id	sid	tid	token	lemma	pos
ejpam-2013	1	1	european	european	PROPN
ejpam-2013	1	2	journal	journal	PROPN
ejpam-2013	1	3	of	of	ADP
ejpam-2013	1	4	pure	pure	ADJ
ejpam-2013	1	5	and	and	CCONJ
ejpam-2013	1	6	applied	apply	VERB
ejpam-2013	1	7	mathematics	mathematic	NOUN
ejpam-2013	1	8	vol	vol	NOUN
ejpam-2013	1	9	.	.	PUNCT
ejpam-2013	2	1	7	7	NUM
ejpam-2013	2	2	,	,	PUNCT
ejpam-2013	2	3	no	no	INTJ
ejpam-2013	2	4	.	.	NOUN
ejpam-2013	2	5	1	1	NUM
ejpam-2013	2	6	,	,	PUNCT
ejpam-2013	2	7	2014	2014	NUM
ejpam-2013	2	8	,	,	PUNCT
ejpam-2013	2	9	45	45	NUM
ejpam-2013	2	10	-	-	SYM
ejpam-2013	2	11	54	54	NUM
ejpam-2013	2	12	issn	issn	PROPN
ejpam-2013	2	13	1307	1307	NUM
ejpam-2013	2	14	-	-	SYM
ejpam-2013	2	15	5543	5543	NUM
ejpam-2013	2	16	–	–	PUNCT
ejpam-2013	2	17	www.ejpam.com	www.ejpam.com	X
ejpam-2013	2	18	cycles	cycle	VERB
ejpam-2013	2	19	in	in	ADP
ejpam-2013	2	20	the	the	DET
ejpam-2013	2	21	chamber	chamber	NOUN
ejpam-2013	2	22	homology	homology	NOUN
ejpam-2013	2	23	for	for	ADP
ejpam-2013	2	24	sl(2	sl(2	PROPN
ejpam-2013	2	25	,	,	PUNCT
ejpam-2013	2	26	f	f	X
ejpam-2013	2	27	)	)	PUNCT
ejpam-2013	2	28	wemedh	wemedh	NOUN
ejpam-2013	2	29	aeal	aeal	NOUN
ejpam-2013	2	30	school	school	NOUN
ejpam-2013	2	31	of	of	ADP
ejpam-2013	2	32	mathematics	mathematic	NOUN
ejpam-2013	2	33	,	,	PUNCT
ejpam-2013	2	34	the	the	DET
ejpam-2013	2	35	university	university	PROPN
ejpam-2013	2	36	of	of	ADP
ejpam-2013	2	37	manchester	manchester	PROPN
ejpam-2013	2	38	,	,	PUNCT
ejpam-2013	2	39	greater	great	ADJ
ejpam-2013	2	40	manchester	manchester	PROPN
ejpam-2013	2	41	,	,	PUNCT
ejpam-2013	2	42	united	united	ADJ
ejpam-2013	2	43	kingdom	kingdom	PROPN
ejpam-2013	2	44	abstract	abstract	NOUN
ejpam-2013	2	45	.	.	PUNCT
ejpam-2013	3	1	we	we	PRON
ejpam-2013	3	2	emphasized	emphasize	VERB
ejpam-2013	3	3	finding	find	VERB
ejpam-2013	3	4	the	the	DET
ejpam-2013	3	5	explicit	explicit	ADJ
ejpam-2013	3	6	cycles	cycle	NOUN
ejpam-2013	3	7	in	in	ADP
ejpam-2013	3	8	the	the	DET
ejpam-2013	3	9	chamber	chamber	NOUN
ejpam-2013	3	10	homology	homology	NOUN
ejpam-2013	3	11	groups	group	NOUN
ejpam-2013	3	12	and	and	CCONJ
ejpam-2013	3	13	the	the	DET
ejpam-2013	3	14	k	k	NOUN
ejpam-2013	3	15	-	-	NOUN
ejpam-2013	3	16	theory	theory	NOUN
ejpam-2013	3	17	groups	group	NOUN
ejpam-2013	3	18	in	in	ADP
ejpam-2013	3	19	term	term	NOUN
ejpam-2013	3	20	of	of	ADP
ejpam-2013	3	21	each	each	DET
ejpam-2013	3	22	representation	representation	NOUN
ejpam-2013	3	23	for	for	ADP
ejpam-2013	3	24	sl(2	sl(2	PROPN
ejpam-2013	3	25	,	,	PUNCT
ejpam-2013	3	26	f	f	PROPN
ejpam-2013	3	27	)	)	PUNCT
ejpam-2013	3	28	.	.	PUNCT
ejpam-2013	4	1	this	this	PRON
ejpam-2013	4	2	led	lead	VERB
ejpam-2013	4	3	to	to	ADP
ejpam-2013	4	4	an	an	DET
ejpam-2013	4	5	explicit	explicit	ADJ
ejpam-2013	4	6	computing	computing	NOUN
ejpam-2013	4	7	of	of	ADP
ejpam-2013	4	8	chamber	chamber	PROPN
ejpam-2013	4	9	homology	homology	NOUN
ejpam-2013	4	10	and	and	CCONJ
ejpam-2013	4	11	the	the	DET
ejpam-2013	4	12	k	k	NOUN
ejpam-2013	4	13	-	-	ADJ
ejpam-2013	4	14	theory	theory	NOUN
ejpam-2013	4	15	groups	group	NOUN
ejpam-2013	4	16	.	.	PUNCT
ejpam-2013	5	1	we	we	PRON
ejpam-2013	5	2	have	have	AUX
ejpam-2013	5	3	identified	identify	VERB
ejpam-2013	5	4	the	the	DET
ejpam-2013	5	5	base	base	NOUN
ejpam-2013	5	6	change	change	NOUN
ejpam-2013	5	7	effect	effect	NOUN
ejpam-2013	5	8	on	on	ADP
ejpam-2013	5	9	each	each	PRON
ejpam-2013	5	10	of	of	ADP
ejpam-2013	5	11	these	these	DET
ejpam-2013	5	12	cycles	cycle	NOUN
ejpam-2013	5	13	.	.	PUNCT
ejpam-2013	6	1	the	the	DET
ejpam-2013	6	2	base	base	NOUN
ejpam-2013	6	3	change	change	NOUN
ejpam-2013	6	4	map	map	NOUN
ejpam-2013	6	5	on	on	ADP
ejpam-2013	6	6	the	the	DET
ejpam-2013	6	7	homology	homology	NOUN
ejpam-2013	6	8	group	group	NOUN
ejpam-2013	6	9	level	level	NOUN
ejpam-2013	6	10	works	work	VERB
ejpam-2013	6	11	by	by	ADP
ejpam-2013	6	12	sending	send	VERB
ejpam-2013	6	13	a	a	DET
ejpam-2013	6	14	generator	generator	NOUN
ejpam-2013	6	15	of	of	ADP
ejpam-2013	6	16	the	the	DET
ejpam-2013	6	17	homology	homology	NOUN
ejpam-2013	6	18	group	group	NOUN
ejpam-2013	6	19	of	of	ADP
ejpam-2013	6	20	sl(2	sl(2	PROPN
ejpam-2013	6	21	,	,	PUNCT
ejpam-2013	6	22	e	e	NOUN
ejpam-2013	6	23	)	)	PUNCT
ejpam-2013	6	24	labeled	label	VERB
ejpam-2013	6	25	by	by	ADP
ejpam-2013	6	26	a	a	DET
ejpam-2013	6	27	character	character	NOUN
ejpam-2013	6	28	of	of	ADP
ejpam-2013	6	29	e×	e×	PROPN
ejpam-2013	6	30	to	to	ADP
ejpam-2013	6	31	the	the	DET
ejpam-2013	6	32	generator	generator	NOUN
ejpam-2013	6	33	of	of	ADP
ejpam-2013	6	34	the	the	DET
ejpam-2013	6	35	homology	homology	NOUN
ejpam-2013	6	36	group	group	NOUN
ejpam-2013	6	37	of	of	ADP
ejpam-2013	6	38	sl(2	sl(2	PROPN
ejpam-2013	6	39	,	,	PUNCT
ejpam-2013	6	40	f	f	X
ejpam-2013	6	41	)	)	PUNCT
ejpam-2013	6	42	labeled	label	VERB
ejpam-2013	6	43	by	by	ADP
ejpam-2013	6	44	a	a	DET
ejpam-2013	6	45	character	character	NOUN
ejpam-2013	6	46	of	of	ADP
ejpam-2013	6	47	f×	f×	NOUN
ejpam-2013	6	48	multiplied	multiply	VERB
ejpam-2013	6	49	by	by	ADP
ejpam-2013	6	50	the	the	DET
ejpam-2013	6	51	residue	residue	NOUN
ejpam-2013	6	52	field	field	NOUN
ejpam-2013	6	53	degree	degree	NOUN
ejpam-2013	6	54	.	.	PUNCT
ejpam-2013	7	1	whilst	whilst	SCONJ
ejpam-2013	7	2	,	,	PUNCT
ejpam-2013	7	3	it	it	PRON
ejpam-2013	7	4	works	work	VERB
ejpam-2013	7	5	by	by	ADP
ejpam-2013	7	6	sending	send	VERB
ejpam-2013	7	7	the	the	DET
ejpam-2013	7	8	k	k	ADJ
ejpam-2013	7	9	-	-	NOUN
ejpam-2013	7	10	theory	theory	NOUN
ejpam-2013	7	11	group	group	NOUN
ejpam-2013	7	12	generator	generator	NOUN
ejpam-2013	7	13	of	of	ADP
ejpam-2013	7	14	the	the	DET
ejpam-2013	7	15	reduce	reduce	NOUN
ejpam-2013	7	16	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	7	17	of	of	ADP
ejpam-2013	7	18	sl(2	sl(2	PROPN
ejpam-2013	7	19	,	,	PUNCT
ejpam-2013	7	20	e	e	NOUN
ejpam-2013	7	21	)	)	PUNCT
ejpam-2013	7	22	labeled	label	VERB
ejpam-2013	7	23	by	by	ADP
ejpam-2013	7	24	the	the	DET
ejpam-2013	7	25	1	1	NUM
ejpam-2013	7	26	-	-	PUNCT
ejpam-2013	7	27	cycle	cycle	NOUN
ejpam-2013	7	28	(	(	PUNCT
ejpam-2013	7	29	resp	resp	NOUN
ejpam-2013	7	30	.	.	PUNCT
ejpam-2013	8	1	0	0	NUM
ejpam-2013	8	2	-	-	PUNCT
ejpam-2013	8	3	cycle	cycle	NOUN
ejpam-2013	8	4	)	)	PUNCT
ejpam-2013	8	5	to	to	ADP
ejpam-2013	8	6	the	the	DET
ejpam-2013	8	7	multiplication	multiplication	NOUN
ejpam-2013	8	8	of	of	ADP
ejpam-2013	8	9	the	the	DET
ejpam-2013	8	10	residue	residue	NOUN
ejpam-2013	8	11	field	field	NOUN
ejpam-2013	8	12	degree	degree	NOUN
ejpam-2013	8	13	with	with	ADP
ejpam-2013	8	14	a	a	DET
ejpam-2013	8	15	generator	generator	NOUN
ejpam-2013	8	16	of	of	ADP
ejpam-2013	8	17	the	the	DET
ejpam-2013	8	18	k	k	NOUN
ejpam-2013	8	19	-	-	NOUN
ejpam-2013	8	20	theory	theory	NOUN
ejpam-2013	8	21	group	group	NOUN
ejpam-2013	8	22	of	of	ADP
ejpam-2013	8	23	sl(2	sl(2	PROPN
ejpam-2013	8	24	,	,	PUNCT
ejpam-2013	8	25	f	f	X
ejpam-2013	8	26	)	)	PUNCT
ejpam-2013	8	27	labeled	label	VERB
ejpam-2013	8	28	by	by	ADP
ejpam-2013	8	29	the	the	DET
ejpam-2013	8	30	base	base	NOUN
ejpam-2013	8	31	changed	change	VERB
ejpam-2013	8	32	effect	effect	NOUN
ejpam-2013	8	33	on	on	ADP
ejpam-2013	8	34	1	1	NUM
ejpam-2013	8	35	-	-	PUNCT
ejpam-2013	8	36	cycle	cycle	NOUN
ejpam-2013	8	37	(	(	PUNCT
ejpam-2013	8	38	resp	resp	NOUN
ejpam-2013	8	39	.	.	PUNCT
ejpam-2013	9	1	0	0	NUM
ejpam-2013	9	2	-	-	PUNCT
ejpam-2013	9	3	cycle	cycle	NOUN
ejpam-2013	9	4	)	)	PUNCT
ejpam-2013	9	5	.	.	PUNCT
ejpam-2013	10	1	2010	2010	NUM
ejpam-2013	10	2	mathematics	mathematic	NOUN
ejpam-2013	10	3	subject	subject	NOUN
ejpam-2013	10	4	classifications	classification	NOUN
ejpam-2013	10	5	:	:	PUNCT
ejpam-2013	10	6	58b34	58b34	NUM
ejpam-2013	10	7	,	,	PUNCT
ejpam-2013	10	8	11s70	11s70	NUM
ejpam-2013	10	9	,	,	PUNCT
ejpam-2013	10	10	46l80	46l80	NUM
ejpam-2013	10	11	,	,	PUNCT
ejpam-2013	10	12	11s31	11s31	NUM
ejpam-2013	10	13	,	,	PUNCT
ejpam-2013	10	14	19k33	19k33	NUM
ejpam-2013	10	15	,	,	PUNCT
ejpam-2013	10	16	11f85	11f85	NUM
ejpam-2013	10	17	key	key	ADJ
ejpam-2013	10	18	words	word	NOUN
ejpam-2013	10	19	and	and	CCONJ
ejpam-2013	10	20	phrases	phrase	NOUN
ejpam-2013	10	21	:	:	PUNCT
ejpam-2013	10	22	local	local	ADJ
ejpam-2013	10	23	langlands	langland	NOUN
ejpam-2013	10	24	,	,	PUNCT
ejpam-2013	10	25	base	base	NOUN
ejpam-2013	10	26	change	change	NOUN
ejpam-2013	10	27	,	,	PUNCT
ejpam-2013	10	28	k	k	NOUN
ejpam-2013	10	29	-	-	NOUN
ejpam-2013	10	30	theory	theory	NOUN
ejpam-2013	10	31	,	,	PUNCT
ejpam-2013	10	32	chamber	chamber	NOUN
ejpam-2013	10	33	homology	homology	NOUN
ejpam-2013	10	34	,	,	PUNCT
ejpam-2013	10	35	baum	baum	PROPN
ejpam-2013	10	36	-	-	PUNCT
ejpam-2013	10	37	conns	conns	PROPN
ejpam-2013	10	38	map	map	NOUN
ejpam-2013	10	39	,	,	PUNCT
ejpam-2013	10	40	representation	representation	NOUN
ejpam-2013	10	41	theory	theory	NOUN
ejpam-2013	10	42	,	,	PUNCT
ejpam-2013	10	43	non	non	ADJ
ejpam-2013	10	44	-	-	ADJ
ejpam-2013	10	45	commutative	commutative	ADJ
ejpam-2013	10	46	geometry	geometry	NOUN
ejpam-2013	10	47	,	,	PUNCT
ejpam-2013	10	48	number	number	NOUN
ejpam-2013	10	49	theory	theory	NOUN
ejpam-2013	10	50	.	.	PUNCT
ejpam-2013	11	1	1	1	X
ejpam-2013	11	2	.	.	X
ejpam-2013	11	3	introduction	introduction	NOUN
ejpam-2013	11	4	let	let	VERB
ejpam-2013	11	5	f	f	PRON
ejpam-2013	11	6	be	be	AUX
ejpam-2013	11	7	a	a	DET
ejpam-2013	11	8	p	p	NOUN
ejpam-2013	11	9	-	-	PUNCT
ejpam-2013	11	10	adic	adic	ADJ
ejpam-2013	11	11	non	non	ADJ
ejpam-2013	11	12	-	-	ADJ
ejpam-2013	11	13	archimedean	archimedean	ADJ
ejpam-2013	11	14	local	local	ADJ
ejpam-2013	11	15	field	field	NOUN
ejpam-2013	11	16	with	with	ADP
ejpam-2013	11	17	p	p	NOUN
ejpam-2013	11	18	6=	6=	NUM
ejpam-2013	11	19	2	2	NUM
ejpam-2013	11	20	and	and	CCONJ
ejpam-2013	11	21	g	g	PROPN
ejpam-2013	11	22	=	=	PROPN
ejpam-2013	11	23	sl(2	sl(2	PROPN
ejpam-2013	11	24	,	,	PUNCT
ejpam-2013	11	25	f	f	NOUN
ejpam-2013	11	26	)	)	PUNCT
ejpam-2013	11	27	.	.	PUNCT
ejpam-2013	12	1	we	we	PRON
ejpam-2013	12	2	have	have	AUX
ejpam-2013	12	3	f×	f×	VERB
ejpam-2013	12	4	∼=	∼=	PROPN
ejpam-2013	12	5	uf	uf	NOUN
ejpam-2013	12	6	×	×	PROPN
ejpam-2013	12	7	z	z	PROPN
ejpam-2013	12	8	,	,	PUNCT
ejpam-2013	12	9	where	where	SCONJ
ejpam-2013	12	10	uf	uf	PROPN
ejpam-2013	12	11	is	be	AUX
ejpam-2013	12	12	the	the	DET
ejpam-2013	12	13	group	group	NOUN
ejpam-2013	12	14	of	of	ADP
ejpam-2013	12	15	p	p	NOUN
ejpam-2013	12	16	-	-	PUNCT
ejpam-2013	12	17	adic	adic	ADJ
ejpam-2013	12	18	units	unit	NOUN
ejpam-2013	12	19	,	,	PUNCT
ejpam-2013	12	20	and	and	CCONJ
ejpam-2013	12	21	the	the	DET
ejpam-2013	12	22	dual	dual	ADJ
ejpam-2013	12	23	of	of	ADP
ejpam-2013	12	24	f×	f×	NOUN
ejpam-2013	12	25	is	be	AUX
ejpam-2013	12	26	óf×	óf×	PRON
