i	NOUN
ejpam-1834	136	3	=	=	NOUN
ejpam-1834	136	4	1j0	1j0	NUM
ejpam-1834	136	5	⊕stj0	⊕stj0	ADV
ejpam-1834	136	6	2	2	NUM
ejpam-1834	136	7	and	and	CCONJ
ejpam-1834	136	8	indj1	indj1	NOUN
ejpam-1834	137	1	i	i	PRON
ejpam-1834	137	2	1i	1i	NOUN
ejpam-1834	137	3	=	=	SYM
ejpam-1834	137	4	1j1	1j1	NUM
ejpam-1834	137	5	⊕stj1	⊕stj1	VERB
ejpam-1834	137	6	2	2	NUM
ejpam-1834	137	7	.	.	PUNCT
ejpam-1834	138	1	then	then	ADV
ejpam-1834	138	2	the	the	DET
ejpam-1834	138	3	little	little	ADJ
ejpam-1834	138	4	complex	complex	NOUN
ejpam-1834	138	5	determined	determine	VERB
ejpam-1834	138	6	by	by	ADP
ejpam-1834	138	7	this	this	DET
ejpam-1834	138	8	type	type	NOUN
ejpam-1834	138	9	is	be	AUX
ejpam-1834	138	10	0	0	NUM
ejpam-1834	138	11	r(j	r(j	NOUN
ejpam-1834	138	12	0	0	NUM
ejpam-1834	138	13	)	)	PUNCT
ejpam-1834	138	14	⊕r(j	⊕r(j	NOUN
ejpam-1834	138	15	1	1	NUM
ejpam-1834	138	16	)	)	PUNCT
ejpam-1834	138	17	oo	oo	INTJ
ejpam-1834	138	18	�	�	PROPN
ejpam-1834	138	19	�	�	PROPN
ejpam-1834	138	20	r(i)oo	r(i)oo	PART
ejpam-1834	138	21	�	�	PROPN
ejpam-1834	138	22	�	�	PROPN
ejpam-1834	138	23	0	0	NUM
ejpam-1834	138	24	r(j	r(j	PROPN
ejpam-1834	138	25	0	0	NUM
ejpam-1834	138	26	)	)	PUNCT
ejpam-1834	138	27	⊕r(j	⊕r(j	NOUN
ejpam-1834	138	28	1	1	NUM
ejpam-1834	138	29	)	)	PUNCT
ejpam-1834	138	30	oo	oo	INTJ
ejpam-1834	138	31	r(i)oo	r(i)oo	VERB
ejpam-1834	138	32	where	where	SCONJ
ejpam-1834	138	33	r(j0)⊕r(j1	r(j0)⊕r(j1	NOUN
ejpam-1834	138	34	)	)	PUNCT
ejpam-1834	138	35	is	be	AUX
ejpam-1834	138	36	the	the	DET
ejpam-1834	138	37	free	free	ADJ
ejpam-1834	138	38	abelian	abelian	ADJ
ejpam-1834	138	39	group	group	NOUN
ejpam-1834	138	40	on	on	ADP
ejpam-1834	138	41	the	the	DET
ejpam-1834	138	42	two	two	NUM
ejpam-1834	138	43	elements	element	NOUN
ejpam-1834	138	44	(	(	PUNCT
ejpam-1834	138	45	1j0	1j0	NUM
ejpam-1834	138	46	,	,	PUNCT
ejpam-1834	138	47	1j1	1j1	NUM
ejpam-1834	138	48	)	)	PUNCT
ejpam-1834	138	49	,	,	PUNCT
ejpam-1834	138	50	(	(	PUNCT
ejpam-1834	138	51	stj0	stj0	NOUN
ejpam-1834	138	52	2	2	NUM
ejpam-1834	138	53	,	,	PUNCT
ejpam-1834	138	54	stj1	stj1	ADJ
ejpam-1834	138	55	2	2	X
ejpam-1834	138	56	)	)	PUNCT
ejpam-1834	138	57	∈r(j	∈r(j	PROPN
ejpam-1834	138	58	0	0	NUM
ejpam-1834	138	59	)	)	PUNCT
ejpam-1834	138	60	⊕r(j	⊕r(j	PROPN
ejpam-1834	138	61	1	1	NUM
ejpam-1834	138	62	)	)	PUNCT
ejpam-1834	138	63	and	and	CCONJ
ejpam-1834	138	64	r(i	r(i	NOUN
ejpam-1834	138	65	)	)	PUNCT
ejpam-1834	138	66	is	be	AUX
ejpam-1834	138	67	the	the	DET
ejpam-1834	138	68	free	free	ADJ
ejpam-1834	138	69	abelian	abelian	ADJ
ejpam-1834	138	70	group	group	NOUN
ejpam-1834	138	71	on	on	ADP
ejpam-1834	138	72	the	the	DET
ejpam-1834	138	73	single	single	ADJ
ejpam-1834	138	74	generator	generator	NOUN
ejpam-1834	138	75	1i	1i	NOUN
ejpam-1834	138	76	∈r(i	∈r(i	NOUN
ejpam-1834	138	77	)	)	PUNCT
ejpam-1834	138	78	.	.	PUNCT
ejpam-1834	139	1	the	the	DET
ejpam-1834	139	2	above	above	ADJ
ejpam-1834	139	3	bicomplex	bicomplex	NOUN
ejpam-1834	139	4	chain	chain	NOUN
ejpam-1834	139	5	implies	imply	VERB
ejpam-1834	139	6	that	that	SCONJ
ejpam-1834	139	7	we	we	PRON
ejpam-1834	139	8	need	need	VERB
ejpam-1834	139	9	to	to	PART
ejpam-1834	139	10	consider	consider	VERB
ejpam-1834	139	11	only	only	ADJ
ejpam-1834	139	12	invariant	invariant	ADJ
ejpam-1834	139	13	elements	element	NOUN
ejpam-1834	139	14	.	.	PUNCT
ejpam-1834	140	1	therefore	therefore	ADV
ejpam-1834	140	2	,	,	PUNCT
ejpam-1834	140	3	we	we	PRON
ejpam-1834	140	4	need	need	VERB
ejpam-1834	140	5	to	to	PART
ejpam-1834	140	6	restrict	restrict	VERB
ejpam-1834	140	7	to	to	ADP
ejpam-1834	140	8	the	the	DET
ejpam-1834	140	9	invariant	invariant	ADJ
ejpam-1834	140	10	elements	element	NOUN
ejpam-1834	140	11	so	so	SCONJ
ejpam-1834	140	12	we	we	PRON
ejpam-1834	140	13	have	have	VERB
ejpam-1834	140	14	the	the	DET
ejpam-1834	140	15	following	following	NOUN
ejpam-1834	140	16	:	:	PUNCT
ejpam-1834	140	17	1j0	1j0	NUM
ejpam-1834	140	18	⊕	⊕	PROPN
ejpam-1834	140	19	stj0	stj0	ADJ
ejpam-1834	140	20	2	2	NUM
ejpam-1834	140	21	∼	∼	NOUN
ejpam-1834	140	22	0	0	NUM
ejpam-1834	140	23	i.e.	i.e.	X
ejpam-1834	140	24	1j0	1j0	NUM
ejpam-1834	140	25	∼−stj0	∼−stj0	ADV
ejpam-1834	140	26	2	2	NUM
ejpam-1834	140	27	w.	w.	NOUN
ejpam-1834	140	28	aeal	aeal	PROPN
ejpam-1834	140	29	/	/	SYM
ejpam-1834	140	30	eur	eur	PROPN
ejpam-1834	140	31	.	.	PUNCT
ejpam-1834	141	1	j.	j.	PROPN
ejpam-1834	141	2	pure	pure	PROPN
ejpam-1834	141	3	appl	appl	PROPN
ejpam-1834	141	4	.	.	PROPN
ejpam-1834	141	5	math	math	PROPN
ejpam-1834	141	6	,	,	PUNCT
ejpam-1834	141	7	6	6	NUM
ejpam-1834	141	8	(	(	PUNCT
ejpam-1834	141	9	2013	2013	NUM
ejpam-1834	141	10	)	)	PUNCT
ejpam-1834	141	11	,	,	PUNCT
ejpam-1834	141	12	282	282	NUM
ejpam-1834	141	13	-	-	SYM
ejpam-1834	141	14	298	298	NUM
ejpam-1834	141	15	287	287	NUM
ejpam-1834	141	16	1j1	1j1	NUM
ejpam-1834	141	17	⊕	⊕	PROPN
ejpam-1834	141	18	stj1	stj1	VERB
ejpam-1834	141	19	2	2	NUM
ejpam-1834	141	20	∼	∼	NOUN
ejpam-1834	141	21	0	0	NUM
ejpam-1834	141	22	i.e.	i.e.	X
ejpam-1834	141	23	1j1	1j1	NUM
ejpam-1834	141	24	∼−stj1	∼−stj1	ADP
ejpam-1834	141	25	2	2	NUM
ejpam-1834	141	26	this	this	PRON
ejpam-1834	141	27	means	mean	VERB
ejpam-1834	141	28	we	we	PRON
ejpam-1834	141	29	have	have	VERB
ejpam-1834	141	30	one	one	NUM
ejpam-1834	141	31	element	element	NOUN
ejpam-1834	141	32	(	(	PUNCT
ejpam-1834	141	33	1j0	1j0	NUM
ejpam-1834	141	34	,	,	PUNCT
ejpam-1834	141	35	1j1	1j1	NUM
ejpam-1834	141	36	)	)	PUNCT
ejpam-1834	141	37	∼−(stj0	∼−(stj0	NUM
ejpam-1834	141	38	2	2	NUM
ejpam-1834	141	39	,	,	PUNCT
ejpam-1834	141	40	stj1	stj1	NOUN
ejpam-1834	141	41	2	2	NUM
ejpam-1834	141	42	)	)	PUNCT
ejpam-1834	141	43	.	.	PUNCT
ejpam-1834	142	1	by	by	ADP
ejpam-1834	142	2	totalizing	totalize	VERB
ejpam-1834	142	3	the	the	DET
ejpam-1834	142	4	above	above	ADJ
ejpam-1834	142	5	little	little	ADJ
ejpam-1834	142	6	complex	complex	NOUN
ejpam-1834	142	7	we	we	PRON
ejpam-1834	142	8	get	get	VERB
ejpam-1834	142	9	0	0	NUM
ejpam-1834	142	10	r(j	r(j	NOUN
ejpam-1834	142	11	0	0	NUM
ejpam-1834	142	12	)	)	PUNCT
ejpam-1834	142	13	⊕r(j	⊕r(j	NOUN
ejpam-1834	142	14	1	1	NUM
ejpam-1834	142	15	)	)	PUNCT
ejpam-1834	142	16	oo	oo	INTJ
ejpam-1834	142	17	r(i)oo	r(i)oo	VERB
ejpam-1834	142	18	0oo	0oo	ADV
ejpam-1834	142	19	,	,	PUNCT
ejpam-1834	142	20	hence	hence	ADV
ejpam-1834	142	21	by	by	ADP
ejpam-1834	142	22	theorem	theorem	NOUN
ejpam-1834	142	23	1	1	NUM
ejpam-1834	142	24	we	we	PRON
ejpam-1834	142	25	have	have	VERB
ejpam-1834	142	26	h0	h0	PROPN
ejpam-1834	142	27	=	=	PROPN
ejpam-1834	142	28	h0	h0	PROPN
ejpam-1834	142	29	,	,	PUNCT
ejpam-1834	142	30	h1	h1	PROPN
ejpam-1834	142	31	=	=	SYM
ejpam-1834	142	32	h0	h0	PROPN
ejpam-1834	142	33	+	+	PROPN
ejpam-1834	142	34	h1	h1	PROPN
ejpam-1834	142	35	,	,	PUNCT
ejpam-1834	142	36	h2	h2	NOUN
ejpam-1834	142	37	=	=	PUNCT
ejpam-1834	142	38	h1	h1	PROPN
ejpam-1834	142	39	.	.	PUNCT
ejpam-1834	143	1	now	now	ADV
ejpam-1834	143	2	,	,	PUNCT
ejpam-1834	143	3	h0	h0	PROPN
ejpam-1834	143	4	=	=	PROPN
ejpam-1834	143	5	z	z	PROPN
ejpam-1834	143	6	,	,	PUNCT
ejpam-1834	143	7	h1	h1	PROPN
ejpam-1834	143	8	=	=	SYM
ejpam-1834	143	9	z	z	PROPN
ejpam-1834	143	10	,	,	PUNCT
ejpam-1834	143	11	therefore	therefore	ADV
ejpam-1834	143	12	h0	h0	PROPN
ejpam-1834	143	13	=	=	PROPN
ejpam-1834	143	14	z	z	PROPN
ejpam-1834	143	15	,	,	PUNCT
ejpam-1834	143	16	h1	h1	PROPN
ejpam-1834	143	17	=	=	SYM
ejpam-1834	143	18	z2	z2	PROPN
ejpam-1834	143	19	and	and	CCONJ
ejpam-1834	143	20	h2	h2	PROPN
ejpam-1834	143	21	=	=	PUNCT
ejpam-1834	143	22	z.	z.	PROPN
ejpam-1834	143	23	i.e.	i.e.	X
ejpam-1834	143	24	heven	heven	PROPN
ejpam-1834	143	25	=	=	SYM
ejpam-1834	143	26	z2	z2	PROPN
ejpam-1834	143	27	=	=	PUNCT
ejpam-1834	143	28	hodd	hodd	PROPN
ejpam-1834	143	29	.	.	PUNCT
ejpam-1834	144	1	let	let	VERB
ejpam-1834	144	2	λ	λ	NOUN
ejpam-1834	144	3	be	be	AUX
ejpam-1834	144	4	a	a	DET
ejpam-1834	144	5	unitary	unitary	ADJ
ejpam-1834	144	6	character	character	NOUN
ejpam-1834	144	7	of	of	ADP
ejpam-1834	144	8	gl(1	gl(1	PROPN
ejpam-1834	144	9	,	,	PUNCT
ejpam-1834	144	10	f	f	NOUN
ejpam-1834	144	11	)	)	PUNCT
ejpam-1834	144	12	'	'	PUNCT
ejpam-1834	144	13	f×	f×	NOUN
ejpam-1834	144	14	,	,	PUNCT
ejpam-1834	144	15	and	and	CCONJ
ejpam-1834	144	16	let	let	VERB
ejpam-1834	144	17	τ	τ	PROPN
ejpam-1834	144	18	=	=	PUNCT
ejpam-1834	144	19	λ	λ	PROPN
ejpam-1834	144	20	◦	◦	NOUN
ejpam-1834	144	21	det	det	NOUN
ejpam-1834	144	22	:	:	PUNCT
ejpam-1834	144	23	i	i	PROPN
ejpam-1834	144	24	→	→	SYM
ejpam-1834	144	25	u	u	PROPN
ejpam-1834	144	26	(	(	PUNCT
ejpam-1834	144	27	1	1	NUM
ejpam-1834	144	28	)	)	PUNCT
ejpam-1834	144	29	.	.	PUNCT
ejpam-1834	145	1	theorem	theorem	VERB
ejpam-1834	145	2	9	9	NUM
ejpam-1834	145	3	in	in	ADP
ejpam-1834	145	4	[	[	X
ejpam-1834	145	5	1	1	X
ejpam-1834	145	6	]	]	PUNCT
ejpam-1834	145	7	shows	show	VERB
ejpam-1834	145	8	that	that	SCONJ
ejpam-1834	145	9	the	the	DET
ejpam-1834	145	10	totalised	totalise	VERB
ejpam-1834	145	11	little	little	ADJ
ejpam-1834	145	12	complex	complex	NOUN
ejpam-1834	145	13	created	create	VERB
ejpam-1834	145	14	by	by	ADP
ejpam-1834	145	15	the	the	PRON
ejpam-1834	145	16	(	(	PUNCT
ejpam-1834	145	17	i	i	PROPN
ejpam-1834	145	18	,	,	PUNCT
ejpam-1834	145	19	τ	τ	X
ejpam-1834	145	20	)	)	PUNCT
ejpam-1834	145	21	is	be	AUX
ejpam-1834	145	22	isomorphic	isomorphic	ADJ
ejpam-1834	145	23	to	to	ADP
ejpam-1834	145	24	the	the	DET
ejpam-1834	145	25	totalized	totalize	VERB
ejpam-1834	145	26	little	little	ADJ
ejpam-1834	145	27	complex	complex	NOUN
ejpam-1834	145	28	created	create	VERB
ejpam-1834	145	29	by	by	ADP
ejpam-1834	145	30	the	the	DET
ejpam-1834	145	31	trivial	trivial	ADJ
ejpam-1834	145	32	type	type	NOUN
ejpam-1834	145	33	(	(	PUNCT
ejpam-1834	145	34	i	i	NOUN
ejpam-1834	145	35	,	,	PUNCT
ejpam-1834	145	36	1i	1i	NUM
ejpam-1834	145	37	)	)	PUNCT
ejpam-1834	145	38	.	.	PUNCT
ejpam-1834	146	1	therefore	therefore	ADV
ejpam-1834	146	2	,	,	PUNCT
ejpam-1834	146	3	the	the	DET
ejpam-1834	146	4	homology	homology	NOUN
ejpam-1834	146	5	groups	group	NOUN
ejpam-1834	146	6	heven	heven	VERB
ejpam-1834	146	7	=	=	SYM
ejpam-1834	146	8	z2	z2	PROPN
ejpam-1834	146	9	=	=	PUNCT
ejpam-1834	146	10	hodd	hodd	PROPN
ejpam-1834	146	11	2.2	2.2	NUM
ejpam-1834	146	12	.	.	PUNCT
ejpam-1834	147	1	the	the	DET
ejpam-1834	147	2	irreducible	irreducible	ADJ
ejpam-1834	147	3	components	component	NOUN
ejpam-1834	147	4	of	of	ADP
ejpam-1834	147	5	reducible	reducible	ADJ
ejpam-1834	147	6	principal	principal	ADJ
ejpam-1834	147	7	series	series	NOUN
ejpam-1834	147	8	let	let	VERB
ejpam-1834	147	9	s	s	PRON
ejpam-1834	147	10	=	=	PUNCT
ejpam-1834	148	1	[	[	X
ejpam-1834	148	2	t	t	PROPN
ejpam-1834	148	3	,	,	PUNCT
ejpam-1834	148	4	σ]g	σ]g	VERB
ejpam-1834	148	5	.	.	PUNCT
ejpam-1834	149	1	consider	consider	VERB
ejpam-1834	149	2	the	the	DET
ejpam-1834	149	3	s	s	NOUN
ejpam-1834	149	4	-	-	NOUN
ejpam-1834	149	5	type	type	NOUN
ejpam-1834	149	6	(	(	PUNCT
ejpam-1834	149	7	j	j	PROPN
ejpam-1834	149	8	,	,	PUNCT
ejpam-1834	149	9	τ	τ	PROPN
ejpam-1834	149	10	)	)	PUNCT
ejpam-1834	149	11	where	where	SCONJ
ejpam-1834	149	12	j	j	PROPN
ejpam-1834	149	13	is	be	AUX
ejpam-1834	149	14	compact	compact	ADJ
ejpam-1834	149	15	open	open	ADJ
ejpam-1834	149	16	subgroup	subgroup	NOUN
ejpam-1834	149	17	of	of	ADP
ejpam-1834	149	18	g	g	PROPN
ejpam-1834	149	19	and	and	CCONJ
ejpam-1834	149	20	τ	τ	PROPN
ejpam-1834	149	21	is	be	AUX
ejpam-1834	149	22	an	an	DET
ejpam-1834	149	23	irreducible	irreducible	ADJ
ejpam-1834	149	24	smooth	smooth	ADJ
ejpam-1834	149	25	representation	representation	NOUN
ejpam-1834	149	26	of	of	ADP
ejpam-1834	149	27	j	j	PROPN
ejpam-1834	149	28	.	.	PUNCT
ejpam-1834	150	1	lemma	lemma	PROPN
ejpam-1834	150	2	1	1	X
ejpam-1834	150	3	.	.	PUNCT
ejpam-1834	151	1	let	let	VERB
ejpam-1834	151	2	χ	χ	X
ejpam-1834	151	3	=	=	PUNCT
ejpam-1834	151	4	ind	ind	NOUN
ejpam-1834	152	1	i	i	PRON
ejpam-1834	152	2	jτ	jτ	PROPN
ejpam-1834	152	3	.	.	PUNCT
ejpam-1834	153	1	then	then	ADV
ejpam-1834	153	2	χ	χ	PROPN
ejpam-1834	153	3	is	be	AUX
ejpam-1834	153	4	irreducible	irreducible	ADJ
ejpam-1834	153	5	.	.	PUNCT
ejpam-1834	154	1	proof	proof	NOUN
ejpam-1834	154	2	.	.	PUNCT
ejpam-1834	155	1	see	see	VERB
ejpam-1834	155	2	[	[	X
ejpam-1834	155	3	1	1	X
ejpam-1834	155	4	]	]	X
ejpam-1834	155	5	lemma	lemma	PROPN
ejpam-1834	155	6	2	2	X
ejpam-1834	155	7	.	.	X
ejpam-1834	156	1	we	we	PRON
ejpam-1834	156	2	have	have	VERB
ejpam-1834	156	3	indj0	indj0	NOUN
ejpam-1834	157	1	i	i	PRON
ejpam-1834	157	2	χ	χ	X
ejpam-1834	157	3	=	=	SYM
ejpam-1834	157	4	α0⊕	α0⊕	PROPN
ejpam-1834	157	5	γ0	γ0	PROPN
ejpam-1834	157	6	indj1	indj1	NOUN
ejpam-1834	158	1	i	i	PRON
ejpam-1834	158	2	χ	χ	X
ejpam-1834	158	3	=	=	SYM
ejpam-1834	158	4	α1⊕	α1⊕	NUM
ejpam-1834	158	5	γ1	γ1	NOUN
ejpam-1834	158	6	.	.	PUNCT
ejpam-1834	159	1	let	let	VERB
ejpam-1834	159	2	r(j	r(j	PROPN
ejpam-1834	159	3	0	0	PUNCT
ejpam-1834	160	1	(	(	PUNCT
ejpam-1834	160	2	τ))⊕r(j	τ))⊕r(j	NOUN
ejpam-1834	160	3	1	1	NUM
ejpam-1834	160	4	(	(	PUNCT
ejpam-1834	160	5	τ	τ	PROPN
ejpam-1834	160	6	)	)	PUNCT
ejpam-1834	160	7	)	)	PUNCT
ejpam-1834	160	8	be	be	AUX
ejpam-1834	160	9	the	the	DET
ejpam-1834	160	10	free	free	ADJ
ejpam-1834	160	11	abelian	abelian	ADJ
ejpam-1834	160	12	group	group	NOUN
ejpam-1834	160	13	on	on	ADP
ejpam-1834	160	14	the	the	DET
ejpam-1834	160	15	element	element	NOUN
ejpam-1834	160	16	(	(	PUNCT
ejpam-1834	160	17	α0,α1	α0,α1	ADJ
ejpam-1834	160	18	)	)	PUNCT
ejpam-1834	160	19	∼	∼	NOUN
ejpam-1834	160	20	(	(	PUNCT
ejpam-1834	160	21	γ0,γ1	γ0,γ1	PROPN
ejpam-1834	160	22	)	)	PUNCT
ejpam-1834	160	23	∈r(j	∈r(j	PROPN
ejpam-1834	160	24	0	0	NUM
ejpam-1834	160	25	)	)	PUNCT
ejpam-1834	160	26	⊕r(j	⊕r(j	PROPN
ejpam-1834	160	27	1	1	NUM
ejpam-1834	160	28	)	)	PUNCT
ejpam-1834	160	29	and	and	CCONJ
ejpam-1834	160	30	let	let	VERB
ejpam-1834	160	31	r(i(τ	r(i(τ	NOUN
ejpam-1834	160	32	)	)	PUNCT
ejpam-1834	160	33	)	)	PUNCT
ejpam-1834	161	1	be	be	AUX
ejpam-1834	161	2	the	the	DET
ejpam-1834	161	3	free	free	ADJ
ejpam-1834	161	4	abelian	abelian	ADJ
ejpam-1834	161	5	group	group	NOUN
ejpam-1834	161	6	on	on	ADP
ejpam-1834	161	7	the	the	DET
ejpam-1834	161	8	element	element	NOUN
ejpam-1834	161	9	χ	χ	NOUN
ejpam-1834	161	10	.	.	PUNCT
ejpam-1834	162	1	the	the	DET
ejpam-1834	162	2	little	little	ADJ
ejpam-1834	162	3	complex	complex	NOUN
ejpam-1834	162	4	is	be	AUX
ejpam-1834	162	5	then	then	ADV
ejpam-1834	162	6	0	0	NUM
ejpam-1834	162	7	r(j	r(j	NOUN
ejpam-1834	162	8	0	0	PUNCT
ejpam-1834	163	1	(	(	PUNCT
ejpam-1834	163	2	τ))⊕r(j	τ))⊕r(j	NOUN
ejpam-1834	163	3	1	1	NUM
ejpam-1834	163	4	(	(	PUNCT
ejpam-1834	163	5	τ))oo	τ))oo	PROPN
ejpam-1834	163	6	r(i(τ))oo	r(i(τ))oo	NOUN
ejpam-1834	163	7	0oo	0oo	ADJ
ejpam-1834	163	8	.	.	PUNCT
ejpam-1834	164	1	hence	hence	ADV
ejpam-1834	164	2	h0(τ	h0(τ	NUM
ejpam-1834	164	3	)	)	PUNCT
ejpam-1834	164	4	=	=	SYM
ejpam-1834	164	5	h0(τ	h0(τ	X
ejpam-1834	164	6	)	)	PUNCT
ejpam-1834	164	7	=	=	SYM
ejpam-1834	164	8	z	z	PROPN
ejpam-1834	164	9	,	,	PUNCT
ejpam-1834	164	10	h1(τ	h1(τ	PROPN
ejpam-1834	164	11	)	)	PUNCT
ejpam-1834	164	12	=	=	SYM
ejpam-1834	164	13	h0(τ	h0(τ	X
ejpam-1834	164	14	)	)	PUNCT
ejpam-1834	164	15	+	+	CCONJ
ejpam-1834	164	16	h1(τ	h1(τ	X
ejpam-1834	164	17	)	)	PUNCT
ejpam-1834	164	18	=	=	SYM
ejpam-1834	164	19	z2	z2	PROPN
ejpam-1834	164	20	,	,	PUNCT
ejpam-1834	164	21	h2(τ	h2(τ	X
ejpam-1834	164	22	)	)	PUNCT
ejpam-1834	164	23	=	=	SYM
ejpam-1834	164	24	h1(τ	h1(τ	PROPN
ejpam-1834	164	25	)	)	PUNCT
ejpam-1834	165	1	=	=	SYM
ejpam-1834	165	2	z	z	NOUN
ejpam-1834	165	3	,	,	PUNCT
ejpam-1834	165	4	i.e.	i.e.	X
ejpam-1834	165	5	heven	heven	ADJ
ejpam-1834	165	6	=	=	SYM
ejpam-1834	165	7	z2	z2	PROPN
ejpam-1834	165	8	=	=	PROPN
ejpam-1834	165	9	hodd	hodd	PROPN
ejpam-1834	165	10	.	.	PUNCT
ejpam-1834	166	1	w.	w.	PROPN
ejpam-1834	166	2	aeal	aeal	PROPN
ejpam-1834	166	3	/	/	SYM
ejpam-1834	166	4	eur	eur	PROPN
ejpam-1834	166	5	.	.	PUNCT
ejpam-1834	167	1	j.	j.	PROPN
ejpam-1834	167	2	pure	pure	PROPN
ejpam-1834	167	3	appl	appl	PROPN
ejpam-1834	167	4	.	.	PROPN
ejpam-1834	167	5	math	math	PROPN
ejpam-1834	167	6	,	,	PUNCT
ejpam-1834	167	7	6	6	NUM
ejpam-1834	167	8	(	(	PUNCT
ejpam-1834	167	9	2013	2013	NUM
ejpam-1834	167	10	)	)	PUNCT
ejpam-1834	167	11	,	,	PUNCT
ejpam-1834	167	12	282	282	NUM
ejpam-1834	167	13	-	-	SYM
ejpam-1834	167	14	298	298	NUM
ejpam-1834	167	15	288	288	NUM
ejpam-1834	167	16	2.3	2.3	NUM
ejpam-1834	167	17	.	.	PUNCT
ejpam-1834	168	1	cuspidal	cuspidal	NOUN
ejpam-1834	168	2	representations	representation	NOUN
ejpam-1834	168	3	let	let	VERB
ejpam-1834	168	4	s	s	NOUN
ejpam-1834	168	5	=	=	PUNCT
ejpam-1834	169	1	[	[	X
ejpam-1834	169	2	g	g	NOUN
ejpam-1834	169	3	,	,	PUNCT
ejpam-1834	169	4	π	π	PROPN
ejpam-1834	169	5	]	]	X
ejpam-1834	169	6	,	,	PUNCT
ejpam-1834	169	7	where	where	SCONJ
ejpam-1834	169	8	g	g	PROPN
ejpam-1834	169	9	=	=	PROPN
ejpam-1834	169	10	gl(2	gl(2	PROPN
ejpam-1834	169	11	,	,	PUNCT
ejpam-1834	169	12	f	f	PROPN
ejpam-1834	169	13	)	)	PUNCT
ejpam-1834	169	14	and	and	CCONJ
ejpam-1834	169	15	π	π	PROPN
ejpam-1834	169	16	is	be	AUX
ejpam-1834	169	17	an	an	DET
ejpam-1834	169	18	irreducible	irreducible	ADJ
ejpam-1834	169	19	cuspidal	cuspidal	NOUN
ejpam-1834	169	20	representation	representation	NOUN
ejpam-1834	169	21	of	of	ADP
ejpam-1834	169	22	g.	g.	PROPN
ejpam-1834	169	23	let	let	VERB
ejpam-1834	169	24	(	(	PUNCT
ejpam-1834	169	25	j	j	PROPN
ejpam-1834	169	26	,	,	PUNCT
ejpam-1834	169	27	σ	σ	PROPN
ejpam-1834	169	28	)	)	PUNCT
ejpam-1834	169	29	be	be	VERB
ejpam-1834	169	30	the	the	DET
ejpam-1834	169	31	maximal	maximal	ADJ
ejpam-1834	169	32	simple	simple	ADJ
ejpam-1834	169	33	type	type	NOUN
ejpam-1834	169	34	contained	contain	VERB
ejpam-1834	169	35	in	in	ADP
ejpam-1834	169	36	π	π	PROPN
ejpam-1834	169	37	[	[	X
ejpam-1834	169	38	6	6	NUM
ejpam-1834	169	39	]	]	PUNCT
ejpam-1834	169	40	.	.	PUNCT
ejpam-1834	170	1	it	it	PRON
ejpam-1834	170	2	follows	follow	VERB
ejpam-1834	170	3	that	that	SCONJ
ejpam-1834	170	4	j(s	j(s	NOUN
ejpam-1834	170	5	)	)	PUNCT
ejpam-1834	171	1	=	=	SYM
ejpam-1834	171	2	gl(2,of	gl(2,of	NOUN
ejpam-1834	171	3	)	)	PUNCT
ejpam-1834	171	4	=	=	PUNCT
ejpam-1834	172	1	j0	j0	PROPN
ejpam-1834	173	1	[	[	X
ejpam-1834	173	2	1	1	NUM
ejpam-1834	173	3	]	]	PUNCT
ejpam-1834	173	4	.	.	PUNCT
ejpam-1834	174	1	by	by	ADP
ejpam-1834	174	2	lemma	lemma	PROPN
ejpam-1834	174	3	1	1	NUM
ejpam-1834	174	4	,	,	PUNCT
ejpam-1834	174	5	it	it	PRON
ejpam-1834	174	6	follows	follow	VERB
ejpam-1834	174	7	that	that	SCONJ
ejpam-1834	174	8	λ	λ	NOUN
ejpam-1834	174	9	=	=	PUNCT
ejpam-1834	174	10	indj0	indj0	NOUN
ejpam-1834	174	11	j	j	PROPN
ejpam-1834	174	12	σ	σ	PROPN
ejpam-1834	174	13	is	be	AUX
ejpam-1834	174	14	irreducible	irreducible	ADJ
ejpam-1834	174	15	.	.	PUNCT
ejpam-1834	175	1	now	now	ADV
ejpam-1834	175	2	,	,	PUNCT
ejpam-1834	175	3	the	the	DET
ejpam-1834	175	4	pair	pair	NOUN
ejpam-1834	175	5	(	(	PUNCT
ejpam-1834	175	6	j0,λ	j0,λ	NOUN
ejpam-1834	175	7	)	)	PUNCT
ejpam-1834	175	8	is	be	AUX
ejpam-1834	175	9	an	an	DET
ejpam-1834	175	10	s	s	NOUN
ejpam-1834	175	11	-	-	NOUN
ejpam-1834	175	12	type	type	NOUN
ejpam-1834	175	13	.	.	PUNCT
ejpam-1834	176	1	the	the	DET
ejpam-1834	176	2	restriction	restriction	NOUN
ejpam-1834	176	3	of	of	ADP
ejpam-1834	176	4	a	a	DET
ejpam-1834	176	5	smooth	smooth	ADJ
ejpam-1834	176	6	irreducible	irreducible	ADJ
ejpam-1834	176	7	representation	representation	NOUN
ejpam-1834	176	8	ρ	ρ	NOUN
ejpam-1834	176	9	of	of	ADP
ejpam-1834	176	10	g	g	PROPN
ejpam-1834	176	11	to	to	ADP