ejpam-2013	13	1	∼=	∼=	PART
ejpam-2013	13	2	óuf	óuf	NOUN
ejpam-2013	13	3	×	×	PROPN
ejpam-2013	13	4	t	t	PROPN
ejpam-2013	13	5	,	,	PUNCT
ejpam-2013	13	6	where	where	SCONJ
ejpam-2013	13	7	t	t	PROPN
ejpam-2013	13	8	is	be	AUX
ejpam-2013	13	9	the	the	DET
ejpam-2013	13	10	circle	circle	NOUN
ejpam-2013	13	11	group	group	NOUN
ejpam-2013	13	12	.	.	PUNCT
ejpam-2013	14	1	in	in	ADP
ejpam-2013	14	2	this	this	DET
ejpam-2013	14	3	paper	paper	NOUN
ejpam-2013	14	4	we	we	PRON
ejpam-2013	14	5	emphasized	emphasize	VERB
ejpam-2013	14	6	finding	find	VERB
ejpam-2013	14	7	the	the	DET
ejpam-2013	14	8	explicit	explicit	ADJ
ejpam-2013	14	9	cycles	cycle	NOUN
ejpam-2013	14	10	in	in	ADP
ejpam-2013	14	11	the	the	DET
ejpam-2013	14	12	chamber	chamber	NOUN
ejpam-2013	14	13	homology	homology	NOUN
ejpam-2013	14	14	groups	group	NOUN
ejpam-2013	14	15	and	and	CCONJ
ejpam-2013	14	16	the	the	DET
ejpam-2013	14	17	k	k	NOUN
ejpam-2013	14	18	-	-	NOUN
ejpam-2013	14	19	theory	theory	NOUN
ejpam-2013	14	20	groups	group	NOUN
ejpam-2013	14	21	in	in	ADP
ejpam-2013	14	22	term	term	NOUN
ejpam-2013	14	23	of	of	ADP
ejpam-2013	14	24	each	each	DET
ejpam-2013	14	25	representation	representation	NOUN
ejpam-2013	14	26	for	for	ADP
ejpam-2013	14	27	sl(2	sl(2	PROPN
ejpam-2013	14	28	,	,	PUNCT
ejpam-2013	14	29	f	f	PROPN
ejpam-2013	14	30	)	)	PUNCT
ejpam-2013	14	31	.	.	PUNCT
ejpam-2013	15	1	this	this	PRON
ejpam-2013	15	2	led	lead	VERB
ejpam-2013	15	3	to	to	ADP
ejpam-2013	15	4	an	an	DET
ejpam-2013	15	5	explicit	explicit	ADJ
ejpam-2013	15	6	computing	computing	NOUN
ejpam-2013	15	7	of	of	ADP
ejpam-2013	15	8	chamber	chamber	PROPN
ejpam-2013	15	9	homology	homology	NOUN
ejpam-2013	15	10	and	and	CCONJ
ejpam-2013	15	11	the	the	DET
ejpam-2013	15	12	k	k	NOUN
ejpam-2013	15	13	-	-	ADJ
ejpam-2013	15	14	theory	theory	NOUN
ejpam-2013	15	15	groups	group	NOUN
ejpam-2013	15	16	.	.	PUNCT
ejpam-2013	16	1	we	we	PRON
ejpam-2013	16	2	have	have	AUX
ejpam-2013	16	3	identified	identify	VERB
ejpam-2013	16	4	the	the	DET
ejpam-2013	16	5	base	base	NOUN
ejpam-2013	16	6	change	change	NOUN
ejpam-2013	16	7	effect	effect	NOUN
ejpam-2013	16	8	on	on	ADP
ejpam-2013	16	9	each	each	PRON
ejpam-2013	16	10	of	of	ADP
ejpam-2013	16	11	these	these	DET
ejpam-2013	16	12	cycles	cycle	NOUN
ejpam-2013	16	13	.	.	PUNCT
ejpam-2013	17	1	the	the	DET
ejpam-2013	17	2	base	base	NOUN
ejpam-2013	17	3	change	change	NOUN
ejpam-2013	17	4	map	map	NOUN
ejpam-2013	17	5	on	on	ADP
ejpam-2013	17	6	the	the	DET
ejpam-2013	17	7	homology	homology	NOUN
ejpam-2013	17	8	group	group	NOUN
ejpam-2013	17	9	level	level	NOUN
ejpam-2013	17	10	works	work	VERB
ejpam-2013	17	11	by	by	ADP
ejpam-2013	17	12	sending	send	VERB
ejpam-2013	17	13	a	a	DET
ejpam-2013	17	14	generator	generator	NOUN
ejpam-2013	17	15	of	of	ADP
ejpam-2013	17	16	the	the	DET
ejpam-2013	17	17	homology	homology	NOUN
ejpam-2013	17	18	group	group	NOUN
ejpam-2013	17	19	of	of	ADP
ejpam-2013	17	20	sl(2	sl(2	PROPN
ejpam-2013	17	21	,	,	PUNCT
ejpam-2013	17	22	e	e	NOUN
ejpam-2013	17	23	)	)	PUNCT
ejpam-2013	17	24	labeled	label	VERB
ejpam-2013	17	25	by	by	ADP
ejpam-2013	17	26	a	a	DET
ejpam-2013	17	27	character	character	NOUN
ejpam-2013	17	28	of	of	ADP
ejpam-2013	17	29	e×	e×	PROPN
ejpam-2013	17	30	to	to	ADP
ejpam-2013	17	31	the	the	DET
ejpam-2013	17	32	generator	generator	NOUN
ejpam-2013	17	33	of	of	ADP
ejpam-2013	17	34	the	the	DET
ejpam-2013	17	35	homology	homology	NOUN
ejpam-2013	17	36	group	group	NOUN
ejpam-2013	17	37	of	of	ADP
ejpam-2013	17	38	sl(2	sl(2	PROPN
ejpam-2013	17	39	,	,	PUNCT
ejpam-2013	17	40	f	f	X
ejpam-2013	17	41	)	)	PUNCT
ejpam-2013	17	42	labeled	label	VERB
ejpam-2013	17	43	by	by	ADP
ejpam-2013	17	44	a	a	DET
ejpam-2013	17	45	character	character	NOUN
ejpam-2013	17	46	of	of	ADP
ejpam-2013	17	47	f×	f×	NOUN
ejpam-2013	17	48	multiplied	multiply	VERB
ejpam-2013	17	49	by	by	ADP
ejpam-2013	17	50	the	the	DET
ejpam-2013	17	51	residue	residue	NOUN
ejpam-2013	17	52	field	field	NOUN
ejpam-2013	17	53	degree	degree	NOUN
ejpam-2013	17	54	.	.	PUNCT
ejpam-2013	18	1	whilst	whilst	SCONJ
ejpam-2013	18	2	,	,	PUNCT
ejpam-2013	18	3	it	it	PRON
ejpam-2013	18	4	works	work	VERB
ejpam-2013	18	5	by	by	ADP
ejpam-2013	18	6	sending	send	VERB
ejpam-2013	18	7	the	the	DET
ejpam-2013	18	8	k	k	ADJ
ejpam-2013	18	9	-	-	NOUN
ejpam-2013	18	10	theory	theory	NOUN
ejpam-2013	18	11	group	group	NOUN
ejpam-2013	18	12	generator	generator	NOUN
ejpam-2013	18	13	of	of	ADP
ejpam-2013	18	14	the	the	DET
ejpam-2013	18	15	reduce	reduce	NOUN
ejpam-2013	18	16	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	18	17	of	of	ADP
ejpam-2013	18	18	sl(2	sl(2	PROPN
ejpam-2013	18	19	,	,	PUNCT
ejpam-2013	18	20	e	e	NOUN
ejpam-2013	18	21	)	)	PUNCT
ejpam-2013	18	22	labeled	label	VERB
ejpam-2013	18	23	by	by	ADP
ejpam-2013	18	24	the	the	DET
ejpam-2013	18	25	1	1	NUM
ejpam-2013	18	26	-	-	PUNCT
ejpam-2013	18	27	cycle	cycle	NOUN
ejpam-2013	18	28	(	(	PUNCT
ejpam-2013	18	29	resp	resp	NOUN
ejpam-2013	18	30	.	.	PUNCT
ejpam-2013	19	1	0	0	NUM
ejpam-2013	19	2	-	-	PUNCT
ejpam-2013	19	3	cycle	cycle	NOUN
ejpam-2013	19	4	)	)	PUNCT
ejpam-2013	19	5	to	to	ADP
ejpam-2013	19	6	the	the	DET
ejpam-2013	19	7	multiplication	multiplication	NOUN
ejpam-2013	19	8	of	of	ADP
ejpam-2013	19	9	the	the	DET
ejpam-2013	19	10	residue	residue	NOUN
ejpam-2013	19	11	field	field	NOUN
ejpam-2013	19	12	degree	degree	NOUN
ejpam-2013	19	13	with	with	ADP
ejpam-2013	19	14	a	a	DET
ejpam-2013	19	15	generator	generator	NOUN
ejpam-2013	19	16	of	of	ADP
ejpam-2013	19	17	the	the	DET
ejpam-2013	19	18	k	k	NOUN
ejpam-2013	19	19	-	-	NOUN
ejpam-2013	19	20	theory	theory	NOUN
ejpam-2013	19	21	group	group	NOUN
ejpam-2013	19	22	of	of	ADP
ejpam-2013	19	23	sl(2	sl(2	PROPN
ejpam-2013	19	24	,	,	PUNCT
ejpam-2013	19	25	f	f	X
ejpam-2013	19	26	)	)	PUNCT
ejpam-2013	19	27	labeled	label	VERB
ejpam-2013	19	28	by	by	ADP
ejpam-2013	19	29	the	the	DET
ejpam-2013	19	30	base	base	NOUN
ejpam-2013	19	31	changed	change	VERB
ejpam-2013	19	32	effect	effect	NOUN
ejpam-2013	19	33	on	on	ADP
ejpam-2013	19	34	1	1	NUM
ejpam-2013	19	35	-	-	PUNCT
ejpam-2013	19	36	cycle	cycle	NOUN
ejpam-2013	19	37	(	(	PUNCT
ejpam-2013	19	38	resp	resp	NOUN
ejpam-2013	19	39	.	.	PUNCT
ejpam-2013	20	1	0	0	NUM
ejpam-2013	20	2	-	-	PUNCT
ejpam-2013	20	3	cycle	cycle	NOUN
ejpam-2013	20	4	)	)	PUNCT
ejpam-2013	20	5	.	.	PUNCT
ejpam-2013	21	1	email	email	NOUN
ejpam-2013	21	2	address	address	NOUN
ejpam-2013	21	3	:	:	PUNCT
ejpam-2013	21	4	wemedh@hotmail.com	wemedh@hotmail.com	X
ejpam-2013	21	5	http://www.ejpam.com	http://www.ejpam.com	X
ejpam-2013	22	1	45	45	NUM
ejpam-2013	22	2	c	c	X
ejpam-2013	22	3	©	©	PROPN
ejpam-2013	22	4	2014	2014	NUM
ejpam-2013	22	5	ejpam	ejpam	NOUN
ejpam-2013	22	6	all	all	DET
ejpam-2013	22	7	rights	right	NOUN
ejpam-2013	22	8	reserved	reserve	VERB
ejpam-2013	22	9	.	.	PUNCT
ejpam-2013	23	1	w.	w.	PROPN
ejpam-2013	23	2	aeal	aeal	PROPN
ejpam-2013	23	3	/	/	SYM
ejpam-2013	23	4	eur	eur	PROPN
ejpam-2013	23	5	.	.	PUNCT
ejpam-2013	24	1	j.	j.	PROPN
ejpam-2013	24	2	pure	pure	PROPN
ejpam-2013	24	3	appl	appl	PROPN
ejpam-2013	24	4	.	.	PROPN
ejpam-2013	24	5	math	math	PROPN
ejpam-2013	24	6	,	,	PUNCT
ejpam-2013	24	7	7	7	NUM
ejpam-2013	24	8	(	(	PUNCT
ejpam-2013	24	9	2014	2014	NUM
ejpam-2013	24	10	)	)	PUNCT
ejpam-2013	24	11	,	,	PUNCT
ejpam-2013	24	12	45	45	NUM
ejpam-2013	24	13	-	-	SYM
ejpam-2013	24	14	54	54	NUM
ejpam-2013	24	15	46	46	NUM
ejpam-2013	24	16	consequently	consequently	ADV
ejpam-2013	24	17	,	,	PUNCT
ejpam-2013	24	18	we	we	PRON
ejpam-2013	24	19	showed	show	VERB
ejpam-2013	24	20	that	that	SCONJ
ejpam-2013	24	21	the	the	DET
ejpam-2013	24	22	base	base	NOUN
ejpam-2013	24	23	change	change	NOUN
ejpam-2013	24	24	of	of	ADP
ejpam-2013	24	25	steinberg	steinberg	PROPN
ejpam-2013	24	26	is	be	AUX
ejpam-2013	24	27	again	again	ADV
ejpam-2013	24	28	a	a	DET
ejpam-2013	24	29	steinberg	steinberg	PROPN
ejpam-2013	24	30	,	,	PUNCT
ejpam-2013	24	31	the	the	DET
ejpam-2013	24	32	base	base	NOUN
ejpam-2013	24	33	change	change	NOUN
ejpam-2013	24	34	of	of	ADP
ejpam-2013	24	35	a	a	DET
ejpam-2013	24	36	principal	principal	ADJ
ejpam-2013	24	37	series	series	NOUN
ejpam-2013	24	38	is	be	AUX
ejpam-2013	24	39	always	always	ADV
ejpam-2013	24	40	a	a	DET
ejpam-2013	24	41	principle	principle	ADJ
ejpam-2013	24	42	series	series	NOUN
ejpam-2013	24	43	and	and	CCONJ
ejpam-2013	24	44	the	the	DET
ejpam-2013	24	45	base	base	NOUN
ejpam-2013	24	46	change	change	NOUN
ejpam-2013	24	47	of	of	ADP
ejpam-2013	24	48	a	a	DET
ejpam-2013	24	49	cuspidal	cuspidal	NOUN
ejpam-2013	24	50	can	can	AUX
ejpam-2013	24	51	certainly	certainly	ADV
ejpam-2013	24	52	be	be	AUX
ejpam-2013	24	53	either	either	CCONJ
ejpam-2013	24	54	another	another	DET
ejpam-2013	24	55	cuspidal	cuspidal	NOUN
ejpam-2013	24	56	or	or	CCONJ
ejpam-2013	24	57	a	a	DET
ejpam-2013	24	58	principal	principal	ADJ
ejpam-2013	24	59	series	series	NOUN
ejpam-2013	24	60	.	.	PUNCT
ejpam-2013	25	1	we	we	PRON
ejpam-2013	25	2	have	have	AUX
ejpam-2013	25	3	found	find	VERB
ejpam-2013	25	4	that	that	SCONJ
ejpam-2013	25	5	whilst	whilst	SCONJ
ejpam-2013	25	6	the	the	DET
ejpam-2013	25	7	baum	baum	NOUN
ejpam-2013	25	8	-	-	PUNCT
ejpam-2013	25	9	connes	conne	NOUN
ejpam-2013	25	10	correspondence	correspondence	NOUN
ejpam-2013	25	11	takes	take	VERB
ejpam-2013	25	12	the	the	DET
ejpam-2013	25	13	homology	homology	NOUN
ejpam-2013	25	14	group	group	NOUN
ejpam-2013	25	15	generator	generator	NOUN
ejpam-2013	25	16	of	of	ADP
ejpam-2013	25	17	sl(2	sl(2	PROPN
ejpam-2013	25	18	,	,	PUNCT
ejpam-2013	25	19	e	e	NOUN
ejpam-2013	25	20	)	)	PUNCT
ejpam-2013	25	21	to	to	ADP
ejpam-2013	25	22	a	a	DET
ejpam-2013	25	23	generator	generator	NOUN
ejpam-2013	25	24	of	of	ADP
ejpam-2013	25	25	the	the	DET
ejpam-2013	25	26	k	k	NOUN
ejpam-2013	25	27	-	-	NOUN
ejpam-2013	25	28	theory	theory	NOUN
ejpam-2013	25	29	group	group	NOUN
ejpam-2013	25	30	of	of	ADP
ejpam-2013	25	31	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	25	32	of	of	ADP
ejpam-2013	25	33	sl(2	sl(2	PROPN
ejpam-2013	25	34	,	,	PUNCT
ejpam-2013	25	35	e	e	NOUN
ejpam-2013	25	36	)	)	PUNCT
ejpam-2013	25	37	by	by	ADP
ejpam-2013	25	38	induction	induction	NOUN
ejpam-2013	25	39	,	,	PUNCT
ejpam-2013	25	40	it	it	PRON
ejpam-2013	25	41	takes	take	VERB
ejpam-2013	25	42	the	the	DET
ejpam-2013	25	43	effect	effect	NOUN
ejpam-2013	25	44	of	of	ADP
ejpam-2013	25	45	the	the	DET
ejpam-2013	25	46	base	base	NOUN
ejpam-2013	25	47	change	change	NOUN
ejpam-2013	25	48	map	map	NOUN
ejpam-2013	25	49	on	on	ADP
ejpam-2013	25	50	the	the	DET
ejpam-2013	25	51	homology	homology	NOUN
ejpam-2013	25	52	side	side	NOUN
ejpam-2013	25	53	to	to	ADP
ejpam-2013	25	54	the	the	DET