ejpam-1834	176	12	j0	j0	PROPN
ejpam-1834	176	13	contains	contain	VERB
ejpam-1834	176	14	λ	λ	PROPN
ejpam-1834	176	15	if	if	SCONJ
ejpam-1834	177	1	and	and	CCONJ
ejpam-1834	177	2	only	only	ADV
ejpam-1834	177	3	if	if	SCONJ
ejpam-1834	177	4	ρ	ρ	PRON
ejpam-1834	177	5	∼=	∼=	PART
ejpam-1834	177	6	π⊗χ	π⊗χ	X
ejpam-1834	177	7	◦	◦	NOUN
ejpam-1834	177	8	det	det	NOUN
ejpam-1834	177	9	where	where	SCONJ
ejpam-1834	177	10	χ	χ	NOUN
ejpam-1834	177	11	is	be	AUX
ejpam-1834	177	12	an	an	DET
ejpam-1834	177	13	unramified	unramifie	VERB
ejpam-1834	177	14	character	character	NOUN
ejpam-1834	177	15	of	of	ADP
ejpam-1834	177	16	f×	f×	PROPN
ejpam-1834	177	17	,	,	PUNCT
ejpam-1834	177	18	i.e.	i.e.	X
ejpam-1834	177	19	π	π	X
ejpam-1834	177	20	contains	contain	VERB
ejpam-1834	177	21	λ	λ	PROPN
ejpam-1834	177	22	with	with	ADP
ejpam-1834	177	23	multiplicity	multiplicity	NOUN
ejpam-1834	177	24	1	1	NUM
ejpam-1834	177	25	.	.	PUNCT
ejpam-1834	178	1	therefore	therefore	ADV
ejpam-1834	178	2	,	,	PUNCT
ejpam-1834	178	3	the	the	DET
ejpam-1834	178	4	representation	representation	NOUN
ejpam-1834	178	5	λ	λ	PROPN
ejpam-1834	178	6	is	be	AUX
ejpam-1834	178	7	the	the	DET
ejpam-1834	178	8	unique	unique	ADJ
ejpam-1834	178	9	smooth	smooth	ADJ
ejpam-1834	178	10	irreducible	irreducible	ADJ
ejpam-1834	178	11	representation	representation	NOUN
ejpam-1834	178	12	τ	τ	PROPN
ejpam-1834	178	13	of	of	ADP
ejpam-1834	178	14	j0	j0	PROPN
ejpam-1834	178	15	such	such	ADJ
ejpam-1834	178	16	that	that	SCONJ
ejpam-1834	178	17	(	(	PUNCT
ejpam-1834	178	18	j0,τ	j0,τ	PROPN
ejpam-1834	178	19	)	)	PUNCT
ejpam-1834	178	20	is	be	AUX
ejpam-1834	178	21	an	an	DET
ejpam-1834	178	22	s	s	NOUN
ejpam-1834	178	23	-	-	PUNCT
ejpam-1834	178	24	type	type	NOUN
ejpam-1834	178	25	[	[	X
ejpam-1834	178	26	17	17	NUM
ejpam-1834	178	27	]	]	PUNCT
ejpam-1834	178	28	.	.	PUNCT
ejpam-1834	179	1	the	the	DET
ejpam-1834	179	2	little	little	ADJ
ejpam-1834	179	3	complex	complex	NOUN
ejpam-1834	179	4	determined	determine	VERB
ejpam-1834	179	5	by	by	ADP
ejpam-1834	179	6	λ	λ	PROPN
ejpam-1834	179	7	is	be	AUX
ejpam-1834	179	8	0	0	NUM
ejpam-1834	179	9	c	c	NOUN
ejpam-1834	179	10	(	(	PUNCT
ejpam-1834	179	11	s)oo	s)oo	NOUN
ejpam-1834	179	12	0oo	0oo	NOUN
ejpam-1834	179	13	where	where	SCONJ
ejpam-1834	179	14	c	c	PROPN
ejpam-1834	179	15	(	(	PUNCT
ejpam-1834	179	16	s	s	X
ejpam-1834	179	17	)	)	PUNCT
ejpam-1834	179	18	is	be	AUX
ejpam-1834	179	19	the	the	DET
ejpam-1834	179	20	free	free	ADJ
ejpam-1834	179	21	abelian	abelian	ADJ
ejpam-1834	179	22	group	group	NOUN
ejpam-1834	179	23	on	on	ADP
ejpam-1834	179	24	the	the	DET
ejpam-1834	179	25	invariant	invariant	ADJ
ejpam-1834	179	26	0	0	NUM
ejpam-1834	179	27	-	-	PUNCT
ejpam-1834	179	28	cycle	cycle	NOUN
ejpam-1834	179	29	τ	τ	PROPN
ejpam-1834	179	30	.	.	PUNCT
ejpam-1834	180	1	the	the	DET
ejpam-1834	180	2	total	total	ADJ
ejpam-1834	180	3	homology	homology	NOUN
ejpam-1834	180	4	of	of	ADP
ejpam-1834	180	5	the	the	DET
ejpam-1834	180	6	little	little	ADJ
ejpam-1834	180	7	complex	complex	NOUN
ejpam-1834	180	8	is	be	AUX
ejpam-1834	180	9	given	give	VERB
ejpam-1834	180	10	by	by	ADP
ejpam-1834	180	11	h0(s	h0(s	PROPN
ejpam-1834	180	12	)	)	PUNCT
ejpam-1834	180	13	=	=	PUNCT
ejpam-1834	181	1	z.	z.	PROPN
ejpam-1834	181	2	therefore	therefore	ADV
ejpam-1834	181	3	,	,	PUNCT
ejpam-1834	181	4	heven	heven	PROPN
ejpam-1834	181	5	=	=	PUNCT
ejpam-1834	181	6	z=	z=	PROPN
ejpam-1834	181	7	hodd	hodd	PROPN
ejpam-1834	181	8	.	.	PUNCT
ejpam-1834	182	1	2.4	2.4	NUM
ejpam-1834	182	2	.	.	PUNCT
ejpam-1834	183	1	the	the	DET
ejpam-1834	183	2	principal	principal	ADJ
ejpam-1834	183	3	series	series	NOUN
ejpam-1834	183	4	let	let	VERB
ejpam-1834	183	5	(	(	PUNCT
ejpam-1834	183	6	j	j	PROPN
ejpam-1834	183	7	,	,	PUNCT
ejpam-1834	183	8	τ	τ	PROPN
ejpam-1834	183	9	)	)	PUNCT
ejpam-1834	183	10	be	be	VERB
ejpam-1834	183	11	s	s	NOUN
ejpam-1834	183	12	-	-	NOUN
ejpam-1834	183	13	type	type	NOUN
ejpam-1834	183	14	,	,	PUNCT
ejpam-1834	183	15	j0	j0	PROPN
ejpam-1834	183	16	=	=	SYM
ejpam-1834	183	17	gl(2,of	gl(2,of	NOUN
ejpam-1834	183	18	)	)	PUNCT
ejpam-1834	183	19	.	.	PUNCT
ejpam-1834	184	1	if	if	SCONJ
ejpam-1834	184	2	j	j	PROPN
ejpam-1834	184	3	⊂	⊂	PROPN
ejpam-1834	184	4	j0	j0	PROPN
ejpam-1834	184	5	then	then	ADV
ejpam-1834	184	6	the	the	DET
ejpam-1834	184	7	only	only	ADJ
ejpam-1834	184	8	double	double	ADJ
ejpam-1834	184	9	j	j	PROPN
ejpam-1834	184	10	-coset	-coset	NOUN
ejpam-1834	184	11	representative	representative	NOUN
ejpam-1834	184	12	which	which	PRON
ejpam-1834	184	13	g	g	NOUN
ejpam-1834	184	14	-	-	PUNCT
ejpam-1834	184	15	intertwines	intertwine	VERB
ejpam-1834	184	16	τ	τ	PROPN
ejpam-1834	184	17	is	be	AUX
ejpam-1834	184	18	1	1	NUM
ejpam-1834	184	19	g	g	NOUN
ejpam-1834	184	20	.	.	PUNCT
ejpam-1834	185	1	therefore	therefore	ADV
ejpam-1834	185	2	,	,	PUNCT
ejpam-1834	185	3	ind	ind	NOUN
ejpam-1834	185	4	i	i	PRON
ejpam-1834	185	5	jτ	jτ	VERB
ejpam-1834	185	6	is	be	AUX
ejpam-1834	185	7	irreducible	irreducible	ADJ
ejpam-1834	185	8	indji	indji	NOUN
ejpam-1834	186	1	j	j	PROPN
ejpam-1834	186	2	τ	τ	PROPN
ejpam-1834	186	3	is	be	AUX
ejpam-1834	186	4	irreducible	irreducible	ADJ
ejpam-1834	186	5	.	.	PUNCT
ejpam-1834	187	1	now	now	ADV
ejpam-1834	187	2	,	,	PUNCT
ejpam-1834	187	3	let	let	VERB
ejpam-1834	187	4	γ	γ	X
ejpam-1834	187	5	=	=	SYM
ejpam-1834	187	6	ind	ind	NOUN
ejpam-1834	187	7	i	i	PROPN
ejpam-1834	187	8	jτ	jτ	PROPN
ejpam-1834	187	9	and	and	CCONJ
ejpam-1834	187	10	σ	σ	PROPN
ejpam-1834	187	11	=	=	PROPN
ejpam-1834	188	1	indji	indji	PROPN
ejpam-1834	189	1	j	j	PROPN
ejpam-1834	189	2	τ	τ	PROPN
ejpam-1834	189	3	.	.	PUNCT
ejpam-1834	190	1	let	let	VERB
ejpam-1834	190	2	c	c	NOUN
ejpam-1834	190	3	(	(	PUNCT
ejpam-1834	190	4	τ	τ	PROPN
ejpam-1834	190	5	)	)	PUNCT
ejpam-1834	190	6	be	be	VERB
ejpam-1834	190	7	the	the	DET
ejpam-1834	190	8	free	free	ADJ
ejpam-1834	190	9	abelian	abelian	ADJ
ejpam-1834	190	10	group	group	NOUN
ejpam-1834	190	11	on	on	ADP
ejpam-1834	190	12	the	the	DET
ejpam-1834	190	13	generator	generator	PROPN
ejpam-1834	190	14	σ	σ	PROPN
ejpam-1834	190	15	,	,	PUNCT
ejpam-1834	190	16	and	and	CCONJ
ejpam-1834	190	17	let	let	VERB
ejpam-1834	190	18	c	c	NOUN
ejpam-1834	190	19	′	′	VERB
ejpam-1834	190	20	(	(	PUNCT
ejpam-1834	190	21	τ	τ	PROPN
ejpam-1834	190	22	)	)	PUNCT
ejpam-1834	190	23	be	be	VERB
ejpam-1834	190	24	the	the	DET
ejpam-1834	190	25	free	free	ADJ
ejpam-1834	190	26	abelian	abelian	ADJ
ejpam-1834	190	27	group	group	NOUN
ejpam-1834	190	28	on	on	ADP
ejpam-1834	190	29	the	the	DET
ejpam-1834	190	30	generator	generator	NOUN
ejpam-1834	190	31	γ	γ	PROPN
ejpam-1834	190	32	.	.	PUNCT
ejpam-1834	191	1	the	the	DET
ejpam-1834	191	2	totalized	totalize	VERB
ejpam-1834	191	3	little	little	ADJ
ejpam-1834	191	4	complex	complex	NOUN
ejpam-1834	191	5	is	be	AUX
ejpam-1834	191	6	0	0	NUM
ejpam-1834	191	7	c	c	NOUN
ejpam-1834	191	8	(	(	PUNCT
ejpam-1834	191	9	τ)oo	τ)oo	NOUN
ejpam-1834	191	10	c	c	NOUN
ejpam-1834	191	11	′	′	NOUN
ejpam-1834	192	1	(	(	PUNCT
ejpam-1834	192	2	τ)oo	τ)oo	PROPN
ejpam-1834	192	3	0oo	0oo	NOUN
ejpam-1834	192	4	.	.	PUNCT
ejpam-1834	193	1	then	then	ADV
ejpam-1834	193	2	h0	h0	PROPN
ejpam-1834	193	3	=	=	PROPN
ejpam-1834	193	4	z	z	PROPN
ejpam-1834	193	5	,	,	PUNCT
ejpam-1834	193	6	h1	h1	PROPN
ejpam-1834	193	7	=	=	SYM
ejpam-1834	193	8	z2	z2	PROPN
ejpam-1834	193	9	,	,	PUNCT
ejpam-1834	193	10	h2	h2	NOUN
ejpam-1834	193	11	=	=	SYM
ejpam-1834	193	12	z	z	PROPN
ejpam-1834	194	1	and	and	CCONJ
ejpam-1834	194	2	so	so	ADV
ejpam-1834	194	3	heven	heven	ADJ
ejpam-1834	194	4	=	=	SYM
ejpam-1834	194	5	z2	z2	PROPN
ejpam-1834	194	6	=	=	PUNCT
ejpam-1834	194	7	hodd	hodd	PROPN
ejpam-1834	194	8	.	.	PUNCT
ejpam-1834	195	1	theorem	theorem	NOUN
ejpam-1834	195	2	3	3	NUM
ejpam-1834	195	3	.	.	PUNCT
ejpam-1834	196	1	(	(	PUNCT
ejpam-1834	196	2	i	i	NOUN
ejpam-1834	196	3	)	)	PUNCT
ejpam-1834	196	4	the	the	DET
ejpam-1834	196	5	base	base	NOUN
ejpam-1834	196	6	change	change	NOUN
ejpam-1834	196	7	of	of	ADP
ejpam-1834	196	8	a	a	DET
ejpam-1834	196	9	twist	twist	NOUN
ejpam-1834	196	10	of	of	ADP
ejpam-1834	196	11	steinberg	steinberg	PROPN
ejpam-1834	196	12	representation	representation	NOUN
ejpam-1834	196	13	is	be	AUX
ejpam-1834	196	14	again	again	ADV
ejpam-1834	196	15	a	a	DET
ejpam-1834	196	16	twist	twist	NOUN
ejpam-1834	196	17	of	of	ADP
ejpam-1834	196	18	steinberg	steinberg	PROPN
ejpam-1834	196	19	.	.	PUNCT
ejpam-1834	197	1	(	(	PUNCT
ejpam-1834	197	2	ii	ii	NOUN
ejpam-1834	197	3	)	)	PUNCT
ejpam-1834	197	4	the	the	DET
ejpam-1834	197	5	base	base	NOUN
ejpam-1834	197	6	change	change	NOUN
ejpam-1834	197	7	of	of	ADP
ejpam-1834	197	8	a	a	DET
ejpam-1834	197	9	principal	principal	ADJ
ejpam-1834	197	10	series	series	NOUN
ejpam-1834	197	11	representation	representation	NOUN
ejpam-1834	197	12	is	be	AUX
ejpam-1834	197	13	always	always	ADV
ejpam-1834	197	14	a	a	DET
ejpam-1834	197	15	principal	principal	ADJ
ejpam-1834	197	16	series	series	NOUN
ejpam-1834	197	17	.	.	PUNCT
ejpam-1834	198	1	(	(	PUNCT
ejpam-1834	198	2	iii	iii	X
ejpam-1834	198	3	)	)	PUNCT
ejpam-1834	198	4	the	the	DET
ejpam-1834	198	5	base	base	NOUN
ejpam-1834	198	6	change	change	NOUN
ejpam-1834	198	7	of	of	ADP
ejpam-1834	198	8	a	a	DET
ejpam-1834	198	9	cuspidal	cuspidal	NOUN
ejpam-1834	198	10	representation	representation	NOUN
ejpam-1834	198	11	will	will	AUX
ejpam-1834	198	12	never	never	ADV
ejpam-1834	198	13	be	be	AUX
ejpam-1834	198	14	a	a	DET
ejpam-1834	198	15	twist	twist	NOUN
ejpam-1834	198	16	of	of	ADP
ejpam-1834	198	17	steinberg	steinberg	PROPN
ejpam-1834	198	18	representation	representation	NOUN
ejpam-1834	198	19	.	.	PUNCT
ejpam-1834	199	1	it	it	PRON
ejpam-1834	199	2	is	be	AUX
ejpam-1834	199	3	possible	possible	ADJ
ejpam-1834	199	4	for	for	SCONJ
ejpam-1834	199	5	the	the	DET
ejpam-1834	199	6	base	base	NOUN
ejpam-1834	199	7	change	change	NOUN
ejpam-1834	199	8	of	of	ADP
ejpam-1834	199	9	a	a	DET
ejpam-1834	199	10	cuspidal	cuspidal	NOUN
ejpam-1834	199	11	representation	representation	NOUN
ejpam-1834	199	12	to	to	PART
ejpam-1834	199	13	be	be	AUX
ejpam-1834	199	14	principal	principal	ADJ
ejpam-1834	199	15	series	series	NOUN
ejpam-1834	199	16	representation	representation	NOUN
ejpam-1834	199	17	.	.	PUNCT
ejpam-1834	200	1	w.	w.	PROPN
ejpam-1834	200	2	aeal	aeal	PROPN
ejpam-1834	200	3	/	/	SYM
ejpam-1834	200	4	eur	eur	PROPN
ejpam-1834	200	5	.	.	PUNCT
ejpam-1834	201	1	j.	j.	PROPN
ejpam-1834	201	2	pure	pure	PROPN
ejpam-1834	201	3	appl	appl	PROPN
ejpam-1834	201	4	.	.	PROPN
ejpam-1834	201	5	math	math	PROPN
ejpam-1834	201	6	,	,	PUNCT
ejpam-1834	201	7	6	6	NUM
ejpam-1834	201	8	(	(	PUNCT
ejpam-1834	201	9	2013	2013	NUM
ejpam-1834	201	10	)	)	PUNCT
ejpam-1834	201	11	,	,	PUNCT
ejpam-1834	201	12	282	282	NUM
ejpam-1834	201	13	-	-	SYM
ejpam-1834	201	14	298	298	NUM
ejpam-1834	201	15	289	289	NUM
ejpam-1834	201	16	proof	proof	NOUN
ejpam-1834	201	17	.	.	PUNCT
ejpam-1834	202	1	let	let	VERB
ejpam-1834	202	2	lf	lf	INTJ
ejpam-1834	202	3	=	=	PUNCT
ejpam-1834	202	4	wf	wf	PROPN
ejpam-1834	202	5	×	×	PROPN
ejpam-1834	202	6	sl(2,c	sl(2,c	ADV
ejpam-1834	202	7	)	)	PUNCT
ejpam-1834	202	8	and	and	CCONJ
ejpam-1834	202	9	le	le	X
ejpam-1834	203	1	=	=	NOUN
ejpam-1834	203	2	we	we	PRON
ejpam-1834	203	3	×	×	VERB
ejpam-1834	203	4	sl(2,c	sl(2,c	ADV
ejpam-1834	203	5	)	)	PUNCT
ejpam-1834	203	6	be	be	VERB
ejpam-1834	203	7	the	the	DET
ejpam-1834	203	8	local	local	ADJ
ejpam-1834	203	9	langlands	langland	NOUN
ejpam-1834	203	10	groups	group	NOUN
ejpam-1834	203	11	and	and	CCONJ
ejpam-1834	203	12	let	let	VERB
ejpam-1834	203	13	the	the	DET
ejpam-1834	203	14	two	two	NUM
ejpam-1834	203	15	l	l	NOUN
ejpam-1834	203	16	-	-	NOUN
ejpam-1834	203	17	parameters	parameter	NOUN
ejpam-1834	203	18	corresponding	correspond	VERB
ejpam-1834	203	19	to	to	ADP
ejpam-1834	203	20	these	these	DET
ejpam-1834	203	21	groups	group	NOUN
ejpam-1834	203	22	respectively	respectively	ADV
ejpam-1834	203	23	be	be	VERB
ejpam-1834	203	24	φ	φ	NOUN
ejpam-1834	203	25	:	:	PUNCT
ejpam-1834	203	26	wf	wf	PROPN
ejpam-1834	203	27	×	×	PROPN
ejpam-1834	203	28	sl(2,c	sl(2,c	PROPN
ejpam-1834	203	29	)	)	PUNCT
ejpam-1834	203	30	//	//	NOUN
ejpam-1834	204	1	g∨	g∨	PROPN
ejpam-1834	204	2	=	=	SYM
ejpam-1834	204	3	gl2(c	gl2(c	PROPN
ejpam-1834	204	4	)	)	PUNCT
ejpam-1834	204	5	,	,	PUNCT
ejpam-1834	204	6	φ|we	φ|we	ADP
ejpam-1834	204	7	:	:	PUNCT
ejpam-1834	204	8	we	we	PRON
ejpam-1834	204	9	×	×	VERB
ejpam-1834	204	10	sl(2,c	sl(2,c	ADV
ejpam-1834	204	11	)	)	PUNCT
ejpam-1834	204	12	//	//	NOUN
ejpam-1834	205	1	g∨	g∨	PROPN
ejpam-1834	205	2	=	=	SYM
ejpam-1834	205	3	gl2(c	gl2(c	PROPN
ejpam-1834	205	4	)	)	PUNCT
ejpam-1834	205	5	.	.	PUNCT
ejpam-1834	206	1	(	(	PUNCT
ejpam-1834	206	2	i	i	NOUN
ejpam-1834	206	3	)	)	PUNCT
ejpam-1834	206	4	let	let	VERB
ejpam-1834	206	5	φf	φf	PRON
ejpam-1834	206	6	=	=	VERB
ejpam-1834	206	7	ψ⊗	ψ⊗	NOUN
ejpam-1834	206	8	st	st	PROPN
ejpam-1834	206	9	f	f	PROPN
ejpam-1834	206	10	2	2	PROPN
ejpam-1834	206	11	,	,	PUNCT
ejpam-1834	206	12	where	where	SCONJ
ejpam-1834	206	13	ψ	ψ	X
ejpam-1834	206	14	∈	∈	PROPN
ejpam-1834	206	15	ψt(wf	ψt(wf	PROPN
ejpam-1834	206	16	)	)	PUNCT
ejpam-1834	206	17	.	.	PUNCT
ejpam-1834	207	1	since	since	SCONJ
ejpam-1834	207	2	the	the	DET
ejpam-1834	207	3	base	base	NOUN
ejpam-1834	207	4	change	change	NOUN
ejpam-1834	207	5	works	work	VERB
ejpam-1834	207	6	by	by	ADP
ejpam-1834	207	7	restricting	restrict	VERB
ejpam-1834	207	8	the	the	DET
ejpam-1834	207	9	l	l	NOUN
ejpam-1834	207	10	-	-	NOUN
ejpam-1834	207	11	parameter	parameter	NOUN
ejpam-1834	207	12	to	to	ADP
ejpam-1834	207	13	we	we	PRON
ejpam-1834	207	14	and	and	CCONJ
ejpam-1834	207	15	the	the	DET
ejpam-1834	207	16	restriction	restriction	NOUN
ejpam-1834	207	17	is	be	AUX
ejpam-1834	207	18	apply	apply	VERB
ejpam-1834	207	19	only	only	ADV
ejpam-1834	207	20	on	on	ADP
ejpam-1834	207	21	the	the	DET
ejpam-1834	207	22	weil	weil	PROPN
ejpam-1834	207	23	group	group	PROPN
ejpam-1834	207	24	part	part	PROPN
ejpam-1834	207	25	,	,	PUNCT
ejpam-1834	207	26	therefore	therefore	ADV
ejpam-1834	207	27	the	the	DET
ejpam-1834	207	28	base	base	NOUN
ejpam-1834	207	29	change	change	NOUN
ejpam-1834	207	30	of	of	ADP
ejpam-1834	207	31	st	st	PROPN
ejpam-1834	207	32	f	f	PROPN
ejpam-1834	207	33	2	2	PROPN
ejpam-1834	207	34	is	be	AUX
ejpam-1834	207	35	bc(st	bc(st	NOUN
ejpam-1834	207	36	f	f	PROPN
ejpam-1834	207	37	2	2	X
ejpam-1834	207	38	)	)	PUNCT
ejpam-1834	207	39	=	=	VERB
ejpam-1834	207	40	ste	ste	PROPN
ejpam-1834	207	41	2	2	NUM
ejpam-1834	207	42	and	and	CCONJ
ejpam-1834	207	43	hence	hence	ADV
ejpam-1834	207	44	the	the	DET
ejpam-1834	207	45	the	the	DET
ejpam-1834	207	46	base	base	NOUN
ejpam-1834	207	47	change	change	NOUN
ejpam-1834	207	48	works	work	VERB
ejpam-1834	207	49	on	on	ADP
ejpam-1834	207	50	the	the	DET
ejpam-1834	207	51	unitary	unitary	ADJ
ejpam-1834	207	52	twist	twist	NOUN
ejpam-1834	207	53	of	of	ADP
ejpam-1834	207	54	steinberg	steinberg	PROPN
ejpam-1834	207	55	as	as	SCONJ
ejpam-1834	207	56	follows	follow	VERB
ejpam-1834	207	57	:	:	PUNCT
ejpam-1834	207	58	bc(φf	bc(φf	NOUN
ejpam-1834	207	59	)	)	PUNCT
ejpam-1834	208	1	=	=	SYM
ejpam-1834	208	2	φe	φe	INTJ
ejpam-1834	208	3	,	,	PUNCT
ejpam-1834	208	4	bc(ψ⊗	bc(ψ⊗	PROPN
ejpam-1834	208	5	st	st	PROPN
ejpam-1834	208	6	f	f	PROPN
ejpam-1834	208	7	2	2	PROPN
ejpam-1834	208	8	)	)	PUNCT
ejpam-1834	208	9	=	=	SYM
ejpam-1834	209	1	bc(ψ)⊗	bc(ψ)⊗	NOUN
ejpam-1834	209	2	ste	ste	NOUN
ejpam-1834	209	3	2	2	NUM
ejpam-1834	209	4	=	=	SYM
ejpam-1834	209	5	ψ	ψ	X
ejpam-1834	209	6	◦	◦	NOUN
ejpam-1834	209	7	ne	ne	PROPN
ejpam-1834	209	8	/	/	SYM
ejpam-1834	209	9	f	f	PROPN
ejpam-1834	209	10	⊗	⊗	PROPN
ejpam-1834	209	11	ste	ste	PROPN
ejpam-1834	209	12	2	2	NUM
ejpam-1834	209	13	.	.	PUNCT
ejpam-1834	210	1	(	(	PUNCT
ejpam-1834	210	2	ii	ii	NOUN
ejpam-1834	210	3	)	)	PUNCT
ejpam-1834	210	4	let	let	VERB
ejpam-1834	210	5	φf	φf	X
ejpam-1834	210	6	=	=	PUNCT
ejpam-1834	210	7	(	(	PUNCT
ejpam-1834	210	8	ψ1	ψ1	PROPN
ejpam-1834	210	9	⊗	⊗	PROPN
ejpam-1834	210	10	1)⊕	1)⊕	NUM
ejpam-1834	210	11	(	(	PUNCT
ejpam-1834	210	12	ψ2	ψ2	NOUN
ejpam-1834	210	13	⊗	⊗	NOUN
ejpam-1834	210	14	1	1	NUM
ejpam-1834	210	15	)	)	PUNCT
ejpam-1834	210	16	be	be	AUX
ejpam-1834	210	17	the	the	DET
ejpam-1834	210	18	l	l	NOUN
ejpam-1834	210	19	-	-	NOUN
ejpam-1834	210	20	parameter	parameter	NOUN
ejpam-1834	210	21	,	,	PUNCT
ejpam-1834	210	22	where	where	SCONJ
ejpam-1834	210	23	ψ1	ψ1	NOUN
ejpam-1834	210	24	,	,	PUNCT
ejpam-1834	210	25	ψ2	ψ2	NOUN
ejpam-1834	210	26	∈	∈	PROPN
ejpam-1834	210	27	ψt(wf	ψt(wf	PROPN
ejpam-1834	210	28	)	)	PUNCT
ejpam-1834	210	29	then	then	ADV
ejpam-1834	210	30	the	the	DET
ejpam-1834	210	31	base	base	NOUN
ejpam-1834	210	32	change	change	NOUN
ejpam-1834	210	33	map	map	NOUN
ejpam-1834	210	34	works	work	VERB
ejpam-1834	210	35	on	on	ADP
ejpam-1834	210	36	the	the	DET
ejpam-1834	210	37	reducible	reducible	ADJ
ejpam-1834	210	38	principal	principal	ADJ
ejpam-1834	210	39	series	series	NOUN
ejpam-1834	210	40	as	as	SCONJ
ejpam-1834	210	41	follows	follow	VERB
ejpam-1834	210	42	:	:	PUNCT
ejpam-1834	210	43	bc(φf	bc(φf	NOUN
ejpam-1834	210	44	)	)	PUNCT
ejpam-1834	211	1	=	=	PUNCT
ejpam-1834	211	2	φe	φe	ADP
ejpam-1834	211	3	bc(ψ1⊗1⊕ψ2⊗1	bc(ψ1⊗1⊕ψ2⊗1	PROPN
ejpam-1834	211	4	)	)	PUNCT
ejpam-1834	211	5	=	=	SYM
ejpam-1834	211	6	bc(ψ1⊗1)⊕	bc(ψ1⊗1)⊕	NOUN
ejpam-1834	211	7	bc(ψ2⊗1	bc(ψ2⊗1	PROPN
ejpam-1834	211	8	)	)	PUNCT
ejpam-1834	212	1	=	=	SYM
ejpam-1834	212	2	(	(	PUNCT
ejpam-1834	212	3	ψ1	ψ1	NOUN
ejpam-1834	212	4	◦	◦	NOUN
ejpam-1834	212	5	n	n	CCONJ
ejpam-1834	212	6	e	e	NOUN
ejpam-1834	212	7	/	/	SYM
ejpam-1834	212	8	f	f	PROPN
ejpam-1834	212	9	⊗1)⊕	⊗1)⊕	PROPN
ejpam-1834	212	10	(	(	PUNCT
ejpam-1834	212	11	ψ2	ψ2	NOUN
ejpam-1834	212	12	◦	◦	NOUN
ejpam-1834	212	13	n	n	CCONJ
ejpam-1834	212	14	e	e	NOUN
ejpam-1834	212	15	/	/	SYM
ejpam-1834	212	16	f	f	PROPN
ejpam-1834	212	17	⊗1	⊗1	NUM
ejpam-1834	212	18	)	)	PUNCT
ejpam-1834	212	19	.	.	PUNCT
ejpam-1834	213	1	(	(	PUNCT
ejpam-1834	213	2	iii	iii	X
ejpam-1834	213	3	)	)	PUNCT
ejpam-1834	213	4	let	let	VERB
ejpam-1834	213	5	φf	φf	ADP
ejpam-1834	213	6	=	=	PRON
ejpam-1834	213	7	ψσ⊗1	ψσ⊗1	PROPN
ejpam-1834	213	8	,	,	PUNCT
ejpam-1834	213	9	where	where	SCONJ
ejpam-1834	213	10	σ	σ	PROPN
ejpam-1834	213	11	is	be	AUX
ejpam-1834	213	12	irreducible	irreducible	ADJ
ejpam-1834	213	13	representation	representation	NOUN
ejpam-1834	213	14	of	of	ADP
ejpam-1834	213	15	wf	wf	PROPN
ejpam-1834	213	16	and	and	CCONJ
ejpam-1834	213	17	ψ	ψ	X
ejpam-1834	213	18	∈ψt(wf	∈ψt(wf	PROPN
ejpam-1834	213	19	)	)	PUNCT
ejpam-1834	213	20	.	.	PUNCT
ejpam-1834	214	1	(	(	PUNCT
ejpam-1834	214	2	a	a	X
ejpam-1834	214	3	)	)	PUNCT
ejpam-1834	214	4	if	if	SCONJ
ejpam-1834	214	5	the	the	DET
ejpam-1834	214	6	l	l	NOUN
ejpam-1834	214	7	-	-	NOUN
ejpam-1834	214	8	parameter	parameter	NOUN
ejpam-1834	214	9	φe	φe	INTJ
ejpam-1834	214	10	remains	remain	VERB
ejpam-1834	214	11	irreducible	irreducible	ADJ
ejpam-1834	214	12	after	after	ADP
ejpam-1834	214	13	restriction	restriction	NOUN
ejpam-1834	214	14	,	,	PUNCT
ejpam-1834	214	15	then	then	ADV
ejpam-1834	214	16	this	this	PRON
ejpam-1834	214	17	determines	determine	VERB
ejpam-1834	214	18	a	a	DET
ejpam-1834	214	19	cuspidal	cuspidal	NOUN
ejpam-1834	214	20	representation	representation	NOUN
ejpam-1834	214	21	of	of	ADP
ejpam-1834	214	22	gl(2	gl(2	PROPN
ejpam-1834	214	23	,	,	PUNCT
ejpam-1834	214	24	e	e	NOUN
ejpam-1834	214	25	)	)	PUNCT
ejpam-1834	214	26	.	.	PUNCT
ejpam-1834	215	1	base	base	NOUN