ejpam-2013	25	55	base	base	NOUN
ejpam-2013	25	56	change	change	NOUN
ejpam-2013	25	57	effect	effect	NOUN
ejpam-2013	25	58	on	on	ADP
ejpam-2013	25	59	the	the	DET
ejpam-2013	25	60	k	k	NOUN
ejpam-2013	25	61	-	-	NOUN
ejpam-2013	25	62	theory	theory	NOUN
ejpam-2013	25	63	side	side	NOUN
ejpam-2013	25	64	by	by	ADP
ejpam-2013	25	65	induction	induction	NOUN
ejpam-2013	25	66	as	as	ADV
ejpam-2013	25	67	well	well	ADV
ejpam-2013	25	68	.	.	PUNCT
ejpam-2013	26	1	2	2	X
ejpam-2013	26	2	.	.	X
ejpam-2013	26	3	local	local	ADJ
ejpam-2013	26	4	langlands	langland	NOUN
ejpam-2013	26	5	correspondence	correspondence	NOUN
ejpam-2013	26	6	and	and	CCONJ
ejpam-2013	26	7	base	base	NOUN
ejpam-2013	26	8	change	change	NOUN
ejpam-2013	26	9	let	let	VERB
ejpam-2013	26	10	f	f	PRON
ejpam-2013	26	11	be	be	AUX
ejpam-2013	26	12	a	a	DET
ejpam-2013	26	13	non	non	ADJ
ejpam-2013	26	14	-	-	ADJ
ejpam-2013	26	15	archimedean	archimedean	ADJ
ejpam-2013	26	16	local	local	ADJ
ejpam-2013	26	17	field	field	NOUN
ejpam-2013	26	18	,	,	PUNCT
ejpam-2013	26	19	and	and	CCONJ
ejpam-2013	26	20	g	g	PROPN
ejpam-2013	26	21	=	=	PROPN
ejpam-2013	26	22	sl(2	sl(2	PROPN
ejpam-2013	26	23	,	,	PUNCT
ejpam-2013	26	24	f	f	NOUN
ejpam-2013	26	25	)	)	PUNCT
ejpam-2013	26	26	.	.	PUNCT
ejpam-2013	27	1	let	let	VERB
ejpam-2013	27	2	lf	lf	INTJ
ejpam-2013	27	3	be	be	AUX
ejpam-2013	27	4	the	the	DET
ejpam-2013	27	5	local	local	ADJ
ejpam-2013	27	6	langlands	langland	NOUN
ejpam-2013	27	7	group	group	NOUN
ejpam-2013	27	8	:	:	PUNCT
ejpam-2013	27	9	lf	lf	ADP
ejpam-2013	27	10	:	:	PUNCT
ejpam-2013	27	11	=	=	ADJ
ejpam-2013	27	12	wf	wf	PROPN
ejpam-2013	27	13	×	×	PROPN
ejpam-2013	27	14	sl(2,c	sl(2,c	ADV
ejpam-2013	27	15	)	)	PUNCT
ejpam-2013	27	16	.	.	PUNCT
ejpam-2013	28	1	a	a	DET
ejpam-2013	28	2	langlands	langland	NOUN
ejpam-2013	28	3	parameter	parameter	NOUN
ejpam-2013	28	4	is	be	AUX
ejpam-2013	28	5	a	a	DET
ejpam-2013	28	6	continuous	continuous	ADJ
ejpam-2013	28	7	homomorphism	homomorphism	NOUN
ejpam-2013	28	8	φ	φ	X
ejpam-2013	28	9	:	:	PUNCT
ejpam-2013	28	10	lf	lf	PROPN
ejpam-2013	28	11	→	→	SYM
ejpam-2013	28	12	g∨	g∨	PROPN
ejpam-2013	28	13	=	=	PUNCT
ejpam-2013	28	14	pgl(2,c	pgl(2,c	PROPN
ejpam-2013	28	15	)	)	PUNCT
ejpam-2013	28	16	,	,	PUNCT
ejpam-2013	28	17	where	where	SCONJ
ejpam-2013	28	18	g∨	g∨	PROPN
ejpam-2013	28	19	=	=	SYM
ejpam-2013	28	20	pgl(2,c	pgl(2,c	PROPN
ejpam-2013	28	21	)	)	PUNCT
ejpam-2013	28	22	is	be	AUX
ejpam-2013	28	23	the	the	DET
ejpam-2013	28	24	langlands	langland	NOUN
ejpam-2013	28	25	dual	dual	ADJ
ejpam-2013	28	26	group	group	NOUN
ejpam-2013	28	27	.	.	PUNCT
ejpam-2013	29	1	we	we	PRON
ejpam-2013	29	2	say	say	VERB
ejpam-2013	29	3	that	that	SCONJ
ejpam-2013	29	4	two	two	NUM
ejpam-2013	29	5	langlands	langland	NOUN
ejpam-2013	29	6	parameters	parameter	NOUN
ejpam-2013	29	7	are	be	AUX
ejpam-2013	29	8	equivalent	equivalent	ADJ
ejpam-2013	29	9	if	if	SCONJ
ejpam-2013	29	10	they	they	PRON
ejpam-2013	29	11	are	be	AUX
ejpam-2013	29	12	conjugate	conjugate	ADJ
ejpam-2013	29	13	under	under	ADP
ejpam-2013	29	14	the	the	DET
ejpam-2013	29	15	group	group	NOUN
ejpam-2013	29	16	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	29	17	)	)	PUNCT
ejpam-2013	29	18	.	.	PUNCT
ejpam-2013	30	1	let	let	VERB
ejpam-2013	30	2	φ(g	φ(g	PROPN
ejpam-2013	30	3	)	)	PUNCT
ejpam-2013	30	4	be	be	VERB
ejpam-2013	30	5	the	the	DET
ejpam-2013	30	6	set	set	NOUN
ejpam-2013	30	7	of	of	ADP
ejpam-2013	30	8	equivalence	equivalence	NOUN
ejpam-2013	30	9	classes	class	NOUN
ejpam-2013	30	10	of	of	ADP
ejpam-2013	30	11	the	the	DET
ejpam-2013	30	12	langlands	langland	NOUN
ejpam-2013	30	13	parameters	parameter	NOUN
ejpam-2013	30	14	.	.	PUNCT
ejpam-2013	31	1	now	now	ADV
ejpam-2013	31	2	,	,	PUNCT
ejpam-2013	31	3	the	the	DET
ejpam-2013	31	4	local	local	ADJ
ejpam-2013	31	5	langlands	langland	NOUN
ejpam-2013	31	6	correspondence	correspondence	NOUN
ejpam-2013	31	7	is	be	AUX
ejpam-2013	31	8	defined	define	VERB
ejpam-2013	31	9	to	to	PART
ejpam-2013	31	10	be	be	AUX
ejpam-2013	31	11	the	the	DET
ejpam-2013	31	12	surjective	surjective	ADJ
ejpam-2013	31	13	map	map	NOUN
ejpam-2013	31	14	i	i	PRON
ejpam-2013	31	15	r	r	VERB
ejpam-2013	31	16	r(g)−→	r(g)−→	NOUN
ejpam-2013	31	17	φ(g	φ(g	PROPN
ejpam-2013	31	18	)	)	PUNCT
ejpam-2013	31	19	,	,	PUNCT
ejpam-2013	31	20	aφ	aφ	ADP
ejpam-2013	31	21	7−→	7−→	PROPN
ejpam-2013	31	22	φ	φ	NUM
ejpam-2013	31	23	where	where	SCONJ
ejpam-2013	31	24	aφ	aφ	NOUN
ejpam-2013	31	25	is	be	AUX
ejpam-2013	31	26	the	the	DET
ejpam-2013	31	27	pre	pre	NOUN
ejpam-2013	31	28	-	-	NOUN
ejpam-2013	31	29	image	image	NOUN
ejpam-2013	31	30	of	of	ADP
ejpam-2013	31	31	φ	φ	NUM
ejpam-2013	31	32	which	which	PRON
ejpam-2013	31	33	is	be	AUX
ejpam-2013	31	34	called	call	VERB
ejpam-2013	31	35	the	the	DET
ejpam-2013	31	36	l	l	NOUN
ejpam-2013	31	37	-	-	NOUN
ejpam-2013	31	38	packet	packet	NOUN
ejpam-2013	31	39	.	.	PUNCT
ejpam-2013	32	1	the	the	DET
ejpam-2013	32	2	base	base	NOUN
ejpam-2013	32	3	change	change	NOUN
ejpam-2013	32	4	map	map	NOUN
ejpam-2013	32	5	is	be	AUX
ejpam-2013	32	6	defined	define	VERB
ejpam-2013	32	7	by	by	ADP
ejpam-2013	32	8	the	the	DET
ejpam-2013	32	9	restriction	restriction	NOUN
ejpam-2013	32	10	of	of	ADP
ejpam-2013	32	11	l	l	NOUN
ejpam-2013	32	12	-	-	NOUN
ejpam-2013	32	13	parameter	parameter	NOUN
ejpam-2013	32	14	from	from	ADP
ejpam-2013	32	15	lf	lf	NOUN
ejpam-2013	32	16	to	to	ADP
ejpam-2013	32	17	le	le	PROPN
ejpam-2013	32	18	,	,	PUNCT
ejpam-2013	32	19	where	where	SCONJ
ejpam-2013	32	20	e	e	NOUN
ejpam-2013	32	21	is	be	AUX
ejpam-2013	32	22	a	a	DET
ejpam-2013	32	23	finite	finite	ADJ
ejpam-2013	32	24	extension	extension	NOUN
ejpam-2013	32	25	of	of	ADP
ejpam-2013	32	26	f	f	PROPN
ejpam-2013	32	27	φ|we	φ|we	PROPN
ejpam-2013	32	28	:	:	PUNCT
ejpam-2013	32	29	we	we	PRON
ejpam-2013	32	30	×	×	VERB
ejpam-2013	32	31	sl(2,c)→	sl(2,c)→	PROPN
ejpam-2013	32	32	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	32	33	)	)	PUNCT
ejpam-2013	32	34	.	.	PUNCT
ejpam-2013	33	1	lemma	lemma	PROPN
ejpam-2013	33	2	1	1	X
ejpam-2013	33	3	.	.	PUNCT
ejpam-2013	34	1	let	let	VERB
ejpam-2013	34	2	α	α	NOUN
ejpam-2013	34	3	e	e	NOUN
ejpam-2013	34	4	=	=	PUNCT
ejpam-2013	34	5	γ	γ	X
ejpam-2013	34	6	e	e	NOUN
ejpam-2013	34	7	◦	◦	NOUN
ejpam-2013	34	8	β	β	X
ejpam-2013	34	9	e	e	NOUN
ejpam-2013	34	10	:	:	PUNCT
ejpam-2013	34	11	we	we	PRON
ejpam-2013	34	12	→	→	PUNCT
ejpam-2013	34	13	e×	e×	PROPN
ejpam-2013	34	14	,	,	PUNCT
ejpam-2013	34	15	where	where	SCONJ
ejpam-2013	34	16	γ	γ	X
ejpam-2013	34	17	e	e	NOUN
ejpam-2013	34	18	:	:	PUNCT
ejpam-2013	34	19	w	w	PROPN
ejpam-2013	34	20	ab	ab	PROPN
ejpam-2013	34	21	e	e	PROPN
ejpam-2013	34	22	→	→	PUNCT
ejpam-2013	34	23	e×	e×	PROPN
ejpam-2013	34	24	and	and	CCONJ
ejpam-2013	34	25	β	β	X
ejpam-2013	34	26	e	e	NOUN
ejpam-2013	34	27	:	:	PUNCT
ejpam-2013	34	28	we	we	PRON
ejpam-2013	34	29	→w	→w	PUNCT
ejpam-2013	34	30	ab	ab	PROPN
ejpam-2013	34	31	e	e	PROPN
ejpam-2013	34	32	then	then	ADV
ejpam-2013	34	33	we	we	PRON
ejpam-2013	34	34	have	have	VERB
ejpam-2013	34	35	:	:	PUNCT
ejpam-2013	34	36	i	i	NOUN
ejpam-2013	34	37	)	)	PUNCT
ejpam-2013	34	38	ne	ne	PROPN
ejpam-2013	34	39	/	/	SYM
ejpam-2013	34	40	f	f	PROPN
ejpam-2013	34	41	(	(	PUNCT
ejpam-2013	34	42	αe(w	αe(w	NUM
ejpam-2013	34	43	)	)	PUNCT
ejpam-2013	34	44	)	)	PUNCT
ejpam-2013	35	1	=	=	SYM
ejpam-2013	35	2	αf	αf	X
ejpam-2013	35	3	(	(	PUNCT
ejpam-2013	35	4	w	w	NOUN
ejpam-2013	35	5	)	)	PUNCT
ejpam-2013	35	6	,	,	PUNCT
ejpam-2013	35	7	w	w	PROPN
ejpam-2013	35	8	∈we	∈we	PROPN
ejpam-2013	35	9	⊂wf	⊂wf	NOUN
ejpam-2013	35	10	.	.	PUNCT
ejpam-2013	35	11	ii	ii	X
ejpam-2013	35	12	)	)	PUNCT
ejpam-2013	35	13	f	f	NOUN
ejpam-2013	35	14	.vale	.vale	PUNCT
ejpam-2013	35	15	=	=	SYM
ejpam-2013	35	16	valf	valf	NOUN
ejpam-2013	35	17	◦	◦	NOUN
ejpam-2013	35	18	ne	ne	PROPN
ejpam-2013	35	19	/	/	SYM
ejpam-2013	35	20	f	f	PROPN
ejpam-2013	35	21	.	.	PUNCT
ejpam-2013	35	22	iii	iii	X
ejpam-2013	35	23	)	)	PUNCT
ejpam-2013	35	24	de	de	NOUN
ejpam-2013	35	25	=	=	NOUN
ejpam-2013	35	26	−vale	−vale	PROPN
ejpam-2013	35	27	◦	◦	NOUN
ejpam-2013	35	28	αe	αe	NOUN
ejpam-2013	35	29	.	.	PUNCT
ejpam-2013	36	1	iv	iv	X
ejpam-2013	36	2	)	)	PUNCT
ejpam-2013	36	3	let	let	VERB
ejpam-2013	36	4	w	w	PROPN
ejpam-2013	36	5	∈we	∈we	VERB
ejpam-2013	36	6	⊂wf	⊂wf	NOUN
ejpam-2013	36	7	.	.	PUNCT
ejpam-2013	37	1	then	then	ADV
ejpam-2013	37	2	we	we	PRON
ejpam-2013	37	3	have	have	VERB
ejpam-2013	37	4	f	f	PROPN
ejpam-2013	37	5	.de(w	.de(w	PUNCT
ejpam-2013	37	6	)	)	PUNCT
ejpam-2013	38	1	=	=	SYM
ejpam-2013	38	2	df	df	X
ejpam-2013	38	3	(	(	PUNCT
ejpam-2013	38	4	w	w	NOUN
ejpam-2013	38	5	)	)	PUNCT
ejpam-2013	38	6	.	.	PUNCT
ejpam-2013	39	1	proof	proof	NOUN
ejpam-2013	39	2	.	.	PUNCT
ejpam-2013	40	1	see	see	VERB
ejpam-2013	40	2	[	[	X
ejpam-2013	40	3	2	2	NUM
ejpam-2013	40	4	,	,	PUNCT
ejpam-2013	40	5	1.2.2	1.2.2	NUM
ejpam-2013	40	6	]	]	PUNCT
ejpam-2013	40	7	for	for	ADP
ejpam-2013	40	8	1	1	NUM
ejpam-2013	40	9	,	,	PUNCT
ejpam-2013	40	10	[	[	X
ejpam-2013	40	11	10	10	NUM
ejpam-2013	40	12	,	,	PUNCT
ejpam-2013	40	13	p.	p.	NOUN
ejpam-2013	40	14	139	139	NUM
ejpam-2013	40	15	]	]	PUNCT
ejpam-2013	40	16	for	for	ADP
ejpam-2013	40	17	2	2	NUM
ejpam-2013	40	18	,	,	PUNCT
ejpam-2013	40	19	and	and	CCONJ
ejpam-2013	40	20	see	see	VERB
ejpam-2013	40	21	[	[	X
ejpam-2013	40	22	6	6	NUM
ejpam-2013	40	23	]	]	PUNCT
ejpam-2013	40	24	for	for	ADP
ejpam-2013	40	25	3	3	NUM
ejpam-2013	40	26	and	and	CCONJ
ejpam-2013	40	27	4	4	NUM
ejpam-2013	40	28	.	.	PUNCT
ejpam-2013	41	1	now	now	ADV
ejpam-2013	41	2	,	,	PUNCT
ejpam-2013	41	3	an	an	DET
ejpam-2013	41	4	unramified	unramifie	VERB
ejpam-2013	41	5	character	character	NOUN
ejpam-2013	41	6	ψ	ψ	NOUN
ejpam-2013	41	7	of	of	ADP
ejpam-2013	41	8	we	we	PRON
ejpam-2013	41	9	is	be	AUX
ejpam-2013	41	10	given	give	VERB
ejpam-2013	41	11	by	by	ADP
ejpam-2013	41	12	the	the	DET
ejpam-2013	41	13	following	follow	VERB
ejpam-2013	41	14	simple	simple	ADJ
ejpam-2013	41	15	formula	formula	NOUN
ejpam-2013	41	16	:	:	PUNCT
ejpam-2013	41	17	ψ(w	ψ(w	X
ejpam-2013	41	18	)	)	PUNCT
ejpam-2013	41	19	=	=	PUNCT
ejpam-2013	41	20	zde(w	zde(w	NUM
ejpam-2013	41	21	)	)	PUNCT
ejpam-2013	41	22	,	,	PUNCT
ejpam-2013	41	23	z	z	PROPN
ejpam-2013	41	24	∈	∈	PROPN
ejpam-2013	41	25	c×.	c×.	PROPN
ejpam-2013	41	26	the	the	DET
ejpam-2013	41	27	base	base	NOUN
ejpam-2013	41	28	change	change	NOUN
ejpam-2013	41	29	formula	formula	NOUN
ejpam-2013	41	30	for	for	ADP
ejpam-2013	41	31	a	a	DET
ejpam-2013	41	32	character	character	NOUN
ejpam-2013	41	33	χ	χ	NOUN
ejpam-2013	41	34	of	of	ADP
ejpam-2013	41	35	wf	wf	PROPN
ejpam-2013	41	36	is	be	AUX
ejpam-2013	41	37	given	give	VERB
ejpam-2013	41	38	by	by	ADP
ejpam-2013	41	39	bc(χ	bc(χ	NOUN