ejpam-1834	215	2	change	change	NOUN
ejpam-1834	215	3	in	in	ADP
ejpam-1834	215	4	this	this	DET
ejpam-1834	215	5	case	case	NOUN
ejpam-1834	215	6	will	will	AUX
ejpam-1834	215	7	send	send	VERB
ejpam-1834	215	8	one	one	NUM
ejpam-1834	215	9	cuspidal	cuspidal	NOUN
ejpam-1834	215	10	representation	representation	NOUN
ejpam-1834	215	11	of	of	ADP
ejpam-1834	215	12	gl(2	gl(2	PROPN
ejpam-1834	215	13	,	,	PUNCT
ejpam-1834	215	14	f	f	PROPN
ejpam-1834	215	15	)	)	PUNCT
ejpam-1834	215	16	to	to	ADP
ejpam-1834	215	17	a	a	DET
ejpam-1834	215	18	cuspidal	cuspidal	NOUN
ejpam-1834	215	19	representation	representation	NOUN
ejpam-1834	215	20	of	of	ADP
ejpam-1834	215	21	gl(2	gl(2	PROPN
ejpam-1834	215	22	,	,	PUNCT
ejpam-1834	215	23	e	e	NOUN
ejpam-1834	215	24	)	)	PUNCT
ejpam-1834	215	25	.	.	PUNCT
ejpam-1834	216	1	therefore	therefore	ADV
ejpam-1834	216	2	,	,	PUNCT
ejpam-1834	216	3	the	the	DET
ejpam-1834	216	4	map	map	NOUN
ejpam-1834	216	5	bc	bc	PROPN
ejpam-1834	216	6	works	work	NOUN
ejpam-1834	216	7	as	as	SCONJ
ejpam-1834	216	8	follows	follow	VERB
ejpam-1834	216	9	:	:	PUNCT
ejpam-1834	216	10	bc(φf	bc(φf	NOUN
ejpam-1834	216	11	)	)	PUNCT
ejpam-1834	217	1	=	=	PUNCT
ejpam-1834	217	2	φe	φe	ADP
ejpam-1834	217	3	bc(ψσ⊗1	bc(ψσ⊗1	PROPN
ejpam-1834	217	4	)	)	PUNCT
ejpam-1834	218	1	=	=	SYM
ejpam-1834	218	2	bc(ψ)σ∗⊗1	bc(ψ)σ∗⊗1	X
ejpam-1834	218	3	=	=	SYM
ejpam-1834	218	4	ψ	ψ	X
ejpam-1834	218	5	◦	◦	NOUN
ejpam-1834	218	6	ne	ne	PROPN
ejpam-1834	218	7	/	/	SYM
ejpam-1834	218	8	fσ	fσ	NOUN
ejpam-1834	218	9	∗⊗1	∗⊗1	NOUN
ejpam-1834	218	10	.	.	PUNCT
ejpam-1834	219	1	(	(	PUNCT
ejpam-1834	219	2	b	b	X
ejpam-1834	219	3	)	)	PUNCT
ejpam-1834	219	4	if	if	SCONJ
ejpam-1834	219	5	the	the	DET
ejpam-1834	219	6	l	l	NOUN
ejpam-1834	219	7	-	-	NOUN
ejpam-1834	219	8	parameter	parameter	NOUN
ejpam-1834	219	9	φe	φe	INTJ
ejpam-1834	219	10	is	be	AUX
ejpam-1834	219	11	reducible	reducible	ADJ
ejpam-1834	219	12	after	after	ADP
ejpam-1834	219	13	restriction	restriction	NOUN
ejpam-1834	219	14	,	,	PUNCT
ejpam-1834	219	15	then	then	ADV
ejpam-1834	219	16	this	this	DET
ejpam-1834	219	17	representation	representation	NOUN
ejpam-1834	219	18	split	split	VERB
ejpam-1834	219	19	into	into	ADP
ejpam-1834	219	20	two	two	NUM
ejpam-1834	219	21	one	one	NUM
ejpam-1834	219	22	-	-	PUNCT
ejpam-1834	219	23	dimensional	dimensional	ADJ
ejpam-1834	219	24	representations	representation	NOUN
ejpam-1834	219	25	say	say	VERB
ejpam-1834	219	26	σ1	σ1	NOUN
ejpam-1834	219	27	and	and	CCONJ
ejpam-1834	219	28	σ2	σ2	PROPN
ejpam-1834	219	29	.	.	PUNCT
ejpam-1834	220	1	this	this	PRON
ejpam-1834	220	2	means	mean	VERB
ejpam-1834	220	3	that	that	SCONJ
ejpam-1834	220	4	the	the	DET
ejpam-1834	220	5	restriction	restriction	NOUN
ejpam-1834	220	6	of	of	ADP
ejpam-1834	220	7	the	the	DET
ejpam-1834	220	8	cuspidal	cuspidal	NOUN
ejpam-1834	220	9	representation	representation	NOUN
ejpam-1834	220	10	is	be	AUX
ejpam-1834	220	11	a	a	DET
ejpam-1834	220	12	principal	principal	ADJ
ejpam-1834	220	13	series	series	NOUN
ejpam-1834	220	14	.	.	PUNCT
ejpam-1834	221	1	therefore	therefore	ADV
ejpam-1834	221	2	,	,	PUNCT
ejpam-1834	221	3	the	the	DET
ejpam-1834	221	4	map	map	NOUN
ejpam-1834	221	5	bc	bc	PROPN
ejpam-1834	221	6	works	work	NOUN
ejpam-1834	221	7	as	as	SCONJ
ejpam-1834	221	8	follows	follow	VERB
ejpam-1834	221	9	:	:	PUNCT
ejpam-1834	221	10	bc(φf	bc(φf	NOUN
ejpam-1834	221	11	)	)	PUNCT
ejpam-1834	222	1	=	=	PUNCT
ejpam-1834	222	2	φe	φe	ADP
ejpam-1834	222	3	bc(ψσ⊗1	bc(ψσ⊗1	PROPN
ejpam-1834	222	4	)	)	PUNCT
ejpam-1834	223	1	=	=	NOUN
ejpam-1834	223	2	ψ	ψ	X
ejpam-1834	223	3	◦	◦	NOUN
ejpam-1834	223	4	ne	ne	PROPN
ejpam-1834	223	5	/	/	SYM
ejpam-1834	223	6	f	f	PROPN
ejpam-1834	223	7	(	(	PUNCT
ejpam-1834	223	8	σ1⊕σ2)⊗1	σ1⊕σ2)⊗1	PROPN
ejpam-1834	223	9	.	.	PUNCT
ejpam-1834	224	1	in	in	ADP
ejpam-1834	224	2	fact	fact	NOUN
ejpam-1834	224	3	,	,	PUNCT
ejpam-1834	224	4	if	if	SCONJ
ejpam-1834	224	5	π	π	PROPN
ejpam-1834	224	6	is	be	AUX
ejpam-1834	224	7	any	any	DET
ejpam-1834	224	8	irreducible	irreducible	ADJ
ejpam-1834	224	9	admissible	admissible	ADJ
ejpam-1834	224	10	representation	representation	NOUN
ejpam-1834	224	11	of	of	ADP
ejpam-1834	224	12	gl(2	gl(2	PROPN
ejpam-1834	224	13	,	,	PUNCT
ejpam-1834	224	14	f	f	PROPN
ejpam-1834	224	15	)	)	PUNCT
ejpam-1834	224	16	then	then	ADV
ejpam-1834	224	17	one	one	PRON
ejpam-1834	224	18	can	can	AUX
ejpam-1834	224	19	find	find	VERB
ejpam-1834	224	20	an	an	DET
ejpam-1834	224	21	extension	extension	NOUN
ejpam-1834	224	22	e	e	NOUN
ejpam-1834	224	23	/	/	SYM
ejpam-1834	224	24	f	f	PROPN
ejpam-1834	224	25	such	such	ADJ
ejpam-1834	224	26	that	that	PRON
ejpam-1834	224	27	bc(π	bc(π	PUNCT
ejpam-1834	224	28	)	)	PUNCT
ejpam-1834	224	29	is	be	AUX
ejpam-1834	224	30	either	either	CCONJ
ejpam-1834	224	31	unramified	unramifie	VERB
ejpam-1834	224	32	or	or	CCONJ
ejpam-1834	224	33	steinberg	steinberg	PROPN
ejpam-1834	224	34	.	.	PUNCT
ejpam-1834	225	1	w.	w.	PROPN
ejpam-1834	225	2	aeal	aeal	PROPN
ejpam-1834	225	3	/	/	SYM
ejpam-1834	225	4	eur	eur	PROPN
ejpam-1834	225	5	.	.	PUNCT
ejpam-1834	226	1	j.	j.	PROPN
ejpam-1834	226	2	pure	pure	PROPN
ejpam-1834	226	3	appl	appl	PROPN
ejpam-1834	226	4	.	.	PROPN
ejpam-1834	226	5	math	math	PROPN
ejpam-1834	226	6	,	,	PUNCT
ejpam-1834	226	7	6	6	NUM
ejpam-1834	226	8	(	(	PUNCT
ejpam-1834	226	9	2013	2013	NUM
ejpam-1834	226	10	)	)	PUNCT
ejpam-1834	226	11	,	,	PUNCT
ejpam-1834	226	12	282	282	NUM
ejpam-1834	226	13	-	-	SYM
ejpam-1834	226	14	298	298	NUM
ejpam-1834	226	15	290	290	NUM
ejpam-1834	226	16	3	3	NUM
ejpam-1834	226	17	.	.	PUNCT
ejpam-1834	227	1	k	k	X
ejpam-1834	227	2	-	-	NOUN
ejpam-1834	227	3	theory	theory	NOUN
ejpam-1834	227	4	for	for	ADP
ejpam-1834	227	5	gl(2	gl(2	PROPN
ejpam-1834	227	6	)	)	PUNCT
ejpam-1834	227	7	let	let	VERB
ejpam-1834	227	8	f	f	PRON
ejpam-1834	227	9	be	be	AUX
ejpam-1834	227	10	a	a	DET
ejpam-1834	227	11	non	non	ADJ
ejpam-1834	227	12	-	-	ADJ
ejpam-1834	227	13	archimedean	archimedean	ADJ
ejpam-1834	227	14	local	local	ADJ
ejpam-1834	227	15	field	field	NOUN
ejpam-1834	227	16	with	with	ADP
ejpam-1834	227	17	characteristic	characteristic	ADJ
ejpam-1834	227	18	0	0	PUNCT
ejpam-1834	228	1	and	and	CCONJ
ejpam-1834	228	2	p	p	X
ejpam-1834	228	3	6=	6=	PROPN
ejpam-1834	228	4	2	2	NUM
ejpam-1834	228	5	.	.	X
ejpam-1834	228	6	such	such	DET
ejpam-1834	228	7	a	a	DET
ejpam-1834	228	8	field	field	NOUN
ejpam-1834	228	9	has	have	VERB
ejpam-1834	228	10	a	a	DET
ejpam-1834	228	11	norm	norm	NOUN
ejpam-1834	228	12	,	,	PUNCT
ejpam-1834	228	13	denoted	denote	VERB
ejpam-1834	228	14	by	by	ADP
ejpam-1834	228	15	modf	modf	NOUN
ejpam-1834	228	16	[	[	X
ejpam-1834	228	17	19	19	NUM
ejpam-1834	228	18	]	]	PUNCT
ejpam-1834	228	19	.	.	PUNCT
ejpam-1834	229	1	the	the	DET
ejpam-1834	229	2	representations	representation	NOUN
ejpam-1834	229	3	in	in	ADP
ejpam-1834	229	4	gl(2	gl(2	PROPN
ejpam-1834	229	5	,	,	PUNCT
ejpam-1834	229	6	f	f	PROPN
ejpam-1834	229	7	)	)	PUNCT
ejpam-1834	229	8	can	can	AUX
ejpam-1834	229	9	be	be	AUX
ejpam-1834	229	10	view	view	NOUN
ejpam-1834	229	11	as	as	ADP
ejpam-1834	229	12	a	a	DET
ejpam-1834	229	13	one	one	NUM
ejpam-1834	229	14	of	of	ADP
ejpam-1834	229	15	the	the	DET
ejpam-1834	229	16	following	following	NOUN
ejpam-1834	229	17	:	:	PUNCT
ejpam-1834	229	18	(	(	PUNCT
ejpam-1834	229	19	i	i	NOUN
ejpam-1834	229	20	)	)	PUNCT
ejpam-1834	229	21	the	the	DET
ejpam-1834	229	22	irreducible	irreducible	ADJ
ejpam-1834	229	23	admissible	admissible	ADJ
ejpam-1834	229	24	representations	representation	NOUN
ejpam-1834	229	25	of	of	ADP
ejpam-1834	229	26	g	g	NOUN
ejpam-1834	229	27	fall	fall	NOUN
ejpam-1834	229	28	into	into	ADP
ejpam-1834	229	29	three	three	NUM
ejpam-1834	229	30	classes	class	NOUN
ejpam-1834	229	31	:	:	PUNCT
ejpam-1834	229	32	principal	principal	ADJ
ejpam-1834	229	33	series	series	NOUN
ejpam-1834	229	34	,	,	PUNCT
ejpam-1834	229	35	twists	twist	NOUN
ejpam-1834	229	36	of	of	ADP
ejpam-1834	229	37	steinberg	steinberg	PROPN
ejpam-1834	229	38	and	and	CCONJ
ejpam-1834	229	39	cuspidal	cuspidal	NOUN
ejpam-1834	229	40	.	.	PUNCT
ejpam-1834	230	1	(	(	PUNCT
ejpam-1834	230	2	ii	ii	NOUN
ejpam-1834	230	3	)	)	PUNCT
ejpam-1834	230	4	the	the	DET
ejpam-1834	230	5	unramified	unramifie	VERB
ejpam-1834	230	6	representations	representation	NOUN
ejpam-1834	230	7	of	of	ADP
ejpam-1834	230	8	g	g	NOUN
ejpam-1834	230	9	are	be	AUX
ejpam-1834	230	10	exactly	exactly	ADV
ejpam-1834	230	11	the	the	DET
ejpam-1834	230	12	principal	principal	ADJ
ejpam-1834	230	13	series	series	NOUN
ejpam-1834	230	14	representations	representation	NOUN
ejpam-1834	230	15	coming	come	VERB
ejpam-1834	230	16	from	from	ADP
ejpam-1834	230	17	unramified	unramifie	VERB
ejpam-1834	230	18	characters	character	NOUN
ejpam-1834	230	19	.	.	PUNCT
ejpam-1834	231	1	these	these	PRON
ejpam-1834	231	2	are	be	AUX
ejpam-1834	231	3	parameterized	parameterize	VERB
ejpam-1834	231	4	by	by	ADP
ejpam-1834	231	5	(	(	PUNCT
ejpam-1834	231	6	unordered	unordered	ADJ
ejpam-1834	231	7	)	)	PUNCT
ejpam-1834	231	8	pairs	pair	NOUN
ejpam-1834	231	9	of	of	ADP
ejpam-1834	231	10	complex	complex	ADJ
ejpam-1834	231	11	numbers	number	NOUN
ejpam-1834	231	12	.	.	PUNCT
ejpam-1834	232	1	let	let	VERB
ejpam-1834	232	2	e	e	PRON
ejpam-1834	232	3	/	/	SYM
ejpam-1834	232	4	f	f	AUX
ejpam-1834	232	5	be	be	AUX
ejpam-1834	232	6	a	a	DET
ejpam-1834	232	7	finite	finite	ADJ
ejpam-1834	232	8	galois	galois	PROPN
ejpam-1834	232	9	extension	extension	NOUN
ejpam-1834	232	10	,	,	PUNCT
ejpam-1834	232	11	and	and	CCONJ
ejpam-1834	232	12	let	let	VERB
ejpam-1834	232	13	the	the	DET
ejpam-1834	232	14	corresponding	correspond	VERB
ejpam-1834	232	15	weil	weil	PROPN
ejpam-1834	232	16	groups	group	NOUN
ejpam-1834	232	17	be	be	AUX
ejpam-1834	232	18	denoted	denote	VERB
ejpam-1834	232	19	we	we	PRON
ejpam-1834	232	20	,	,	PUNCT
ejpam-1834	232	21	wf	wf	PROPN
ejpam-1834	232	22	.	.	PUNCT
ejpam-1834	233	1	let	let	VERB
ejpam-1834	233	2	t	t	PROPN
ejpam-1834	233	3	denote	denote	VERB
ejpam-1834	233	4	the	the	DET
ejpam-1834	233	5	circle	circle	NOUN
ejpam-1834	233	6	group	group	NOUN
ejpam-1834	233	7	t=	t=	PRON
ejpam-1834	233	8	{	{	PUNCT
ejpam-1834	233	9	z	z	NOUN
ejpam-1834	233	10	∈	∈	PROPN
ejpam-1834	234	1	c	c	NOUN
ejpam-1834	234	2	:|	:|	PUNCT
ejpam-1834	234	3	z	z	NOUN
ejpam-1834	234	4	|=	|=	VERB
ejpam-1834	234	5	1	1	NUM
ejpam-1834	234	6	}	}	PUNCT
ejpam-1834	234	7	and	and	CCONJ
ejpam-1834	234	8	let	let	VERB
ejpam-1834	234	9	ψt(wf	ψt(wf	PROPN
ejpam-1834	234	10	)	)	PUNCT
ejpam-1834	234	11	denote	denote	VERB
ejpam-1834	234	12	the	the	DET
ejpam-1834	234	13	group	group	NOUN
ejpam-1834	234	14	of	of	ADP
ejpam-1834	234	15	unramified	unramifie	VERB
ejpam-1834	234	16	unitary	unitary	ADJ
ejpam-1834	234	17	characters	character	NOUN
ejpam-1834	234	18	of	of	ADP
ejpam-1834	234	19	wf	wf	PROPN
ejpam-1834	234	20	.	.	PUNCT
ejpam-1834	235	1	then	then	ADV
ejpam-1834	235	2	we	we	PRON
ejpam-1834	235	3	have	have	VERB
ejpam-1834	235	4	ψt(wf	ψt(wf	X
ejpam-1834	235	5	)	)	PUNCT
ejpam-1834	235	6	∼=	∼=	NOUN
ejpam-1834	235	7	t	t	PROPN
ejpam-1834	235	8	,	,	PUNCT
ejpam-1834	235	9	ψ	ψ	NOUN
ejpam-1834	235	10	7→ψ($	7→ψ($	NUM
ejpam-1834	235	11	)	)	PUNCT
ejpam-1834	235	12	where	where	SCONJ
ejpam-1834	235	13	$	$	SYM
ejpam-1834	235	14	f	f	NOUN
ejpam-1834	235	15	is	be	AUX
ejpam-1834	235	16	a	a	DET
ejpam-1834	235	17	uniformizer	uniformizer	NOUN
ejpam-1834	235	18	in	in	ADP
ejpam-1834	235	19	f	f	PROPN
ejpam-1834	235	20	.	.	PUNCT
ejpam-1834	236	1	now	now	ADV
ejpam-1834	236	2	,	,	PUNCT
ejpam-1834	236	3	letlf	letlf	ADV
ejpam-1834	236	4	denote	denote	VERB
ejpam-1834	236	5	the	the	DET
ejpam-1834	236	6	local	local	ADJ
ejpam-1834	236	7	langlands	langland	NOUN
ejpam-1834	236	8	group	group	NOUN
ejpam-1834	236	9	:	:	PUNCT
ejpam-1834	236	10	lf	lf	ADP
ejpam-1834	236	11	:	:	PUNCT
ejpam-1834	236	12	=	=	NOUN
ejpam-1834	236	13	wf	wf	PROPN
ejpam-1834	236	14	×sl(2,c	×sl(2,c	PROPN
ejpam-1834	236	15	)	)	PUNCT
ejpam-1834	236	16	.	.	PUNCT
ejpam-1834	237	1	a	a	DET
ejpam-1834	237	2	langlands	langland	NOUN
ejpam-1834	237	3	parameter	parameter	NOUN
ejpam-1834	237	4	(	(	PUNCT
ejpam-1834	237	5	or	or	CCONJ
ejpam-1834	237	6	l	l	NOUN
ejpam-1834	237	7	-	-	NOUN
ejpam-1834	237	8	parameter	parameter	NOUN
ejpam-1834	237	9	)	)	PUNCT
ejpam-1834	237	10	is	be	AUX
ejpam-1834	237	11	a	a	DET
ejpam-1834	237	12	continuous	continuous	ADJ
ejpam-1834	237	13	homomorphism	homomorphism	NOUN
ejpam-1834	237	14	φ	φ	X
ejpam-1834	237	15	:	:	PUNCT
ejpam-1834	237	16	lf	lf	PROPN
ejpam-1834	237	17	→	→	SYM
ejpam-1834	237	18	gl(2,c	gl(2,c	NOUN
ejpam-1834	237	19	)	)	PUNCT
ejpam-1834	237	20	,	,	PUNCT
ejpam-1834	237	21	(	(	PUNCT
ejpam-1834	237	22	gl(2,c	gl(2,c	NOUN
ejpam-1834	237	23	)	)	PUNCT
ejpam-1834	237	24	is	be	AUX
ejpam-1834	237	25	given	give	VERB
ejpam-1834	237	26	the	the	DET
ejpam-1834	237	27	discrete	discrete	ADJ
ejpam-1834	237	28	topology	topology	NOUN
ejpam-1834	237	29	)	)	PUNCT
ejpam-1834	237	30	such	such	ADJ
ejpam-1834	237	31	thatφ(φf	thatφ(φf	NOUN
ejpam-1834	237	32	)	)	PUNCT
ejpam-1834	237	33	is	be	AUX
ejpam-1834	237	34	semisimple	semisimple	ADJ
ejpam-1834	237	35	,	,	PUNCT
ejpam-1834	237	36	where	where	SCONJ
ejpam-1834	237	37	φf	φf	PRON
ejpam-1834	237	38	is	be	AUX
ejpam-1834	237	39	a	a	DET
ejpam-1834	237	40	geometric	geometric	ADJ
ejpam-1834	237	41	frobenius	frobenius	NOUN
ejpam-1834	237	42	in	in	ADP
ejpam-1834	237	43	wf	wf	PROPN
ejpam-1834	237	44	.	.	PUNCT
ejpam-1834	238	1	two	two	NUM
ejpam-1834	238	2	langlands	langland	NOUN
ejpam-1834	238	3	parameters	parameter	NOUN
ejpam-1834	238	4	are	be	AUX
ejpam-1834	238	5	equivalent	equivalent	ADJ
ejpam-1834	238	6	if	if	SCONJ
ejpam-1834	238	7	they	they	PRON
ejpam-1834	238	8	are	be	AUX
ejpam-1834	238	9	conjugate	conjugate	ADJ
ejpam-1834	238	10	under	under	ADP
ejpam-1834	238	11	gl(2,c	gl(2,c	NOUN
ejpam-1834	238	12	)	)	PUNCT
ejpam-1834	238	13	.	.	PUNCT
ejpam-1834	239	1	the	the	DET
ejpam-1834	239	2	set	set	NOUN
ejpam-1834	239	3	of	of	ADP
ejpam-1834	239	4	equivalence	equivalence	NOUN
ejpam-1834	239	5	classes	class	NOUN
ejpam-1834	239	6	of	of	ADP
ejpam-1834	239	7	langlands	langland	NOUN
ejpam-1834	239	8	parameters	parameter	NOUN
ejpam-1834	239	9	is	be	AUX
ejpam-1834	239	10	denoted	denote	VERB
ejpam-1834	239	11	by	by	ADP
ejpam-1834	239	12	φ(gl(2	φ(gl(2	NOUN
ejpam-1834	239	13	)	)	PUNCT
ejpam-1834	239	14	)	)	PUNCT
ejpam-1834	239	15	.	.	PUNCT
ejpam-1834	240	1	now	now	ADV
ejpam-1834	240	2	the	the	DET
ejpam-1834	240	3	base	base	NOUN
ejpam-1834	240	4	change	change	NOUN
ejpam-1834	240	5	is	be	AUX
ejpam-1834	240	6	defined	define	VERB
ejpam-1834	240	7	by	by	ADP
ejpam-1834	240	8	the	the	DET
ejpam-1834	240	9	restriction	restriction	NOUN
ejpam-1834	240	10	of	of	ADP
ejpam-1834	240	11	l	l	NOUN
ejpam-1834	240	12	-	-	NOUN
ejpam-1834	240	13	parameter	parameter	NOUN
ejpam-1834	240	14	from	from	ADP
ejpam-1834	240	15	lf	lf	NOUN
ejpam-1834	240	16	to	to	PART
ejpam-1834	240	17	le	le	X
ejpam-1834	240	18	.	.	PUNCT
ejpam-1834	241	1	consider	consider	VERB
ejpam-1834	241	2	first	first	ADV
ejpam-1834	241	3	the	the	DET
ejpam-1834	241	4	single	single	ADJ
ejpam-1834	241	5	l	l	NOUN
ejpam-1834	241	6	-	-	NOUN
ejpam-1834	241	7	parameter	parameter	NOUN
ejpam-1834	241	8	φ	φ	NOUN
ejpam-1834	241	9	=	=	SYM
ejpam-1834	241	10	ρ⊗τ	ρ⊗τ	PROPN
ejpam-1834	241	11	(	(	PUNCT
ejpam-1834	241	12	j1)⊕ρ⊗τ	j1)⊕ρ⊗τ	PROPN
ejpam-1834	241	13	(	(	PUNCT
ejpam-1834	241	14	j2	j2	PROPN
ejpam-1834	241	15	)	)	PUNCT
ejpam-1834	241	16	.	.	PUNCT
ejpam-1834	242	1	in	in	ADP
ejpam-1834	242	2	this	this	DET
ejpam-1834	242	3	formula	formula	NOUN
ejpam-1834	242	4	,	,	PUNCT
ejpam-1834	242	5	ρ	ρ	PROPN
ejpam-1834	242	6	is	be	AUX
ejpam-1834	242	7	an	an	DET
ejpam-1834	242	8	irreducible	irreducible	ADJ
ejpam-1834	242	9	representation	representation	NOUN
ejpam-1834	242	10	of	of	ADP
ejpam-1834	242	11	wf	wf	PROPN
ejpam-1834	242	12	,	,	PUNCT
ejpam-1834	242	13	τ	τ	PROPN
ejpam-1834	242	14	(	(	PUNCT
ejpam-1834	242	15	j	j	NOUN
ejpam-1834	242	16	)	)	PUNCT
ejpam-1834	242	17	is	be	AUX
ejpam-1834	242	18	the	the	DET
ejpam-1834	242	19	j	j	PROPN
ejpam-1834	242	20	-	-	ADJ
ejpam-1834	242	21	dimensional	dimensional	ADJ
ejpam-1834	242	22	complex	complex	ADJ
ejpam-1834	242	23	representation	representation	NOUN
ejpam-1834	242	24	of	of	ADP
ejpam-1834	242	25	sl(2,c	sl(2,c	NOUN
ejpam-1834	242	26	)	)	PUNCT
ejpam-1834	242	27	.	.	PUNCT
ejpam-1834	243	1	we	we	PRON
ejpam-1834	243	2	define	define	VERB
ejpam-1834	243	3	the	the	DET
ejpam-1834	243	4	compact	compact	ADJ
ejpam-1834	243	5	orbit	orbit	NOUN
ejpam-1834	243	6	of	of	ADP
ejpam-1834	243	7	φ	φ	PROPN
ejpam-1834	243	8	as	as	SCONJ
ejpam-1834	243	9	follows	follow	VERB
ejpam-1834	243	10	:	:	PUNCT
ejpam-1834	243	11	ot(φ	ot(φ	PUNCT
ejpam-1834	243	12	)	)	PUNCT
ejpam-1834	244	1	=	=	PRON
ejpam-1834	244	2	{	{	PUNCT
ejpam-1834	244	3	2	2	NUM
ejpam-1834	244	4	⊕	⊕	PROPN
ejpam-1834	244	5	r=1	r=1	NOUN
ejpam-1834	244	6	ψr	ψr	ADP
ejpam-1834	244	7	⊗ρ⊗τ	⊗ρ⊗τ	PROPN
ejpam-1834	244	8	(	(	PUNCT
ejpam-1834	244	9	jr	jr	PROPN
ejpam-1834	244	10	)	)	PUNCT
ejpam-1834	244	11	:	:	PUNCT
ejpam-1834	244	12	ψr	ψr	ADP
ejpam-1834	244	13	∈ψt(wf	∈ψt(wf	PROPN
ejpam-1834	244	14	)	)	PUNCT
ejpam-1834	244	15	,	,	PUNCT
ejpam-1834	244	16	1≤	1≤	NUM
ejpam-1834	244	17	r	r	NOUN
ejpam-1834	244	18	≤	≤	NUM
ejpam-1834	244	19	2}/∼	2}/∼	NUM
ejpam-1834	244	20	,	,	PUNCT
ejpam-1834	244	21	where	where	SCONJ
ejpam-1834	244	22	as	as	ADP
ejpam-1834	244	23	before	before	ADV
ejpam-1834	244	24	,	,	PUNCT
ejpam-1834	244	25	∼	∼	NOUN
ejpam-1834	244	26	denotes	denote	NOUN
ejpam-1834	244	27	the	the	DET
ejpam-1834	244	28	equivalence	equivalence	NOUN
ejpam-1834	244	29	relation	relation	NOUN
ejpam-1834	244	30	of	of	ADP
ejpam-1834	244	31	conjugacy	conjugacy	PROPN
ejpam-1834	244	32	in	in	ADP
ejpam-1834	244	33	gl(2,c	gl(2,c	NOUN
ejpam-1834	244	34	)	)	PUNCT
ejpam-1834	244	35	.	.	PUNCT
ejpam-1834	245	1	each	each	DET
ejpam-1834	245	2	partition	partition	NOUN
ejpam-1834	245	3	j1	j1	PROPN
ejpam-1834	245	4	+	+	CCONJ
ejpam-1834	245	5	j2	j2	NOUN
ejpam-1834	245	6	=	=	SYM
ejpam-1834	245	7	2	2	NUM
ejpam-1834	245	8	determines	determine	VERB
ejpam-1834	245	9	an	an	DET
ejpam-1834	245	10	orbit	orbit	NOUN
ejpam-1834	245	11	.	.	PUNCT
ejpam-1834	246	1	the	the	DET
ejpam-1834	246	2	disjoint	disjoint	PROPN
ejpam-1834	246	3	union	union	NOUN
ejpam-1834	246	4	of	of	ADP
ejpam-1834	246	5	these	these	DET
ejpam-1834	246	6	orbits	orbit	NOUN
ejpam-1834	246	7	,	,	PUNCT
ejpam-1834	246	8	one	one	NUM
ejpam-1834	246	9	of	of	ADP
ejpam-1834	246	10	each	each	DET
ejpam-1834	246	11	partition	partition	NOUN
ejpam-1834	246	12	of	of	ADP
ejpam-1834	246	13	2	2	NUM
ejpam-1834	246	14	,	,	PUNCT
ejpam-1834	246	15	creates	create	VERB
ejpam-1834	246	16	a	a	DET
ejpam-1834	246	17	complex	complex	ADJ
ejpam-1834	246	18	affine	affine	NOUN
ejpam-1834	246	19	algebraic	algebraic	ADJ
ejpam-1834	246	20	variety	variety	NOUN
ejpam-1834	246	21	with	with	ADP
ejpam-1834	246	22	finitely	finitely	ADV
ejpam-1834	246	23	many	many	ADJ
ejpam-1834	246	24	irreducible	irreducible	ADJ
ejpam-1834	246	25	components	component	NOUN
ejpam-1834	246	26	.	.	PUNCT
ejpam-1834	247	1	this	this	DET
ejpam-1834	247	2	variety	variety	NOUN
ejpam-1834	247	3	is	be	AUX
ejpam-1834	247	4	smooth	smooth	ADJ
ejpam-1834	247	5	by	by	ADP
ejpam-1834	247	6	[	[	X
ejpam-1834	247	7	4	4	NUM
ejpam-1834	247	8	]	]	PUNCT
ejpam-1834	247	9	.	.	PUNCT
ejpam-1834	248	1	also	also	ADV
ejpam-1834	248	2	,	,	PUNCT
ejpam-1834	248	3	let	let	VERB
ejpam-1834	248	4	g	g	PROPN
ejpam-1834	248	5	0	0	NUM
ejpam-1834	248	6	2	2	NUM
ejpam-1834	248	7	(	(	PUNCT
ejpam-1834	248	8	f	f	X
ejpam-1834	248	9	)	)	PUNCT
ejpam-1834	248	10	be	be	AUX
ejpam-1834	248	11	the	the	DET
ejpam-1834	248	12	set	set	NOUN
ejpam-1834	248	13	of	of	ADP
ejpam-1834	248	14	equivalence	equivalence	NOUN
ejpam-1834	248	15	classes	class	NOUN
ejpam-1834	248	16	of	of	ADP
ejpam-1834	248	17	irreducible	irreducible	ADJ
ejpam-1834	248	18	2	2	NUM
ejpam-1834	248	19	-	-	PUNCT
ejpam-1834	248	20	dimensional	dimensional	ADJ
ejpam-1834	248	21	smooth	smooth	ADJ
ejpam-1834	248	22	(	(	PUNCT
ejpam-1834	248	23	complex	complex	ADJ
ejpam-1834	248	24	)	)	PUNCT
ejpam-1834	248	25	representations	representation	NOUN
ejpam-1834	248	26	of	of	ADP
ejpam-1834	248	27	wf	wf	PROPN
ejpam-1834	248	28	.	.	PUNCT
ejpam-1834	249	1	let	let	VERB
ejpam-1834	249	2	a	a	DET
ejpam-1834	249	3	0	0	NUM
ejpam-1834	249	4	2	2	NUM
ejpam-1834	249	5	(	(	PUNCT
ejpam-1834	249	6	f	f	X
ejpam-1834	249	7	)	)	PUNCT
ejpam-1834	249	8	be	be	AUX
ejpam-1834	249	9	the	the	DET
ejpam-1834	249	10	subset	subset	NOUN
ejpam-1834	249	11	of	of	ADP
ejpam-1834	249	12	a	a	DET
ejpam-1834	249	13	t	t	NOUN
ejpam-1834	249	14	2	2	NUM
ejpam-1834	249	15	(	(	PUNCT
ejpam-1834	249	16	f	f	X
ejpam-1834	249	17	)	)	PUNCT
ejpam-1834	249	18	consisting	consist	VERB
ejpam-1834	249	19	of	of	ADP
ejpam-1834	249	20	equivalence	equivalence	NOUN
ejpam-1834	249	21	w.	w.	PROPN
ejpam-1834	249	22	aeal	aeal	PROPN
ejpam-1834	249	23	/	/	SYM
ejpam-1834	249	24	eur	eur	PROPN
ejpam-1834	249	25	.	.	PUNCT
ejpam-1834	250	1	j.	j.	PROPN
ejpam-1834	250	2	pure	pure	PROPN
ejpam-1834	250	3	appl	appl	PROPN
ejpam-1834	250	4	.	.	PROPN
ejpam-1834	250	5	math	math	PROPN
ejpam-1834	250	6	,	,	PUNCT
ejpam-1834	250	7	6	6	NUM
ejpam-1834	250	8	(	(	PUNCT
ejpam-1834	250	9	2013	2013	NUM
ejpam-1834	250	10	)	)	PUNCT
ejpam-1834	250	11	,	,	PUNCT
ejpam-1834	250	12	282	282	NUM
ejpam-1834	250	13	-	-	SYM
ejpam-1834	250	14	298	298	NUM
ejpam-1834	250	15	291	291	NUM
ejpam-1834	250	16	classes	class	NOUN
ejpam-1834	250	17	of	of	ADP
ejpam-1834	250	18	irreducible	irreducible	ADJ
ejpam-1834	250	19	cuspidal	cuspidal	NOUN
ejpam-1834	250	20	representations	representation	NOUN
ejpam-1834	250	21	of	of	ADP
ejpam-1834	250	22	gl(2	gl(2	PROPN
ejpam-1834	250	23	,	,	PUNCT
ejpam-1834	250	24	f	f	PROPN
ejpam-1834	250	25	)	)	PUNCT
ejpam-1834	250	26	.	.	PUNCT
ejpam-1834	251	1	the	the	DET
ejpam-1834	251	2	local	local	ADJ
ejpam-1834	251	3	langlands	langland	NOUN
ejpam-1834	251	4	correspondence	correspondence	NOUN
ejpam-1834	251	5	gives	give	VERB
ejpam-1834	251	6	a	a	DET
ejpam-1834	251	7	bijection	bijection	NOUN
ejpam-1834	251	8	,	,	PUNCT
ejpam-1834	251	9	τ	τ	X
ejpam-1834	251	10	:	:	PUNCT
ejpam-1834	251	11	g	g	NOUN
ejpam-1834	251	12	0	0	NUM
ejpam-1834	251	13	2	2	NUM
ejpam-1834	251	14	(	(	PUNCT
ejpam-1834	251	15	f	f	NOUN
ejpam-1834	251	16	)	)	PUNCT
ejpam-1834	251	17	//a	//a	SYM
ejpam-1834	251	18	0	0	NUM
ejpam-1834	251	19	2	2	NUM
ejpam-1834	251	20	(	(	PUNCT
ejpam-1834	251	21	f	f	NOUN
ejpam-1834	251	22	)	)	PUNCT
ejpam-1834	251	23	.	.	PUNCT
ejpam-1834	252	1	we	we	PRON
ejpam-1834	252	2	will	will	AUX
ejpam-1834	252	3	use	use	VERB
ejpam-1834	252	4	the	the	DET
ejpam-1834	252	5	local	local	ADJ
ejpam-1834	252	6	langlands	langland	NOUN
ejpam-1834	252	7	correspondence	correspondence	NOUN
ejpam-1834	252	8	for	for	ADP
ejpam-1834	252	9	gl(2	gl(2	PROPN
ejpam-1834	252	10	)	)	PUNCT
ejpam-1834	253	1	[	[	X
ejpam-1834	253	2	7	7	NUM
ejpam-1834	253	3	,	,	PUNCT
ejpam-1834	253	4	10	10	NUM
ejpam-1834	253	5	,	,	PUNCT
ejpam-1834	253	6	11	11	NUM
ejpam-1834	253	7	,	,	PUNCT
ejpam-1834	253	8	14	14	NUM
ejpam-1834	253	9	]	]	PUNCT
ejpam-1834	253	10	:	:	PUNCT
ejpam-1834	253	11	πf	πf	INTJ
ejpam-1834	253	12	:	:	PUNCT
ejpam-1834	253	13	φ(gl(2))→	φ(gl(2))→	INTJ
ejpam-1834	253	14	i	i	NOUN
ejpam-1834	253	15	r	r	NOUN
ejpam-1834	253	16	r(gl(2	r(gl(2	NOUN
ejpam-1834	253	17	)	)	PUNCT
ejpam-1834	253	18	)	)	PUNCT
ejpam-1834	253	19	.	.	PUNCT
ejpam-1834	254	1	lemmas	lemmas	PROPN
ejpam-1834	254	2	1.1	1.1	NUM
ejpam-1834	254	3	and	and	CCONJ
ejpam-1834	254	4	1.2	1.2	NUM
ejpam-1834	254	5	in	in	ADP
ejpam-1834	254	6	[	[	X
ejpam-1834	254	7	15	15	NUM
ejpam-1834	254	8	]	]	PUNCT
ejpam-1834	254	9	explain	explain	VERB
ejpam-1834	254	10	the	the	DET
ejpam-1834	254	11	formula	formula	NOUN
ejpam-1834	254	12	of	of	ADP
ejpam-1834	254	13	the	the	DET
ejpam-1834	254	14	base	base	NOUN
ejpam-1834	254	15	change	change	NOUN
ejpam-1834	254	16	.	.	PUNCT
ejpam-1834	255	1	now	now	ADV
ejpam-1834	255	2	let	let	VERB
ejpam-1834	255	3	z	z	NOUN
ejpam-1834	255	4	j	j	PROPN
ejpam-1834	256	1	=	=	PUNCT
ejpam-1834	256	2	ψ	ψ	X
ejpam-1834	256	3	j($f	j($f	NOUN
ejpam-1834	256	4	)	)	PUNCT
ejpam-1834	256	5	,	,	PUNCT
ejpam-1834	256	6	we	we	PRON
ejpam-1834	256	7	have	have	VERB
ejpam-1834	256	8	the	the	DET
ejpam-1834	256	9	map	map	NOUN
ejpam-1834	256	10	:	:	PUNCT
ejpam-1834	256	11	ψ1⊗τ	ψ1⊗τ	ADJ
ejpam-1834	256	12	(	(	PUNCT
ejpam-1834	256	13	j1)⊕ψ2⊗τ	j1)⊕ψ2⊗τ	PROPN
ejpam-1834	256	14	(	(	PUNCT
ejpam-1834	256	15	j2	j2	PROPN
ejpam-1834	256	16	)	)	PUNCT
ejpam-1834	256	17	7−→	7−→	PROPN
ejpam-1834	256	18	(	(	PUNCT
ejpam-1834	256	19	z1	z1	PROPN
ejpam-1834	256	20	,	,	PUNCT
ejpam-1834	256	21	z2	z2	PROPN
ejpam-1834	256	22	)	)	PUNCT
ejpam-1834	256	23	.	.	PUNCT
ejpam-1834	257	1	this	this	DET
ejpam-1834	257	2	map	map	NOUN
ejpam-1834	257	3	gives	give	VERB
ejpam-1834	257	4	a	a	DET
ejpam-1834	257	5	bijection	bijection	NOUN
ejpam-1834	257	6	ot(φ)−→	ot(φ)−→	NOUN
ejpam-1834	257	7	s	s	PART
ejpam-1834	257	8	ym2(t	ym2(t	NOUN
ejpam-1834	257	9	)	)	PUNCT
ejpam-1834	257	10	.	.	PUNCT
ejpam-1834	258	1	so	so	ADV
ejpam-1834	258	2	we	we	PRON
ejpam-1834	258	3	will	will	AUX
ejpam-1834	258	4	write	write	VERB
ejpam-1834	258	5	the	the	DET
ejpam-1834	258	6	l	l	NOUN
ejpam-1834	258	7	-	-	NOUN
ejpam-1834	258	8	parameter	parameter	NOUN
ejpam-1834	258	9	φ	φ	NOUN
ejpam-1834	258	10	=	=	NOUN
ejpam-1834	258	11	ψ1⊗τ	ψ1⊗τ	ADJ
ejpam-1834	258	12	(	(	PUNCT
ejpam-1834	258	13	j1)⊕ψ2⊗τ	j1)⊕ψ2⊗τ	PROPN
ejpam-1834	258	14	(	(	PUNCT
ejpam-1834	258	15	j2	j2	PROPN
ejpam-1834	258	16	)	)	PUNCT
ejpam-1834	258	17	as	as	ADP
ejpam-1834	258	18	z1.τ	z1.τ	PROPN
ejpam-1834	258	19	(	(	PUNCT
ejpam-1834	258	20	j1)⊕	j1)⊕	PROPN
ejpam-1834	258	21	z2.τ	z2.τ	PROPN
ejpam-1834	258	22	(	(	PUNCT
ejpam-1834	258	23	j2	j2	PROPN
ejpam-1834	258	24	)	)	PUNCT
ejpam-1834	258	25	.	.	PUNCT
ejpam-1834	259	1	after	after	SCONJ
ejpam-1834	259	2	base	base	NOUN
ejpam-1834	259	3	change	change	NOUN
ejpam-1834	259	4	has	have	AUX
ejpam-1834	259	5	been	be	AUX
ejpam-1834	259	6	applied	apply	VERB
ejpam-1834	259	7	,	,	PUNCT
ejpam-1834	259	8	this	this	DET
ejpam-1834	259	9	l	l	NOUN
ejpam-1834	259	10	-	-	NOUN
ejpam-1834	259	11	parameter	parameter	NOUN
ejpam-1834	259	12	becomes	become	VERB
ejpam-1834	259	13	z	z	NOUN
ejpam-1834	259	14	f	f	PROPN
ejpam-1834	259	15	1	1	NUM
ejpam-1834	259	16	.τ	.τ	ADJ
ejpam-1834	259	17	(	(	PUNCT
ejpam-1834	259	18	j1)⊕	j1)⊕	PROPN
ejpam-1834	259	19	z	z	PROPN
ejpam-1834	259	20	f	f	PROPN
ejpam-1834	259	21	2	2	NUM
ejpam-1834	259	22	.τ	.τ	ADJ
ejpam-1834	259	23	(	(	PUNCT
ejpam-1834	259	24	j2	j2	PROPN
ejpam-1834	259	25	)	)	PUNCT
ejpam-1834	259	26	.	.	PUNCT
ejpam-1834	260	1	the	the	DET
ejpam-1834	260	2	steinberg	steinberg	PROPN
ejpam-1834	260	3	representation	representation	PROPN
ejpam-1834	260	4	st2	st2	PROPN
ejpam-1834	260	5	has	have	VERB
ejpam-1834	260	6	l	l	NOUN
ejpam-1834	260	7	-	-	NOUN
ejpam-1834	260	8	parameter	parameter	NOUN
ejpam-1834	260	9	1⊗τ(2	1⊗τ(2	NUM
ejpam-1834	260	10	)	)	PUNCT
ejpam-1834	260	11	.	.	PUNCT
ejpam-1834	261	1	theorem	theorem	ADJ
ejpam-1834	261	2	4	4	NUM
ejpam-1834	261	3	.	.	PUNCT
ejpam-1834	262	1	let	let	VERB
ejpam-1834	262	2	φ	φ	PROPN
ejpam-1834	262	3	=	=	SYM
ejpam-1834	262	4	1⊗τ(2	1⊗τ(2	NUM
ejpam-1834	262	5	)	)	PUNCT
ejpam-1834	262	6	and	and	CCONJ
ejpam-1834	262	7	let	let	VERB
ejpam-1834	262	8	ot(φ	ot(φ	PUNCT
ejpam-1834	262	9	)	)	PUNCT
ejpam-1834	262	10	be	be	AUX
ejpam-1834	262	11	the	the	DET
ejpam-1834	262	12	compact	compact	ADJ
ejpam-1834	262	13	orbit	orbit	NOUN
ejpam-1834	262	14	of	of	ADP
ejpam-1834	262	15	φ	φ	PROPN
ejpam-1834	262	16	.	.	PUNCT
ejpam-1834	263	1	then	then	ADV
ejpam-1834	263	2	we	we	PRON
ejpam-1834	263	3	have	have	AUX
ejpam-1834	263	4	bc	bc	VERB
ejpam-1834	263	5	:	:	PUNCT
ejpam-1834	263	6	t→	t→	PROPN
ejpam-1834	263	7	t	t	PROPN
ejpam-1834	263	8	,	,	PUNCT
ejpam-1834	263	9	z	z	NOUN
ejpam-1834	263	10	7→	7→	NUM
ejpam-1834	263	11	z	z	NOUN
ejpam-1834	263	12	f	f	NOUN
ejpam-1834	263	13	.	.	PUNCT
ejpam-1834	264	1	(	(	PUNCT
ejpam-1834	264	2	i	i	NOUN
ejpam-1834	264	3	)	)	PUNCT
ejpam-1834	264	4	this	this	DET
ejpam-1834	264	5	map	map	NOUN
ejpam-1834	264	6	has	have	VERB
ejpam-1834	264	7	degree	degree	NOUN
ejpam-1834	264	8	f	f	NOUN
ejpam-1834	264	9	,	,	PUNCT
ejpam-1834	264	10	and	and	CCONJ
ejpam-1834	264	11	so	so	ADV
ejpam-1834	264	12	at	at	ADP
ejpam-1834	264	13	the	the	DET
ejpam-1834	264	14	level	level	NOUN
ejpam-1834	264	15	of	of	ADP
ejpam-1834	264	16	the	the	DET
ejpam-1834	264	17	k	k	NOUN
ejpam-1834	264	18	-	-	NOUN
ejpam-1834	264	19	theory	theory	NOUN
ejpam-1834	264	20	group	group	NOUN
ejpam-1834	264	21	k1	k1	PROPN
ejpam-1834	264	22	,	,	PUNCT
ejpam-1834	264	23	bc	bc	PROPN
ejpam-1834	264	24	induces	induce	VERB
ejpam-1834	264	25	the	the	DET
ejpam-1834	264	26	map	map	NOUN
ejpam-1834	265	1	z→	z→	PROPN
ejpam-1834	265	2	z	z	PROPN
ejpam-1834	265	3	,	,	PUNCT
ejpam-1834	265	4	α1→	α1→	X
ejpam-1834	265	5	f	f	X
ejpam-1834	265	6	·	·	SYM
ejpam-1834	265	7	α1	α1	PROPN
ejpam-1834	265	8	of	of	ADP
ejpam-1834	265	9	multiplication	multiplication	NOUN
ejpam-1834	265	10	by	by	ADP
ejpam-1834	265	11	the	the	DET
ejpam-1834	265	12	residue	residue	NOUN
ejpam-1834	265	13	degree	degree	NOUN
ejpam-1834	265	14	f	f	PROPN
ejpam-1834	265	15	,	,	PUNCT
ejpam-1834	265	16	where	where	SCONJ
ejpam-1834	265	17	α1	α1	PROPN
ejpam-1834	265	18	denotes	denote	VERB
ejpam-1834	265	19	a	a	DET
ejpam-1834	265	20	generator	generator	NOUN
ejpam-1834	265	21	of	of	ADP
ejpam-1834	265	22	the	the	DET
ejpam-1834	265	23	group	group	NOUN
ejpam-1834	265	24	k1(t)∼=	k1(t)∼=	PROPN
ejpam-1834	265	25	z.	z.	PROPN
ejpam-1834	265	26	(	(	PUNCT
ejpam-1834	265	27	ii	ii	PROPN
ejpam-1834	265	28	)	)	PUNCT
ejpam-1834	265	29	at	at	ADP
ejpam-1834	265	30	the	the	DET
ejpam-1834	265	31	level	level	NOUN
ejpam-1834	265	32	of	of	ADP
ejpam-1834	265	33	the	the	DET
ejpam-1834	265	34	k	k	NOUN
ejpam-1834	265	35	-	-	NOUN
ejpam-1834	265	36	theory	theory	NOUN
ejpam-1834	265	37	group	group	NOUN
ejpam-1834	265	38	k0	k0	PROPN
ejpam-1834	265	39	,	,	PUNCT
ejpam-1834	265	40	bc	bc	PROPN
ejpam-1834	265	41	induces	induce	VERB
ejpam-1834	265	42	the	the	DET
ejpam-1834	265	43	identity	identity	NOUN
ejpam-1834	265	44	map	map	NOUN
ejpam-1834	266	1	z→	z→	PROPN
ejpam-1834	266	2	z	z	PROPN
ejpam-1834	266	3	,	,	PUNCT
ejpam-1834	266	4	α0	α0	PROPN
ejpam-1834	266	5	7→	7→	NUM
ejpam-1834	266	6	α0	α0	ADJ
ejpam-1834	266	7	,	,	PUNCT
ejpam-1834	266	8	where	where	SCONJ
ejpam-1834	266	9	α0	α0	ADJ
ejpam-1834	266	10	denotes	denote	VERB
ejpam-1834	266	11	a	a	DET
ejpam-1834	266	12	generator	generator	NOUN
ejpam-1834	266	13	of	of	ADP
ejpam-1834	266	14	k0(t)∼=	k0(t)∼=	NOUN
ejpam-1834	266	15	z.	z.	PROPN
ejpam-1834	266	16	w.	w.	PROPN
ejpam-1834	266	17	aeal	aeal	PROPN
ejpam-1834	266	18	/	/	SYM
ejpam-1834	266	19	eur	eur	PROPN
ejpam-1834	266	20	.	.	PUNCT
ejpam-1834	267	1	j.	j.	PROPN
ejpam-1834	267	2	pure	pure	PROPN
ejpam-1834	267	3	appl	appl	PROPN
ejpam-1834	267	4	.	.	PROPN
ejpam-1834	267	5	math	math	PROPN
ejpam-1834	267	6	,	,	PUNCT
ejpam-1834	267	7	6	6	NUM
ejpam-1834	267	8	(	(	PUNCT
ejpam-1834	267	9	2013	2013	NUM
ejpam-1834	267	10	)	)	PUNCT
ejpam-1834	267	11	,	,	PUNCT
ejpam-1834	267	12	282	282	NUM
ejpam-1834	267	13	-	-	SYM
ejpam-1834	267	14	298	298	NUM
ejpam-1834	267	15	292	292	NUM
ejpam-1834	267	16	proof	proof	NOUN
ejpam-1834	267	17	.	.	PUNCT
ejpam-1834	268	1	since	since	SCONJ
ejpam-1834	268	2	this	this	DET
ejpam-1834	268	3	map	map	NOUN
ejpam-1834	268	4	has	have	VERB
ejpam-1834	268	5	degree	degree	NOUN
ejpam-1834	268	6	f	f	PROPN
ejpam-1834	268	7	then	then	ADV
ejpam-1834	268	8	1	1	NUM
ejpam-1834	268	9	has	have	AUX
ejpam-1834	268	10	been	be	AUX
ejpam-1834	268	11	proved	prove	VERB
ejpam-1834	268	12	.	.	PUNCT
ejpam-1834	269	1	since	since	SCONJ
ejpam-1834	269	2	α0	α0	PROPN
ejpam-1834	269	3	is	be	AUX
ejpam-1834	269	4	the	the	DET
ejpam-1834	269	5	trivial	trivial	ADJ
ejpam-1834	269	6	bundle	bundle	NOUN
ejpam-1834	269	7	of	of	ADP
ejpam-1834	269	8	rank	rank	NOUN
ejpam-1834	269	9	1	1	NUM
ejpam-1834	269	10	over	over	ADP
ejpam-1834	269	11	t	t	PROPN
ejpam-1834	269	12	then	then	ADV
ejpam-1834	269	13	2	2	NUM
ejpam-1834	269	14	has	have	AUX
ejpam-1834	269	15	been	be	AUX
ejpam-1834	269	16	showed	show	VERB
ejpam-1834	269	17	.	.	PUNCT
ejpam-1834	270	1	1⊗τ(2	1⊗τ(2	X
ejpam-1834	270	2	)	)	PUNCT
ejpam-1834	270	3	7−→	7−→	PROPN
ejpam-1834	270	4	st	st	PROPN
ejpam-1834	270	5	f	f	PROPN
ejpam-1834	270	6	27−→	27−→	NUM
ejpam-1834	270	7	7−→	7−→	PROPN
ejpam-1834	270	8	1⊗τ(2	1⊗τ(2	NUM
ejpam-1834	270	9	)	)	PUNCT
ejpam-1834	270	10	7−→	7−→	NOUN
ejpam-1834	270	11	ste	ste	NOUN
ejpam-1834	270	12	2	2	NUM
ejpam-1834	270	13	we	we	PRON
ejpam-1834	270	14	can	can	AUX
ejpam-1834	270	15	generalize	generalize	VERB
ejpam-1834	270	16	this	this	PRON
ejpam-1834	270	17	in	in	ADP
ejpam-1834	270	18	the	the	DET
ejpam-1834	270	19	following	follow	VERB
ejpam-1834	270	20	form	form	NOUN
ejpam-1834	270	21	:	:	PUNCT
ejpam-1834	270	22	σ⊗τ(2	σ⊗τ(2	X
ejpam-1834	270	23	)	)	PUNCT
ejpam-1834	270	24	7−→	7−→	PROPN
ejpam-1834	270	25	st	st	PROPN
ejpam-1834	270	26	f	f	PROPN
ejpam-1834	270	27	27−→	27−→	NUM
ejpam-1834	270	28	7−→	7−→	PROPN
ejpam-1834	270	29	σ⊗τ(2	σ⊗τ(2	NOUN
ejpam-1834	270	30	)	)	PUNCT
ejpam-1834	270	31	7−→	7−→	NOUN
ejpam-1834	270	32	ste	ste	NOUN
ejpam-1834	270	33	2	2	NUM
ejpam-1834	270	34	next	next	ADV
ejpam-1834	270	35	we	we	PRON
ejpam-1834	270	36	define	define	VERB
ejpam-1834	270	37	the	the	DET
ejpam-1834	270	38	l	l	NOUN
ejpam-1834	270	39	-	-	NOUN
ejpam-1834	270	40	parameter	parameter	NOUN
ejpam-1834	270	41	φ	φ	PROPN
ejpam-1834	270	42	to	to	PART
ejpam-1834	270	43	be	be	AUX
ejpam-1834	270	44	:	:	PUNCT
ejpam-1834	270	45	φ	φ	PROPN
ejpam-1834	270	46	=	=	SYM
ejpam-1834	270	47	ρ⊗1⊕ρ⊗1	ρ⊗1⊕ρ⊗1	PROPN
ejpam-1834	270	48	where	where	SCONJ
ejpam-1834	270	49	ρ	ρ	PROPN
ejpam-1834	270	50	is	be	AUX
ejpam-1834	270	51	a	a	DET
ejpam-1834	270	52	unitary	unitary	ADJ
ejpam-1834	270	53	character	character	NOUN
ejpam-1834	270	54	of	of	ADP
ejpam-1834	270	55	wf	wf	PROPN
ejpam-1834	270	56	.	.	PUNCT
ejpam-1834	271	1	the	the	DET
ejpam-1834	271	2	unitary	unitary	ADJ
ejpam-1834	271	3	characters	character	NOUN
ejpam-1834	271	4	of	of	ADP
ejpam-1834	271	5	wf	wf	PROPN
ejpam-1834	271	6	factor	factor	NOUN
ejpam-1834	271	7	through	through	ADP
ejpam-1834	271	8	f×	f×	NOUN
ejpam-1834	272	1	and	and	CCONJ
ejpam-1834	272	2	we	we	PRON
ejpam-1834	272	3	have	have	AUX
ejpam-1834	272	4	f×	f×	VERB
ejpam-1834	272	5	∼=	∼=	PROPN
ejpam-1834	272	6	〈	〈	NOUN
ejpam-1834	272	7	$	$	SYM
ejpam-1834	272	8	f	f	NOUN
ejpam-1834	272	9	〉	〉	NOUN
ejpam-1834	272	10	×uf	×uf	NOUN
ejpam-1834	272	11	.	.	PUNCT
ejpam-1834	273	1	we	we	PRON
ejpam-1834	273	2	will	will	AUX
ejpam-1834	273	3	take	take	VERB
ejpam-1834	273	4	ρ	ρ	NOUN
ejpam-1834	273	5	to	to	PART
ejpam-1834	273	6	be	be	AUX
ejpam-1834	273	7	trivial	trivial	ADJ
ejpam-1834	273	8	on	on	ADP
ejpam-1834	273	9	〈	〈	PROPN
ejpam-1834	273	10	$	$	SYM
ejpam-1834	273	11	f	f	NOUN
ejpam-1834	273	12	〉	〉	NOUN
ejpam-1834	273	13	,	,	PUNCT
ejpam-1834	273	14	and	and	CCONJ
ejpam-1834	273	15	then	then	ADV
ejpam-1834	273	16	regard	regard	VERB
ejpam-1834	273	17	ρ	ρ	PROPN
ejpam-1834	273	18	as	as	ADP
ejpam-1834	273	19	a	a	DET
ejpam-1834	273	20	unitary	unitary	ADJ
ejpam-1834	273	21	character	character	NOUN
ejpam-1834	273	22	of	of	ADP
ejpam-1834	273	23	uf	uf	PROPN
ejpam-1834	273	24	.	.	PUNCT
ejpam-1834	274	1	the	the	DET
ejpam-1834	274	2	group	group	NOUN
ejpam-1834	274	3	uf	uf	PROPN
ejpam-1834	274	4	admits	admit	VERB
ejpam-1834	274	5	countably	countably	ADV
ejpam-1834	274	6	many	many	ADJ
ejpam-1834	274	7	such	such	ADJ
ejpam-1834	274	8	characters	character	NOUN
ejpam-1834	274	9	ρ	ρ	NOUN
ejpam-1834	274	10	.	.	PUNCT
ejpam-1834	275	1	in	in	ADP
ejpam-1834	275	2	this	this	DET
ejpam-1834	275	3	case	case	NOUN
ejpam-1834	275	4	the	the	DET
ejpam-1834	275	5	compact	compact	ADJ
ejpam-1834	275	6	orbit	orbit	NOUN
ejpam-1834	275	7	is	be	AUX
ejpam-1834	275	8	symmetric	symmetric	ADJ
ejpam-1834	275	9	square	square	NOUN
ejpam-1834	275	10	of	of	ADP
ejpam-1834	275	11	the	the	DET
ejpam-1834	275	12	circle	circle	NOUN
ejpam-1834	275	13	t	t	PROPN
ejpam-1834	275	14	:	:	PUNCT
ejpam-1834	275	15	ot(φ)∼=ot(bc(φ))∼=	ot(φ)∼=ot(bc(φ))∼=	NOUN
ejpam-1834	275	16	s	s	PART
ejpam-1834	275	17	ym2(t	ym2(t	NOUN
ejpam-1834	275	18	)	)	PUNCT
ejpam-1834	275	19	:	:	PUNCT
ejpam-1834	276	1	=	=	SYM
ejpam-1834	276	2	t2	t2	PROPN
ejpam-1834	276	3	�	�	PROPN
ejpam-1834	276	4	z/2z=	z/2z=	NUM
ejpam-1834	276	5	t2	t2	PROPN
ejpam-1834	276	6	/	/	SYM
ejpam-1834	276	7	w.	w.	PROPN
ejpam-1834	276	8	lemma	lemma	PROPN
ejpam-1834	276	9	3	3	X
ejpam-1834	276	10	.	.	PUNCT
ejpam-1834	277	1	the	the	DET
ejpam-1834	277	2	symmetric	symmetric	ADJ
ejpam-1834	277	3	square	square	PROPN
ejpam-1834	277	4	t2	t2	PROPN
ejpam-1834	277	5	/	/	SYM
ejpam-1834	277	6	w	w	PROPN
ejpam-1834	277	7	has	have	VERB
ejpam-1834	277	8	the	the	DET
ejpam-1834	277	9	homotopy	homotopy	NOUN
ejpam-1834	277	10	type	type	NOUN
ejpam-1834	277	11	of	of	ADP
ejpam-1834	277	12	a	a	DET
ejpam-1834	277	13	circle	circle	NOUN
ejpam-1834	277	14	t2	t2	NOUN
ejpam-1834	277	15	/	/	SYM
ejpam-1834	277	16	w∼	w∼	PROPN
ejpam-1834	277	17	t	t	PROPN
ejpam-1834	277	18	(	(	PUNCT
ejpam-1834	277	19	z1	z1	PROPN
ejpam-1834	277	20	,	,	PUNCT
ejpam-1834	277	21	z2	z2	ADJ
ejpam-1834	277	22	)	)	PUNCT
ejpam-1834	277	23	7−→	7−→	PROPN
ejpam-1834	277	24	z1z2	z1z2	NOUN
ejpam-1834	277	25	.	.	PUNCT
ejpam-1834	278	1	proof	proof	NOUN
ejpam-1834	278	2	.	.	PUNCT
ejpam-1834	279	1	by	by	ADP
ejpam-1834	279	2	sending	send	VERB
ejpam-1834	279	3	the	the	DET
ejpam-1834	279	4	pair	pair	NOUN
ejpam-1834	279	5	z	z	NOUN
ejpam-1834	279	6	=	=	SYM
ejpam-1834	279	7	(	(	PUNCT
ejpam-1834	279	8	z1	z1	PROPN
ejpam-1834	279	9	,	,	PUNCT
ejpam-1834	279	10	z2	z2	PROPN
ejpam-1834	279	11	)	)	PUNCT
ejpam-1834	279	12	to	to	ADP
ejpam-1834	279	13	a	a	DET
ejpam-1834	279	14	unique	unique	ADJ
ejpam-1834	279	15	monic	monic	ADJ
ejpam-1834	279	16	polynomial	polynomial	ADJ
ejpam-1834	279	17	(	(	PUNCT
ejpam-1834	279	18	z1	z1	PROPN
ejpam-1834	279	19	,	,	PUNCT
ejpam-1834	279	20	z2	z2	ADJ
ejpam-1834	279	21	)	)	PUNCT
ejpam-1834	279	22	7−→	7−→	NOUN
ejpam-1834	279	23	z2	z2	NOUN
ejpam-1834	279	24	+	+	CCONJ
ejpam-1834	279	25	a1z+	a1z+	PROPN
ejpam-1834	279	26	a0	a0	PROPN
ejpam-1834	279	27	,	,	PUNCT
ejpam-1834	279	28	a0	a0	PROPN
ejpam-1834	279	29	6=	6=	ADP
ejpam-1834	279	30	0	0	NUM
ejpam-1834	279	31	with	with	ADP
ejpam-1834	279	32	roots	root	NOUN
ejpam-1834	279	33	z1	z1	VERB
ejpam-1834	279	34	,	,	PUNCT
ejpam-1834	279	35	z2	z2	PROPN
ejpam-1834	279	36	.	.	PUNCT
ejpam-1834	280	1	it	it	PRON
ejpam-1834	280	2	follows	follow	VERB
ejpam-1834	280	3	that	that	SCONJ
ejpam-1834	280	4	s	s	VERB
ejpam-1834	280	5	ym2(t)∼=	ym2(t)∼=	NOUN
ejpam-1834	280	6	{	{	PUNCT