ejpam-2013	41	40	)	)	PUNCT
ejpam-2013	41	41	=	=	SYM
ejpam-2013	42	1	χ	χ	PRON
ejpam-2013	42	2	|we	|we	X
ejpam-2013	42	3	.	.	PUNCT
ejpam-2013	43	1	lemma	lemma	PROPN
ejpam-2013	43	2	2	2	NUM
ejpam-2013	43	3	.	.	PUNCT
ejpam-2013	44	1	under	under	ADP
ejpam-2013	44	2	base	base	NOUN
ejpam-2013	44	3	change	change	NOUN
ejpam-2013	44	4	we	we	PRON
ejpam-2013	44	5	have	have	VERB
ejpam-2013	44	6	bc(ψ)(w	bc(ψ)(w	NOUN
ejpam-2013	44	7	)	)	PUNCT
ejpam-2013	45	1	=	=	PUNCT
ejpam-2013	45	2	(	(	PUNCT
ejpam-2013	45	3	z	z	NOUN
ejpam-2013	45	4	f	f	NOUN
ejpam-2013	45	5	)	)	PUNCT
ejpam-2013	45	6	de(w	de(w	PROPN
ejpam-2013	45	7	)	)	PUNCT
ejpam-2013	45	8	for	for	ADP
ejpam-2013	45	9	all	all	DET
ejpam-2013	45	10	w	w	NOUN
ejpam-2013	45	11	∈we	∈we	NOUN
ejpam-2013	45	12	.	.	PUNCT
ejpam-2013	46	1	w.	w.	PROPN
ejpam-2013	46	2	aeal	aeal	PROPN
ejpam-2013	46	3	/	/	SYM
ejpam-2013	46	4	eur	eur	PROPN
ejpam-2013	46	5	.	.	PUNCT
ejpam-2013	47	1	j.	j.	PROPN
ejpam-2013	47	2	pure	pure	PROPN
ejpam-2013	47	3	appl	appl	PROPN
ejpam-2013	47	4	.	.	PROPN
ejpam-2013	47	5	math	math	PROPN
ejpam-2013	47	6	,	,	PUNCT
ejpam-2013	47	7	7	7	NUM
ejpam-2013	47	8	(	(	PUNCT
ejpam-2013	47	9	2014	2014	NUM
ejpam-2013	47	10	)	)	PUNCT
ejpam-2013	47	11	,	,	PUNCT
ejpam-2013	47	12	45	45	NUM
ejpam-2013	47	13	-	-	SYM
ejpam-2013	47	14	54	54	NUM
ejpam-2013	47	15	47	47	NUM
ejpam-2013	47	16	proof	proof	NOUN
ejpam-2013	47	17	.	.	PUNCT
ejpam-2013	48	1	the	the	DET
ejpam-2013	48	2	result	result	NOUN
ejpam-2013	48	3	follows	follow	VERB
ejpam-2013	48	4	directly	directly	ADV
ejpam-2013	48	5	from	from	ADP
ejpam-2013	48	6	part	part	NOUN
ejpam-2013	48	7	4	4	NUM
ejpam-2013	48	8	of	of	ADP
ejpam-2013	48	9	lemma	lemma	PROPN
ejpam-2013	48	10	1	1	NUM
ejpam-2013	48	11	.	.	PUNCT
ejpam-2013	49	1	lemma	lemma	PROPN
ejpam-2013	49	2	3	3	X
ejpam-2013	49	3	.	.	PUNCT
ejpam-2013	50	1	let	let	VERB
ejpam-2013	50	2	φ	φ	PROPN
ejpam-2013	50	3	=	=	SYM
ejpam-2013	50	4	1⊗τ(2	1⊗τ(2	NUM
ejpam-2013	50	5	)	)	PUNCT
ejpam-2013	50	6	and	and	CCONJ
ejpam-2013	50	7	φ	φ	NUM
ejpam-2013	50	8	′	′	NUM
ejpam-2013	51	1	=	=	NOUN
ejpam-2013	51	2	ψ⊗τ(2	ψ⊗τ(2	X
ejpam-2013	51	3	)	)	PUNCT
ejpam-2013	51	4	be	be	VERB
ejpam-2013	51	5	two	two	NUM
ejpam-2013	51	6	l	l	NOUN
ejpam-2013	51	7	-	-	NOUN
ejpam-2013	51	8	parameters	parameter	NOUN
ejpam-2013	51	9	,	,	PUNCT
ejpam-2013	51	10	whereψ	whereψ	NOUN
ejpam-2013	51	11	is	be	AUX
ejpam-2013	51	12	an	an	DET
ejpam-2013	51	13	unramified	unramifie	VERB
ejpam-2013	51	14	character	character	NOUN
ejpam-2013	51	15	of	of	ADP
ejpam-2013	51	16	wf	wf	PROPN
ejpam-2013	51	17	.	.	PUNCT
ejpam-2013	52	1	then	then	ADV
ejpam-2013	52	2	φ	φ	PROPN
ejpam-2013	52	3	=	=	SYM
ejpam-2013	52	4	φ	φ	PROPN
ejpam-2013	52	5	′	′	NUM
ejpam-2013	52	6	in	in	ADP
ejpam-2013	52	7	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	52	8	)	)	PUNCT
ejpam-2013	52	9	.	.	PUNCT
ejpam-2013	53	1	proof	proof	NOUN
ejpam-2013	53	2	.	.	PUNCT
ejpam-2013	54	1	let	let	VERB
ejpam-2013	54	2	df	df	NOUN
ejpam-2013	54	3	:	:	PUNCT
ejpam-2013	54	4	wf	wf	PROPN
ejpam-2013	54	5	//	//	PROPN
ejpam-2013	54	6	w	w	AUX
ejpam-2013	54	7	ab	ab	PROPN
ejpam-2013	54	8	f	f	X
ejpam-2013	54	9	'	'	PUNCT
ejpam-2013	54	10	f×	f×	VERB
ejpam-2013	54	11	valf	valf	NOUN
ejpam-2013	54	12	//	//	NUM
ejpam-2013	55	1	z	z	PROPN
ejpam-2013	55	2	.	.	PUNCT
ejpam-2013	56	1	we	we	PRON
ejpam-2013	56	2	have	have	VERB
ejpam-2013	56	3	ψ(w	ψ(w	NUM
ejpam-2013	56	4	)	)	PUNCT
ejpam-2013	56	5	=	=	SYM
ejpam-2013	56	6	zd(w	zd(w	NOUN
ejpam-2013	56	7	)	)	PUNCT
ejpam-2013	56	8	where	where	SCONJ
ejpam-2013	56	9	z	z	PROPN
ejpam-2013	56	10	∈	∈	PROPN
ejpam-2013	56	11	c×	c×	PROPN
ejpam-2013	56	12	,	,	PUNCT
ejpam-2013	56	13	ψ	ψ	ADP
ejpam-2013	56	14	unitary	unitary	ADJ
ejpam-2013	56	15	character	character	NOUN
ejpam-2013	56	16	if	if	SCONJ
ejpam-2013	56	17	and	and	CCONJ
ejpam-2013	56	18	only	only	ADV
ejpam-2013	56	19	if	if	SCONJ
ejpam-2013	56	20	z	z	NOUN
ejpam-2013	56	21	∈	∈	PROPN
ejpam-2013	56	22	t.	t.	NOUN
ejpam-2013	56	23	let	let	VERB
ejpam-2013	56	24	φ	φ	PROPN
ejpam-2013	56	25	=	=	PROPN
ejpam-2013	57	1	1⊗τ(2	1⊗τ(2	NUM
ejpam-2013	57	2	)	)	PUNCT
ejpam-2013	57	3	:	:	PUNCT
ejpam-2013	57	4	wf	wf	PROPN
ejpam-2013	57	5	×	×	PROPN
ejpam-2013	57	6	sl(2,c)→	sl(2,c)→	PROPN
ejpam-2013	57	7	pgl2(c	pgl2(c	NUM
ejpam-2013	57	8	)	)	PUNCT
ejpam-2013	57	9	and	and	CCONJ
ejpam-2013	57	10	φ	φ	NUM
ejpam-2013	57	11	′	′	NUM
ejpam-2013	58	1	=	=	NOUN
ejpam-2013	58	2	ψ⊗τ(2	ψ⊗τ(2	X
ejpam-2013	58	3	)	)	PUNCT
ejpam-2013	58	4	:	:	PUNCT
ejpam-2013	58	5	wf	wf	PROPN
ejpam-2013	58	6	×	×	PROPN
ejpam-2013	58	7	sl(2,c)→	sl(2,c)→	PROPN
ejpam-2013	58	8	pgl2(c	pgl2(c	NOUN
ejpam-2013	58	9	)	)	PUNCT
ejpam-2013	58	10	such	such	ADJ
ejpam-2013	58	11	that	that	SCONJ
ejpam-2013	58	12	φ(w	φ(w	PROPN
ejpam-2013	58	13	,	,	PUNCT
ejpam-2013	58	14	a	a	PRON
ejpam-2013	58	15	)	)	PUNCT
ejpam-2013	58	16	=	=	SYM
ejpam-2013	58	17	1	1	NUM
ejpam-2013	58	18	·	·	SYM
ejpam-2013	58	19	τ(2	τ(2	PROPN
ejpam-2013	58	20	)	)	PUNCT
ejpam-2013	58	21	�	�	PROPN
ejpam-2013	58	22	a	a	DET
ejpam-2013	58	23	�	�	PROPN
ejpam-2013	58	24	=	=	PUNCT
ejpam-2013	58	25	τ(a	τ(a	NOUN
ejpam-2013	58	26	)	)	PUNCT
ejpam-2013	58	27	and	and	CCONJ
ejpam-2013	58	28	φ	φ	NUM
ejpam-2013	58	29	′	′	NUM
ejpam-2013	59	1	(	(	PUNCT
ejpam-2013	60	1	w	w	PROPN
ejpam-2013	60	2	,	,	PUNCT
ejpam-2013	60	3	a	a	NOUN
ejpam-2013	60	4	)	)	PUNCT
ejpam-2013	60	5	=	=	SYM
ejpam-2013	60	6	ψ(w	ψ(w	X
ejpam-2013	60	7	)	)	PUNCT
ejpam-2013	60	8	·	·	PUNCT
ejpam-2013	60	9	τ(2	τ(2	PROPN
ejpam-2013	60	10	)	)	PUNCT
ejpam-2013	60	11	�	�	PROPN
ejpam-2013	60	12	a	a	DET
ejpam-2013	60	13	�	�	PROPN
ejpam-2013	60	14	=	=	SYM
ejpam-2013	60	15	zd(w	zd(w	NUM
ejpam-2013	60	16	)	)	PUNCT
ejpam-2013	60	17	·	·	PUNCT
ejpam-2013	60	18	τ(a	τ(a	NOUN
ejpam-2013	60	19	)	)	PUNCT
ejpam-2013	60	20	.	.	PUNCT
ejpam-2013	61	1	we	we	PRON
ejpam-2013	61	2	see	see	VERB
ejpam-2013	61	3	that	that	SCONJ
ejpam-2013	61	4	τ(a	τ(a	NOUN
ejpam-2013	61	5	)	)	PUNCT
ejpam-2013	61	6	and	and	CCONJ
ejpam-2013	61	7	(	(	PUNCT
ejpam-2013	61	8	z	z	PROPN
ejpam-2013	61	9	d(w	d(w	PROPN
ejpam-2013	61	10	)	)	PUNCT
ejpam-2013	61	11	·	·	PUNCT
ejpam-2013	61	12	τ(a	τ(a	NOUN
ejpam-2013	61	13	)	)	PUNCT
ejpam-2013	61	14	)	)	PUNCT
ejpam-2013	61	15	are	be	AUX
ejpam-2013	61	16	both	both	PRON
ejpam-2013	61	17	in	in	ADP
ejpam-2013	61	18	the	the	DET
ejpam-2013	61	19	same	same	ADJ
ejpam-2013	61	20	group	group	NOUN
ejpam-2013	61	21	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	61	22	)	)	PUNCT
ejpam-2013	61	23	and	and	CCONJ
ejpam-2013	61	24	this	this	PRON
ejpam-2013	61	25	means	mean	VERB
ejpam-2013	61	26	thatφ	thatφ	NOUN
ejpam-2013	61	27	=	=	SYM
ejpam-2013	61	28	φ	φ	PROPN
ejpam-2013	61	29	′	′	NUM
ejpam-2013	61	30	.	.	PUNCT
ejpam-2013	62	1	theorem	theorem	ADJ
ejpam-2013	62	2	1	1	NUM
ejpam-2013	62	3	.	.	PUNCT
ejpam-2013	63	1	letφ	letφ	PROPN
ejpam-2013	63	2	=	=	NOUN
ejpam-2013	63	3	1⊗τ(2	1⊗τ(2	X
ejpam-2013	63	4	)	)	PUNCT
ejpam-2013	63	5	be	be	AUX
ejpam-2013	63	6	the	the	DET
ejpam-2013	63	7	l	l	NOUN
ejpam-2013	63	8	-	-	NOUN
ejpam-2013	63	9	parameter	parameter	NOUN
ejpam-2013	63	10	of	of	ADP
ejpam-2013	63	11	the	the	DET
ejpam-2013	63	12	steinberg	steinberg	PROPN
ejpam-2013	63	13	representation	representation	NOUN
ejpam-2013	63	14	,	,	PUNCT
ejpam-2013	63	15	then	then	ADV
ejpam-2013	63	16	we	we	PRON
ejpam-2013	63	17	have	have	VERB
ejpam-2013	63	18	bc(stg(f	bc(stg(f	NOUN
ejpam-2013	63	19	)	)	PUNCT
ejpam-2013	63	20	)	)	PUNCT
ejpam-2013	64	1	=	=	PUNCT
ejpam-2013	64	2	stg(e	stg(e	PROPN
ejpam-2013	64	3	)	)	PUNCT
ejpam-2013	64	4	.	.	PUNCT
ejpam-2013	65	1	proof	proof	NOUN
ejpam-2013	65	2	.	.	PUNCT
ejpam-2013	66	1	let	let	VERB
ejpam-2013	66	2	lf	lf	NOUN
ejpam-2013	66	3	=	=	NOUN
ejpam-2013	66	4	wf	wf	PROPN
ejpam-2013	66	5	×	×	PROPN
ejpam-2013	66	6	sl(2,c	sl(2,c	NOUN
ejpam-2013	66	7	)	)	PUNCT
ejpam-2013	66	8	and	and	CCONJ
ejpam-2013	66	9	le	le	X
ejpam-2013	67	1	=	=	NOUN
ejpam-2013	67	2	we	we	PRON
ejpam-2013	67	3	×	×	VERB
ejpam-2013	67	4	sl(2,c	sl(2,c	ADV
ejpam-2013	67	5	)	)	PUNCT
ejpam-2013	67	6	be	be	VERB
ejpam-2013	67	7	the	the	DET
ejpam-2013	67	8	local	local	ADJ
ejpam-2013	67	9	langlands	langland	NOUN
ejpam-2013	67	10	groups	group	NOUN
ejpam-2013	67	11	and	and	CCONJ
ejpam-2013	67	12	let	let	VERB
ejpam-2013	67	13	φ	φ	PROPN
ejpam-2013	67	14	:	:	PUNCT
ejpam-2013	67	15	lf	lf	ADP
ejpam-2013	67	16	1wf⊗τ(2	1wf⊗τ(2	NUM
ejpam-2013	67	17	)	)	PUNCT
ejpam-2013	67	18	//	//	X
ejpam-2013	67	19	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	67	20	)	)	PUNCT
ejpam-2013	67	21	be	be	AUX
ejpam-2013	67	22	the	the	DET
ejpam-2013	67	23	l	l	NOUN
ejpam-2013	67	24	-	-	NOUN
ejpam-2013	67	25	parameter	parameter	NOUN
ejpam-2013	67	26	,	,	PUNCT
ejpam-2013	67	27	this	this	DET
ejpam-2013	67	28	parameter	parameter	NOUN
ejpam-2013	67	29	works	work	VERB
ejpam-2013	67	30	as	as	SCONJ
ejpam-2013	67	31	follows	follow	VERB
ejpam-2013	67	32	(	(	PUNCT
ejpam-2013	67	33	w	w	PROPN
ejpam-2013	67	34	,	,	PUNCT
ejpam-2013	67	35	y	y	PROPN
ejpam-2013	67	36	)	)	PUNCT
ejpam-2013	67	37	7−→	7−→	PROPN
ejpam-2013	68	1	[	[	X
ejpam-2013	68	2	y	y	X
ejpam-2013	68	3	]	]	PUNCT
ejpam-2013	68	4	.	.	PUNCT
ejpam-2013	69	1	we	we	PRON
ejpam-2013	69	2	know	know	VERB
ejpam-2013	69	3	that	that	SCONJ
ejpam-2013	69	4	le	le	PROPN
ejpam-2013	69	5	⊂	⊂	PROPN
ejpam-2013	69	6	lf	lf	PROPN
ejpam-2013	69	7	.	.	PUNCT
ejpam-2013	70	1	the	the	DET
ejpam-2013	70	2	base	base	NOUN
ejpam-2013	70	3	change	change	NOUN
ejpam-2013	70	4	works	work	VERB
ejpam-2013	70	5	by	by	ADP
ejpam-2013	70	6	restriction	restriction	NOUN
ejpam-2013	70	7	the	the	DET
ejpam-2013	70	8	l	l	NOUN
ejpam-2013	70	9	-	-	NOUN
ejpam-2013	70	10	parameter	parameter	NOUN
ejpam-2013	70	11	to	to	ADP
ejpam-2013	70	12	we	we	PRON
ejpam-2013	70	13	,	,	PUNCT
ejpam-2013	70	14	in	in	ADP
ejpam-2013	70	15	another	another	DET
ejpam-2013	70	16	words	word	NOUN
ejpam-2013	70	17	φ|we	φ|we	ADP
ejpam-2013	70	18	:	:	PUNCT
ejpam-2013	70	19	le	le	PROPN
ejpam-2013	70	20	1we⊗τ(2	1we⊗τ(2	NUM
ejpam-2013	70	21	)	)	PUNCT
ejpam-2013	70	22	//	//	X
ejpam-2013	70	23	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	70	24	)	)	PUNCT
ejpam-2013	70	25	.	.	PUNCT
ejpam-2013	71	1	since	since	SCONJ
ejpam-2013	71	2	the	the	DET
ejpam-2013	71	3	restriction	restriction	NOUN
ejpam-2013	71	4	works	work	VERB
ejpam-2013	71	5	only	only	ADV
ejpam-2013	71	6	on	on	ADP
ejpam-2013	71	7	the	the	DET
ejpam-2013	71	8	weil	weil	PROPN
ejpam-2013	71	9	group	group	PROPN
ejpam-2013	71	10	side	side	NOUN
ejpam-2013	71	11	which	which	PRON
ejpam-2013	71	12	in	in	ADP
ejpam-2013	71	13	our	our	PRON
ejpam-2013	71	14	case	case	NOUN
ejpam-2013	71	15	is	be	AUX
ejpam-2013	71	16	the	the	DET