ejpam-1834	280	7	z2	z2	PROPN
ejpam-1834	280	8	+	+	PROPN
ejpam-1834	280	9	a1z+	a1z+	NOUN
ejpam-1834	280	10	a0	a0	NOUN
ejpam-1834	280	11	:	:	PUNCT
ejpam-1834	280	12	a0	a0	PROPN
ejpam-1834	280	13	6=	6=	ADP
ejpam-1834	280	14	0	0	NUM
ejpam-1834	280	15	}	}	PUNCT
ejpam-1834	280	16	∼h	∼h	PROPN
ejpam-1834	280	17	t	t	PROPN
ejpam-1834	280	18	,	,	PUNCT
ejpam-1834	280	19	since	since	SCONJ
ejpam-1834	280	20	the	the	DET
ejpam-1834	280	21	space	space	NOUN
ejpam-1834	280	22	of	of	ADP
ejpam-1834	280	23	coefficients	coefficient	NOUN
ejpam-1834	280	24	a1	a1	PROPN
ejpam-1834	280	25	,	,	PUNCT
ejpam-1834	280	26	a0	a0	NOUN
ejpam-1834	280	27	is	be	AUX
ejpam-1834	280	28	contractible	contractible	ADJ
ejpam-1834	280	29	.	.	PUNCT
ejpam-1834	281	1	therefore	therefore	ADV
ejpam-1834	281	2	,	,	PUNCT
ejpam-1834	281	3	s	s	VERB
ejpam-1834	281	4	ym2(t)∼h	ym2(t)∼h	PROPN
ejpam-1834	281	5	t	t	NOUN
ejpam-1834	281	6	using	use	VERB
ejpam-1834	281	7	the	the	DET
ejpam-1834	281	8	map	map	NOUN
ejpam-1834	281	9	(	(	PUNCT
ejpam-1834	281	10	z1	z1	NOUN
ejpam-1834	281	11	,	,	PUNCT
ejpam-1834	281	12	z2	z2	PROPN
ejpam-1834	281	13	)	)	PUNCT
ejpam-1834	281	14	7→	7→	NOUN
ejpam-1834	281	15	z1	z1	PROPN
ejpam-1834	281	16	·	·	PUNCT
ejpam-1834	281	17	z2	z2	PROPN
ejpam-1834	281	18	.	.	PUNCT
ejpam-1834	282	1	let	let	VERB
ejpam-1834	282	2	πf	πf	PRON
ejpam-1834	282	3	be	be	AUX
ejpam-1834	282	4	the	the	DET
ejpam-1834	282	5	local	local	ADJ
ejpam-1834	282	6	langlands	langland	NOUN
ejpam-1834	282	7	correspondence	correspondence	NOUN
ejpam-1834	283	1	πf	πf	INTJ
ejpam-1834	283	2	:	:	PUNCT
ejpam-1834	284	1	φ(gl(2))→	φ(gl(2))→	INTJ
ejpam-1834	284	2	i	i	NOUN
ejpam-1834	284	3	r	r	NOUN
ejpam-1834	284	4	rgl(2	rgl(2	PRON
ejpam-1834	284	5	)	)	PUNCT
ejpam-1834	284	6	w.	w.	PROPN
ejpam-1834	284	7	aeal	aeal	PROPN
ejpam-1834	284	8	/	/	SYM
ejpam-1834	284	9	eur	eur	PROPN
ejpam-1834	284	10	.	.	PUNCT
ejpam-1834	285	1	j.	j.	PROPN
ejpam-1834	285	2	pure	pure	PROPN
ejpam-1834	285	3	appl	appl	PROPN
ejpam-1834	285	4	.	.	PROPN
ejpam-1834	285	5	math	math	PROPN
ejpam-1834	285	6	,	,	PUNCT
ejpam-1834	285	7	6	6	NUM
ejpam-1834	285	8	(	(	PUNCT
ejpam-1834	285	9	2013	2013	NUM
ejpam-1834	285	10	)	)	PUNCT
ejpam-1834	285	11	,	,	PUNCT
ejpam-1834	285	12	282	282	NUM
ejpam-1834	285	13	-	-	SYM
ejpam-1834	285	14	298	298	NUM
ejpam-1834	285	15	293	293	NUM
ejpam-1834	286	1	and	and	CCONJ
ejpam-1834	286	2	let	let	VERB
ejpam-1834	286	3	x	x	SYM
ejpam-1834	286	4	=	=	NOUN
ejpam-1834	286	5	diag(t1	diag(t1	PROPN
ejpam-1834	286	6	,	,	PUNCT
ejpam-1834	286	7	t2	t2	PROPN
ejpam-1834	286	8	)	)	PUNCT
ejpam-1834	286	9	be	be	AUX
ejpam-1834	286	10	a	a	DET
ejpam-1834	286	11	diagonal	diagonal	ADJ
ejpam-1834	286	12	element	element	NOUN
ejpam-1834	286	13	in	in	ADP
ejpam-1834	286	14	the	the	DET
ejpam-1834	286	15	standard	standard	ADJ
ejpam-1834	286	16	maximal	maximal	ADJ
ejpam-1834	286	17	torus	torus	PROPN
ejpam-1834	286	18	t	t	PROPN
ejpam-1834	286	19	of	of	ADP
ejpam-1834	286	20	gl(2	gl(2	PROPN
ejpam-1834	286	21	)	)	PUNCT
ejpam-1834	286	22	.	.	PUNCT
ejpam-1834	287	1	then	then	ADV
ejpam-1834	287	2	χ	χ	X
ejpam-1834	287	3	:	:	PUNCT
ejpam-1834	287	4	x	x	SYM
ejpam-1834	287	5	7→	7→	NUM
ejpam-1834	287	6	πf	πf	INTJ
ejpam-1834	287	7	(	(	PUNCT
ejpam-1834	287	8	ρ)(t1	ρ)(t1	PROPN
ejpam-1834	287	9	,	,	PUNCT
ejpam-1834	287	10	t2	t2	NOUN
ejpam-1834	287	11	)	)	PUNCT
ejpam-1834	287	12	is	be	AUX
ejpam-1834	287	13	a	a	DET
ejpam-1834	287	14	unitary	unitary	ADJ
ejpam-1834	287	15	character	character	NOUN
ejpam-1834	287	16	of	of	ADP
ejpam-1834	287	17	t	t	PROPN
ejpam-1834	287	18	.	.	PUNCT
ejpam-1834	288	1	let	let	AUX
ejpam-1834	288	2	σ	σ	NOUN
ejpam-1834	288	3	be	be	AUX
ejpam-1834	288	4	an	an	DET
ejpam-1834	288	5	unramified	unramifie	VERB
ejpam-1834	288	6	unitary	unitary	ADJ
ejpam-1834	288	7	character	character	NOUN
ejpam-1834	288	8	of	of	ADP
ejpam-1834	288	9	t	t	PROPN
ejpam-1834	288	10	,	,	PUNCT
ejpam-1834	288	11	and	and	CCONJ
ejpam-1834	288	12	form	form	VERB
ejpam-1834	288	13	the	the	DET
ejpam-1834	288	14	induced	induced	ADJ
ejpam-1834	288	15	representation	representation	NOUN
ejpam-1834	288	16	indg	indg	PROPN
ejpam-1834	288	17	t	t	PROPN
ejpam-1834	288	18	u(σ⊗χ	u(σ⊗χ	PROPN
ejpam-1834	288	19	)	)	PUNCT
ejpam-1834	288	20	which	which	PRON
ejpam-1834	288	21	is	be	AUX
ejpam-1834	288	22	an	an	DET
ejpam-1834	288	23	irreducible	irreducible	ADJ
ejpam-1834	288	24	unitary	unitary	ADJ
ejpam-1834	288	25	representation	representation	NOUN
ejpam-1834	288	26	of	of	ADP
ejpam-1834	288	27	g.	g.	PROPN
ejpam-1834	288	28	let	let	VERB
ejpam-1834	288	29	σ	σ	NOUN
ejpam-1834	288	30	vary	vary	VERB
ejpam-1834	288	31	over	over	ADP
ejpam-1834	288	32	all	all	DET
ejpam-1834	288	33	unramified	unramifie	VERB
ejpam-1834	288	34	unitary	unitary	ADJ
ejpam-1834	288	35	characters	character	NOUN
ejpam-1834	288	36	of	of	ADP
ejpam-1834	288	37	t	t	PROPN
ejpam-1834	288	38	,	,	PUNCT
ejpam-1834	288	39	then	then	ADV
ejpam-1834	288	40	we	we	PRON
ejpam-1834	288	41	obtain	obtain	VERB
ejpam-1834	288	42	a	a	DET
ejpam-1834	288	43	subset	subset	NOUN
ejpam-1834	288	44	of	of	ADP
ejpam-1834	288	45	the	the	DET
ejpam-1834	288	46	unitary	unitary	ADJ
ejpam-1834	288	47	dual	dual	NOUN
ejpam-1834	288	48	of	of	ADP
ejpam-1834	288	49	g.	g.	PROPN
ejpam-1834	288	50	this	this	DET
ejpam-1834	288	51	subset	subset	NOUN
ejpam-1834	288	52	has	have	VERB
ejpam-1834	288	53	the	the	DET
ejpam-1834	288	54	structure	structure	NOUN
ejpam-1834	288	55	of	of	ADP
ejpam-1834	288	56	a	a	DET
ejpam-1834	288	57	symmetric	symmetric	ADJ
ejpam-1834	288	58	square	square	NOUN
ejpam-1834	288	59	of	of	ADP
ejpam-1834	288	60	t.	t.	NOUN
ejpam-1834	288	61	the	the	DET
ejpam-1834	288	62	consequence	consequence	NOUN
ejpam-1834	288	63	for	for	ADP
ejpam-1834	288	64	uf	uf	PROPN
ejpam-1834	288	65	admits	admit	VERB
ejpam-1834	288	66	countably	countably	ADV
ejpam-1834	288	67	many	many	ADJ
ejpam-1834	288	68	unitary	unitary	ADJ
ejpam-1834	288	69	characters	character	NOUN
ejpam-1834	288	70	is	be	AUX
ejpam-1834	288	71	the	the	DET
ejpam-1834	288	72	unitary	unitary	ADJ
ejpam-1834	288	73	dual	dual	NOUN
ejpam-1834	288	74	of	of	ADP
ejpam-1834	288	75	g	g	PROPN
ejpam-1834	288	76	contains	contain	VERB
ejpam-1834	288	77	countably	countably	ADV
ejpam-1834	288	78	many	many	ADJ
ejpam-1834	288	79	subspaces	subspace	NOUN
ejpam-1834	288	80	(	(	PUNCT
ejpam-1834	288	81	in	in	ADP
ejpam-1834	288	82	the	the	DET
ejpam-1834	288	83	fell	fall	VERB
ejpam-1834	288	84	topology	topology	NOUN
ejpam-1834	288	85	)	)	PUNCT
ejpam-1834	288	86	each	each	PRON
ejpam-1834	288	87	with	with	ADP
ejpam-1834	288	88	the	the	DET
ejpam-1834	288	89	structure	structure	NOUN
ejpam-1834	288	90	s	s	PROPN
ejpam-1834	288	91	ym2(t	ym2(t	PROPN
ejpam-1834	288	92	)	)	PUNCT
ejpam-1834	288	93	.	.	PUNCT
ejpam-1834	289	1	we	we	PRON
ejpam-1834	289	2	are	be	AUX
ejpam-1834	289	3	concerned	concerned	ADJ
ejpam-1834	289	4	with	with	ADP
ejpam-1834	289	5	the	the	DET
ejpam-1834	289	6	effect	effect	NOUN
ejpam-1834	289	7	of	of	ADP
ejpam-1834	289	8	base	base	NOUN
ejpam-1834	289	9	change	change	NOUN
ejpam-1834	289	10	e	e	NOUN
ejpam-1834	289	11	/	/	SYM
ejpam-1834	289	12	f	f	PROPN
ejpam-1834	289	13	on	on	ADP
ejpam-1834	289	14	each	each	PRON
ejpam-1834	289	15	of	of	ADP
ejpam-1834	289	16	these	these	DET
ejpam-1834	289	17	compact	compact	ADJ
ejpam-1834	289	18	spaces	space	NOUN
ejpam-1834	289	19	.	.	PUNCT
ejpam-1834	290	1	theorem	theorem	ADJ
ejpam-1834	290	2	5	5	NUM
ejpam-1834	290	3	.	.	PUNCT
ejpam-1834	291	1	let	let	VERB
ejpam-1834	291	2	t2	t2	PROPN
ejpam-1834	291	3	/	/	SYM
ejpam-1834	291	4	w	w	PROPN
ejpam-1834	291	5	denote	denote	VERB
ejpam-1834	291	6	one	one	NUM
ejpam-1834	291	7	of	of	ADP
ejpam-1834	291	8	the	the	DET
ejpam-1834	291	9	compact	compact	ADJ
ejpam-1834	291	10	subspaces	subspace	NOUN
ejpam-1834	291	11	of	of	ADP
ejpam-1834	291	12	the	the	DET
ejpam-1834	291	13	unitary	unitary	ADJ
ejpam-1834	291	14	principal	principal	ADJ
ejpam-1834	291	15	series	series	NOUN
ejpam-1834	291	16	of	of	ADP
ejpam-1834	291	17	gl(2	gl(2	PROPN
ejpam-1834	291	18	)	)	PUNCT
ejpam-1834	291	19	.	.	PUNCT
ejpam-1834	292	1	then	then	ADV
ejpam-1834	292	2	we	we	PRON
ejpam-1834	292	3	have	have	VERB
ejpam-1834	292	4	bc	bc	PROPN
ejpam-1834	292	5	:	:	PUNCT
ejpam-1834	292	6	t2	t2	PROPN
ejpam-1834	292	7	/	/	SYM
ejpam-1834	292	8	w→	w→	PROPN
ejpam-1834	292	9	t2	t2	PROPN
ejpam-1834	292	10	/	/	SYM
ejpam-1834	292	11	w	w	PROPN
ejpam-1834	292	12	,	,	PUNCT
ejpam-1834	292	13	(	(	PUNCT
ejpam-1834	292	14	z1	z1	PROPN
ejpam-1834	292	15	,	,	PUNCT
ejpam-1834	292	16	z2	z2	PROPN
ejpam-1834	292	17	)	)	PUNCT
ejpam-1834	292	18	7→	7→	PROPN
ejpam-1834	292	19	(	(	PUNCT
ejpam-1834	292	20	z	z	NOUN
ejpam-1834	292	21	f	f	PROPN
ejpam-1834	292	22	1	1	NUM
ejpam-1834	292	23	,	,	PUNCT
ejpam-1834	292	24	z	z	NOUN
ejpam-1834	292	25	f	f	NOUN
ejpam-1834	292	26	2	2	NUM
ejpam-1834	292	27	)	)	PUNCT
ejpam-1834	292	28	(	(	PUNCT
ejpam-1834	292	29	i	i	NOUN
ejpam-1834	292	30	)	)	PUNCT
ejpam-1834	292	31	at	at	ADP
ejpam-1834	292	32	the	the	DET
ejpam-1834	292	33	level	level	NOUN
ejpam-1834	292	34	of	of	ADP
ejpam-1834	292	35	the	the	DET
ejpam-1834	292	36	k	k	NOUN
ejpam-1834	292	37	-	-	NOUN
ejpam-1834	292	38	theory	theory	NOUN
ejpam-1834	292	39	group	group	NOUN
ejpam-1834	292	40	k1	k1	PROPN
ejpam-1834	292	41	,	,	PUNCT
ejpam-1834	292	42	bc	bc	PROPN
ejpam-1834	292	43	induces	induce	VERB
ejpam-1834	292	44	the	the	DET
ejpam-1834	292	45	map	map	NOUN
ejpam-1834	292	46	z→	z→	PROPN
ejpam-1834	292	47	z	z	PROPN
ejpam-1834	292	48	,	,	PUNCT
ejpam-1834	292	49	α1	α1	PROPN
ejpam-1834	292	50	7→	7→	PROPN
ejpam-1834	292	51	f	f	X
ejpam-1834	292	52	·	·	SYM
ejpam-1834	292	53	α1	α1	PROPN
ejpam-1834	292	54	of	of	ADP
ejpam-1834	292	55	multiplication	multiplication	NOUN
ejpam-1834	292	56	by	by	ADP
ejpam-1834	292	57	f	f	PROPN
ejpam-1834	292	58	,	,	PUNCT
ejpam-1834	292	59	where	where	SCONJ
ejpam-1834	292	60	f	f	PROPN
ejpam-1834	292	61	is	be	AUX
ejpam-1834	292	62	the	the	DET
ejpam-1834	292	63	residue	residue	NOUN
ejpam-1834	292	64	degree	degree	NOUN
ejpam-1834	292	65	and	and	CCONJ
ejpam-1834	292	66	α1	α1	PROPN
ejpam-1834	292	67	denotes	denote	VERB
ejpam-1834	292	68	a	a	DET
ejpam-1834	292	69	generator	generator	NOUN
ejpam-1834	292	70	of	of	ADP
ejpam-1834	292	71	k1(t	k1(t	PROPN
ejpam-1834	292	72	)	)	PUNCT
ejpam-1834	292	73	=	=	SYM
ejpam-1834	292	74	z.	z.	PROPN
ejpam-1834	292	75	(	(	PUNCT
ejpam-1834	292	76	ii	ii	PROPN
ejpam-1834	292	77	)	)	PUNCT
ejpam-1834	292	78	at	at	ADP
ejpam-1834	292	79	the	the	DET
ejpam-1834	292	80	level	level	NOUN
ejpam-1834	292	81	of	of	ADP
ejpam-1834	292	82	the	the	DET
ejpam-1834	292	83	k	k	NOUN
ejpam-1834	292	84	-	-	NOUN
ejpam-1834	292	85	theory	theory	NOUN
ejpam-1834	292	86	group	group	NOUN
ejpam-1834	292	87	k0	k0	PROPN
ejpam-1834	292	88	,	,	PUNCT
ejpam-1834	292	89	bc	bc	PROPN
ejpam-1834	292	90	induces	induce	VERB
ejpam-1834	292	91	the	the	DET
ejpam-1834	292	92	identity	identity	NOUN
ejpam-1834	292	93	map	map	NOUN
ejpam-1834	293	1	z→	z→	PROPN
ejpam-1834	293	2	z	z	PROPN
ejpam-1834	293	3	,	,	PUNCT
ejpam-1834	293	4	α0	α0	PROPN
ejpam-1834	293	5	7→	7→	NUM
ejpam-1834	293	6	α0	α0	ADJ
ejpam-1834	293	7	,	,	PUNCT
ejpam-1834	293	8	where	where	SCONJ
ejpam-1834	293	9	α0	α0	ADJ
ejpam-1834	293	10	denotes	denote	VERB
ejpam-1834	293	11	a	a	DET
ejpam-1834	293	12	generator	generator	NOUN
ejpam-1834	293	13	of	of	ADP
ejpam-1834	293	14	k0(t	k0(t	PROPN
ejpam-1834	293	15	)	)	PUNCT
ejpam-1834	293	16	=	=	SYM
ejpam-1834	294	1	z.	z.	PROPN
ejpam-1834	294	2	proof	proof	NOUN
ejpam-1834	294	3	.	.	PUNCT
ejpam-1834	295	1	from	from	ADP
ejpam-1834	295	2	lemma	lemma	PROPN
ejpam-1834	295	3	3	3	NUM
ejpam-1834	295	4	we	we	PRON
ejpam-1834	295	5	have	have	VERB
ejpam-1834	295	6	this	this	DET
ejpam-1834	295	7	commutative	commutative	ADJ
ejpam-1834	295	8	diagram	diagram	NOUN
ejpam-1834	295	9	:	:	PUNCT
ejpam-1834	295	10	s	s	PROPN
ejpam-1834	295	11	ym2(t	ym2(t	NOUN
ejpam-1834	295	12	)	)	PUNCT
ejpam-1834	296	1	bc	bc	PROPN
ejpam-1834	296	2	�	�	PROPN
ejpam-1834	296	3	�	�	PROPN
ejpam-1834	296	4	h	h	PROPN
ejpam-1834	296	5	//	//	PROPN
ejpam-1834	296	6	t	t	PROPN
ejpam-1834	296	7	bc∗	bc∗	PROPN
ejpam-1834	296	8	�	�	PROPN
ejpam-1834	296	9	�	�	PROPN
ejpam-1834	296	10	s	s	PART
ejpam-1834	296	11	ym2(t	ym2(t	NOUN
ejpam-1834	296	12	)	)	PUNCT
ejpam-1834	296	13	h	h	PROPN
ejpam-1834	296	14	//	//	PROPN
ejpam-1834	296	15	t	t	PROPN
ejpam-1834	296	16	where	where	SCONJ
ejpam-1834	296	17	bc(z1	bc(z1	NOUN
ejpam-1834	296	18	,	,	PUNCT
ejpam-1834	296	19	z2	z2	NUM
ejpam-1834	296	20	)	)	PUNCT
ejpam-1834	297	1	=	=	PUNCT
ejpam-1834	297	2	(	(	PUNCT
ejpam-1834	297	3	z	z	NOUN
ejpam-1834	297	4	f	f	PROPN
ejpam-1834	297	5	1	1	NUM
ejpam-1834	297	6	,	,	PUNCT
ejpam-1834	297	7	z	z	NOUN
ejpam-1834	297	8	f	f	NOUN
ejpam-1834	297	9	2	2	NUM
ejpam-1834	297	10	)	)	PUNCT
ejpam-1834	297	11	,	,	PUNCT
ejpam-1834	297	12	bc∗(z	bc∗(z	NOUN
ejpam-1834	297	13	)	)	PUNCT
ejpam-1834	297	14	=	=	PUNCT
ejpam-1834	297	15	z	z	NOUN
ejpam-1834	297	16	f	f	PROPN
ejpam-1834	297	17	and	and	CCONJ
ejpam-1834	297	18	h(z1	h(z1	NOUN
ejpam-1834	297	19	,	,	PUNCT
ejpam-1834	297	20	z2	z2	PROPN
ejpam-1834	297	21	)	)	PUNCT
ejpam-1834	297	22	=	=	SYM
ejpam-1834	297	23	z1	z1	PROPN
ejpam-1834	297	24	·	·	PUNCT
ejpam-1834	297	25	z2	z2	PROPN
ejpam-1834	297	26	.	.	PUNCT
ejpam-1834	298	1	since	since	SCONJ
ejpam-1834	298	2	(	(	PUNCT
ejpam-1834	298	3	z1	z1	PROPN
ejpam-1834	298	4	·	·	SYM
ejpam-1834	298	5	z2	z2	NUM
ejpam-1834	298	6	)	)	PUNCT
ejpam-1834	298	7	f	f	NOUN
ejpam-1834	299	1	=	=	PUNCT
ejpam-1834	299	2	z	z	NOUN
ejpam-1834	299	3	f	f	PROPN
ejpam-1834	299	4	1	1	NUM
ejpam-1834	299	5	·	·	PUNCT
ejpam-1834	299	6	z	z	NOUN
ejpam-1834	300	1	f	f	NOUN
ejpam-1834	300	2	2	2	NUM
ejpam-1834	300	3	we	we	PRON
ejpam-1834	300	4	have	have	VERB
ejpam-1834	300	5	k	k	PROPN
ejpam-1834	300	6	j(bc	j(bc	PROPN
ejpam-1834	300	7	)	)	PUNCT
ejpam-1834	300	8	=	=	SYM
ejpam-1834	300	9	k	k	PROPN
ejpam-1834	300	10	j(bc∗	j(bc∗	PROPN
ejpam-1834	300	11	)	)	PUNCT
ejpam-1834	300	12	,	,	PUNCT
ejpam-1834	300	13	but	but	CCONJ
ejpam-1834	300	14	bc∗	bc∗	NOUN
ejpam-1834	300	15	is	be	AUX
ejpam-1834	300	16	a	a	DET
ejpam-1834	300	17	map	map	NOUN
ejpam-1834	300	18	of	of	ADP
ejpam-1834	300	19	degree	degree	NOUN
ejpam-1834	300	20	f	f	X
ejpam-1834	300	21	.	.	PUNCT
ejpam-1834	301	1	therefore	therefore	ADV
ejpam-1834	301	2	,	,	PUNCT
ejpam-1834	301	3	k1(bc)(α1	k1(bc)(α1	PROPN
ejpam-1834	301	4	)	)	PUNCT
ejpam-1834	302	1	=	=	SYM
ejpam-1834	302	2	f	f	X
ejpam-1834	302	3	·	·	SYM
ejpam-1834	302	4	α1	α1	PROPN
ejpam-1834	302	5	and	and	CCONJ
ejpam-1834	302	6	k0(bc)(α0	k0(bc)(α0	NOUN
ejpam-1834	302	7	)	)	PUNCT
ejpam-1834	303	1	=	=	SYM
ejpam-1834	304	1	α0	α0	ADJ
ejpam-1834	304	2	where	where	SCONJ
ejpam-1834	304	3	α1	α1	PROPN
ejpam-1834	304	4	is	be	AUX
ejpam-1834	304	5	a	a	DET
ejpam-1834	304	6	generator	generator	NOUN
ejpam-1834	304	7	of	of	ADP
ejpam-1834	304	8	k1(t	k1(t	PROPN
ejpam-1834	304	9	)	)	PUNCT
ejpam-1834	304	10	=	=	SYM
ejpam-1834	305	1	z	z	NOUN
ejpam-1834	305	2	and	and	CCONJ
ejpam-1834	305	3	α0	α0	PROPN
ejpam-1834	305	4	is	be	AUX
ejpam-1834	305	5	a	a	DET
ejpam-1834	305	6	generator	generator	NOUN
ejpam-1834	305	7	of	of	ADP
ejpam-1834	305	8	k0(t	k0(t	PROPN
ejpam-1834	305	9	)	)	PUNCT
ejpam-1834	305	10	=	=	SYM
ejpam-1834	306	1	z.	z.	PROPN
ejpam-1834	306	2	therefore	therefore	ADV
ejpam-1834	306	3	,	,	PUNCT
ejpam-1834	306	4	the	the	DET
ejpam-1834	306	5	k	k	NOUN
ejpam-1834	306	6	-	-	NOUN
ejpam-1834	306	7	theory	theory	NOUN
ejpam-1834	306	8	for	for	ADP
ejpam-1834	306	9	the	the	DET
ejpam-1834	306	10	trivial	trivial	ADJ
ejpam-1834	306	11	type	type	NOUN
ejpam-1834	306	12	(	(	PUNCT
ejpam-1834	306	13	i	i	NOUN
ejpam-1834	306	14	,	,	PUNCT
ejpam-1834	306	15	1i	1i	NUM
ejpam-1834	306	16	)	)	PUNCT
ejpam-1834	306	17	would	would	AUX
ejpam-1834	306	18	be	be	AUX
ejpam-1834	306	19	as	as	SCONJ
ejpam-1834	306	20	follows	follow	VERB
ejpam-1834	306	21	:	:	PUNCT
ejpam-1834	306	22	w.	w.	PROPN
ejpam-1834	306	23	aeal	aeal	PROPN
ejpam-1834	306	24	/	/	SYM
ejpam-1834	306	25	eur	eur	PROPN
ejpam-1834	306	26	.	.	PUNCT
ejpam-1834	307	1	j.	j.	PROPN
ejpam-1834	307	2	pure	pure	PROPN
ejpam-1834	307	3	appl	appl	PROPN
ejpam-1834	307	4	.	.	PROPN
ejpam-1834	307	5	math	math	PROPN
ejpam-1834	307	6	,	,	PUNCT
ejpam-1834	307	7	6	6	NUM
ejpam-1834	307	8	(	(	PUNCT
ejpam-1834	307	9	2013	2013	NUM
ejpam-1834	307	10	)	)	PUNCT
ejpam-1834	307	11	,	,	PUNCT
ejpam-1834	307	12	282	282	NUM
ejpam-1834	307	13	-	-	SYM
ejpam-1834	307	14	298	298	NUM
ejpam-1834	307	15	294	294	NUM
ejpam-1834	307	16	theorem	theorem	VERB
ejpam-1834	307	17	6	6	NUM
ejpam-1834	307	18	.	.	PUNCT
ejpam-1834	308	1	k	k	PROPN
ejpam-1834	308	2	jc	jc	PROPN
ejpam-1834	308	3	∗	∗	PROPN
ejpam-1834	308	4	r	r	NOUN
ejpam-1834	308	5	(	(	PUNCT
ejpam-1834	308	6	s	s	X
ejpam-1834	308	7	)	)	PUNCT
ejpam-1834	308	8	=	=	SYM
ejpam-1834	309	1	k	k	PROPN
ejpam-1834	309	2	j(s	j(s	PROPN
ejpam-1834	309	3	ym2(t	ym2(t	PROPN
ejpam-1834	309	4	)	)	PUNCT
ejpam-1834	309	5	⊔	⊔	NUM
ejpam-1834	309	6	t)∼=	t)∼=	ADJ
ejpam-1834	309	7	z2	z2	NOUN
ejpam-1834	309	8	proof	proof	NOUN
ejpam-1834	309	9	.	.	PUNCT
ejpam-1834	310	1	proof	proof	NOUN
ejpam-1834	310	2	immediately	immediately	ADV
ejpam-1834	310	3	follows	follow	VERB
ejpam-1834	310	4	from	from	ADP
ejpam-1834	310	5	theorems	theorem	NOUN
ejpam-1834	310	6	4	4	NUM
ejpam-1834	310	7	and	and	CCONJ
ejpam-1834	310	8	5	5	NUM
ejpam-1834	310	9	.	.	PUNCT
ejpam-1834	311	1	definition	definition	NOUN
ejpam-1834	311	2	3	3	X
ejpam-1834	311	3	.	.	PUNCT
ejpam-1834	312	1	let	let	VERB
ejpam-1834	312	2	e	e	PRON
ejpam-1834	312	3	/	/	SYM
ejpam-1834	312	4	f	f	X
ejpam-1834	312	5	be	be	AUX
ejpam-1834	312	6	a	a	DET
ejpam-1834	312	7	quadratic	quadratic	ADJ
ejpam-1834	312	8	extension	extension	NOUN
ejpam-1834	312	9	and	and	CCONJ
ejpam-1834	312	10	let	let	VERB
ejpam-1834	312	11	χ	χ	PRON
ejpam-1834	312	12	be	be	AUX
ejpam-1834	312	13	a	a	DET
ejpam-1834	312	14	character	character	NOUN
ejpam-1834	312	15	of	of	ADP
ejpam-1834	312	16	e×.	e×.	NOUN
ejpam-1834	312	17	the	the	DET
ejpam-1834	312	18	pair	pair	NOUN
ejpam-1834	312	19	ϑ	ϑ	X
ejpam-1834	312	20	=	=	X
ejpam-1834	312	21	(	(	PUNCT
ejpam-1834	312	22	e	e	NOUN
ejpam-1834	312	23	/	/	SYM
ejpam-1834	312	24	f	f	PROPN
ejpam-1834	312	25	,	,	PUNCT
ejpam-1834	312	26	χ	χ	X
ejpam-1834	312	27	)	)	PUNCT
ejpam-1834	312	28	is	be	AUX
ejpam-1834	312	29	called	call	VERB
ejpam-1834	312	30	admissible	admissible	ADJ
ejpam-1834	312	31	if	if	SCONJ
ejpam-1834	312	32	(	(	PUNCT
ejpam-1834	312	33	i	i	NOUN
ejpam-1834	312	34	)	)	PUNCT
ejpam-1834	313	1	χ	χ	NOUN
ejpam-1834	313	2	does	do	AUX
ejpam-1834	313	3	not	not	PART
ejpam-1834	313	4	factor	factor	VERB
ejpam-1834	313	5	through	through	ADP
ejpam-1834	313	6	the	the	DET
ejpam-1834	313	7	norm	norm	NOUN
ejpam-1834	313	8	map	map	NOUN
ejpam-1834	313	9	ne	ne	PROPN
ejpam-1834	313	10	/	/	SYM
ejpam-1834	313	11	f	f	PROPN
ejpam-1834	313	12	:	:	PUNCT
ejpam-1834	313	13	e×→	e×→	X
ejpam-1834	313	14	f×	f×	VERB
ejpam-1834	313	15	and	and	CCONJ
ejpam-1834	313	16	,	,	PUNCT
ejpam-1834	313	17	(	(	PUNCT
ejpam-1834	313	18	ii	ii	NOUN
ejpam-1834	313	19	)	)	PUNCT
ejpam-1834	313	20	if	if	SCONJ
ejpam-1834	313	21	χ	χ	PRON
ejpam-1834	313	22	|	|	ADV
ejpam-1834	313	23	u	u	NOUN
ejpam-1834	313	24	1	1	NUM
ejpam-1834	313	25	e	e	NOUN
ejpam-1834	313	26	does	do	AUX
ejpam-1834	313	27	factor	factor	NOUN
ejpam-1834	313	28	through	through	ADP
ejpam-1834	313	29	ne	ne	PROPN
ejpam-1834	313	30	/	/	SYM
ejpam-1834	313	31	f	f	PROPN
ejpam-1834	313	32	,	,	PUNCT
ejpam-1834	313	33	then	then	ADV
ejpam-1834	313	34	e	e	X
ejpam-1834	313	35	/	/	SYM
ejpam-1834	313	36	f	f	PROPN
ejpam-1834	313	37	is	be	AUX
ejpam-1834	313	38	unramified	unramifie	VERB
ejpam-1834	313	39	.	.	PUNCT
ejpam-1834	314	1	let	let	VERB
ejpam-1834	314	2	p2(f	p2(f	X
ejpam-1834	314	3	)	)	PUNCT
ejpam-1834	314	4	be	be	AUX
ejpam-1834	314	5	the	the	DET
ejpam-1834	314	6	set	set	NOUN
ejpam-1834	314	7	of	of	ADP
ejpam-1834	314	8	isomorphism	isomorphism	NOUN
ejpam-1834	314	9	classes	class	NOUN
ejpam-1834	314	10	of	of	ADP
ejpam-1834	314	11	admissible	admissible	ADJ
ejpam-1834	314	12	pairs	pair	NOUN
ejpam-1834	314	13	ϑ.	ϑ.	VERB
ejpam-1834	314	14	the	the	DET
ejpam-1834	314	15	map	map	NOUN
ejpam-1834	314	16	p2(f)→g	p2(f)→g	NOUN
ejpam-1834	314	17	0	0	NUM
ejpam-1834	314	18	2	2	NUM
ejpam-1834	314	19	(	(	PUNCT
ejpam-1834	314	20	f	f	NOUN
ejpam-1834	314	21	)	)	PUNCT
ejpam-1834	314	22	,	,	PUNCT
ejpam-1834	314	23	ϑ	ϑ	PROPN
ejpam-1834	314	24	7→	7→	NUM
ejpam-1834	314	25	ind	ind	NOUN
ejpam-1834	314	26	e	e	NOUN
ejpam-1834	314	27	/	/	SYM
ejpam-1834	314	28	f	f	X
ejpam-1834	314	29	χ	χ	PROPN
ejpam-1834	314	30	is	be	AUX
ejpam-1834	314	31	bijection	bijection	ADJ
ejpam-1834	314	32	according	accord	VERB
ejpam-1834	314	33	to	to	ADP
ejpam-1834	314	34	[	[	X
ejpam-1834	314	35	5	5	NUM
ejpam-1834	314	36	,	,	PUNCT
ejpam-1834	314	37	p.	p.	NOUN
ejpam-1834	314	38	215	215	NUM
ejpam-1834	314	39	]	]	PUNCT
ejpam-1834	314	40	,	,	PUNCT
ejpam-1834	314	41	where	where	SCONJ
ejpam-1834	314	42	χ	χ	NOUN
ejpam-1834	314	43	is	be	AUX
ejpam-1834	314	44	a	a	DET
ejpam-1834	314	45	character	character	NOUN
ejpam-1834	314	46	of	of	ADP
ejpam-1834	314	47	we	we	PRON
ejpam-1834	314	48	via	via	ADP
ejpam-1834	314	49	the	the	DET
ejpam-1834	314	50	class	class	NOUN
ejpam-1834	314	51	field	field	NOUN
ejpam-1834	314	52	theory	theory	NOUN
ejpam-1834	314	53	isomorphism	isomorphism	PROPN
ejpam-1834	314	54	w	w	PROPN
ejpam-1834	314	55	ab	ab	PROPN
ejpam-1834	314	56	e	e	NOUN
ejpam-1834	314	57	∼=	∼=	PROPN
ejpam-1834	314	58	e×	e×	PROPN
ejpam-1834	314	59	and	and	CCONJ
ejpam-1834	314	60	ind	ind	PROPN
ejpam-1834	314	61	e	e	PROPN
ejpam-1834	314	62	/	/	SYM
ejpam-1834	314	63	f	f	PROPN
ejpam-1834	314	64	is	be	AUX
ejpam-1834	314	65	the	the	DET
ejpam-1834	314	66	functor	functor	NOUN
ejpam-1834	314	67	of	of	ADP
ejpam-1834	314	68	induction	induction	NOUN
ejpam-1834	314	69	from	from	ADP
ejpam-1834	314	70	representations	representation	NOUN
ejpam-1834	314	71	of	of	ADP
ejpam-1834	314	72	we	we	PRON
ejpam-1834	314	73	to	to	ADP
ejpam-1834	314	74	representations	representation	NOUN
ejpam-1834	314	75	of	of	ADP
ejpam-1834	314	76	wf	wf	PROPN
ejpam-1834	314	77	.	.	PUNCT
ejpam-1834	315	1	the	the	DET
ejpam-1834	315	2	tempered	temper	VERB
ejpam-1834	315	3	dual	dual	NOUN
ejpam-1834	315	4	of	of	ADP
ejpam-1834	315	5	gl(2	gl(2	NOUN
ejpam-1834	315	6	)	)	PUNCT
ejpam-1834	315	7	consists	consist	VERB
ejpam-1834	315	8	of	of	ADP
ejpam-1834	315	9	the	the	DET
ejpam-1834	315	10	cuspidal	cuspidal	NOUN
ejpam-1834	315	11	representations	representation	NOUN
ejpam-1834	315	12	with	with	ADP
ejpam-1834	315	13	unitary	unitary	ADJ
ejpam-1834	315	14	central	central	ADJ
ejpam-1834	315	15	character	character	NOUN
ejpam-1834	315	16	,	,	PUNCT
ejpam-1834	315	17	the	the	DET
ejpam-1834	315	18	unitary	unitary	ADJ
ejpam-1834	315	19	twists	twist	NOUN
ejpam-1834	315	20	of	of	ADP
ejpam-1834	315	21	the	the	DET
ejpam-1834	315	22	steinberg	steinberg	PROPN
ejpam-1834	315	23	representation	representation	NOUN
ejpam-1834	315	24	,	,	PUNCT
ejpam-1834	315	25	and	and	CCONJ
ejpam-1834	315	26	the	the	DET
ejpam-1834	315	27	unitary	unitary	ADJ
ejpam-1834	315	28	principal	principal	ADJ
ejpam-1834	315	29	series	series	NOUN
ejpam-1834	315	30	.	.	PUNCT
ejpam-1834	316	1	it	it	PRON
ejpam-1834	316	2	is	be	AUX
ejpam-1834	316	3	clear	clear	ADJ
ejpam-1834	316	4	that	that	SCONJ
ejpam-1834	316	5	in	in	ADP
ejpam-1834	316	6	the	the	DET
ejpam-1834	316	7	admissible	admissible	ADJ
ejpam-1834	316	8	pairs	pair	NOUN
ejpam-1834	316	9	we	we	PRON
ejpam-1834	316	10	can	can	AUX
ejpam-1834	316	11	describe	describe	VERB
ejpam-1834	316	12	what	what	PRON
ejpam-1834	316	13	is	be	AUX
ejpam-1834	316	14	happening	happen	VERB
ejpam-1834	316	15	so	so	ADV
ejpam-1834	316	16	we	we	PRON
ejpam-1834	316	17	further	far	ADV
ejpam-1834	316	18	restrict	restrict	VERB
ejpam-1834	316	19	ourselves	ourselves	PRON
ejpam-1834	316	20	to	to	ADP
ejpam-1834	316	21	admissible	admissible	ADJ
ejpam-1834	316	22	pairs	pair	NOUN
ejpam-1834	316	23	ϑ	ϑ	X
ejpam-1834	316	24	for	for	ADP
ejpam-1834	316	25	which	which	PRON
ejpam-1834	316	26	e	e	NOUN
ejpam-1834	316	27	/	/	SYM
ejpam-1834	316	28	f	f	X
ejpam-1834	316	29	is	be	AUX
ejpam-1834	316	30	totally	totally	ADV
ejpam-1834	316	31	ramified	ramify	VERB
ejpam-1834	316	32	and	and	CCONJ
ejpam-1834	316	33	χ	χ	NOUN
ejpam-1834	316	34	is	be	AUX
ejpam-1834	316	35	a	a	DET
ejpam-1834	316	36	unitary	unitary	ADJ
ejpam-1834	316	37	character	character	NOUN
ejpam-1834	316	38	.	.	PUNCT
ejpam-1834	317	1	this	this	PRON
ejpam-1834	317	2	ensures	ensure	VERB
ejpam-1834	317	3	that	that	SCONJ
ejpam-1834	317	4	π	π	PRON
ejpam-1834	317	5	:	:	PUNCT
ejpam-1834	317	6	=	=	SYM
ejpam-1834	317	7	ind	ind	PROPN
ejpam-1834	317	8	e	e	PROPN
ejpam-1834	317	9	/	/	SYM
ejpam-1834	317	10	f	f	X
ejpam-1834	317	11	χ	χ	NOUN
ejpam-1834	317	12	is	be	AUX
ejpam-1834	317	13	unitary	unitary	ADJ
ejpam-1834	317	14	.	.	PUNCT
ejpam-1834	318	1	therefore	therefore	ADV
ejpam-1834	318	2	det(π	det(π	PROPN
ejpam-1834	318	3	)	)	PUNCT
ejpam-1834	318	4	is	be	AUX
ejpam-1834	318	5	unitary	unitary	ADJ
ejpam-1834	318	6	and	and	CCONJ
ejpam-1834	318	7	τ(π	τ(π	PROPN
ejpam-1834	318	8	)	)	PUNCT
ejpam-1834	318	9	has	have	VERB
ejpam-1834	318	10	unitary	unitary	ADJ
ejpam-1834	318	11	central	central	ADJ
ejpam-1834	318	12	character	character	NOUN
ejpam-1834	318	13	.	.	PUNCT
ejpam-1834	319	1	the	the	DET
ejpam-1834	319	2	cuspidal	cuspidal	NOUN
ejpam-1834	319	3	representations	representation	NOUN
ejpam-1834	319	4	of	of	ADP
ejpam-1834	319	5	gl(2	gl(2	NOUN
ejpam-1834	319	6	)	)	PUNCT
ejpam-1834	319	7	with	with	ADP
ejpam-1834	319	8	unitary	unitary	ADJ
ejpam-1834	319	9	central	central	ADJ
ejpam-1834	319	10	character	character	NOUN
ejpam-1834	319	11	arrange	arrange	VERB
ejpam-1834	319	12	themselves	themselves	PRON
ejpam-1834	319	13	in	in	ADP
ejpam-1834	319	14	the	the	DET
ejpam-1834	319	15	tempered	temper	VERB
ejpam-1834	319	16	dual	dual	ADV
ejpam-1834	319	17	as	as	ADP
ejpam-1834	319	18	a	a	DET
ejpam-1834	319	19	countable	countable	ADJ
ejpam-1834	319	20	union	union	NOUN
ejpam-1834	319	21	of	of	ADP
ejpam-1834	319	22	circles	circle	NOUN
ejpam-1834	319	23	.	.	PUNCT
ejpam-1834	320	1	for	for	ADP
ejpam-1834	320	2	each	each	DET
ejpam-1834	320	3	circle	circle	NOUN
ejpam-1834	320	4	t	t	PROPN
ejpam-1834	320	5	,	,	PUNCT
ejpam-1834	320	6	we	we	PRON
ejpam-1834	320	7	select	select	VERB
ejpam-1834	320	8	an	an	DET
ejpam-1834	320	9	admissible	admissible	ADJ
ejpam-1834	320	10	pair	pair	NOUN
ejpam-1834	320	11	ϑ	ϑ	X
ejpam-1834	320	12	for	for	ADP
ejpam-1834	320	13	which	which	PRON
ejpam-1834	320	14	τ(π	τ(π	PROPN
ejpam-1834	320	15	)	)	PUNCT
ejpam-1834	320	16	∈	∈	PROPN
ejpam-1834	320	17	t	t	NOUN
ejpam-1834	320	18	and	and	CCONJ
ejpam-1834	320	19	label	label	VERB
ejpam-1834	320	20	this	this	DET
ejpam-1834	320	21	circle	circle	NOUN
ejpam-1834	320	22	as	as	SCONJ
ejpam-1834	320	23	tϑ.	tϑ.	PROPN
ejpam-1834	320	24	theorem	theorem	VERB
ejpam-1834	320	25	7	7	NUM
ejpam-1834	320	26	.	.	PUNCT
ejpam-1834	321	1	let	let	VERB
ejpam-1834	321	2	e′/f	e′/f	NOUN
ejpam-1834	321	3	be	be	AUX
ejpam-1834	321	4	an	an	DET
ejpam-1834	321	5	unramified	unramifie	VERB
ejpam-1834	321	6	extension	extension	NOUN
ejpam-1834	321	7	of	of	ADP
ejpam-1834	321	8	odd	odd	ADJ
ejpam-1834	321	9	degree	degree	NOUN
ejpam-1834	321	10	.	.	PUNCT
ejpam-1834	322	1	then	then	ADV
ejpam-1834	322	2	we	we	PRON
ejpam-1834	322	3	have	have	VERB
ejpam-1834	322	4	:	:	PUNCT
ejpam-1834	322	5	(	(	PUNCT
ejpam-1834	322	6	i	i	NOUN
ejpam-1834	322	7	)	)	PUNCT
ejpam-1834	322	8	base	base	NOUN
ejpam-1834	322	9	change	change	NOUN
ejpam-1834	322	10	is	be	AUX
ejpam-1834	322	11	a	a	DET
ejpam-1834	322	12	proper	proper	ADJ
ejpam-1834	322	13	map	map	NOUN
ejpam-1834	322	14	.	.	PUNCT
ejpam-1834	323	1	(	(	PUNCT
ejpam-1834	323	2	ii	ii	NOUN
ejpam-1834	323	3	)	)	PUNCT
ejpam-1834	323	4	when	when	SCONJ
ejpam-1834	323	5	we	we	PRON
ejpam-1834	323	6	restrict	restrict	VERB
ejpam-1834	323	7	base	base	NOUN
ejpam-1834	323	8	change	change	NOUN
ejpam-1834	323	9	to	to	ADP
ejpam-1834	323	10	one	one	NUM
ejpam-1834	323	11	circle	circle	NOUN
ejpam-1834	323	12	we	we	PRON
ejpam-1834	323	13	get	get	VERB
ejpam-1834	323	14	the	the	DET
ejpam-1834	323	15	following	following	NOUN
ejpam-1834	323	16	:	:	PUNCT
ejpam-1834	323	17	bc	bc	PROPN
ejpam-1834	323	18	:	:	PUNCT
ejpam-1834	323	19	tϑ→	tϑ→	ADJ
ejpam-1834	323	20	t(ee′/e′	t(ee′/e′	PROPN
ejpam-1834	323	21	,	,	PUNCT
ejpam-1834	323	22	χ	χ	PRON
ejpam-1834	323	23	e′	e′	PROPN
ejpam-1834	323	24	)	)	PUNCT
ejpam-1834	323	25	,	,	PUNCT
ejpam-1834	324	1	z	z	NOUN
ejpam-1834	324	2	7→	7→	NUM
ejpam-1834	324	3	z	z	NOUN
ejpam-1834	324	4	f	f	NOUN
ejpam-1834	324	5	(	(	PUNCT
ejpam-1834	324	6	e′/f	e′/f	NOUN
ejpam-1834	324	7	)	)	PUNCT
ejpam-1834	324	8	with	with	ADP
ejpam-1834	324	9	χ	χ	PRON
ejpam-1834	324	10	e′	e′	PROPN
ejpam-1834	324	11	=	=	SYM
ejpam-1834	324	12	χ	χ	SYM
ejpam-1834	324	13	◦	◦	NOUN
ejpam-1834	324	14	n	n	PRON
ejpam-1834	324	15	ee′/e	ee′/e	NOUN
ejpam-1834	324	16	.	.	PUNCT
ejpam-1834	325	1	proof	proof	NOUN
ejpam-1834	325	2	.	.	PUNCT
ejpam-1834	326	1	since	since	SCONJ
ejpam-1834	326	2	we	we	PRON
ejpam-1834	326	3	are	be	AUX
ejpam-1834	326	4	considering	consider	VERB
ejpam-1834	326	5	circles	circle	NOUN
ejpam-1834	326	6	indexed	index	VERB
ejpam-1834	326	7	by	by	ADP
ejpam-1834	326	8	characters	character	NOUN
ejpam-1834	326	9	of	of	ADP
ejpam-1834	326	10	óuf	óuf	PROPN
ejpam-1834	326	11	,	,	PUNCT
ejpam-1834	326	12	then	then	ADV
ejpam-1834	326	13	the	the	DET
ejpam-1834	326	14	base	base	NOUN
ejpam-1834	326	15	change	change	NOUN
ejpam-1834	326	16	maps	map	VERB
ejpam-1834	326	17	each	each	DET
ejpam-1834	326	18	circle	circle	NOUN
ejpam-1834	326	19	into	into	ADP
ejpam-1834	326	20	one	one	NUM
ejpam-1834	326	21	precise	precise	ADJ
ejpam-1834	326	22	circle	circle	NOUN
ejpam-1834	326	23	.	.	PUNCT
ejpam-1834	327	1	let	let	VERB
ejpam-1834	327	2	d	d	PRON
ejpam-1834	327	3	be	be	AUX
ejpam-1834	327	4	a	a	DET
ejpam-1834	327	5	compact	compact	ADJ
ejpam-1834	327	6	subset	subset	NOUN
ejpam-1834	327	7	of	of	ADP
ejpam-1834	327	8	tχ	tχ	ADP
ejpam-1834	327	9	e′	e′	PROPN
ejpam-1834	327	10	which	which	PRON
ejpam-1834	327	11	is	be	AUX
ejpam-1834	327	12	a	a	DET
ejpam-1834	327	13	closed	closed	ADJ
ejpam-1834	327	14	arc	arc	NOUN
ejpam-1834	327	15	in	in	ADP
ejpam-1834	327	16	tχ	tχ	ADP
ejpam-1834	327	17	e′	e′	PROPN
ejpam-1834	327	18	.	.	PUNCT
ejpam-1834	328	1	then	then	ADV
ejpam-1834	328	2	we	we	PRON
ejpam-1834	328	3	may	may	AUX
ejpam-1834	328	4	write	write	VERB
ejpam-1834	328	5	d=	d=	NOUN
ejpam-1834	328	6	{	{	PUNCT
ejpam-1834	328	7	eiθ	eiθ	NOUN
ejpam-1834	328	8	∈	∈	NOUN
ejpam-1834	328	9	tχ	tχ	ADP
ejpam-1834	328	10	e′	e′	NOUN
ejpam-1834	328	11	:	:	PUNCT
ejpam-1834	328	12	θ0	θ0	PROPN
ejpam-1834	328	13	≤	≤	NUM
ejpam-1834	328	14	θ	θ	PROPN
ejpam-1834	328	15	≤	≤	NOUN
ejpam-1834	328	16	θ1	θ1	NOUN
ejpam-1834	328	17	,	,	PUNCT
ejpam-1834	328	18	θ	θ	PROPN
ejpam-1834	328	19	∈	∈	PROPN
ejpam-1834	329	1	[	[	X
ejpam-1834	329	2	0	0	NUM
ejpam-1834	329	3	,	,	PUNCT
ejpam-1834	329	4	2π	2π	NOUN
ejpam-1834	329	5	]	]	PUNCT
ejpam-1834	329	6	}	}	PUNCT
ejpam-1834	329	7	,	,	PUNCT
ejpam-1834	329	8	w.	w.	PROPN
ejpam-1834	329	9	aeal	aeal	PROPN
ejpam-1834	329	10	/	/	SYM
ejpam-1834	329	11	eur	eur	PROPN
ejpam-1834	329	12	.	.	PUNCT
ejpam-1834	330	1	j.	j.	PROPN
ejpam-1834	330	2	pure	pure	PROPN
ejpam-1834	330	3	appl	appl	PROPN
ejpam-1834	330	4	.	.	PROPN
ejpam-1834	330	5	math	math	PROPN
ejpam-1834	330	6	,	,	PUNCT
ejpam-1834	330	7	6	6	NUM
ejpam-1834	330	8	(	(	PUNCT
ejpam-1834	330	9	2013	2013	NUM
ejpam-1834	330	10	)	)	PUNCT
ejpam-1834	330	11	,	,	PUNCT
ejpam-1834	330	12	282	282	NUM
ejpam-1834	330	13	-	-	SYM
ejpam-1834	330	14	298	298	NUM
ejpam-1834	330	15	295	295	NUM
ejpam-1834	330	16	and	and	CCONJ
ejpam-1834	330	17	we	we	PRON
ejpam-1834	330	18	have	have	VERB
ejpam-1834	330	19	the	the	DET
ejpam-1834	330	20	pre	pre	NOUN
ejpam-1834	330	21	-	-	NOUN
ejpam-1834	330	22	image	image	NOUN
ejpam-1834	330	23	of	of	ADP
ejpam-1834	330	24	this	this	DET
ejpam-1834	330	25	arc	arc	NOUN
ejpam-1834	330	26	bc−1(d	bc−1(d	NOUN
ejpam-1834	330	27	)	)	PUNCT
ejpam-1834	330	28	=	=	PRON
ejpam-1834	331	1	{	{	PUNCT
ejpam-1834	331	2	eiθ	eiθ	NOUN
ejpam-1834	331	3	∈	∈	NOUN
ejpam-1834	331	4	tχf	tχf	NOUN
ejpam-1834	331	5	:	:	PUNCT
ejpam-1834	331	6	θ0/	θ0/	VERB
ejpam-1834	331	7	f	f	PROPN
ejpam-1834	331	8	≤	≤	NUM
ejpam-1834	331	9	θ	θ	PROPN
ejpam-1834	331	10	≤	≤	X
ejpam-1834	331	11	θ1/	θ1/	PART
ejpam-1834	331	12	f	f	PROPN
ejpam-1834	331	13	,	,	PUNCT
ejpam-1834	331	14	θ	θ	PROPN
ejpam-1834	331	15	∈	∈	PROPN
ejpam-1834	332	1	[	[	X
ejpam-1834	332	2	0,2π	0,2π	NOUN
ejpam-1834	332	3	]	]	X
ejpam-1834	332	4	}	}	PUNCT
ejpam-1834	332	5	which	which	PRON
ejpam-1834	332	6	is	be	AUX
ejpam-1834	332	7	closed	close	VERB
ejpam-1834	332	8	arc	arc	NOUN
ejpam-1834	332	9	in	in	ADP
ejpam-1834	332	10	tχf	tχf	NOUN
ejpam-1834	332	11	.	.	PUNCT
ejpam-1834	333	1	it	it	PRON
ejpam-1834	333	2	follows	follow	VERB
ejpam-1834	333	3	that	that	DET
ejpam-1834	333	4	bc−1(d	bc−1(d	NOUN
ejpam-1834	333	5	)	)	PUNCT
ejpam-1834	333	6	is	be	AUX
ejpam-1834	333	7	compact	compact	ADJ
ejpam-1834	333	8	.	.	PUNCT
ejpam-1834	334	1	therefore	therefore	ADV
ejpam-1834	334	2	,	,	PUNCT
ejpam-1834	334	3	the	the	DET
ejpam-1834	334	4	base	base	NOUN
ejpam-1834	334	5	change	change	NOUN
ejpam-1834	334	6	map	map	NOUN
ejpam-1834	334	7	bc	bc	PROPN
ejpam-1834	334	8	is	be	AUX
ejpam-1834	334	9	a	a	DET
ejpam-1834	334	10	proper	proper	ADJ
ejpam-1834	334	11	map	map	NOUN
ejpam-1834	334	12	and	and	CCONJ
ejpam-1834	334	13	then	then	ADV
ejpam-1834	334	14	(	(	PUNCT
ejpam-1834	334	15	1	1	X
ejpam-1834	334	16	)	)	PUNCT
ejpam-1834	334	17	has	have	AUX
ejpam-1834	334	18	been	be	AUX
ejpam-1834	334	19	proved	prove	VERB
ejpam-1834	334	20	.	.	PUNCT
ejpam-1834	335	1	now	now	ADV
ejpam-1834	335	2	,	,	PUNCT
ejpam-1834	335	3	let	let	VERB
ejpam-1834	335	4	ρ	ρ	NUM
ejpam-1834	335	5	∈	∈	PROPN
ejpam-1834	335	6	g	g	PROPN
ejpam-1834	335	7	0	0	NUM
ejpam-1834	335	8	2	2	NUM
ejpam-1834	335	9	(	(	PUNCT
ejpam-1834	335	10	f	f	NOUN
ejpam-1834	335	11	)	)	PUNCT
ejpam-1834	335	12	,	,	PUNCT
ejpam-1834	335	13	then	then	ADV
ejpam-1834	335	14	the	the	DET
ejpam-1834	335	15	order	order	NOUN
ejpam-1834	335	16	of	of	ADP
ejpam-1834	335	17	the	the	DET
ejpam-1834	335	18	cyclic	cyclic	ADJ
ejpam-1834	335	19	group	group	NOUN
ejpam-1834	335	20	of	of	ADP
ejpam-1834	335	21	all	all	DET
ejpam-1834	335	22	unramified	unramifie	VERB
ejpam-1834	335	23	characters	character	NOUN
ejpam-1834	335	24	χ	χ	PRON
ejpam-1834	335	25	such	such	ADJ
ejpam-1834	335	26	that	that	PRON
ejpam-1834	335	27	χρ	χρ	PROPN
ejpam-1834	335	28	'	'	PUNCT
ejpam-1834	335	29	ρ	ρ	NOUN
ejpam-1834	335	30	is	be	AUX
ejpam-1834	335	31	called	call	VERB
ejpam-1834	335	32	a	a	DET
ejpam-1834	335	33	torsion	torsion	NOUN
ejpam-1834	335	34	number	number	NOUN
ejpam-1834	335	35	of	of	ADP
ejpam-1834	335	36	ρ	ρ	PROPN
ejpam-1834	335	37	and	and	CCONJ
ejpam-1834	335	38	denotes	denote	NOUN
ejpam-1834	335	39	by	by	ADP
ejpam-1834	335	40	ν(ρ	ν(ρ	PROPN
ejpam-1834	335	41	)	)	PUNCT
ejpam-1834	335	42	.	.	PUNCT
ejpam-1834	336	1	put	put	VERB
ejpam-1834	336	2	σ	σ	NOUN
ejpam-1834	336	3	=	=	PUNCT
ejpam-1834	336	4	ind	ind	PROPN
ejpam-1834	336	5	e	e	PROPN
ejpam-1834	336	6	/	/	SYM
ejpam-1834	336	7	f	f	PROPN
ejpam-1834	336	8	χ	χ	NOUN
ejpam-1834	336	9	,	,	PUNCT
ejpam-1834	336	10	π=	π=	PROPN
ejpam-1834	336	11	τ(σ	τ(σ	PROPN
ejpam-1834	336	12	)	)	PUNCT
ejpam-1834	336	13	and	and	CCONJ
ejpam-1834	336	14	σ	σ	NOUN
ejpam-1834	336	15	e′	e′	X
ejpam-1834	337	1	=	=	SYM
ejpam-1834	337	2	ind	ind	PROPN
ejpam-1834	337	3	ee′/e′	ee′/e′	NOUN
ejpam-1834	337	4	χ	χ	X
ejpam-1834	337	5	e′	e′	PROPN
ejpam-1834	337	6	=	=	SYM
ejpam-1834	337	7	σ|we′	σ|we′	PROPN
ejpam-1834	337	8	.	.	PUNCT
ejpam-1834	338	1	the	the	DET
ejpam-1834	338	2	proof	proof	NOUN
ejpam-1834	338	3	of	of	ADP
ejpam-1834	338	4	theorem	theorem	ADJ
ejpam-1834	338	5	3.3	3.3	NUM
ejpam-1834	338	6	in	in	ADP
ejpam-1834	338	7	[	[	X
ejpam-1834	338	8	7	7	X
ejpam-1834	338	9	]	]	PUNCT
ejpam-1834	338	10	shows	show	VERB
ejpam-1834	338	11	that	that	SCONJ
ejpam-1834	338	12	the	the	DET
ejpam-1834	338	13	representation	representation	NOUN
ejpam-1834	338	14	σ	σ	PROPN
ejpam-1834	338	15	is	be	AUX
ejpam-1834	338	16	totally	totally	ADV
ejpam-1834	338	17	ramified	ramify	VERB
ejpam-1834	338	18	,	,	PUNCT
ejpam-1834	338	19	in	in	ADP
ejpam-1834	338	20	the	the	DET
ejpam-1834	338	21	sense	sense	NOUN
ejpam-1834	338	22	that	that	SCONJ
ejpam-1834	338	23	ν(σ	ν(σ	NOUN
ejpam-1834	338	24	)	)	PUNCT
ejpam-1834	338	25	=	=	SYM
ejpam-1834	338	26	1	1	X
ejpam-1834	338	27	.	.	X
ejpam-1834	338	28	theorem	theorem	VERB
ejpam-1834	338	29	4.6	4.6	NUM
ejpam-1834	338	30	in	in	ADP
ejpam-1834	338	31	the	the	DET
ejpam-1834	338	32	same	same	ADJ
ejpam-1834	338	33	reference	reference	NOUN
ejpam-1834	338	34	shows	show	VERB
ejpam-1834	338	35	that	that	SCONJ
ejpam-1834	338	36	the	the	DET
ejpam-1834	338	37	pair	pair	NOUN
ejpam-1834	338	38	(	(	PUNCT
ejpam-1834	338	39	ee′/e′,χe′	ee′/e′,χe′	PROPN
ejpam-1834	338	40	)	)	PUNCT
ejpam-1834	338	41	is	be	AUX
ejpam-1834	338	42	admissible	admissible	ADJ
ejpam-1834	338	43	.	.	PUNCT
ejpam-1834	339	1	also	also	ADV
ejpam-1834	339	2	,	,	PUNCT
ejpam-1834	339	3	we	we	PRON
ejpam-1834	339	4	have	have	VERB
ejpam-1834	339	5	the	the	DET
ejpam-1834	339	6	map	map	NOUN
ejpam-1834	339	7	τ(σe′	τ(σe′	PUNCT
ejpam-1834	339	8	)	)	PUNCT
ejpam-1834	340	1	=	=	SYM
ejpam-1834	340	2	bce′/fπ	bce′/fπ	NOUN
ejpam-1834	340	3	.	.	PUNCT
ejpam-1834	341	1	by	by	ADP
ejpam-1834	341	2	proposition	proposition	NOUN
ejpam-1834	341	3	7.2	7.2	NUM
ejpam-1834	341	4	in	in	ADP
ejpam-1834	341	5	[	[	X
ejpam-1834	341	6	16	16	NUM
ejpam-1834	341	7	]	]	PUNCT
ejpam-1834	341	8	,	,	PUNCT
ejpam-1834	341	9	ee′/e	ee′/e	NOUN
ejpam-1834	341	10	is	be	AUX
ejpam-1834	341	11	unramified	unramifie	VERB
ejpam-1834	341	12	,	,	PUNCT
ejpam-1834	341	13	whenever	whenever	SCONJ
ejpam-1834	341	14	the	the	DET
ejpam-1834	341	15	extension	extension	NOUN
ejpam-1834	341	16	e′/f	e′/f	NOUN
ejpam-1834	341	17	is	be	AUX
ejpam-1834	341	18	unramified	unramifie	VERB
ejpam-1834	341	19	and	and	CCONJ
ejpam-1834	341	20	eee′/f	eee′/f	PROPN
ejpam-1834	341	21	=	=	SYM
ejpam-1834	341	22	eee′/e′	eee′/e′	PROPN
ejpam-1834	341	23	×	×	NOUN
ejpam-1834	341	24	ee′/f	ee′/f	NOUN
ejpam-1834	342	1	=	=	PUNCT
ejpam-1834	342	2	eee′/e	eee′/e	NUM
ejpam-1834	342	3	×	×	PROPN
ejpam-1834	342	4	ee	ee	PROPN
ejpam-1834	342	5	/	/	SYM
ejpam-1834	342	6	f	f	PROPN
ejpam-1834	342	7	.	.	PUNCT
ejpam-1834	343	1	and	and	CCONJ
ejpam-1834	343	2	it	it	PRON
ejpam-1834	343	3	follows	follow	VERB
ejpam-1834	343	4	that	that	PRON
ejpam-1834	343	5	eee′/e′	eee′/e′	PROPN
ejpam-1834	343	6	=	=	SYM
ejpam-1834	343	7	ee	ee	PROPN