ejpam-2013	71	17	trivial	trivial	ADJ
ejpam-2013	71	18	representation	representation	NOUN
ejpam-2013	71	19	of	of	ADP
ejpam-2013	71	20	wf	wf	PROPN
ejpam-2013	71	21	and	and	CCONJ
ejpam-2013	71	22	since	since	SCONJ
ejpam-2013	71	23	the	the	DET
ejpam-2013	71	24	restriction	restriction	NOUN
ejpam-2013	71	25	of	of	ADP
ejpam-2013	71	26	the	the	DET
ejpam-2013	71	27	trivial	trivial	ADJ
ejpam-2013	71	28	representation	representation	NOUN
ejpam-2013	71	29	of	of	ADP
ejpam-2013	71	30	wf	wf	PROPN
ejpam-2013	71	31	is	be	AUX
ejpam-2013	71	32	also	also	ADV
ejpam-2013	71	33	the	the	DET
ejpam-2013	71	34	trivial	trivial	ADJ
ejpam-2013	71	35	representation	representation	NOUN
ejpam-2013	71	36	of	of	ADP
ejpam-2013	71	37	we	we	PRON
ejpam-2013	71	38	,	,	PUNCT
ejpam-2013	71	39	then	then	ADV
ejpam-2013	71	40	the	the	DET
ejpam-2013	71	41	resulting	result	VERB
ejpam-2013	71	42	representation	representation	NOUN
ejpam-2013	71	43	is	be	AUX
ejpam-2013	71	44	also	also	ADV
ejpam-2013	71	45	the	the	DET
ejpam-2013	71	46	steinberg	steinberg	PROPN
ejpam-2013	71	47	representation	representation	NOUN
ejpam-2013	71	48	,	,	PUNCT
ejpam-2013	71	49	i.e	i.e	PRON
ejpam-2013	71	50	bc(stg(f	bc(stg(f	NOUN
ejpam-2013	71	51	)	)	PUNCT
ejpam-2013	71	52	)	)	PUNCT
ejpam-2013	72	1	=	=	PUNCT
ejpam-2013	72	2	stg(e	stg(e	PROPN
ejpam-2013	72	3	)	)	PUNCT
ejpam-2013	72	4	.	.	PUNCT
ejpam-2013	73	1	φ	φ	PROPN
ejpam-2013	73	2	:	:	PUNCT
ejpam-2013	73	3	wf	wf	PROPN
ejpam-2013	73	4	×	×	PROPN
ejpam-2013	73	5	sl(2,c	sl(2,c	NOUN
ejpam-2013	73	6	)	)	PUNCT
ejpam-2013	73	7	�	�	PROPN
ejpam-2013	73	8	�	�	PROPN
ejpam-2013	73	9	//	//	NUM
ejpam-2013	73	10	pgl2(c	pgl2(c	NOUN
ejpam-2013	73	11	)	)	PUNCT
ejpam-2013	73	12	‖	‖	PROPN
ejpam-2013	73	13	�	�	PROPN
ejpam-2013	73	14	�	�	PROPN
ejpam-2013	73	15	φ|we	φ|we	PROPN
ejpam-2013	73	16	:	:	PUNCT
ejpam-2013	73	17	we	we	PRON
ejpam-2013	73	18	×	×	VERB
ejpam-2013	73	19	sl(2,c	sl(2,c	ADV
ejpam-2013	73	20	)	)	PUNCT
ejpam-2013	73	21	//	//	NUM
ejpam-2013	73	22	pgl2(c	pgl2(c	NUM
ejpam-2013	73	23	)	)	PUNCT
ejpam-2013	73	24	w.	w.	PROPN
ejpam-2013	73	25	aeal	aeal	PROPN
ejpam-2013	73	26	/	/	SYM
ejpam-2013	73	27	eur	eur	PROPN
ejpam-2013	73	28	.	.	PUNCT
ejpam-2013	74	1	j.	j.	PROPN
ejpam-2013	74	2	pure	pure	PROPN
ejpam-2013	74	3	appl	appl	PROPN
ejpam-2013	74	4	.	.	PROPN
ejpam-2013	74	5	math	math	PROPN
ejpam-2013	74	6	,	,	PUNCT
ejpam-2013	74	7	7	7	NUM
ejpam-2013	74	8	(	(	PUNCT
ejpam-2013	74	9	2014	2014	NUM
ejpam-2013	74	10	)	)	PUNCT
ejpam-2013	74	11	,	,	PUNCT
ejpam-2013	74	12	45	45	NUM
ejpam-2013	74	13	-	-	SYM
ejpam-2013	74	14	54	54	NUM
ejpam-2013	74	15	48	48	NUM
ejpam-2013	74	16	theorem	theorem	NOUN
ejpam-2013	74	17	2	2	NUM
ejpam-2013	74	18	.	.	PUNCT
ejpam-2013	75	1	let	let	VERB
ejpam-2013	75	2	t	t	PROPN
ejpam-2013	75	3	be	be	AUX
ejpam-2013	75	4	one	one	NUM
ejpam-2013	75	5	of	of	ADP
ejpam-2013	75	6	the	the	DET
ejpam-2013	75	7	circles	circle	NOUN
ejpam-2013	75	8	in	in	ADP
ejpam-2013	75	9	the	the	DET
ejpam-2013	75	10	unitary	unitary	ADJ
ejpam-2013	75	11	principal	principal	ADJ
ejpam-2013	75	12	series	series	NOUN
ejpam-2013	75	13	of	of	ADP
ejpam-2013	75	14	sl(2	sl(2	PROPN
ejpam-2013	75	15	,	,	PUNCT
ejpam-2013	75	16	f	f	PROPN
ejpam-2013	75	17	)	)	PUNCT
ejpam-2013	75	18	,	,	PUNCT
ejpam-2013	75	19	then	then	ADV
ejpam-2013	75	20	we	we	PRON
ejpam-2013	75	21	have	have	VERB
ejpam-2013	75	22	t→	t→	PROPN
ejpam-2013	75	23	t	t	PROPN
ejpam-2013	75	24	,	,	PUNCT
ejpam-2013	75	25	z	z	NOUN
ejpam-2013	76	1	7→	7→	NUM
ejpam-2013	76	2	z	z	NOUN
ejpam-2013	76	3	f	f	NOUN
ejpam-2013	76	4	,	,	PUNCT
ejpam-2013	76	5	under	under	ADP
ejpam-2013	76	6	base	base	NOUN
ejpam-2013	76	7	change	change	NOUN
ejpam-2013	76	8	e	e	NOUN
ejpam-2013	76	9	/	/	SYM
ejpam-2013	76	10	f.	f.	PROPN
ejpam-2013	76	11	i	i	PROPN
ejpam-2013	76	12	)	)	PUNCT
ejpam-2013	76	13	at	at	ADP
ejpam-2013	76	14	the	the	DET
ejpam-2013	76	15	level	level	NOUN
ejpam-2013	76	16	of	of	ADP
ejpam-2013	76	17	the	the	DET
ejpam-2013	76	18	k	k	NOUN
ejpam-2013	76	19	-	-	NOUN
ejpam-2013	76	20	theory	theory	NOUN
ejpam-2013	76	21	group	group	NOUN
ejpam-2013	76	22	k1	k1	PROPN
ejpam-2013	76	23	,	,	PUNCT
ejpam-2013	76	24	bc	bc	PROPN
ejpam-2013	76	25	induces	induce	VERB
ejpam-2013	76	26	the	the	DET
ejpam-2013	76	27	map	map	NOUN
ejpam-2013	76	28	z→	z→	PROPN
ejpam-2013	76	29	z	z	PROPN
ejpam-2013	76	30	,	,	PUNCT
ejpam-2013	76	31	α1	α1	PROPN
ejpam-2013	76	32	7→	7→	NUM
ejpam-2013	76	33	f	f	X
ejpam-2013	76	34	.α1	.α1	NOUN
ejpam-2013	76	35	,	,	PUNCT
ejpam-2013	76	36	where	where	SCONJ
ejpam-2013	76	37	f	f	PROPN
ejpam-2013	76	38	is	be	AUX
ejpam-2013	76	39	the	the	DET
ejpam-2013	76	40	residue	residue	NOUN
ejpam-2013	76	41	field	field	NOUN
ejpam-2013	76	42	degree	degree	NOUN
ejpam-2013	76	43	and	and	CCONJ
ejpam-2013	76	44	α1	α1	PROPN
ejpam-2013	76	45	denotes	denote	VERB
ejpam-2013	76	46	a	a	DET
ejpam-2013	76	47	generator	generator	NOUN
ejpam-2013	76	48	of	of	ADP
ejpam-2013	76	49	k1(t	k1(t	PROPN
ejpam-2013	76	50	)	)	PUNCT
ejpam-2013	76	51	=	=	PUNCT
ejpam-2013	76	52	z.	z.	PROPN
ejpam-2013	76	53	ii	ii	PROPN
ejpam-2013	76	54	)	)	PUNCT
ejpam-2013	76	55	at	at	ADP
ejpam-2013	76	56	the	the	DET
ejpam-2013	76	57	level	level	NOUN
ejpam-2013	76	58	of	of	ADP
ejpam-2013	76	59	k	k	NOUN
ejpam-2013	76	60	-	-	ADJ
ejpam-2013	76	61	theory	theory	NOUN
ejpam-2013	76	62	group	group	NOUN
ejpam-2013	76	63	k0	k0	PROPN
ejpam-2013	76	64	,	,	PUNCT
ejpam-2013	76	65	bc	bc	PROPN
ejpam-2013	76	66	induces	induce	VERB
ejpam-2013	76	67	the	the	DET
ejpam-2013	76	68	identity	identity	NOUN
ejpam-2013	76	69	map	map	NOUN
ejpam-2013	77	1	z→	z→	PROPN
ejpam-2013	77	2	z	z	PROPN
ejpam-2013	77	3	,	,	PUNCT
ejpam-2013	77	4	α0	α0	PROPN
ejpam-2013	77	5	7→	7→	NUM
ejpam-2013	77	6	α0	α0	ADJ
ejpam-2013	77	7	,	,	PUNCT
ejpam-2013	77	8	where	where	SCONJ
ejpam-2013	77	9	α0	α0	ADJ
ejpam-2013	77	10	denotes	denote	VERB
ejpam-2013	77	11	a	a	DET
ejpam-2013	77	12	generator	generator	NOUN
ejpam-2013	77	13	of	of	ADP
ejpam-2013	77	14	k0(t	k0(t	PROPN
ejpam-2013	77	15	)	)	PUNCT
ejpam-2013	77	16	=	=	SYM
ejpam-2013	78	1	z.	z.	PROPN
ejpam-2013	78	2	proof	proof	NOUN
ejpam-2013	78	3	.	.	PUNCT
ejpam-2013	79	1	we	we	PRON
ejpam-2013	79	2	know	know	VERB
ejpam-2013	79	3	that	that	SCONJ
ejpam-2013	79	4	the	the	DET
ejpam-2013	79	5	principal	principal	ADJ
ejpam-2013	79	6	series	series	NOUN
ejpam-2013	79	7	of	of	ADP
ejpam-2013	79	8	sl(2	sl(2	PROPN
ejpam-2013	79	9	,	,	PUNCT
ejpam-2013	79	10	f	f	X
ejpam-2013	79	11	)	)	PUNCT
ejpam-2013	79	12	can	can	AUX
ejpam-2013	79	13	be	be	AUX
ejpam-2013	79	14	defined	define	VERB
ejpam-2013	79	15	as	as	SCONJ
ejpam-2013	79	16	follows	follow	VERB
ejpam-2013	79	17	:	:	PUNCT
ejpam-2013	80	1	indsl(2,f	indsl(2,f	NOUN
ejpam-2013	80	2	)	)	PUNCT
ejpam-2013	80	3	b	b	PROPN
ejpam-2013	80	4	(	(	PUNCT
ejpam-2013	80	5	χ	χ	NOUN
ejpam-2013	80	6	)	)	PUNCT
ejpam-2013	80	7	where	where	SCONJ
ejpam-2013	80	8	χ	χ	DET
ejpam-2013	80	9	�	�	PROPN
ejpam-2013	80	10	x	x	SYM
ejpam-2013	80	11	y	y	PROPN
ejpam-2013	80	12	0	0	NUM
ejpam-2013	80	13	x−1	x−1	PROPN
ejpam-2013	80	14	�	�	PROPN
ejpam-2013	80	15	=	=	SYM
ejpam-2013	80	16	χ(x	χ(x	PROPN
ejpam-2013	80	17	)	)	PUNCT
ejpam-2013	80	18	.	.	PUNCT
ejpam-2013	81	1	now	now	ADV
ejpam-2013	81	2	we	we	PRON
ejpam-2013	81	3	have	have	VERB
ejpam-2013	81	4	wf	wf	PROPN
ejpam-2013	81	5	×	×	PROPN
ejpam-2013	81	6	sl(2,c	sl(2,c	NOUN
ejpam-2013	81	7	)	)	PUNCT
ejpam-2013	81	8	�	�	PROPN
ejpam-2013	81	9	�	�	PROPN
ejpam-2013	81	10	//	//	NUM
ejpam-2013	81	11	pgl2(c	pgl2(c	NOUN
ejpam-2013	81	12	)	)	PUNCT
ejpam-2013	81	13	‖	‖	PROPN
ejpam-2013	81	14	�	�	PROPN
ejpam-2013	81	15	�	�	PROPN
ejpam-2013	81	16	f×	f×	VERB
ejpam-2013	81	17	×	×	NOUN
ejpam-2013	81	18	sl(2,c	sl(2,c	NOUN
ejpam-2013	81	19	)	)	PUNCT
ejpam-2013	81	20	φ	φ	PROPN
ejpam-2013	81	21	//	//	X
ejpam-2013	81	22	pgl2(c	pgl2(c	PROPN
ejpam-2013	81	23	)	)	PUNCT
ejpam-2013	81	24	this	this	PRON
ejpam-2013	81	25	means	mean	VERB
ejpam-2013	81	26	the	the	DET
ejpam-2013	81	27	above	above	ADJ
ejpam-2013	81	28	map	map	NOUN
ejpam-2013	81	29	φ	φ	PROPN
ejpam-2013	81	30	works	work	VERB
ejpam-2013	81	31	as	as	SCONJ
ejpam-2013	81	32	follows	follow	VERB
ejpam-2013	81	33	:	:	PUNCT
ejpam-2013	81	34	(	(	PUNCT
ejpam-2013	81	35	x	x	X
ejpam-2013	81	36	,	,	PUNCT
ejpam-2013	81	37	τ	τ	PROPN
ejpam-2013	81	38	)	)	PUNCT
ejpam-2013	81	39	7−→	7−→	PROPN
ejpam-2013	81	40	�	�	PROPN
ejpam-2013	81	41	χ(x	χ(x	PROPN
ejpam-2013	81	42	)	)	PUNCT
ejpam-2013	81	43	0	0	NUM
ejpam-2013	81	44	0	0	NUM
ejpam-2013	81	45	1	1	NUM
ejpam-2013	81	46	�	�	PROPN
ejpam-2013	81	47	.	.	PUNCT
ejpam-2013	82	1	here	here	ADV
ejpam-2013	82	2	�	�	PROPN
ejpam-2013	82	3	χ(x	χ(x	PROPN
ejpam-2013	82	4	)	)	PUNCT
ejpam-2013	82	5	0	0	NUM
ejpam-2013	82	6	0	0	NUM
ejpam-2013	82	7	1	1	NUM
ejpam-2013	82	8	�	�	NOUN
ejpam-2013	82	9	is	be	AUX
ejpam-2013	82	10	the	the	DET
ejpam-2013	82	11	coset	coset	NOUN
ejpam-2013	82	12	of	of	ADP
ejpam-2013	82	13	�	�	PROPN
ejpam-2013	82	14	χ(x	χ(x	PROPN
ejpam-2013	82	15	)	)	PUNCT
ejpam-2013	82	16	0	0	NUM
ejpam-2013	82	17	0	0	NUM
ejpam-2013	82	18	1	1	NUM
ejpam-2013	82	19	�	�	PROPN
ejpam-2013	82	20	∈	∈	PROPN
ejpam-2013	82	21	pgl2(c	pgl2(c	NOUN
ejpam-2013	82	22	)	)	PUNCT
ejpam-2013	82	23	.	.	PUNCT
ejpam-2013	83	1	if	if	SCONJ
ejpam-2013	83	2	we	we	PRON
ejpam-2013	83	3	twist	twist	VERB
ejpam-2013	83	4	χ	χ	ADP
ejpam-2013	83	5	by	by	ADP
ejpam-2013	83	6	an	an	DET
ejpam-2013	83	7	unramified	unramifie	VERB
ejpam-2013	83	8	character	character	NOUN
ejpam-2013	83	9	we	we	PRON
ejpam-2013	83	10	get	get	VERB
ejpam-2013	83	11	a	a	DET
ejpam-2013	83	12	circle	circle	NOUN
ejpam-2013	83	13	t	t	NOUN
ejpam-2013	83	14	embedded	embed	VERB
ejpam-2013	83	15	in	in	ADP
ejpam-2013	83	16	pgl2(c	pgl2(c	NOUN
ejpam-2013	83	17	)	)	PUNCT
ejpam-2013	83	18	.	.	PUNCT
ejpam-2013	84	1	also	also	ADV
ejpam-2013	84	2	,	,	PUNCT
ejpam-2013	84	3	the	the	DET
ejpam-2013	84	4	weyl	weyl	PROPN
ejpam-2013	84	5	group	group	NOUN
ejpam-2013	84	6	z/2z	z/2z	PROPN
ejpam-2013	84	7	acts	act	VERB
ejpam-2013	84	8	on	on	ADP
ejpam-2013	84	9	character	character	NOUN
ejpam-2013	84	10	of	of	ADP
ejpam-2013	84	11	f×	f×	NOUN
ejpam-2013	84	12	,	,	PUNCT
ejpam-2013	84	13	character	character	NOUN
ejpam-2013	84	14	of	of	ADP
ejpam-2013	84	15	f×	f×	PROPN
ejpam-2013	84	16	=	=	PROPN
ejpam-2013	84	17	uf	uf	NOUN
ejpam-2013	84	18	×	×	NOUN
ejpam-2013	84	19	〈	〈	PROPN
ejpam-2013	84	20	$	$	SYM
ejpam-2013	84	21	f	f	NOUN
ejpam-2013	84	22	〉	〉	NOUN
ejpam-2013	84	23	splits	split	VERB
ejpam-2013	84	24	into	into	ADP
ejpam-2013	84	25	{	{	PUNCT
ejpam-2013	84	26	ramified	ramified	ADJ
ejpam-2013	84	27	character	character	NOUN
ejpam-2013	84	28	of	of	ADP