ejpam-1834	343	8	/	/	SYM
ejpam-1834	343	9	f	f	PROPN
ejpam-1834	344	1	=	=	SYM
ejpam-1834	344	2	2	2	X
ejpam-1834	344	3	.	.	PUNCT
ejpam-1834	344	4	since	since	SCONJ
ejpam-1834	344	5	ee′/e′	ee′/e′	PROPN
ejpam-1834	344	6	is	be	AUX
ejpam-1834	344	7	quadratic	quadratic	ADJ
ejpam-1834	344	8	extension	extension	NOUN
ejpam-1834	344	9	,	,	PUNCT
ejpam-1834	344	10	ee′/e′	ee′/e′	PROPN
ejpam-1834	344	11	is	be	AUX
ejpam-1834	344	12	totally	totally	ADV
ejpam-1834	344	13	ramified	ramify	VERB
ejpam-1834	344	14	.	.	PUNCT
ejpam-1834	345	1	therefore	therefore	ADV
ejpam-1834	345	2	σe′	σe′	PRON
ejpam-1834	345	3	is	be	AUX
ejpam-1834	345	4	totally	totally	ADV
ejpam-1834	345	5	ramified	ramify	VERB
ejpam-1834	345	6	,	,	PUNCT
ejpam-1834	345	7	in	in	ADP
ejpam-1834	345	8	another	another	DET
ejpam-1834	345	9	words	word	NOUN
ejpam-1834	345	10	ν(σe′	ν(σe′	NOUN
ejpam-1834	345	11	)	)	PUNCT
ejpam-1834	345	12	=	=	SYM
ejpam-1834	346	1	1	1	X
ejpam-1834	346	2	.	.	PUNCT
ejpam-1834	346	3	therefore	therefore	ADV
ejpam-1834	346	4	,	,	PUNCT
ejpam-1834	346	5	the	the	DET
ejpam-1834	346	6	base	base	NOUN
ejpam-1834	346	7	change	change	NOUN
ejpam-1834	346	8	maps	map	VERB
ejpam-1834	346	9	each	each	DET
ejpam-1834	346	10	circle	circle	NOUN
ejpam-1834	346	11	to	to	ADP
ejpam-1834	346	12	another	another	DET
ejpam-1834	346	13	circle	circle	NOUN
ejpam-1834	346	14	and	and	CCONJ
ejpam-1834	346	15	its	its	AUX
ejpam-1834	346	16	given	give	VERB
ejpam-1834	346	17	by	by	ADP
ejpam-1834	346	18	z	z	PROPN
ejpam-1834	346	19	7−→	7−→	PROPN
ejpam-1834	346	20	z	z	NOUN
ejpam-1834	346	21	f	f	X
ejpam-1834	346	22	(	(	PUNCT
ejpam-1834	346	23	e′/f	e′/f	NOUN
ejpam-1834	346	24	)	)	PUNCT
ejpam-1834	346	25	.	.	PUNCT
ejpam-1834	347	1	if	if	SCONJ
ejpam-1834	347	2	the	the	DET
ejpam-1834	347	3	extension	extension	NOUN
ejpam-1834	347	4	e′/f	e′/f	NOUN
ejpam-1834	347	5	is	be	AUX
ejpam-1834	347	6	a	a	DET
ejpam-1834	347	7	finite	finite	NOUN
ejpam-1834	347	8	unramified	unramifie	VERB
ejpam-1834	347	9	galois	galois	PROPN
ejpam-1834	347	10	extension	extension	NOUN
ejpam-1834	347	11	,	,	PUNCT
ejpam-1834	347	12	then	then	ADV
ejpam-1834	347	13	the	the	DET
ejpam-1834	347	14	cuspidal	cuspidal	ADJ
ejpam-1834	347	15	part	part	NOUN
ejpam-1834	347	16	of	of	ADP
ejpam-1834	347	17	the	the	DET
ejpam-1834	347	18	tempered	temper	VERB
ejpam-1834	347	19	dual	dual	NOUN
ejpam-1834	347	20	of	of	ADP
ejpam-1834	347	21	gl(2	gl(2	NOUN
ejpam-1834	347	22	)	)	PUNCT
ejpam-1834	347	23	is	be	AUX
ejpam-1834	347	24	a	a	DET
ejpam-1834	347	25	countable	countable	ADJ
ejpam-1834	347	26	disjoint	disjoint	NOUN
ejpam-1834	347	27	union	union	NOUN
ejpam-1834	347	28	of	of	ADP
ejpam-1834	347	29	circles	circle	NOUN
ejpam-1834	347	30	and	and	CCONJ
ejpam-1834	347	31	has	have	VERB
ejpam-1834	347	32	the	the	DET
ejpam-1834	347	33	structure	structure	NOUN
ejpam-1834	347	34	of	of	ADP
ejpam-1834	347	35	a	a	DET
ejpam-1834	347	36	locally	locally	ADV
ejpam-1834	347	37	compact	compact	ADJ
ejpam-1834	347	38	hausdorff	hausdorff	NOUN
ejpam-1834	347	39	space	space	NOUN
ejpam-1834	347	40	.	.	PUNCT
ejpam-1834	348	1	the	the	DET
ejpam-1834	348	2	base	base	NOUN
ejpam-1834	348	3	change	change	NOUN
ejpam-1834	348	4	map	map	NOUN
ejpam-1834	348	5	bc	bc	PROPN
ejpam-1834	348	6	:	:	PUNCT
ejpam-1834	348	7	⊔	⊔	PROPN
ejpam-1834	348	8	tϑ→	tϑ→	ADJ
ejpam-1834	349	1	⊔	⊔	PROPN
ejpam-1834	350	1	tζ	tζ	INTJ
ejpam-1834	350	2	is	be	AUX
ejpam-1834	350	3	a	a	DET
ejpam-1834	350	4	proper	proper	ADJ
ejpam-1834	350	5	map	map	NOUN
ejpam-1834	350	6	,	,	PUNCT
ejpam-1834	350	7	where	where	SCONJ
ejpam-1834	350	8	ϑ	ϑ	X
ejpam-1834	350	9	an	an	DET
ejpam-1834	350	10	admissible	admissible	ADJ
ejpam-1834	350	11	pair	pair	NOUN
ejpam-1834	350	12	,	,	PUNCT
ejpam-1834	350	13	e	e	X
ejpam-1834	350	14	/	/	SYM
ejpam-1834	350	15	f	f	PROPN
ejpam-1834	350	16	totally	totally	ADV
ejpam-1834	350	17	ramified	ramify	VERB
ejpam-1834	350	18	,	,	PUNCT
ejpam-1834	350	19	χ	χ	PRON
ejpam-1834	350	20	unitary	unitary	ADJ
ejpam-1834	350	21	and	and	CCONJ
ejpam-1834	350	22	ζ=	ζ=	ADJ
ejpam-1834	350	23	(	(	PUNCT
ejpam-1834	350	24	ee′/e′,η	ee′/e′,η	NUM
ejpam-1834	350	25	)	)	PUNCT
ejpam-1834	350	26	.	.	PUNCT
ejpam-1834	351	1	therefore	therefore	ADV
ejpam-1834	351	2	,	,	PUNCT
ejpam-1834	351	3	there	there	PRON
ejpam-1834	351	4	is	be	VERB
ejpam-1834	351	5	a	a	DET
ejpam-1834	351	6	functorial	functorial	NOUN
ejpam-1834	351	7	map	map	NOUN
ejpam-1834	351	8	at	at	ADP
ejpam-1834	351	9	the	the	DET
ejpam-1834	351	10	level	level	NOUN
ejpam-1834	351	11	of	of	ADP
ejpam-1834	351	12	k	k	NOUN
ejpam-1834	351	13	-	-	NOUN
ejpam-1834	351	14	theory	theory	NOUN
ejpam-1834	351	15	groups	group	NOUN
ejpam-1834	351	16	k	k	PROPN
ejpam-1834	351	17	j(bc	j(bc	PROPN
ejpam-1834	351	18	)	)	PUNCT
ejpam-1834	351	19	:	:	PUNCT
ejpam-1834	351	20	⊕	⊕	PROPN
ejpam-1834	351	21	zζ→	zζ→	PROPN
ejpam-1834	351	22	⊕	⊕	PROPN
ejpam-1834	351	23	zϑ.	zϑ.	NOUN
ejpam-1834	351	24	each	each	PRON
ejpam-1834	351	25	k	k	NOUN
ejpam-1834	351	26	-	-	NOUN
ejpam-1834	351	27	group	group	NOUN
ejpam-1834	351	28	is	be	AUX
ejpam-1834	351	29	a	a	DET
ejpam-1834	351	30	countably	countably	ADV
ejpam-1834	351	31	generated	generate	VERB
ejpam-1834	351	32	free	free	ADJ
ejpam-1834	351	33	abelian	abelian	PROPN
ejpam-1834	351	34	group	group	NOUN
ejpam-1834	351	35	:	:	PUNCT
ejpam-1834	351	36	k	k	PROPN
ejpam-1834	351	37	j	j	PROPN
ejpam-1834	351	38	(	(	PUNCT
ejpam-1834	351	39	⊔	⊔	NOUN
ejpam-1834	351	40	tϑ)∼=	tϑ)∼=	NOUN
ejpam-1834	351	41	⊕	⊕	PROPN
ejpam-1834	351	42	zϑ	zϑ	PROPN
ejpam-1834	351	43	,	,	PUNCT
ejpam-1834	351	44	k	k	PROPN
ejpam-1834	351	45	j	j	PROPN
ejpam-1834	351	46	(	(	PUNCT
ejpam-1834	351	47	⊔	⊔	PROPN
ejpam-1834	351	48	tζ)∼=	tζ)∼=	PROPN
ejpam-1834	351	49	⊕	⊕	PROPN
ejpam-1834	351	50	zζ	zζ	PROPN
ejpam-1834	351	51	,	,	PUNCT
ejpam-1834	351	52	where	where	SCONJ
ejpam-1834	351	53	zϑ	zϑ	PROPN
ejpam-1834	351	54	and	and	CCONJ
ejpam-1834	351	55	zζ	zζ	PROPN
ejpam-1834	351	56	denote	denote	VERB
ejpam-1834	351	57	a	a	DET
ejpam-1834	351	58	copy	copy	NOUN
ejpam-1834	351	59	of	of	ADP
ejpam-1834	351	60	z	z	PROPN
ejpam-1834	351	61	,	,	PUNCT
ejpam-1834	351	62	j	j	PROPN
ejpam-1834	351	63	=	=	SYM
ejpam-1834	351	64	0	0	NUM
ejpam-1834	351	65	,	,	PUNCT
ejpam-1834	351	66	1	1	NUM
ejpam-1834	351	67	.	.	PUNCT
ejpam-1834	352	1	the	the	DET
ejpam-1834	352	2	base	base	NOUN
ejpam-1834	352	3	change	change	NOUN
ejpam-1834	352	4	map	map	NOUN
ejpam-1834	352	5	selects	select	NOUN
ejpam-1834	352	6	among	among	ADP
ejpam-1834	352	7	the	the	DET
ejpam-1834	352	8	admissible	admissible	ADJ
ejpam-1834	352	9	pairs	pair	NOUN
ejpam-1834	352	10	ζ	ζ	VERB
ejpam-1834	352	11	those	those	PRON
ejpam-1834	352	12	of	of	ADP
ejpam-1834	352	13	the	the	DET
ejpam-1834	352	14	form	form	NOUN
ejpam-1834	352	15	(	(	PUNCT
ejpam-1834	352	16	ee′/e′,χ	ee′/e′,χ	NOUN
ejpam-1834	352	17	e′	e′	X
ejpam-1834	352	18	)	)	PUNCT
ejpam-1834	352	19	,	,	PUNCT
ejpam-1834	352	20	where	where	SCONJ
ejpam-1834	352	21	χ	χ	X
ejpam-1834	352	22	e′	e′	X
ejpam-1834	352	23	=	=	SYM
ejpam-1834	352	24	χ	χ	SYM
ejpam-1834	352	25	◦	◦	NOUN
ejpam-1834	352	26	nee′/e	nee′/e	ADP
ejpam-1834	352	27	.	.	PUNCT
ejpam-1834	353	1	w.	w.	PROPN
ejpam-1834	353	2	aeal	aeal	PROPN
ejpam-1834	353	3	/	/	SYM
ejpam-1834	353	4	eur	eur	PROPN
ejpam-1834	353	5	.	.	PUNCT
ejpam-1834	354	1	j.	j.	PROPN
ejpam-1834	354	2	pure	pure	PROPN
ejpam-1834	354	3	appl	appl	PROPN
ejpam-1834	354	4	.	.	PROPN
ejpam-1834	354	5	math	math	PROPN
ejpam-1834	354	6	,	,	PUNCT
ejpam-1834	354	7	6	6	NUM
ejpam-1834	354	8	(	(	PUNCT
ejpam-1834	354	9	2013	2013	NUM
ejpam-1834	354	10	)	)	PUNCT
ejpam-1834	354	11	,	,	PUNCT
ejpam-1834	354	12	282	282	NUM
ejpam-1834	354	13	-	-	SYM
ejpam-1834	354	14	298	298	NUM
ejpam-1834	354	15	296	296	NUM
ejpam-1834	354	16	theorem	theorem	NOUN
ejpam-1834	354	17	8	8	NUM
ejpam-1834	354	18	.	.	PUNCT
ejpam-1834	355	1	when	when	SCONJ
ejpam-1834	355	2	we	we	PRON
ejpam-1834	355	3	restrict	restrict	VERB
ejpam-1834	355	4	k1(bc	k1(bc	PROPN
ejpam-1834	355	5	)	)	PUNCT
ejpam-1834	355	6	to	to	ADP
ejpam-1834	355	7	the	the	DET
ejpam-1834	355	8	direct	direct	ADJ
ejpam-1834	355	9	summand	summand	NOUN
ejpam-1834	355	10	z(ee′/e′,χ	z(ee′/e′,χ	PROPN
ejpam-1834	355	11	e′	e′	PROPN
ejpam-1834	355	12	)	)	PUNCT
ejpam-1834	356	1	we	we	PRON
ejpam-1834	356	2	get	get	VERB
ejpam-1834	356	3	the	the	DET
ejpam-1834	356	4	following	follow	VERB
ejpam-1834	356	5	map	map	NOUN
ejpam-1834	356	6	:	:	PUNCT
ejpam-1834	356	7	z(ee′/e′,χ	z(ee′/e′,χ	PROPN
ejpam-1834	356	8	e′	e′	NOUN
ejpam-1834	356	9	)	)	PUNCT
ejpam-1834	357	1	−→	−→	ADJ
ejpam-1834	357	2	zϑ	zϑ	NOUN
ejpam-1834	357	3	,	,	PUNCT
ejpam-1834	357	4	x	x	PROPN
ejpam-1834	357	5	7−→	7−→	NOUN
ejpam-1834	357	6	f	f	X
ejpam-1834	357	7	(	(	PUNCT
ejpam-1834	357	8	e′/f	e′/f	NOUN
ejpam-1834	357	9	)	)	PUNCT
ejpam-1834	357	10	·	·	PUNCT
ejpam-1834	357	11	x	x	X
ejpam-1834	357	12	.	.	PUNCT
ejpam-1834	358	1	on	on	ADP
ejpam-1834	358	2	the	the	DET
ejpam-1834	358	3	remaining	remain	VERB
ejpam-1834	358	4	direct	direct	ADJ
ejpam-1834	358	5	summands	summand	NOUN
ejpam-1834	358	6	,	,	PUNCT
ejpam-1834	358	7	k1(bc	k1(bc	PROPN
ejpam-1834	358	8	)	)	PUNCT
ejpam-1834	358	9	=	=	SYM
ejpam-1834	358	10	0	0	X
ejpam-1834	358	11	.	.	PUNCT
ejpam-1834	359	1	when	when	SCONJ
ejpam-1834	359	2	we	we	PRON
ejpam-1834	359	3	restrict	restrict	VERB
ejpam-1834	359	4	k0(bc	k0(bc	PROPN
ejpam-1834	359	5	)	)	PUNCT
ejpam-1834	359	6	to	to	ADP
ejpam-1834	359	7	the	the	DET
ejpam-1834	359	8	direct	direct	ADJ
ejpam-1834	359	9	summand	summand	NOUN
ejpam-1834	359	10	z(ee′/e′,χ	z(ee′/e′,χ	PROPN
ejpam-1834	359	11	e′	e′	PROPN
ejpam-1834	359	12	)	)	PUNCT
ejpam-1834	360	1	we	we	PRON
ejpam-1834	360	2	get	get	VERB
ejpam-1834	360	3	the	the	DET
ejpam-1834	360	4	following	follow	VERB
ejpam-1834	360	5	map	map	NOUN
ejpam-1834	360	6	:	:	PUNCT
ejpam-1834	360	7	z(ee′/e′,χ	z(ee′/e′,χ	PROPN
ejpam-1834	360	8	e′	e′	NOUN
ejpam-1834	360	9	)	)	PUNCT
ejpam-1834	361	1	−→	−→	ADJ
ejpam-1834	361	2	zϑ	zϑ	NOUN
ejpam-1834	361	3	,	,	PUNCT
ejpam-1834	361	4	x	x	X
ejpam-1834	361	5	7−→	7−→	NOUN
ejpam-1834	361	6	x	x	X
ejpam-1834	361	7	.	.	PUNCT
ejpam-1834	362	1	on	on	ADP
ejpam-1834	362	2	the	the	DET
ejpam-1834	362	3	remaining	remain	VERB
ejpam-1834	362	4	direct	direct	ADJ
ejpam-1834	362	5	summands	summand	NOUN
ejpam-1834	362	6	,	,	PUNCT
ejpam-1834	362	7	k0(bc	k0(bc	PROPN
ejpam-1834	362	8	)	)	PUNCT
ejpam-1834	362	9	=	=	SYM
ejpam-1834	362	10	0	0	X
ejpam-1834	362	11	.	.	PUNCT
ejpam-1834	363	1	here	here	ADV
ejpam-1834	363	2	’s	’	VERB
ejpam-1834	363	3	a	a	DET
ejpam-1834	363	4	summary	summary	NOUN
ejpam-1834	363	5	of	of	ADP
ejpam-1834	363	6	the	the	DET
ejpam-1834	363	7	cases	case	NOUN
ejpam-1834	363	8	in	in	ADP
ejpam-1834	363	9	this	this	DET
ejpam-1834	363	10	work	work	NOUN
ejpam-1834	363	11	:	:	PUNCT
ejpam-1834	363	12	(	(	PUNCT
ejpam-1834	363	13	i	i	NOUN
ejpam-1834	363	14	)	)	PUNCT
ejpam-1834	363	15	on	on	ADP
ejpam-1834	363	16	the	the	DET
ejpam-1834	363	17	admissible	admissible	ADJ
ejpam-1834	363	18	side	side	NOUN
ejpam-1834	363	19	,	,	PUNCT
ejpam-1834	363	20	if	if	SCONJ
ejpam-1834	363	21	we	we	PRON
ejpam-1834	363	22	have	have	VERB
ejpam-1834	363	23	the	the	DET
ejpam-1834	363	24	following	following	NOUN
ejpam-1834	363	25	:	:	PUNCT
ejpam-1834	363	26	(	(	PUNCT
ejpam-1834	363	27	a	a	X
ejpam-1834	363	28	)	)	PUNCT
ejpam-1834	363	29	the	the	DET
ejpam-1834	363	30	twist	twist	NOUN
ejpam-1834	363	31	of	of	ADP
ejpam-1834	363	32	steinberg	steinberg	PROPN
ejpam-1834	363	33	:	:	PUNCT
ejpam-1834	363	34	{	{	PUNCT
ejpam-1834	363	35	ψ⊗	ψ⊗	NOUN
ejpam-1834	363	36	st(2	st(2	NOUN
ejpam-1834	363	37	)	)	PUNCT
ejpam-1834	363	38	:	:	PUNCT
ejpam-1834	363	39	ψ	ψ	X
ejpam-1834	363	40	∈ψt(wf	∈ψt(wf	NOUN
ejpam-1834	363	41	)	)	PUNCT
ejpam-1834	363	42	}	}	PUNCT
ejpam-1834	363	43	∼=	∼=	PROPN
ejpam-1834	363	44	t.	t.	NOUN
ejpam-1834	363	45	(	(	PUNCT
ejpam-1834	363	46	b	b	X
ejpam-1834	363	47	)	)	PUNCT
ejpam-1834	363	48	the	the	DET
ejpam-1834	363	49	cuspidal	cuspidal	NOUN
ejpam-1834	363	50	:	:	PUNCT
ejpam-1834	363	51	{	{	PUNCT
ejpam-1834	363	52	ψ⊗π	ψ⊗π	ADJ
ejpam-1834	363	53	:	:	PUNCT
ejpam-1834	363	54	π	π	PROPN
ejpam-1834	363	55	∈a	∈a	ADJ
ejpam-1834	363	56	0gl(2	0gl(2	NOUN
ejpam-1834	363	57	)	)	PUNCT
ejpam-1834	363	58	}	}	PUNCT
ejpam-1834	363	59	∼=	∼=	PROPN
ejpam-1834	363	60	t.	t.	NOUN
ejpam-1834	363	61	(	(	PUNCT
ejpam-1834	363	62	c	c	NOUN
ejpam-1834	363	63	)	)	PUNCT
ejpam-1834	363	64	u.p.s	u.p.s	NOUN
ejpam-1834	363	65	:	:	PUNCT
ejpam-1834	363	66	{	{	PUNCT
ejpam-1834	363	67	indg	indg	NOUN
ejpam-1834	363	68	b	b	PROPN
ejpam-1834	363	69	�	�	PROPN
ejpam-1834	363	70	x	x	PROPN
ejpam-1834	363	71	∗	∗	NOUN
ejpam-1834	363	72	0	0	NUM
ejpam-1834	364	1	y	y	PROPN
ejpam-1834	364	2	�	�	PROPN
ejpam-1834	364	3	7→ψ1	7→ψ1	NUM
ejpam-1834	364	4	·	·	PUNCT
ejpam-1834	364	5	ψ2	ψ2	NOUN
ejpam-1834	364	6	:	:	PUNCT
ejpam-1834	364	7	ψ	ψ	X
ejpam-1834	364	8	j	j	PROPN
ejpam-1834	364	9	∈ψt(wf	∈ψt(wf	PROPN
ejpam-1834	364	10	)	)	PUNCT
ejpam-1834	364	11	}	}	PUNCT
ejpam-1834	364	12	∼=	∼=	PROPN
ejpam-1834	364	13	t2	t2	NOUN
ejpam-1834	364	14	,	,	PUNCT
ejpam-1834	364	15	when	when	SCONJ
ejpam-1834	364	16	ψ1	ψ1	ADJ
ejpam-1834	364	17	6	6	NUM
ejpam-1834	364	18	=	=	NOUN
ejpam-1834	364	19	ψ2	ψ2	NOUN
ejpam-1834	364	20	.	.	PUNCT
ejpam-1834	365	1	(	(	PUNCT
ejpam-1834	365	2	d	d	X
ejpam-1834	365	3	)	)	PUNCT
ejpam-1834	365	4	u.p.s	u.p.s	NOUN
ejpam-1834	365	5	:	:	PUNCT
ejpam-1834	365	6	{	{	PUNCT
ejpam-1834	365	7	indg	indg	NOUN
ejpam-1834	365	8	b	b	PROPN
ejpam-1834	365	9	�	�	PROPN
ejpam-1834	365	10	x	x	PROPN
ejpam-1834	365	11	∗	∗	NOUN
ejpam-1834	365	12	0	0	NUM
ejpam-1834	366	1	y	y	PROPN
ejpam-1834	366	2	�	�	PROPN
ejpam-1834	366	3	7→ψ1	7→ψ1	NUM
ejpam-1834	366	4	·	·	PUNCT
ejpam-1834	366	5	ψ2	ψ2	NOUN
ejpam-1834	366	6	:	:	PUNCT
ejpam-1834	366	7	ψ	ψ	X
ejpam-1834	366	8	j	j	PROPN
ejpam-1834	366	9	∈ψt(wf	∈ψt(wf	PROPN
ejpam-1834	366	10	)	)	PUNCT
ejpam-1834	366	11	}	}	PUNCT
ejpam-1834	366	12	∼=	∼=	VERB
ejpam-1834	366	13	t2	t2	NOUN
ejpam-1834	366	14	�	�	NOUN
ejpam-1834	366	15	(z/2z	(z/2z	NOUN
ejpam-1834	366	16	)	)	PUNCT
ejpam-1834	366	17	,	,	PUNCT
ejpam-1834	366	18	when	when	SCONJ
ejpam-1834	366	19	ψ1	ψ1	ADJ
ejpam-1834	366	20	=	=	NOUN
ejpam-1834	366	21	ψ2	ψ2	NOUN
ejpam-1834	366	22	(	(	PUNCT
ejpam-1834	366	23	ii	ii	NOUN
ejpam-1834	366	24	)	)	PUNCT
ejpam-1834	366	25	then	then	ADV
ejpam-1834	366	26	,	,	PUNCT
ejpam-1834	366	27	the	the	DET
ejpam-1834	366	28	k	k	NOUN
ejpam-1834	366	29	-	-	ADJ
ejpam-1834	366	30	theory	theory	NOUN
ejpam-1834	366	31	groups	group	NOUN
ejpam-1834	366	32	of	of	ADP
ejpam-1834	366	33	each	each	PRON
ejpam-1834	366	34	of	of	ADP
ejpam-1834	366	35	these	these	DET
ejpam-1834	366	36	cases	case	NOUN
ejpam-1834	366	37	are	be	AUX
ejpam-1834	366	38	as	as	SCONJ
ejpam-1834	366	39	follows	follow	VERB
ejpam-1834	366	40	:	:	PUNCT
ejpam-1834	367	1	(	(	PUNCT
ejpam-1834	367	2	a	a	X
ejpam-1834	367	3	)	)	PUNCT
ejpam-1834	367	4	k	k	PROPN
ejpam-1834	367	5	jc0(t	jc0(t	PROPN
ejpam-1834	367	6	)	)	PUNCT
ejpam-1834	367	7	=	=	SYM
ejpam-1834	368	1	z.	z.	PROPN
ejpam-1834	368	2	(	(	PUNCT
ejpam-1834	368	3	b	b	X
ejpam-1834	368	4	)	)	PUNCT
ejpam-1834	368	5	k	k	PROPN
ejpam-1834	368	6	jc0(t	jc0(t	PROPN
ejpam-1834	368	7	)	)	PUNCT
ejpam-1834	368	8	=	=	SYM
ejpam-1834	369	1	z.	z.	PROPN
ejpam-1834	369	2	(	(	PUNCT
ejpam-1834	369	3	c	c	X
ejpam-1834	369	4	)	)	PUNCT
ejpam-1834	369	5	k	k	NOUN
ejpam-1834	369	6	jc0(t2	jc0(t2	NOUN
ejpam-1834	369	7	)	)	PUNCT
ejpam-1834	369	8	=	=	SYM
ejpam-1834	369	9	k	k	PROPN
ejpam-1834	369	10	j(t2	j(t2	NOUN
ejpam-1834	369	11	)	)	PUNCT
ejpam-1834	369	12	=	=	PUNCT
ejpam-1834	369	13	z	z	PROPN
ejpam-1834	369	14	⊕	⊕	PROPN
ejpam-1834	369	15	z.	z.	PROPN
ejpam-1834	370	1	(	(	PUNCT
ejpam-1834	370	2	d	d	X
ejpam-1834	370	3	)	)	PUNCT
ejpam-1834	370	4	k	k	PROPN
ejpam-1834	370	5	jc0	jc0	PROPN
ejpam-1834	370	6	�	�	PROPN
ejpam-1834	370	7	t2	t2	PROPN
ejpam-1834	370	8	�	�	PROPN
ejpam-1834	370	9	(z/2z	(z/2z	NOUN
ejpam-1834	370	10	)	)	PUNCT
ejpam-1834	370	11	�	�	PROPN
ejpam-1834	370	12	=	=	PUNCT
ejpam-1834	370	13	k	k	PROPN
ejpam-1834	370	14	jc0(t	jc0(t	PROPN
ejpam-1834	370	15	)	)	PUNCT
ejpam-1834	370	16	=	=	SYM
ejpam-1834	371	1	k	k	PROPN
ejpam-1834	371	2	j(t)∼=	j(t)∼=	PROPN
ejpam-1834	371	3	z.	z.	PROPN
ejpam-1834	371	4	(	(	PUNCT
ejpam-1834	371	5	iii	iii	X
ejpam-1834	371	6	)	)	PUNCT
ejpam-1834	371	7	the	the	DET
ejpam-1834	371	8	homology	homology	NOUN
ejpam-1834	371	9	groups	group	NOUN
ejpam-1834	371	10	of	of	ADP
ejpam-1834	371	11	these	these	DET
ejpam-1834	371	12	cases	case	NOUN
ejpam-1834	371	13	are	be	AUX
ejpam-1834	371	14	as	as	SCONJ
ejpam-1834	371	15	follows	follow	VERB
ejpam-1834	371	16	:	:	PUNCT
ejpam-1834	371	17	(	(	PUNCT
ejpam-1834	371	18	a	a	X
ejpam-1834	371	19	)	)	PUNCT
ejpam-1834	371	20	heven	heven	ADJ
ejpam-1834	371	21	=	=	PROPN
ejpam-1834	371	22	z2	z2	PROPN
ejpam-1834	371	23	=	=	PUNCT
ejpam-1834	371	24	hodd	hodd	PROPN
ejpam-1834	371	25	.	.	PUNCT
ejpam-1834	372	1	(	(	PUNCT
ejpam-1834	372	2	b	b	X
ejpam-1834	372	3	)	)	PUNCT
ejpam-1834	372	4	heven	heven	PROPN
ejpam-1834	372	5	=	=	PUNCT
ejpam-1834	372	6	z=	z=	PROPN
ejpam-1834	372	7	hodd	hodd	PROPN
ejpam-1834	372	8	.	.	PUNCT
ejpam-1834	373	1	(	(	PUNCT
ejpam-1834	373	2	c	c	X
ejpam-1834	373	3	)	)	PUNCT
ejpam-1834	373	4	heven	heven	ADJ
ejpam-1834	373	5	=	=	SYM
ejpam-1834	373	6	z2	z2	PROPN
ejpam-1834	373	7	=	=	PUNCT
ejpam-1834	373	8	hodd	hodd	PROPN
ejpam-1834	373	9	.	.	PUNCT
ejpam-1834	374	1	references	reference	NOUN
ejpam-1834	374	2	297	297	NUM
ejpam-1834	374	3	references	reference	NOUN
ejpam-1834	374	4	[	[	X
ejpam-1834	374	5	1	1	NUM
ejpam-1834	374	6	]	]	PUNCT
ejpam-1834	374	7	a.	a.	NOUN
ejpam-1834	374	8	aubert	aubert	PROPN
ejpam-1834	374	9	,	,	PUNCT
ejpam-1834	374	10	s.	s.	PROPN
ejpam-1834	374	11	hasan	hasan	PROPN
ejpam-1834	374	12	,	,	PUNCT
ejpam-1834	374	13	and	and	CCONJ
ejpam-1834	374	14	r.	r.	PROPN
ejpam-1834	374	15	plymen	plymen	PROPN
ejpam-1834	374	16	.	.	PUNCT
ejpam-1834	375	1	cycles	cycle	NOUN
ejpam-1834	375	2	in	in	ADP
ejpam-1834	375	3	the	the	DET
ejpam-1834	375	4	chamber	chamber	NOUN
ejpam-1834	375	5	homology	homology	NOUN
ejpam-1834	375	6	of	of	ADP
ejpam-1834	375	7	gl(3	gl(3	PROPN
ejpam-1834	375	8	)	)	PUNCT
ejpam-1834	375	9	.	.	PUNCT
ejpam-1834	376	1	k	k	X
ejpam-1834	376	2	-	-	NOUN
ejpam-1834	376	3	theory	theory	NOUN
ejpam-1834	376	4	,	,	PUNCT
ejpam-1834	376	5	37:341–377	37:341–377	NUM
ejpam-1834	376	6	,	,	PUNCT
ejpam-1834	376	7	2006	2006	NUM
ejpam-1834	376	8	.	.	PUNCT
ejpam-1834	377	1	10.1007	10.1007	NUM
ejpam-1834	377	2	/	/	SYM
ejpam-1834	377	3	s10977	s10977	NOUN
ejpam-1834	377	4	-	-	PUNCT
ejpam-1834	377	5	006	006	NUM
ejpam-1834	377	6	-	-	PUNCT
ejpam-1834	377	7	9001	9001	NUM
ejpam-1834	377	8	-	-	PUNCT
ejpam-1834	377	9	y.	y.	NOUN
ejpam-1834	378	1	[	[	X
ejpam-1834	378	2	2	2	NUM
ejpam-1834	378	3	]	]	X
ejpam-1834	378	4	p.	p.	PROPN
ejpam-1834	378	5	baum	baum	PROPN
ejpam-1834	378	6	,	,	PUNCT
ejpam-1834	378	7	n.	n.	PROPN
ejpam-1834	378	8	higson	higson	PROPN
ejpam-1834	378	9	nigel	nigel	PROPN
ejpam-1834	378	10	,	,	PUNCT
ejpam-1834	378	11	and	and	CCONJ
ejpam-1834	378	12	r.	r.	PROPN
ejpam-1834	378	13	plymen	plymen	PROPN
ejpam-1834	378	14	.	.	PUNCT
ejpam-1834	379	1	a	a	DET
ejpam-1834	379	2	proof	proof	NOUN
ejpam-1834	379	3	of	of	ADP
ejpam-1834	379	4	the	the	DET
ejpam-1834	379	5	baum	baum	NOUN
ejpam-1834	379	6	-	-	PUNCT
ejpam-1834	379	7	connes	conne	NOUN
ejpam-1834	379	8	conjecture	conjecture	VERB
ejpam-1834	379	9	for	for	ADP