ejpam-2013	84	29	uf	uf	PROPN
ejpam-2013	84	30	say	say	VERB
ejpam-2013	84	31	χ	χ	PRON
ejpam-2013	84	32	1	1	X
ejpam-2013	84	33	}	}	PUNCT
ejpam-2013	84	34	and	and	CCONJ
ejpam-2013	84	35	{	{	PUNCT
ejpam-2013	84	36	an	an	DET
ejpam-2013	84	37	unramified	unramifie	VERB
ejpam-2013	84	38	character	character	NOUN
ejpam-2013	84	39	of	of	ADP
ejpam-2013	84	40	〈	〈	PROPN
ejpam-2013	84	41	$	$	SYM
ejpam-2013	84	42	f	f	NOUN
ejpam-2013	84	43	〉	〉	NOUN
ejpam-2013	84	44	say	say	VERB
ejpam-2013	84	45	χ	χ	X
ejpam-2013	84	46	0	0	NUM
ejpam-2013	84	47	(	(	PUNCT
ejpam-2013	84	48	$	$	SYM
ejpam-2013	84	49	)	)	PUNCT
ejpam-2013	84	50	=	=	PUNCT
ejpam-2013	84	51	z	z	PUNCT
ejpam-2013	84	52	∈	∈	PROPN
ejpam-2013	84	53	t	t	PROPN
ejpam-2013	84	54	}	}	PUNCT
ejpam-2013	84	55	.	.	PUNCT
ejpam-2013	85	1	the	the	DET
ejpam-2013	85	2	generator	generator	PROPN
ejpam-2013	85	3	w	w	PROPN
ejpam-2013	85	4	of	of	ADP
ejpam-2013	85	5	z/2z	z/2z	PROPN
ejpam-2013	85	6	sends	send	VERB
ejpam-2013	85	7	z	z	PROPN
ejpam-2013	85	8	to	to	ADP
ejpam-2013	85	9	z−1	z−1	PROPN
ejpam-2013	85	10	,	,	PUNCT
ejpam-2013	85	11	it	it	PRON
ejpam-2013	85	12	sends	send	VERB
ejpam-2013	85	13	χ1	χ1	NOUN
ejpam-2013	85	14	to	to	ADP
ejpam-2013	85	15	χ−1	χ−1	PROPN
ejpam-2013	85	16	1	1	NUM
ejpam-2013	85	17	.	.	PUNCT
ejpam-2013	86	1	suppose	suppose	VERB
ejpam-2013	86	2	that	that	SCONJ
ejpam-2013	86	3	χ1	χ1	NOUN
ejpam-2013	86	4	6=	6=	PROPN
ejpam-2013	86	5	χ−1	χ−1	PROPN
ejpam-2013	86	6	1	1	NUM
ejpam-2013	86	7	,	,	PUNCT
ejpam-2013	86	8	i.e.	i.e.	X
ejpam-2013	86	9	χ2	χ2	PROPN
ejpam-2013	86	10	1	1	NUM
ejpam-2013	86	11	6=	6=	NUM
ejpam-2013	86	12	1	1	NUM
ejpam-2013	86	13	.	.	PUNCT
ejpam-2013	86	14	for	for	ADP
ejpam-2013	86	15	such	such	ADJ
ejpam-2013	86	16	χ	χ	NOUN
ejpam-2013	86	17	,	,	PUNCT
ejpam-2013	86	18	the	the	DET
ejpam-2013	86	19	representation	representation	NOUN
ejpam-2013	86	20	indsl(2,f	indsl(2,f	NOUN
ejpam-2013	86	21	)	)	PUNCT
ejpam-2013	87	1	b	b	NOUN
ejpam-2013	88	1	χ	χ	NOUN
ejpam-2013	88	2	is	be	AUX
ejpam-2013	88	3	irreducible	irreducible	ADJ
ejpam-2013	88	4	.	.	PUNCT
ejpam-2013	89	1	define	define	VERB
ejpam-2013	89	2	the	the	DET
ejpam-2013	89	3	l	l	NOUN
ejpam-2013	89	4	-	-	NOUN
ejpam-2013	89	5	parameter	parameter	NOUN
ejpam-2013	89	6	φ	φ	PROPN
ejpam-2013	89	7	as	as	SCONJ
ejpam-2013	89	8	follows	follow	VERB
ejpam-2013	89	9	:	:	PUNCT
ejpam-2013	89	10	φ	φ	PROPN
ejpam-2013	89	11	=	=	PROPN
ejpam-2013	89	12	ρ⊗1	ρ⊗1	PROPN
ejpam-2013	89	13	where	where	SCONJ
ejpam-2013	89	14	ρ	ρ	NOUN
ejpam-2013	89	15	is	be	AUX
ejpam-2013	89	16	a	a	DET
ejpam-2013	89	17	unitary	unitary	ADJ
ejpam-2013	89	18	character	character	NOUN
ejpam-2013	89	19	of	of	ADP
ejpam-2013	89	20	wf	wf	PROPN
ejpam-2013	89	21	such	such	ADJ
ejpam-2013	89	22	that	that	SCONJ
ejpam-2013	89	23	ρ	ρ	NOUN
ejpam-2013	89	24	:	:	PUNCT
ejpam-2013	89	25	wf	wf	PROPN
ejpam-2013	89	26	//	//	PROPN
ejpam-2013	89	27	w	w	AUX
ejpam-2013	89	28	ab	ab	PROPN
ejpam-2013	89	29	f	f	PROPN
ejpam-2013	89	30	'	'	PUNCT
ejpam-2013	89	31	f×	f×	PROPN
ejpam-2013	89	32	χ	χ	PRON
ejpam-2013	89	33	//	//	X
ejpam-2013	89	34	t	t	PROPN
ejpam-2013	89	35	.	.	PUNCT
ejpam-2013	90	1	also	also	ADV
ejpam-2013	90	2	,	,	PUNCT
ejpam-2013	90	3	we	we	PRON
ejpam-2013	90	4	have	have	VERB
ejpam-2013	90	5	ρ	ρ	NUM
ejpam-2013	90	6	7−→	7−→	PROPN
ejpam-2013	90	7	indsl(2,f	indsl(2,f	NOUN
ejpam-2013	90	8	)	)	PUNCT
ejpam-2013	90	9	b	b	NOUN
ejpam-2013	91	1	χ	χ	PRON
ejpam-2013	91	2	the	the	DET
ejpam-2013	91	3	unitary	unitary	ADJ
ejpam-2013	91	4	characters	character	NOUN
ejpam-2013	91	5	(	(	PUNCT
ejpam-2013	91	6	ρ2	ρ2	VERB
ejpam-2013	91	7	6=	6=	NOUN
ejpam-2013	91	8	1	1	NUM
ejpam-2013	91	9	)	)	PUNCT
ejpam-2013	91	10	of	of	ADP
ejpam-2013	91	11	wf	wf	PROPN
ejpam-2013	91	12	factor	factor	NOUN
ejpam-2013	91	13	through	through	ADP
ejpam-2013	91	14	f×	f×	NOUN
ejpam-2013	92	1	and	and	CCONJ
ejpam-2013	92	2	we	we	PRON
ejpam-2013	92	3	have	have	VERB
ejpam-2013	92	4	óf×	óf×	PRON
ejpam-2013	92	5	=	=	VERB
ejpam-2013	92	6	ô〈$	ô〈$	VERB
ejpam-2013	92	7	〉	〉	NOUN
ejpam-2013	92	8	×óuf	×óuf	NUM
ejpam-2013	92	9	,	,	PUNCT
ejpam-2013	92	10	ρ	ρ	PROPN
ejpam-2013	92	11	is	be	AUX
ejpam-2013	92	12	a	a	DET
ejpam-2013	92	13	unitary	unitary	ADJ
ejpam-2013	92	14	character	character	NOUN
ejpam-2013	92	15	of	of	ADP
ejpam-2013	92	16	óuf	óuf	PROPN
ejpam-2013	92	17	.	.	PUNCT
ejpam-2013	93	1	the	the	DET
ejpam-2013	93	2	group	group	NOUN
ejpam-2013	93	3	óuf	óuf	PROPN
ejpam-2013	93	4	admits	admit	VERB
ejpam-2013	93	5	countably	countably	ADV
ejpam-2013	93	6	many	many	ADJ
ejpam-2013	93	7	such	such	ADJ
ejpam-2013	93	8	characters	character	NOUN
ejpam-2013	93	9	ρ	ρ	PROPN
ejpam-2013	93	10	.	.	PUNCT
ejpam-2013	94	1	therefore	therefore	ADV
ejpam-2013	94	2	,	,	PUNCT
ejpam-2013	94	3	the	the	DET
ejpam-2013	94	4	compact	compact	ADJ
ejpam-2013	94	5	orbit	orbit	NOUN
ejpam-2013	94	6	is	be	AUX
ejpam-2013	94	7	the	the	DET
ejpam-2013	94	8	circle	circle	NOUN
ejpam-2013	94	9	t	t	PROPN
ejpam-2013	94	10	:	:	PUNCT
ejpam-2013	94	11	ot(φ)∼=ot(bc(φ))∼=	ot(φ)∼=ot(bc(φ))∼=	NOUN
ejpam-2013	94	12	t.	t.	NOUN
ejpam-2013	94	13	after	after	ADP
ejpam-2013	94	14	restriction	restriction	NOUN
ejpam-2013	94	15	and	and	CCONJ
ejpam-2013	94	16	using	use	VERB
ejpam-2013	94	17	the	the	DET
ejpam-2013	94	18	local	local	ADJ
ejpam-2013	94	19	class	class	NOUN
ejpam-2013	94	20	functions	function	NOUN
ejpam-2013	94	21	theory	theory	NOUN
ejpam-2013	94	22	we	we	PRON
ejpam-2013	94	23	get	get	VERB
ejpam-2013	94	24	that	that	SCONJ
ejpam-2013	94	25	this	this	DET
ejpam-2013	94	26	map	map	NOUN
ejpam-2013	94	27	has	have	VERB
ejpam-2013	94	28	degree	degree	NOUN
ejpam-2013	94	29	f	f	PROPN
ejpam-2013	94	30	.	.	PUNCT
ejpam-2013	95	1	therefore	therefore	ADV
ejpam-2013	95	2	,	,	PUNCT
ejpam-2013	95	3	if	if	SCONJ
ejpam-2013	95	4	χ2	χ2	PROPN
ejpam-2013	95	5	6=	6=	ADP
ejpam-2013	95	6	1	1	NUM
ejpam-2013	95	7	this	this	DET
ejpam-2013	95	8	means	mean	VERB
ejpam-2013	95	9	by	by	ADP
ejpam-2013	95	10	lemma	lemma	PROPN
ejpam-2013	95	11	1	1	NUM
ejpam-2013	95	12	and	and	CCONJ
ejpam-2013	95	13	theorem	theorem	VERB
ejpam-2013	95	14	2	2	NUM
ejpam-2013	95	15	in	in	ADP
ejpam-2013	95	16	each	each	DET
ejpam-2013	95	17	circle	circle	NOUN
ejpam-2013	95	18	the	the	DET
ejpam-2013	95	19	base	base	NOUN
ejpam-2013	95	20	change	change	NOUN
ejpam-2013	95	21	formula	formula	NOUN
ejpam-2013	95	22	is	be	AUX
ejpam-2013	95	23	z	z	NOUN
ejpam-2013	95	24	7→	7→	NUM
ejpam-2013	95	25	z	z	NOUN
ejpam-2013	95	26	f	f	NOUN
ejpam-2013	95	27	.	.	PUNCT
ejpam-2013	96	1	w.	w.	PROPN
ejpam-2013	96	2	aeal	aeal	PROPN
ejpam-2013	96	3	/	/	SYM
ejpam-2013	96	4	eur	eur	PROPN
ejpam-2013	96	5	.	.	PUNCT
ejpam-2013	97	1	j.	j.	PROPN
ejpam-2013	97	2	pure	pure	PROPN
ejpam-2013	97	3	appl	appl	PROPN
ejpam-2013	97	4	.	.	PROPN
ejpam-2013	97	5	math	math	PROPN
ejpam-2013	97	6	,	,	PUNCT
ejpam-2013	97	7	7	7	NUM
ejpam-2013	97	8	(	(	PUNCT
ejpam-2013	97	9	2014	2014	NUM
ejpam-2013	97	10	)	)	PUNCT
ejpam-2013	97	11	,	,	PUNCT
ejpam-2013	97	12	45	45	NUM
ejpam-2013	97	13	-	-	SYM
ejpam-2013	97	14	54	54	NUM
ejpam-2013	97	15	49	49	NUM
ejpam-2013	97	16	3	3	NUM
ejpam-2013	97	17	.	.	PUNCT
ejpam-2013	98	1	representatives	representative	NOUN
ejpam-2013	98	2	in	in	ADP
ejpam-2013	98	3	the	the	DET
ejpam-2013	98	4	chamber	chamber	NOUN
ejpam-2013	98	5	homology	homology	NOUN
ejpam-2013	98	6	h0	h0	PROPN
ejpam-2013	98	7	in	in	ADP
ejpam-2013	98	8	this	this	DET
ejpam-2013	98	9	section	section	NOUN
ejpam-2013	98	10	we	we	PRON
ejpam-2013	98	11	will	will	AUX
ejpam-2013	98	12	investigate	investigate	VERB
ejpam-2013	98	13	the	the	DET
ejpam-2013	98	14	case	case	NOUN
ejpam-2013	98	15	h0	h0	PROPN
ejpam-2013	98	16	.	.	PUNCT
ejpam-2013	99	1	since	since	SCONJ
ejpam-2013	99	2	we	we	PRON
ejpam-2013	99	3	have	have	VERB
ejpam-2013	99	4	two	two	NUM
ejpam-2013	99	5	types	type	NOUN
ejpam-2013	99	6	of	of	ADP
ejpam-2013	99	7	representations	representation	NOUN
ejpam-2013	99	8	for	for	ADP
ejpam-2013	99	9	sl(2	sl(2	PROPN
ejpam-2013	99	10	,	,	PUNCT
ejpam-2013	99	11	f	f	PROPN
ejpam-2013	99	12	)	)	PUNCT
ejpam-2013	99	13	which	which	PRON
ejpam-2013	99	14	are	be	AUX
ejpam-2013	99	15	:	:	PUNCT
ejpam-2013	99	16	the	the	DET
ejpam-2013	99	17	discrete	discrete	ADJ
ejpam-2013	99	18	series	series	NOUN
ejpam-2013	99	19	and	and	CCONJ
ejpam-2013	99	20	the	the	DET
ejpam-2013	99	21	principal	principal	ADJ
ejpam-2013	99	22	series	series	NOUN
ejpam-2013	99	23	representations	representation	NOUN
ejpam-2013	99	24	,	,	PUNCT
ejpam-2013	99	25	so	so	SCONJ
ejpam-2013	99	26	we	we	PRON
ejpam-2013	99	27	need	need	VERB
ejpam-2013	99	28	to	to	PART
ejpam-2013	99	29	describe	describe	VERB
ejpam-2013	99	30	each	each	DET
ejpam-2013	99	31	case	case	NOUN
ejpam-2013	99	32	individually	individually	ADV
ejpam-2013	99	33	.	.	PUNCT
ejpam-2013	100	1	the	the	DET
ejpam-2013	100	2	unitary	unitary	ADJ
ejpam-2013	100	3	principal	principal	ADJ
ejpam-2013	100	4	series	series	NOUN
ejpam-2013	100	5	representation	representation	NOUN
ejpam-2013	100	6	are	be	AUX
ejpam-2013	100	7	as	as	ADV
ejpam-2013	100	8	same	same	ADJ
ejpam-2013	100	9	as	as	SCONJ
ejpam-2013	100	10	described	describe	VERB
ejpam-2013	100	11	in	in	ADP
ejpam-2013	100	12	h1	h1	PROPN
ejpam-2013	100	13	.	.	PUNCT
ejpam-2013	101	1	we	we	PRON
ejpam-2013	101	2	need	need	VERB
ejpam-2013	101	3	to	to	PART
ejpam-2013	101	4	deal	deal	VERB
ejpam-2013	101	5	with	with	ADP
ejpam-2013	101	6	reducible	reducible	ADJ
ejpam-2013	101	7	principal	principal	ADJ
ejpam-2013	101	8	series	series	NOUN
ejpam-2013	101	9	,	,	PUNCT
ejpam-2013	101	10	the	the	DET
ejpam-2013	101	11	special	special	ADJ
ejpam-2013	101	12	representation	representation	NOUN
ejpam-2013	101	13	and	and	CCONJ
ejpam-2013	101	14	the	the	DET
ejpam-2013	101	15	discrete	discrete	ADJ
ejpam-2013	101	16	series	series	NOUN
ejpam-2013	101	17	.	.	PUNCT
ejpam-2013	102	1	let	let	VERB
ejpam-2013	102	2	’s	’s	PRON
ejpam-2013	102	3	start	start	VERB
ejpam-2013	102	4	with	with	ADP
ejpam-2013	102	5	the	the	DET
ejpam-2013	102	6	special	special	ADJ
ejpam-2013	102	7	representation	representation	NOUN
ejpam-2013	102	8	.	.	PUNCT
ejpam-2013	103	1	this	this	PRON
ejpam-2013	103	2	means	mean	VERB
ejpam-2013	103	3	we	we	PRON
ejpam-2013	103	4	are	be	AUX
ejpam-2013	103	5	going	go	VERB
ejpam-2013	103	6	to	to	PART
ejpam-2013	103	7	deal	deal	VERB
ejpam-2013	103	8	with	with	ADP
ejpam-2013	103	9	the	the	DET
ejpam-2013	103	10	steinberg	steinberg	PROPN
ejpam-2013	103	11	representation	representation	NOUN
ejpam-2013	103	12	.	.	PUNCT
ejpam-2013	104	1	we	we	PRON
ejpam-2013	104	2	recall	recall	VERB
ejpam-2013	104	3	the	the	DET
ejpam-2013	104	4	maximal	maximal	ADJ
ejpam-2013	104	5	compact	compact	ADJ