ejpam-1834	379	10	p	p	NOUN
ejpam-1834	379	11	-	-	PUNCT
ejpam-1834	379	12	adic	adic	ADJ
ejpam-1834	379	13	gl(n	gl(n	NUM
ejpam-1834	379	14	)	)	PUNCT
ejpam-1834	379	15	.	.	PUNCT
ejpam-1834	380	1	comptes	compte	VERB
ejpam-1834	380	2	rendus	rendus	PROPN
ejpam-1834	380	3	de	de	PROPN
ejpam-1834	380	4	l’académie	l’académie	PROPN
ejpam-1834	380	5	des	des	PROPN
ejpam-1834	380	6	sciences	sciences	PROPN
ejpam-1834	380	7	.	.	PUNCT
ejpam-1834	381	1	série	série	PROPN
ejpam-1834	381	2	i.	i.	PROPN
ejpam-1834	381	3	mathématique	mathématique	PROPN
ejpam-1834	381	4	,	,	PUNCT
ejpam-1834	381	5	325(2):171–176	325(2):171–176	PROPN
ejpam-1834	381	6	,	,	PUNCT
ejpam-1834	381	7	1997	1997	NUM
ejpam-1834	381	8	.	.	PUNCT
ejpam-1834	382	1	[	[	X
ejpam-1834	382	2	3	3	X
ejpam-1834	382	3	]	]	X
ejpam-1834	382	4	p.f	p.f	PROPN
ejpam-1834	382	5	.	.	PROPN
ejpam-1834	382	6	baum	baum	PROPN
ejpam-1834	382	7	,	,	PUNCT
ejpam-1834	382	8	n.	n.	NOUN
ejpam-1834	382	9	higson	higson	NOUN
ejpam-1834	382	10	,	,	PUNCT
ejpam-1834	382	11	and	and	CCONJ
ejpam-1834	382	12	r.j	r.j	PROPN
ejpam-1834	382	13	.	.	PROPN
ejpam-1834	382	14	plymen	plymen	PROPN
ejpam-1834	382	15	.	.	PUNCT
ejpam-1834	383	1	representation	representation	NOUN
ejpam-1834	383	2	theory	theory	NOUN
ejpam-1834	383	3	of	of	ADP
ejpam-1834	383	4	p	p	NOUN
ejpam-1834	383	5	-	-	PUNCT
ejpam-1834	383	6	adic	adic	ADJ
ejpam-1834	383	7	groups	group	NOUN
ejpam-1834	383	8	:	:	PUNCT
ejpam-1834	383	9	a	a	DET
ejpam-1834	383	10	view	view	NOUN
ejpam-1834	383	11	from	from	ADP
ejpam-1834	383	12	operator	operator	NOUN
ejpam-1834	383	13	algebras	algebra	NOUN
ejpam-1834	383	14	.	.	PUNCT
ejpam-1834	384	1	in	in	ADP
ejpam-1834	384	2	the	the	DET
ejpam-1834	384	3	mathematical	mathematical	ADJ
ejpam-1834	384	4	legacy	legacy	NOUN
ejpam-1834	384	5	of	of	ADP
ejpam-1834	384	6	harish	harish	PROPN
ejpam-1834	384	7	-	-	PUNCT
ejpam-1834	384	8	chandra	chandra	PROPN
ejpam-1834	384	9	(	(	PUNCT
ejpam-1834	384	10	baltimore	baltimore	PROPN
ejpam-1834	384	11	,	,	PUNCT
ejpam-1834	384	12	md	md	PROPN
ejpam-1834	384	13	,	,	PUNCT
ejpam-1834	384	14	1998	1998	NUM
ejpam-1834	384	15	)	)	PUNCT
ejpam-1834	384	16	,	,	PUNCT
ejpam-1834	384	17	volume	volume	NOUN
ejpam-1834	384	18	68	68	NUM
ejpam-1834	384	19	of	of	ADP
ejpam-1834	384	20	proceedings	proceeding	NOUN
ejpam-1834	384	21	of	of	ADP
ejpam-1834	384	22	the	the	DET
ejpam-1834	384	23	symposium	symposium	NOUN
ejpam-1834	384	24	in	in	ADP
ejpam-1834	384	25	pure	pure	ADJ
ejpam-1834	384	26	mathematics	mathematic	NOUN
ejpam-1834	384	27	,	,	PUNCT
ejpam-1834	384	28	pages	page	NOUN
ejpam-1834	384	29	111–149	111–149	NUM
ejpam-1834	384	30	.	.	PUNCT
ejpam-1834	385	1	american	american	PROPN
ejpam-1834	385	2	mathematical	mathematical	PROPN
ejpam-1834	385	3	society	society	NOUN
ejpam-1834	385	4	,	,	PUNCT
ejpam-1834	385	5	providence	providence	NOUN
ejpam-1834	385	6	,	,	PUNCT
ejpam-1834	385	7	ri	ri	NOUN
ejpam-1834	385	8	,	,	PUNCT
ejpam-1834	385	9	2000	2000	NUM
ejpam-1834	385	10	.	.	PUNCT
ejpam-1834	386	1	[	[	X
ejpam-1834	386	2	4	4	X
ejpam-1834	386	3	]	]	PUNCT
ejpam-1834	386	4	j.	j.	PROPN
ejpam-1834	386	5	brodzki	brodzki	PROPN
ejpam-1834	386	6	and	and	CCONJ
ejpam-1834	386	7	r.	r.	PROPN
ejpam-1834	386	8	plymen	plymen	PROPN
ejpam-1834	386	9	.	.	PUNCT
ejpam-1834	387	1	complex	complex	ADJ
ejpam-1834	387	2	structure	structure	NOUN
ejpam-1834	387	3	on	on	ADP
ejpam-1834	387	4	the	the	DET
ejpam-1834	387	5	smooth	smooth	ADJ
ejpam-1834	387	6	dual	dual	ADJ
ejpam-1834	387	7	of	of	ADP
ejpam-1834	387	8	gl(n	gl(n	NUM
ejpam-1834	387	9	)	)	PUNCT
ejpam-1834	387	10	.	.	PUNCT
ejpam-1834	388	1	documenta	documenta	PROPN
ejpam-1834	388	2	mathematica	mathematica	PROPN
ejpam-1834	388	3	,	,	PUNCT
ejpam-1834	388	4	7:91–112	7:91–112	NUM
ejpam-1834	388	5	(	(	PUNCT
ejpam-1834	388	6	electronic	electronic	ADJ
ejpam-1834	388	7	)	)	PUNCT
ejpam-1834	388	8	,	,	PUNCT
ejpam-1834	388	9	2002	2002	NUM
ejpam-1834	388	10	.	.	PUNCT
ejpam-1834	389	1	[	[	X
ejpam-1834	389	2	5	5	NUM
ejpam-1834	389	3	]	]	X
ejpam-1834	389	4	c.j	c.j	PROPN
ejpam-1834	389	5	.	.	PROPN
ejpam-1834	389	6	bushnell	bushnell	PROPN
ejpam-1834	389	7	and	and	CCONJ
ejpam-1834	389	8	g.	g.	PROPN
ejpam-1834	389	9	henniart	henniart	PROPN
ejpam-1834	389	10	.	.	PUNCT
ejpam-1834	390	1	the	the	DET
ejpam-1834	390	2	local	local	ADJ
ejpam-1834	390	3	langlands	langland	NOUN
ejpam-1834	390	4	conjecture	conjecture	VERB
ejpam-1834	390	5	for	for	ADP
ejpam-1834	390	6	gl(2	gl(2	PROPN
ejpam-1834	390	7	)	)	PUNCT
ejpam-1834	390	8	.	.	PUNCT
ejpam-1834	391	1	springer	springer	NOUN
ejpam-1834	391	2	,	,	PUNCT
ejpam-1834	391	3	2006	2006	NUM
ejpam-1834	391	4	.	.	PUNCT
ejpam-1834	392	1	[	[	X
ejpam-1834	392	2	6	6	NUM
ejpam-1834	392	3	]	]	X
ejpam-1834	392	4	c.j	c.j	PROPN
ejpam-1834	392	5	.	.	PROPN
ejpam-1834	392	6	bushnell	bushnell	PROPN
ejpam-1834	392	7	and	and	CCONJ
ejpam-1834	392	8	p.c	p.c	PROPN
ejpam-1834	392	9	.	.	PROPN
ejpam-1834	392	10	kutzko	kutzko	PROPN
ejpam-1834	392	11	.	.	PUNCT
ejpam-1834	393	1	the	the	DET
ejpam-1834	393	2	admissible	admissible	ADJ
ejpam-1834	393	3	dual	dual	ADJ
ejpam-1834	393	4	of	of	ADP
ejpam-1834	393	5	gl(n	gl(n	NUM
ejpam-1834	393	6	)	)	PUNCT
ejpam-1834	393	7	via	via	ADP
ejpam-1834	393	8	compact	compact	ADJ
ejpam-1834	393	9	open	open	ADJ
ejpam-1834	393	10	subgroups	subgroup	NOUN
ejpam-1834	393	11	,	,	PUNCT
ejpam-1834	393	12	volume	volume	NOUN
ejpam-1834	393	13	129	129	NUM
ejpam-1834	393	14	of	of	ADP
ejpam-1834	393	15	annals	annal	NOUN
ejpam-1834	393	16	of	of	ADP
ejpam-1834	393	17	mathematics	mathematic	NOUN
ejpam-1834	393	18	studies	study	NOUN
ejpam-1834	393	19	.	.	PUNCT
ejpam-1834	394	1	princeton	princeton	PROPN
ejpam-1834	394	2	university	university	PROPN
ejpam-1834	394	3	press	press	PROPN
ejpam-1834	394	4	,	,	PUNCT
ejpam-1834	394	5	princeton	princeton	PROPN
ejpam-1834	394	6	,	,	PUNCT
ejpam-1834	394	7	nj	nj	PROPN
ejpam-1834	394	8	,	,	PUNCT
ejpam-1834	394	9	1993	1993	NUM
ejpam-1834	394	10	.	.	PUNCT
ejpam-1834	395	1	[	[	X
ejpam-1834	395	2	7	7	X
ejpam-1834	395	3	]	]	X
ejpam-1834	395	4	colin	colin	PROPN
ejpam-1834	395	5	j.	j.	PROPN
ejpam-1834	395	6	bushnell	bushnell	PROPN
ejpam-1834	395	7	and	and	CCONJ
ejpam-1834	395	8	guy	guy	NOUN
ejpam-1834	395	9	henniart	henniart	NOUN
ejpam-1834	395	10	.	.	PUNCT
ejpam-1834	396	1	the	the	DET
ejpam-1834	396	2	essentially	essentially	ADV
ejpam-1834	396	3	tame	tame	ADJ
ejpam-1834	396	4	local	local	ADJ
ejpam-1834	396	5	langlands	langland	NOUN
ejpam-1834	396	6	correspondence	correspondence	NOUN
ejpam-1834	396	7	.	.	PUNCT
ejpam-1834	397	1	i.	i.	PROPN
ejpam-1834	397	2	journal	journal	PROPN
ejpam-1834	397	3	of	of	ADP
ejpam-1834	397	4	the	the	DET
ejpam-1834	397	5	american	american	PROPN
ejpam-1834	397	6	mathematical	mathematical	PROPN
ejpam-1834	397	7	society	society	NOUN
ejpam-1834	397	8	,	,	PUNCT
ejpam-1834	397	9	18(3):685–710	18(3):685–710	PROPN
ejpam-1834	397	10	,	,	PUNCT
ejpam-1834	397	11	2005	2005	NUM
ejpam-1834	397	12	.	.	PUNCT
ejpam-1834	398	1	[	[	X
ejpam-1834	398	2	8	8	NUM
ejpam-1834	398	3	]	]	X
ejpam-1834	398	4	colin	colin	PROPN
ejpam-1834	398	5	j.	j.	PROPN
ejpam-1834	398	6	bushnell	bushnell	PROPN
ejpam-1834	398	7	and	and	CCONJ
ejpam-1834	398	8	philip	philip	PROPN
ejpam-1834	398	9	c.	c.	PROPN
ejpam-1834	398	10	kutzko	kutzko	PROPN
ejpam-1834	398	11	.	.	PUNCT
ejpam-1834	398	12	smooth	smooth	ADJ
ejpam-1834	398	13	representations	representation	NOUN
ejpam-1834	398	14	of	of	ADP
ejpam-1834	398	15	reductive	reductive	ADJ
ejpam-1834	398	16	p	p	ADJ
ejpam-1834	398	17	-	-	PUNCT
ejpam-1834	398	18	adic	adic	ADJ
ejpam-1834	398	19	groups	group	NOUN
ejpam-1834	398	20	:	:	PUNCT
ejpam-1834	398	21	structure	structure	NOUN
ejpam-1834	398	22	theory	theory	NOUN
ejpam-1834	398	23	via	via	ADP
ejpam-1834	398	24	types	type	NOUN
ejpam-1834	398	25	.	.	PUNCT
ejpam-1834	399	1	proceedings	proceeding	NOUN
ejpam-1834	399	2	of	of	ADP
ejpam-1834	399	3	the	the	DET
ejpam-1834	399	4	london	london	PROPN
ejpam-1834	399	5	mathematical	mathematical	ADJ
ejpam-1834	399	6	society	society	NOUN
ejpam-1834	399	7	.	.	PUNCT
ejpam-1834	400	1	third	third	ADJ
ejpam-1834	400	2	series	series	NOUN
ejpam-1834	400	3	,	,	PUNCT
ejpam-1834	400	4	77(3):582–634	77(3):582–634	PROPN
ejpam-1834	400	5	,	,	PUNCT
ejpam-1834	400	6	1998	1998	NUM
ejpam-1834	400	7	.	.	PUNCT
ejpam-1834	401	1	[	[	X
ejpam-1834	401	2	9	9	NUM
ejpam-1834	401	3	]	]	X
ejpam-1834	401	4	colin	colin	PROPN
ejpam-1834	401	5	j.	j.	PROPN
ejpam-1834	401	6	bushnell	bushnell	PROPN
ejpam-1834	401	7	and	and	CCONJ
ejpam-1834	401	8	philip	philip	PROPN
ejpam-1834	401	9	c.	c.	PROPN
ejpam-1834	401	10	kutzko	kutzko	PROPN
ejpam-1834	401	11	.	.	PUNCT
ejpam-1834	402	1	semisimple	semisimple	ADJ
ejpam-1834	402	2	types	type	NOUN
ejpam-1834	402	3	in	in	ADP
ejpam-1834	402	4	gln	gln	PROPN
ejpam-1834	402	5	.	.	PUNCT
ejpam-1834	403	1	compositio	compositio	PROPN
ejpam-1834	403	2	mathematica	mathematica	PROPN
ejpam-1834	403	3	,	,	PUNCT
ejpam-1834	403	4	119(1):53–97	119(1):53–97	NUM
ejpam-1834	403	5	,	,	PUNCT
ejpam-1834	403	6	1999	1999	NUM
ejpam-1834	403	7	.	.	PUNCT
ejpam-1834	404	1	[	[	X
ejpam-1834	404	2	10	10	NUM
ejpam-1834	404	3	]	]	X
ejpam-1834	404	4	m.	m.	NOUN
ejpam-1834	404	5	harris	harris	PROPN
ejpam-1834	404	6	and	and	CCONJ
ejpam-1834	404	7	r.	r.	PROPN
ejpam-1834	404	8	taylor	taylor	PROPN
ejpam-1834	404	9	.	.	PUNCT
ejpam-1834	405	1	the	the	DET
ejpam-1834	405	2	geometry	geometry	NOUN
ejpam-1834	405	3	and	and	CCONJ
ejpam-1834	405	4	cohomology	cohomology	NOUN
ejpam-1834	405	5	of	of	ADP
ejpam-1834	405	6	some	some	DET
ejpam-1834	405	7	simple	simple	ADJ
ejpam-1834	405	8	shimura	shimura	NOUN
ejpam-1834	405	9	varieties	variety	NOUN
ejpam-1834	405	10	,	,	PUNCT
ejpam-1834	405	11	volume	volume	NOUN
ejpam-1834	405	12	151	151	NUM
ejpam-1834	405	13	of	of	ADP
ejpam-1834	405	14	annals	annal	NOUN
ejpam-1834	405	15	of	of	ADP
ejpam-1834	405	16	mathematics	mathematic	NOUN
ejpam-1834	405	17	studies	study	NOUN
ejpam-1834	405	18	.	.	PUNCT
ejpam-1834	406	1	princeton	princeton	PROPN
ejpam-1834	406	2	university	university	PROPN
ejpam-1834	406	3	press	press	PROPN
ejpam-1834	406	4	,	,	PUNCT
ejpam-1834	406	5	princeton	princeton	PROPN
ejpam-1834	406	6	,	,	PUNCT
ejpam-1834	406	7	nj	nj	PROPN
ejpam-1834	406	8	,	,	PUNCT
ejpam-1834	406	9	2001	2001	NUM
ejpam-1834	406	10	.	.	PUNCT
ejpam-1834	407	1	with	with	ADP
ejpam-1834	407	2	an	an	DET
ejpam-1834	407	3	appendix	appendix	NOUN
ejpam-1834	407	4	by	by	ADP
ejpam-1834	407	5	vladimir	vladimir	PROPN
ejpam-1834	407	6	g.	g.	PROPN
ejpam-1834	407	7	berkovich	berkovich	PROPN
ejpam-1834	407	8	.	.	PUNCT
ejpam-1834	408	1	[	[	X
ejpam-1834	408	2	11	11	NUM
ejpam-1834	408	3	]	]	X
ejpam-1834	408	4	g.	g.	PROPN
ejpam-1834	408	5	henniart	henniart	PROPN
ejpam-1834	408	6	.	.	PUNCT
ejpam-1834	409	1	une	une	PROPN
ejpam-1834	409	2	preuve	preuve	PROPN
ejpam-1834	409	3	simple	simple	PROPN
ejpam-1834	409	4	des	des	PROPN
ejpam-1834	409	5	conjectures	conjecture	VERB
ejpam-1834	409	6	de	de	X
ejpam-1834	409	7	langlands	langland	NOUN
ejpam-1834	409	8	pour	pour	VERB
ejpam-1834	409	9	gl(n	gl(n	X
ejpam-1834	409	10	)	)	PUNCT
ejpam-1834	409	11	sur	sur	PROPN
ejpam-1834	409	12	un	un	PROPN
ejpam-1834	409	13	corps	corps	PROPN
ejpam-1834	409	14	p	p	NOUN
ejpam-1834	409	15	-	-	PUNCT
ejpam-1834	409	16	adique	adique	ADJ
ejpam-1834	409	17	.	.	PUNCT
ejpam-1834	410	1	inventiones	inventione	NOUN
ejpam-1834	410	2	mathematicae	mathematicae	PROPN
ejpam-1834	410	3	,	,	PUNCT
ejpam-1834	410	4	139:439–455	139:439–455	NUM
ejpam-1834	410	5	,	,	PUNCT
ejpam-1834	410	6	2000	2000	NUM
ejpam-1834	410	7	.	.	PUNCT
ejpam-1834	411	1	[	[	X
ejpam-1834	411	2	12	12	NUM
ejpam-1834	411	3	]	]	X
ejpam-1834	411	4	p.c	p.c	PROPN
ejpam-1834	411	5	.	.	PROPN
ejpam-1834	411	6	kutzko	kutzko	PROPN
ejpam-1834	411	7	.	.	PUNCT
ejpam-1834	412	1	on	on	ADP
ejpam-1834	412	2	the	the	DET
ejpam-1834	412	3	supercuspidal	supercuspidal	ADJ
ejpam-1834	412	4	representations	representation	NOUN
ejpam-1834	412	5	of	of	ADP
ejpam-1834	412	6	gl2	gl2	PROPN
ejpam-1834	412	7	.	.	PUNCT
ejpam-1834	413	1	american	american	PROPN
ejpam-1834	413	2	journal	journal	PROPN
ejpam-1834	413	3	of	of	ADP
ejpam-1834	413	4	mathematics	mathematic	NOUN
ejpam-1834	413	5	,	,	PUNCT
ejpam-1834	413	6	100(1):43–60	100(1):43–60	NUM
ejpam-1834	413	7	,	,	PUNCT
ejpam-1834	413	8	1978	1978	NUM
ejpam-1834	413	9	.	.	PUNCT
ejpam-1834	414	1	[	[	X
ejpam-1834	414	2	13	13	NUM
ejpam-1834	414	3	]	]	X
ejpam-1834	414	4	p.c	p.c	PROPN
ejpam-1834	414	5	.	.	PROPN
ejpam-1834	414	6	kutzko	kutzko	PROPN
ejpam-1834	414	7	.	.	PUNCT
ejpam-1834	415	1	on	on	ADP
ejpam-1834	415	2	the	the	DET
ejpam-1834	415	3	supercuspidal	supercuspidal	ADJ
ejpam-1834	415	4	representations	representation	NOUN
ejpam-1834	415	5	of	of	ADP
ejpam-1834	415	6	gl2	gl2	PROPN
ejpam-1834	415	7	.	.	PUNCT
ejpam-1834	415	8	ii	ii	PROPN
ejpam-1834	415	9	.	.	PUNCT
ejpam-1834	416	1	american	american	PROPN
ejpam-1834	416	2	journal	journal	PROPN
ejpam-1834	416	3	of	of	ADP
ejpam-1834	416	4	mathematics	mathematic	NOUN
ejpam-1834	416	5	,	,	PUNCT
ejpam-1834	416	6	100(4):705–716	100(4):705–716	NUM
ejpam-1834	416	7	,	,	PUNCT
ejpam-1834	416	8	1978	1978	NUM
ejpam-1834	416	9	.	.	PUNCT
ejpam-1834	417	1	[	[	X
ejpam-1834	417	2	14	14	NUM
ejpam-1834	417	3	]	]	X
ejpam-1834	417	4	g.	g.	PROPN
ejpam-1834	417	5	laumon	laumon	PROPN
ejpam-1834	417	6	,	,	PUNCT
ejpam-1834	417	7	m.	m.	NOUN
ejpam-1834	417	8	rapoport	rapoport	NOUN
ejpam-1834	417	9	,	,	PUNCT
ejpam-1834	417	10	and	and	CCONJ
ejpam-1834	417	11	u.	u.	PROPN
ejpam-1834	417	12	stuhler	stuhler	NOUN
ejpam-1834	417	13	.	.	PUNCT
ejpam-1834	418	1	d	d	X
ejpam-1834	418	2	-	-	PUNCT
ejpam-1834	418	3	elliptic	elliptic	ADJ
ejpam-1834	418	4	sheaves	sheaf	NOUN
ejpam-1834	418	5	and	and	CCONJ
ejpam-1834	418	6	the	the	DET
ejpam-1834	418	7	langlands	langland	NOUN
ejpam-1834	418	8	correspondence	correspondence	NOUN
ejpam-1834	418	9	.	.	PUNCT
ejpam-1834	419	1	inventiones	inventione	NOUN
ejpam-1834	419	2	mathematicae	mathematicae	PROPN
ejpam-1834	419	3	,	,	PUNCT
ejpam-1834	419	4	113(2):217–338	113(2):217–338	NUM
ejpam-1834	419	5	,	,	PUNCT
ejpam-1834	419	6	1993	1993	NUM
ejpam-1834	419	7	.	.	PUNCT
ejpam-1834	420	1	references	reference	NOUN
ejpam-1834	420	2	298	298	NUM
ejpam-1834	421	1	[	[	X
ejpam-1834	421	2	15	15	NUM
ejpam-1834	421	3	]	]	X
ejpam-1834	421	4	sergio	sergio	PROPN
ejpam-1834	421	5	mendes	mende	NOUN
ejpam-1834	421	6	and	and	CCONJ
ejpam-1834	421	7	roger	roger	PROPN
ejpam-1834	421	8	plymen	plymen	PROPN
ejpam-1834	421	9	.	.	PUNCT
ejpam-1834	422	1	base	base	NOUN
ejpam-1834	422	2	change	change	NOUN
ejpam-1834	422	3	and	and	CCONJ
ejpam-1834	422	4	k	k	NOUN
ejpam-1834	422	5	-	-	NOUN
ejpam-1834	422	6	theory	theory	NOUN
ejpam-1834	422	7	for	for	ADP
ejpam-1834	422	8	gl(n	gl(n	NUM
ejpam-1834	422	9	)	)	PUNCT
ejpam-1834	422	10	.	.	PUNCT
ejpam-1834	423	1	journal	journal	PROPN
ejpam-1834	423	2	of	of	ADP
ejpam-1834	423	3	noncommutative	noncommutative	PROPN
ejpam-1834	423	4	geometry	geometry	NOUN
ejpam-1834	423	5	,	,	PUNCT
ejpam-1834	423	6	1(3):311–331	1(3):311–331	NUM
ejpam-1834	423	7	,	,	PUNCT
ejpam-1834	423	8	2007	2007	NUM
ejpam-1834	423	9	.	.	PUNCT
ejpam-1834	424	1	[	[	X
ejpam-1834	424	2	16	16	NUM
ejpam-1834	424	3	]	]	X
ejpam-1834	424	4	j.	j.	PROPN
ejpam-1834	424	5	neukirch	neukirch	PROPN
ejpam-1834	424	6	.	.	PUNCT
ejpam-1834	425	1	algebraic	algebraic	ADJ
ejpam-1834	425	2	number	number	NOUN
ejpam-1834	425	3	theory	theory	NOUN
ejpam-1834	425	4	,	,	PUNCT
ejpam-1834	425	5	volume	volume	NOUN
ejpam-1834	425	6	322	322	NUM
ejpam-1834	425	7	of	of	ADP
ejpam-1834	425	8	grundlehren	grundlehren	PROPN
ejpam-1834	425	9	der	der	PROPN
ejpam-1834	425	10	mathematischen	mathematischen	PROPN
ejpam-1834	425	11	wissenschaften	wissenschaften	PROPN
ejpam-1834	425	12	[	[	X
ejpam-1834	425	13	fundamental	fundamental	ADJ
ejpam-1834	425	14	principles	principle	NOUN
ejpam-1834	425	15	of	of	ADP
ejpam-1834	425	16	mathematical	mathematical	ADJ
ejpam-1834	425	17	sciences	science	NOUN
ejpam-1834	425	18	]	]	PUNCT
ejpam-1834	425	19	.	.	PUNCT
ejpam-1834	426	1	springer	springer	NOUN
ejpam-1834	426	2	-	-	PUNCT
ejpam-1834	426	3	verlag	verlag	PROPN
ejpam-1834	426	4	,	,	PUNCT
ejpam-1834	426	5	berlin	berlin	PROPN
ejpam-1834	426	6	,	,	PUNCT
ejpam-1834	426	7	1999	1999	NUM
ejpam-1834	426	8	.	.	PUNCT
ejpam-1834	427	1	translated	translate	VERB
ejpam-1834	427	2	from	from	ADP
ejpam-1834	427	3	the	the	DET
ejpam-1834	427	4	1992	1992	NUM
ejpam-1834	427	5	german	german	NOUN
ejpam-1834	427	6	original	original	ADJ
ejpam-1834	427	7	and	and	CCONJ
ejpam-1834	427	8	with	with	ADP
ejpam-1834	427	9	a	a	DET
ejpam-1834	427	10	note	note	NOUN
ejpam-1834	427	11	by	by	ADP
ejpam-1834	427	12	norbert	norbert	PROPN
ejpam-1834	427	13	schappacher	schappacher	PROPN
ejpam-1834	427	14	,	,	PUNCT
ejpam-1834	427	15	with	with	ADP
ejpam-1834	427	16	a	a	DET
ejpam-1834	427	17	foreword	foreword	NOUN
ejpam-1834	427	18	by	by	ADP
ejpam-1834	427	19	g.	g.	PROPN
ejpam-1834	427	20	harder	hard	ADV
ejpam-1834	427	21	.	.	PUNCT
ejpam-1834	428	1	[	[	X
ejpam-1834	428	2	17	17	NUM
ejpam-1834	428	3	]	]	X
ejpam-1834	428	4	v.	v.	ADP
ejpam-1834	428	5	paskunas	paskuna	NOUN
ejpam-1834	428	6	.	.	PUNCT
ejpam-1834	429	1	unicity	unicity	NOUN
ejpam-1834	429	2	of	of	ADP
ejpam-1834	429	3	types	type	NOUN
ejpam-1834	429	4	for	for	ADP
ejpam-1834	429	5	supercuspidal	supercuspidal	ADJ
ejpam-1834	429	6	representations	representation	NOUN
ejpam-1834	429	7	of	of	ADP
ejpam-1834	429	8	gln	gln	NOUN
ejpam-1834	429	9	.	.	PUNCT
ejpam-1834	430	1	proceedings	proceeding	NOUN
ejpam-1834	430	2	of	of	ADP
ejpam-1834	430	3	the	the	DET
ejpam-1834	430	4	london	london	PROPN
ejpam-1834	430	5	mathematical	mathematical	ADJ
ejpam-1834	430	6	society	society	NOUN
ejpam-1834	430	7	.	.	PUNCT
ejpam-1834	431	1	third	third	ADJ
ejpam-1834	431	2	series	series	NOUN
ejpam-1834	431	3	,	,	PUNCT
ejpam-1834	431	4	91(3):623–654	91(3):623–654	PROPN
ejpam-1834	431	5	,	,	PUNCT
ejpam-1834	431	6	2005	2005	NUM
ejpam-1834	431	7	.	.	PUNCT
ejpam-1834	432	1	[	[	X
ejpam-1834	432	2	18	18	NUM
ejpam-1834	432	3	]	]	X
ejpam-1834	432	4	r.	r.	PROPN
ejpam-1834	432	5	j.	j.	PROPN
ejpam-1834	432	6	plymen	plymen	PROPN
ejpam-1834	432	7	.	.	PUNCT
ejpam-1834	433	1	reduced	reduce	VERB
ejpam-1834	433	2	c∗-algebra	c∗-algebra	PROPN
ejpam-1834	433	3	of	of	ADP
ejpam-1834	433	4	the	the	DET
ejpam-1834	433	5	p	p	NOUN
ejpam-1834	433	6	-	-	PUNCT
ejpam-1834	433	7	adic	adic	ADJ
ejpam-1834	433	8	group	group	NOUN
ejpam-1834	433	9	gl(n	gl(n	NUM
ejpam-1834	433	10	)	)	PUNCT
ejpam-1834	433	11	.	.	PUNCT
ejpam-1834	434	1	ii	ii	PROPN
ejpam-1834	434	2	.	.	PROPN
ejpam-1834	434	3	journal	journal	PROPN
ejpam-1834	434	4	of	of	ADP
ejpam-1834	434	5	functional	functional	ADJ
ejpam-1834	434	6	analysis	analysis	NOUN
ejpam-1834	434	7	,	,	PUNCT
ejpam-1834	434	8	196(1):119–134	196(1):119–134	NUM
ejpam-1834	434	9	,	,	PUNCT
ejpam-1834	434	10	2002	2002	NUM
ejpam-1834	434	11	.	.	PUNCT
ejpam-1834	435	1	[	[	X
ejpam-1834	435	2	19	19	NUM
ejpam-1834	435	3	]	]	PUNCT
ejpam-1834	435	4	a.	a.	NOUN
ejpam-1834	435	5	weil	weil	PROPN
ejpam-1834	435	6	.	.	PUNCT
ejpam-1834	436	1	basic	basic	ADJ
ejpam-1834	436	2	number	number	NOUN
ejpam-1834	436	3	theory	theory	NOUN
ejpam-1834	436	4	.	.	PUNCT
ejpam-1834	437	1	springer	springer	NOUN
ejpam-1834	437	2	,	,	PUNCT
ejpam-1834	437	3	1995	1995	NUM
ejpam-1834	437	4	.	.	PUNCT