ejpam-2013	104	6	subgroups	subgroup	NOUN
ejpam-2013	104	7	j0	j0	PROPN
ejpam-2013	104	8	and	and	CCONJ
ejpam-2013	104	9	j1	j1	PROPN
ejpam-2013	104	10	,	,	PUNCT
ejpam-2013	104	11	which	which	PRON
ejpam-2013	104	12	were	be	AUX
ejpam-2013	104	13	described	describe	VERB
ejpam-2013	104	14	in	in	ADP
ejpam-2013	104	15	the	the	DET
ejpam-2013	104	16	previous	previous	ADJ
ejpam-2013	104	17	section	section	NOUN
ejpam-2013	104	18	as	as	ADP
ejpam-2013	104	19	the	the	DET
ejpam-2013	104	20	stabilizer	stabilizer	NOUN
ejpam-2013	104	21	subgroups	subgroup	NOUN
ejpam-2013	104	22	of	of	ADP
ejpam-2013	104	23	the	the	DET
ejpam-2013	104	24	vertices	vertex	NOUN
ejpam-2013	104	25	of	of	ADP
ejpam-2013	104	26	the	the	DET
ejpam-2013	104	27	edge	edge	NOUN
ejpam-2013	104	28	of	of	ADP
ejpam-2013	104	29	the	the	DET
ejpam-2013	104	30	tree	tree	NOUN
ejpam-2013	104	31	βsl(2	βsl(2	NOUN
ejpam-2013	104	32	,	,	PUNCT
ejpam-2013	104	33	f	f	X
ejpam-2013	104	34	)	)	PUNCT
ejpam-2013	104	35	.	.	PUNCT
ejpam-2013	105	1	theorem	theorem	NOUN
ejpam-2013	105	2	3	3	X
ejpam-2013	105	3	.	.	PUNCT
ejpam-2013	106	1	let	let	VERB
ejpam-2013	106	2	j0	j0	PROPN
ejpam-2013	106	3	and	and	CCONJ
ejpam-2013	106	4	j1	j1	PROPN
ejpam-2013	106	5	be	be	VERB
ejpam-2013	106	6	the	the	DET
ejpam-2013	106	7	two	two	NUM
ejpam-2013	106	8	maximal	maximal	ADJ
ejpam-2013	106	9	compact	compact	ADJ
ejpam-2013	106	10	open	open	ADJ
ejpam-2013	106	11	subgroups	subgroup	NOUN
ejpam-2013	106	12	of	of	ADP
ejpam-2013	106	13	sl(2	sl(2	PROPN
ejpam-2013	106	14	)	)	PUNCT
ejpam-2013	106	15	and	and	CCONJ
ejpam-2013	106	16	let	let	VERB
ejpam-2013	106	17	i	i	PRON
ejpam-2013	106	18	the	the	DET
ejpam-2013	106	19	iwahori	iwahori	NOUN
ejpam-2013	106	20	subgroup	subgroup	NOUN
ejpam-2013	106	21	of	of	ADP
ejpam-2013	106	22	sl(2	sl(2	PROPN
ejpam-2013	106	23	)	)	PUNCT
ejpam-2013	106	24	.	.	PUNCT
ejpam-2013	107	1	there	there	PRON
ejpam-2013	107	2	are	be	VERB
ejpam-2013	107	3	only	only	ADV
ejpam-2013	107	4	three	three	NUM
ejpam-2013	107	5	generators	generator	NOUN
ejpam-2013	107	6	for	for	ADP
ejpam-2013	107	7	h0	h0	NOUN
ejpam-2013	107	8	which	which	PRON
ejpam-2013	107	9	are	be	AUX
ejpam-2013	107	10	1j0	1j0	NUM
ejpam-2013	107	11	,	,	PUNCT
ejpam-2013	107	12	1j1	1j1	NUM
ejpam-2013	107	13	,	,	PUNCT
ejpam-2013	107	14	and	and	CCONJ
ejpam-2013	107	15	the	the	DET
ejpam-2013	107	16	induced	induced	ADJ
ejpam-2013	107	17	representation	representation	NOUN
ejpam-2013	107	18	of	of	ADP
ejpam-2013	107	19	1i	1i	NOUN
ejpam-2013	107	20	to	to	ADP
ejpam-2013	107	21	j0	j0	PROPN
ejpam-2013	107	22	or	or	CCONJ
ejpam-2013	107	23	j1	j1	PROPN
ejpam-2013	107	24	.	.	PUNCT
ejpam-2013	108	1	proof	proof	NOUN
ejpam-2013	108	2	.	.	PUNCT
ejpam-2013	109	1	let	let	VERB
ejpam-2013	109	2	1j0	1j0	NUM
ejpam-2013	109	3	(	(	PUNCT
ejpam-2013	109	4	resp	resp	NOUN
ejpam-2013	109	5	.	.	PUNCT
ejpam-2013	110	1	1j1	1j1	NUM
ejpam-2013	110	2	)	)	PUNCT
ejpam-2013	110	3	be	be	AUX
ejpam-2013	110	4	a	a	DET
ejpam-2013	110	5	representation	representation	NOUN
ejpam-2013	110	6	in	in	ADP
ejpam-2013	110	7	r(j0	r(j0	NOUN
ejpam-2013	110	8	)	)	PUNCT
ejpam-2013	110	9	(	(	PUNCT
ejpam-2013	110	10	resp	resp	NOUN
ejpam-2013	110	11	.	.	PUNCT
ejpam-2013	110	12	r(j1	r(j1	PROPN
ejpam-2013	110	13	)	)	PUNCT
ejpam-2013	110	14	)	)	PUNCT
ejpam-2013	110	15	,	,	PUNCT
ejpam-2013	111	1	so	so	CCONJ
ejpam-2013	112	1	[	[	X
ejpam-2013	112	2	1j0	1j0	NUM
ejpam-2013	112	3	,	,	PUNCT
ejpam-2013	112	4	0	0	NUM
ejpam-2013	112	5	]	]	PUNCT
ejpam-2013	112	6	and	and	CCONJ
ejpam-2013	112	7	[	[	X
ejpam-2013	112	8	0,1j1	0,1j1	X
ejpam-2013	112	9	]	]	PUNCT
ejpam-2013	112	10	∈	∈	PROPN
ejpam-2013	112	11	h0	h0	PROPN
ejpam-2013	112	12	.	.	PUNCT
ejpam-2013	113	1	we	we	PRON
ejpam-2013	113	2	have	have	VERB
ejpam-2013	113	3	[	[	X
ejpam-2013	113	4	indj0	indj0	NOUN
ejpam-2013	113	5	i	i	PRON
ejpam-2013	113	6	1i	1i	NOUN
ejpam-2013	113	7	,	,	PUNCT
ejpam-2013	113	8	0	0	NUM
ejpam-2013	113	9	]	]	PUNCT
ejpam-2013	113	10	=	=	PUNCT
ejpam-2013	114	1	[	[	X
ejpam-2013	114	2	0	0	NUM
ejpam-2013	114	3	,	,	PUNCT
ejpam-2013	114	4	indj1	indj1	NOUN
ejpam-2013	115	1	i	i	PRON
ejpam-2013	115	2	1i]	1i]	NUM
ejpam-2013	115	3	⇐	⇐	PROPN
ejpam-2013	115	4	⇒∃v	⇒∃v	ADV
ejpam-2013	115	5	∈r(i	∈r(i	NOUN
ejpam-2013	115	6	)	)	PUNCT
ejpam-2013	115	7	such	such	ADJ
ejpam-2013	115	8	that	that	SCONJ
ejpam-2013	115	9	(	(	PUNCT
ejpam-2013	115	10	indj0	indj0	NOUN
ejpam-2013	115	11	i	i	PRON
ejpam-2013	115	12	1i	1i	NOUN
ejpam-2013	115	13	,	,	PUNCT
ejpam-2013	115	14	−indj1	−indj1	PROPN
ejpam-2013	115	15	i	i	PROPN
ejpam-2013	115	16	1i	1i	NOUN
ejpam-2013	115	17	)	)	PUNCT
ejpam-2013	115	18	=	=	SYM
ejpam-2013	116	1	∂	∂	NUM
ejpam-2013	116	2	(	(	PUNCT
ejpam-2013	116	3	v	v	NOUN
ejpam-2013	116	4	)	)	PUNCT
ejpam-2013	116	5	.	.	PUNCT
ejpam-2013	117	1	this	this	PRON
ejpam-2013	117	2	means	mean	VERB
ejpam-2013	117	3	we	we	PRON
ejpam-2013	117	4	have	have	VERB
ejpam-2013	117	5	only	only	ADV
ejpam-2013	117	6	one	one	NUM
ejpam-2013	117	7	possibility	possibility	NOUN
ejpam-2013	117	8	which	which	PRON
ejpam-2013	117	9	is	be	AUX
ejpam-2013	117	10	v	v	NOUN
ejpam-2013	117	11	=	=	NOUN
ejpam-2013	117	12	1i	1i	NOUN
ejpam-2013	117	13	.	.	PUNCT
ejpam-2013	118	1	therefor	therefor	ADP
ejpam-2013	118	2	three	three	NUM
ejpam-2013	118	3	possibilities	possibility	NOUN
ejpam-2013	118	4	for	for	ADP
ejpam-2013	118	5	h0generators	h0generator	NOUN
ejpam-2013	118	6	are	be	AUX
ejpam-2013	118	7	1j0	1j0	NUM
ejpam-2013	118	8	,	,	PUNCT
ejpam-2013	118	9	1j1	1j1	NUM
ejpam-2013	118	10	,	,	PUNCT
ejpam-2013	118	11	and	and	CCONJ
ejpam-2013	118	12	indj0	indj0	NOUN
ejpam-2013	119	1	i	i	PRON
ejpam-2013	119	2	1i	1i	NOUN
ejpam-2013	119	3	(	(	PUNCT
ejpam-2013	119	4	resp	resp	NOUN
ejpam-2013	119	5	.	.	PUNCT
ejpam-2013	120	1	indj1	indj1	NOUN
ejpam-2013	121	1	i	i	PRON
ejpam-2013	121	2	1i	1i	NOUN
ejpam-2013	121	3	)	)	PUNCT
ejpam-2013	121	4	.	.	PUNCT
ejpam-2013	122	1	the	the	DET
ejpam-2013	122	2	question	question	NOUN
ejpam-2013	122	3	here	here	ADV
ejpam-2013	122	4	is	be	AUX
ejpam-2013	122	5	which	which	DET
ejpam-2013	122	6	combination	combination	NOUN
ejpam-2013	122	7	of	of	ADP
ejpam-2013	122	8	these	these	DET
ejpam-2013	122	9	three	three	NUM
ejpam-2013	122	10	generators	generator	NOUN
ejpam-2013	122	11	correspond	correspond	VERB
ejpam-2013	122	12	to	to	ADP
ejpam-2013	122	13	the	the	DET
ejpam-2013	122	14	steinberg	steinberg	PROPN
ejpam-2013	122	15	representation	representation	PROPN
ejpam-2013	122	16	stg	stg	PROPN
ejpam-2013	122	17	of	of	ADP
ejpam-2013	122	18	sl(2	sl(2	PROPN
ejpam-2013	122	19	)	)	PUNCT
ejpam-2013	122	20	?	?	PUNCT
ejpam-2013	123	1	theorem	theorem	VERB
ejpam-2013	123	2	4	4	NUM
ejpam-2013	123	3	.	.	PUNCT
ejpam-2013	124	1	the	the	DET
ejpam-2013	124	2	0	0	NUM
ejpam-2013	124	3	-	-	PUNCT
ejpam-2013	124	4	cycle	cycle	NOUN
ejpam-2013	124	5	corresponding	corresponding	NOUN
ejpam-2013	124	6	to	to	ADP
ejpam-2013	124	7	stg	stg	PROPN
ejpam-2013	124	8	of	of	ADP
ejpam-2013	124	9	sl(2	sl(2	PROPN
ejpam-2013	124	10	)	)	PUNCT
ejpam-2013	124	11	in	in	ADP
ejpam-2013	124	12	k0	k0	PROPN
ejpam-2013	124	13	is	be	AUX
ejpam-2013	124	14	(	(	PUNCT
ejpam-2013	124	15	indj0	indj0	NOUN
ejpam-2013	124	16	i	i	PRON
ejpam-2013	124	17	1i	1i	VERB
ejpam-2013	124	18	−1j0	−1j0	NUM
ejpam-2013	124	19	,	,	PUNCT
ejpam-2013	124	20	0	0	NUM
ejpam-2013	124	21	)	)	PUNCT
ejpam-2013	124	22	.	.	PUNCT
ejpam-2013	125	1	proof	proof	NOUN
ejpam-2013	125	2	.	.	PUNCT
ejpam-2013	126	1	let	let	VERB
ejpam-2013	126	2	g	g	PROPN
ejpam-2013	126	3	=	=	PROPN
ejpam-2013	126	4	sl(2	sl(2	PROPN
ejpam-2013	126	5	,	,	PUNCT
ejpam-2013	126	6	f	f	X
ejpam-2013	126	7	)	)	PUNCT
ejpam-2013	126	8	and	and	CCONJ
ejpam-2013	126	9	j0	j0	PROPN
ejpam-2013	126	10	=	=	PROPN
ejpam-2013	126	11	sl(2,o	sl(2,o	PROPN
ejpam-2013	126	12	)	)	PUNCT
ejpam-2013	126	13	.	.	PUNCT
ejpam-2013	127	1	according	accord	VERB
ejpam-2013	127	2	to	to	ADP
ejpam-2013	127	3	the	the	DET
ejpam-2013	127	4	anh	anh	NOUN
ejpam-2013	127	5	reciprocity	reciprocity	NOUN
ejpam-2013	127	6	theorem	theorem	VERB
ejpam-2013	127	7	in	in	ADP
ejpam-2013	127	8	[	[	X
ejpam-2013	127	9	5	5	NUM
ejpam-2013	127	10	,	,	PUNCT
ejpam-2013	127	11	p.	p.	NOUN
ejpam-2013	127	12	57	57	NUM
ejpam-2013	127	13	]	]	PUNCT
ejpam-2013	127	14	,	,	PUNCT
ejpam-2013	127	15	if	if	SCONJ
ejpam-2013	127	16	dµ	dµ	PRON
ejpam-2013	127	17	is	be	AUX
ejpam-2013	127	18	a	a	DET
ejpam-2013	127	19	haar	haar	NOUN
ejpam-2013	127	20	measure	measure	NOUN
ejpam-2013	127	21	then	then	ADV
ejpam-2013	127	22	we	we	PRON
ejpam-2013	127	23	have	have	VERB
ejpam-2013	127	24	the	the	DET
ejpam-2013	127	25	following	following	NOUN
ejpam-2013	127	26	:	:	PUNCT
ejpam-2013	127	27	i	i	NOUN
ejpam-2013	127	28	)	)	PUNCT
ejpam-2013	127	29	indg	indg	NOUN
ejpam-2013	128	1	i	i	PRON
ejpam-2013	128	2	1i	1i	NUM
ejpam-2013	128	3	=	=	SYM
ejpam-2013	128	4	∫	∫	PROPN
ejpam-2013	128	5	x	x	SYM
ejpam-2013	128	6	πdµ(π	πdµ(π	PROPN
ejpam-2013	128	7	)	)	PUNCT
ejpam-2013	128	8	,	,	PUNCT
ejpam-2013	128	9	x	x	X
ejpam-2013	128	10	=	=	PRON
ejpam-2013	128	11	{	{	PUNCT
ejpam-2013	128	12	π	π	PROPN
ejpam-2013	128	13	∈	∈	PROPN
ejpam-2013	128	14	bgr	bgr	PROPN
ejpam-2013	128	15	:	:	PUNCT
ejpam-2013	128	16	π|i	π|i	VERB
ejpam-2013	128	17	⊃	⊃	PROPN
ejpam-2013	128	18	1i	1i	X
ejpam-2013	128	19	}	}	PUNCT
ejpam-2013	128	20	.	.	PUNCT
ejpam-2013	129	1	ii	ii	X
ejpam-2013	129	2	)	)	PUNCT
ejpam-2013	129	3	indg	indg	NOUN
ejpam-2013	129	4	j0	j0	PROPN
ejpam-2013	129	5	1j0	1j0	NUM
ejpam-2013	129	6	=	=	SYM
ejpam-2013	129	7	∫	∫	PROPN
ejpam-2013	129	8	y	y	PROPN
ejpam-2013	129	9	πdµ(π	πdµ(π	PROPN
ejpam-2013	129	10	)	)	PUNCT
ejpam-2013	129	11	,	,	PUNCT
ejpam-2013	129	12	y	y	PROPN
ejpam-2013	129	13	=	=	PUNCT
ejpam-2013	129	14	{	{	PUNCT
ejpam-2013	129	15	π	π	PROPN
ejpam-2013	129	16	∈	∈	PROPN
ejpam-2013	129	17	bgr	bgr	PROPN
ejpam-2013	129	18	:	:	PUNCT
ejpam-2013	130	1	π|j0	π|j0	PROPN
ejpam-2013	130	2	⊃	⊃	NOUN
ejpam-2013	130	3	1j0	1j0	NUM
ejpam-2013	130	4	}	}	PUNCT
ejpam-2013	130	5	.	.	PUNCT
ejpam-2013	131	1	now	now	ADV
ejpam-2013	131	2	,	,	PUNCT
ejpam-2013	131	3	indg	indg	NOUN
ejpam-2013	131	4	i	i	PRON
ejpam-2013	131	5	1i	1i	NOUN
ejpam-2013	131	6	=	=	NUM
ejpam-2013	131	7	indg	indg	NOUN
ejpam-2013	131	8	j0	j0	PROPN
ejpam-2013	131	9	1j0	1j0	NUM
ejpam-2013	131	10	⊕	⊕	PROPN
ejpam-2013	131	11	stg	stg	PROPN
ejpam-2013	131	12	⇐	⇐	PROPN
ejpam-2013	131	13	⇒indg	⇒indg	PROPN
ejpam-2013	131	14	j0	j0	PROPN
ejpam-2013	131	15	(	(	PUNCT
ejpam-2013	131	16	indj0	indj0	NOUN
ejpam-2013	131	17	i	i	PRON
ejpam-2013	131	18	1i)−	1i)−	NUM
ejpam-2013	131	19	indg	indg	NOUN
ejpam-2013	131	20	j0	j0	PROPN
ejpam-2013	131	21	1j0	1j0	NUM
ejpam-2013	131	22	=	=	SYM
ejpam-2013	131	23	stg	stg	NUM
ejpam-2013	131	24	⇐	⇐	PROPN
ejpam-2013	131	25	⇒indg	⇒indg	PROPN
ejpam-2013	131	26	j0	j0	PROPN
ejpam-2013	131	27	(	(	PUNCT
ejpam-2013	131	28	indj0	indj0	NOUN
ejpam-2013	131	29	i	i	PRON
ejpam-2013	131	30	1i	1i	VERB
ejpam-2013	131	31	−1j0	−1j0	PRON
ejpam-2013	131	32	)	)	PUNCT
ejpam-2013	132	1	=	=	SYM
ejpam-2013	132	2	stg	stg	PROPN
ejpam-2013	132	3	.	.	PUNCT
ejpam-2013	133	1	therefore	therefore	ADV
ejpam-2013	133	2	the	the	DET
ejpam-2013	133	3	0	0	NUM
ejpam-2013	133	4	-	-	PUNCT
ejpam-2013	133	5	cycle	cycle	NOUN
ejpam-2013	133	6	corresponding	corresponding	NOUN
ejpam-2013	133	7	to	to	ADP
ejpam-2013	133	8	stg	stg	PROPN
ejpam-2013	133	9	is	be	AUX
ejpam-2013	133	10	(	(	PUNCT
ejpam-2013	133	11	indj0	indj0	NOUN
ejpam-2013	133	12	i	i	PRON
ejpam-2013	133	13	1i	1i	VERB
ejpam-2013	133	14	−	−	PROPN
ejpam-2013	133	15	1j0	1j0	NUM
ejpam-2013	133	16	,	,	PUNCT
ejpam-2013	133	17	0	0	NUM
ejpam-2013	133	18	)	)	PUNCT
ejpam-2013	133	19	.	.	PUNCT
ejpam-2013	134	1	we	we	PRON
ejpam-2013	134	2	also	also	ADV
ejpam-2013	134	3	see	see	VERB
ejpam-2013	134	4	that	that	SCONJ
ejpam-2013	134	5	the	the	DET
ejpam-2013	134	6	baum	baum	NOUN
ejpam-2013	134	7	-	-	PUNCT
ejpam-2013	134	8	connes	conne	NOUN
ejpam-2013	134	9	conjecture	conjecture	NOUN
ejpam-2013	134	10	(	(	PUNCT
ejpam-2013	134	11	map	map	NOUN
ejpam-2013	134	12	)	)	PUNCT
ejpam-2013	134	13	in	in	ADP
ejpam-2013	134	14	this	this	DET
ejpam-2013	134	15	case	case	NOUN
ejpam-2013	134	16	is	be	AUX
ejpam-2013	134	17	indg	indg	NOUN
ejpam-2013	134	18	j0	j0	PROPN
ejpam-2013	134	19	.	.	PUNCT
ejpam-2013	135	1	the	the	DET
ejpam-2013	135	2	proof	proof	NOUN
ejpam-2013	135	3	of	of	ADP
ejpam-2013	135	4	the	the	DET
ejpam-2013	135	5	above	above	ADJ
ejpam-2013	135	6	theorem	theorem	NOUN
ejpam-2013	135	7	shows	show	VERB
ejpam-2013	135	8	that	that	SCONJ
ejpam-2013	135	9	the	the	DET
ejpam-2013	135	10	map	map	NOUN
ejpam-2013	135	11	indg	indg	PROPN
ejpam-2013	135	12	j0	j0	PROPN
ejpam-2013	135	13	takes	take	VERB
ejpam-2013	135	14	[	[	PUNCT
ejpam-2013	135	15	indj0	indj0	NOUN
ejpam-2013	135	16	i	i	PRON
ejpam-2013	135	17	1i	1i	VERB
ejpam-2013	135	18	−1j0	−1j0	PRON
ejpam-2013	135	19	,	,	PUNCT
ejpam-2013	135	20	0]f	0]f	SYM
ejpam-2013	135	21	7→	7→	NUM
ejpam-2013	136	1	[	[	X
ejpam-2013	136	2	stg]f	stg]f	PROPN
ejpam-2013	136	3	,	,	PUNCT
ejpam-2013	136	4	i.e.	i.e.	X
ejpam-2013	136	5	it	it	PRON
ejpam-2013	136	6	takes	take	VERB
ejpam-2013	136	7	the	the	DET
ejpam-2013	136	8	generator	generator	NOUN
ejpam-2013	136	9	of	of	ADP
ejpam-2013	136	10	h	h	PROPN
ejpam-2013	136	11	f	f	PROPN
ejpam-2013	136	12	0	0	NUM
ejpam-2013	136	13	to	to	ADP
ejpam-2013	136	14	the	the	DET
ejpam-2013	136	15	generator	generator	NOUN
ejpam-2013	136	16	of	of	ADP
ejpam-2013	136	17	k	k	PROPN
ejpam-2013	136	18	f	f	PROPN
ejpam-2013	136	19	0	0	PROPN
ejpam-2013	136	20	labeled	label	VERB
ejpam-2013	136	21	by	by	ADP
ejpam-2013	136	22	stg	stg	PROPN
ejpam-2013	136	23	.	.	PUNCT
ejpam-2013	137	1	this	this	PRON
ejpam-2013	137	2	means	mean	VERB
ejpam-2013	137	3	we	we	PRON
ejpam-2013	137	4	have	have	VERB
ejpam-2013	137	5	three	three	NUM
ejpam-2013	137	6	independent	independent	ADJ
ejpam-2013	137	7	elements	element	NOUN
ejpam-2013	137	8	.	.	PUNCT
ejpam-2013	138	1	in	in	ADP
ejpam-2013	138	2	the	the	DET
ejpam-2013	138	3	same	same	ADJ
ejpam-2013	138	4	way	way	NOUN
ejpam-2013	138	5	this	this	DET
ejpam-2013	138	6	map	map	NOUN
ejpam-2013	138	7	works	work	VERB
ejpam-2013	138	8	on	on	ADP
ejpam-2013	138	9	the	the	DET
ejpam-2013	138	10	e	e	NOUN
ejpam-2013	138	11	-	-	NOUN
ejpam-2013	138	12	sides	side	NOUN
ejpam-2013	138	13	by	by	ADP
ejpam-2013	138	14	taking	take	VERB
ejpam-2013	138	15	the	the	DET
ejpam-2013	138	16	[	[	X
ejpam-2013	138	17	indj0	indj0	NOUN
ejpam-2013	138	18	i	i	PRON
ejpam-2013	138	19	1i	1i	VERB
ejpam-2013	138	20	−1j0	−1j0	PRON
ejpam-2013	138	21	,	,	PUNCT
ejpam-2013	138	22	0]e	0]e	PROPN
ejpam-2013	139	1	7→	7→	NUM
ejpam-2013	140	1	[	[	X
ejpam-2013	140	2	stg]e	stg]e	PROPN
ejpam-2013	140	3	.	.	PUNCT
ejpam-2013	141	1	from	from	ADP
ejpam-2013	141	2	now	now	ADV
ejpam-2013	141	3	on	on	ADV
ejpam-2013	141	4	we	we	PRON
ejpam-2013	141	5	will	will	AUX
ejpam-2013	141	6	replace	replace	VERB
ejpam-2013	141	7	the	the	DET
ejpam-2013	141	8	notation	notation	NOUN
ejpam-2013	141	9	of	of	ADP
ejpam-2013	141	10	stg	stg	PROPN
ejpam-2013	141	11	by	by	ADP
ejpam-2013	141	12	st	st	PROPN
ejpam-2013	141	13	f	f	PROPN
ejpam-2013	141	14	2	2	PROPN
ejpam-2013	141	15	and	and	CCONJ
ejpam-2013	141	16	ste	ste	X
ejpam-2013	141	17	2	2	NUM
ejpam-2013	141	18	to	to	PART
ejpam-2013	141	19	refer	refer	VERB
ejpam-2013	141	20	for	for	ADP
ejpam-2013	141	21	the	the	DET
ejpam-2013	141	22	steinberg	steinberg	PROPN
ejpam-2013	141	23	representation	representation	NOUN
ejpam-2013	141	24	of	of	ADP
ejpam-2013	141	25	sl(2	sl(2	PROPN
ejpam-2013	141	26	,	,	PUNCT
ejpam-2013	141	27	f	f	X
ejpam-2013	141	28	)	)	PUNCT
ejpam-2013	141	29	and	and	CCONJ
ejpam-2013	141	30	sl(2	sl(2	PROPN
ejpam-2013	141	31	,	,	PUNCT
ejpam-2013	141	32	e	e	NOUN
ejpam-2013	141	33	)	)	PUNCT
ejpam-2013	141	34	respectively	respectively	ADV
ejpam-2013	141	35	.	.	PUNCT
ejpam-2013	142	1	w.	w.	PROPN
ejpam-2013	142	2	aeal	aeal	PROPN
ejpam-2013	142	3	/	/	SYM
ejpam-2013	142	4	eur	eur	PROPN
ejpam-2013	142	5	.	.	PUNCT
ejpam-2013	143	1	j.	j.	PROPN
ejpam-2013	143	2	pure	pure	PROPN
ejpam-2013	143	3	appl	appl	PROPN
ejpam-2013	143	4	.	.	PROPN
ejpam-2013	143	5	math	math	PROPN
ejpam-2013	143	6	,	,	PUNCT
ejpam-2013	143	7	7	7	NUM
ejpam-2013	143	8	(	(	PUNCT
ejpam-2013	143	9	2014	2014	NUM
ejpam-2013	143	10	)	)	PUNCT
ejpam-2013	143	11	,	,	PUNCT
ejpam-2013	143	12	45	45	NUM
ejpam-2013	143	13	-	-	SYM
ejpam-2013	143	14	54	54	NUM
ejpam-2013	143	15	50	50	NUM
ejpam-2013	143	16	theorem	theorem	NOUN
ejpam-2013	143	17	5	5	NUM
ejpam-2013	143	18	.	.	PUNCT
ejpam-2013	144	1	the	the	DET
ejpam-2013	144	2	base	base	NOUN
ejpam-2013	144	3	change	change	NOUN
ejpam-2013	144	4	on	on	ADP
ejpam-2013	144	5	k0	k0	PROPN
ejpam-2013	144	6	-	-	PUNCT
ejpam-2013	144	7	theory	theory	NOUN
ejpam-2013	144	8	level	level	NOUN
ejpam-2013	144	9	takes	take	VERB
ejpam-2013	144	10	the	the	DET
ejpam-2013	144	11	k0	k0	PROPN
ejpam-2013	144	12	-	-	PUNCT
ejpam-2013	144	13	generator	generator	NOUN
ejpam-2013	144	14	of	of	ADP
ejpam-2013	144	15	the	the	DET
ejpam-2013	144	16	reduce	reduce	NOUN
ejpam-2013	144	17	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	144	18	of	of	ADP
ejpam-2013	144	19	sl(2	sl(2	PROPN
ejpam-2013	144	20	,	,	PUNCT
ejpam-2013	144	21	e	e	NOUN
ejpam-2013	144	22	)	)	PUNCT
ejpam-2013	144	23	labeled	label	VERB
ejpam-2013	144	24	by	by	ADP
ejpam-2013	144	25	ste	ste	PROPN
ejpam-2013	144	26	2	2	NUM
ejpam-2013	144	27	to	to	ADP
ejpam-2013	144	28	the	the	DET
ejpam-2013	144	29	k0	k0	PROPN
ejpam-2013	144	30	-	-	PUNCT
ejpam-2013	144	31	generator	generator	NOUN
ejpam-2013	144	32	of	of	ADP
ejpam-2013	144	33	the	the	DET
ejpam-2013	144	34	reduce	reduce	NOUN
ejpam-2013	144	35	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	144	36	of	of	ADP
ejpam-2013	144	37	sl(2	sl(2	PROPN
ejpam-2013	144	38	,	,	PUNCT
ejpam-2013	144	39	f	f	X
ejpam-2013	144	40	)	)	PUNCT
ejpam-2013	144	41	labeled	label	VERB
ejpam-2013	144	42	by	by	ADP
ejpam-2013	144	43	st	st	PROPN
ejpam-2013	144	44	f	f	PROPN
ejpam-2013	144	45	2	2	NUM
ejpam-2013	144	46	and	and	CCONJ
ejpam-2013	145	1	the	the	DET
ejpam-2013	145	2	k	k	NOUN
ejpam-2013	145	3	-	-	NOUN
ejpam-2013	145	4	theory	theory	NOUN
ejpam-2013	145	5	group	group	NOUN
ejpam-2013	145	6	k0	k0	PROPN
ejpam-2013	145	7	c∗r	c∗r	PUNCT
ejpam-2013	145	8	sl(2	sl(2	PROPN
ejpam-2013	145	9	,	,	PUNCT
ejpam-2013	145	10	f	f	X
ejpam-2013	145	11	)	)	PUNCT
ejpam-2013	145	12	=	=	SYM
ejpam-2013	145	13	z3	z3	NOUN
ejpam-2013	145	14	.	.	PUNCT
ejpam-2013	146	1	proof	proof	NOUN
ejpam-2013	146	2	.	.	PUNCT
ejpam-2013	147	1	from	from	ADP
ejpam-2013	147	2	theorems	theorem	NOUN
ejpam-2013	147	3	3	3	NUM
ejpam-2013	147	4	and	and	CCONJ
ejpam-2013	147	5	4	4	NUM
ejpam-2013	147	6	we	we	PRON
ejpam-2013	147	7	have	have	VERB
ejpam-2013	147	8	only	only	ADV
ejpam-2013	147	9	three	three	NUM
ejpam-2013	147	10	generators	generator	NOUN
ejpam-2013	147	11	and	and	CCONJ
ejpam-2013	147	12	this	this	PRON
ejpam-2013	147	13	implies	imply	VERB
ejpam-2013	147	14	that	that	SCONJ
ejpam-2013	147	15	k0	k0	PROPN
ejpam-2013	147	16	c∗r	c∗r	ADJ
ejpam-2013	147	17	sl(2	sl(2	PROPN
ejpam-2013	147	18	,	,	PUNCT
ejpam-2013	147	19	f	f	X
ejpam-2013	147	20	)	)	PUNCT
ejpam-2013	147	21	=	=	SYM
ejpam-2013	147	22	z3	z3	PROPN
ejpam-2013	147	23	.	.	PUNCT
ejpam-2013	147	24	h0(sl(2	h0(sl(2	PROPN
ejpam-2013	147	25	,	,	PUNCT
ejpam-2013	147	26	e	e	NOUN
ejpam-2013	147	27	)	)	PUNCT
ejpam-2013	147	28	)	)	PUNCT
ejpam-2013	148	1	bc	bc	PROPN
ejpam-2013	148	2	�	�	PROPN
ejpam-2013	148	3	�	�	PROPN
ejpam-2013	148	4	µe	µe	ADP
ejpam-2013	148	5	0	0	NUM
ejpam-2013	148	6	//	//	SYM
ejpam-2013	148	7	k0c∗r	k0c∗r	PROPN
ejpam-2013	149	1	sl(2	sl(2	PROPN
ejpam-2013	149	2	,	,	PUNCT
ejpam-2013	149	3	e	e	NOUN
ejpam-2013	149	4	)	)	PUNCT
ejpam-2013	149	5	k0(bc	k0(bc	PROPN
ejpam-2013	149	6	)	)	PUNCT
ejpam-2013	149	7	�	�	PROPN
ejpam-2013	149	8	�	�	PROPN
ejpam-2013	149	9	h0(sl(2	h0(sl(2	PROPN
ejpam-2013	149	10	,	,	PUNCT
ejpam-2013	149	11	f	f	NOUN
ejpam-2013	149	12	)	)	PUNCT
ejpam-2013	149	13	)	)	PUNCT
ejpam-2013	149	14	µf	µf	ADP
ejpam-2013	149	15	0	0	NUM
ejpam-2013	149	16	//	//	SYM
ejpam-2013	149	17	k0c∗r	k0c∗r	PROPN
ejpam-2013	150	1	sl(2	sl(2	PROPN
ejpam-2013	150	2	,	,	PUNCT
ejpam-2013	150	3	f	f	X
ejpam-2013	150	4	)	)	PUNCT
ejpam-2013	150	5	figure	figure	NOUN
ejpam-2013	150	6	1	1	NUM
ejpam-2013	150	7	:	:	PUNCT
ejpam-2013	150	8	the	the	DET
ejpam-2013	150	9	base	base	NOUN
ejpam-2013	150	10	change	change	NOUN
ejpam-2013	150	11	for	for	ADP
ejpam-2013	150	12	sl(2	sl(2	PROPN
ejpam-2013	150	13	)	)	PUNCT
ejpam-2013	150	14	on	on	ADP
ejpam-2013	150	15	the	the	DET
ejpam-2013	150	16	chamber	chamber	NOUN
ejpam-2013	150	17	homology	homology	NOUN
ejpam-2013	150	18	level	level	NOUN
ejpam-2013	150	19	,	,	PUNCT
ejpam-2013	150	20	the	the	DET
ejpam-2013	150	21	base	base	NOUN
ejpam-2013	150	22	change	change	NOUN
ejpam-2013	150	23	map	map	NOUN
ejpam-2013	150	24	works	work	VERB
ejpam-2013	150	25	by	by	ADP
ejpam-2013	150	26	taking	take	VERB
ejpam-2013	150	27	the	the	DET
ejpam-2013	150	28	generator	generator	NOUN
ejpam-2013	150	29	of	of	ADP
ejpam-2013	150	30	the	the	DET
ejpam-2013	150	31	group	group	NOUN
ejpam-2013	150	32	h0	h0	PROPN
ejpam-2013	150	33	of	of	ADP
ejpam-2013	150	34	sl(2	sl(2	PROPN
ejpam-2013	150	35	,	,	PUNCT
ejpam-2013	150	36	e	e	NOUN
ejpam-2013	150	37	)	)	PUNCT
ejpam-2013	150	38	to	to	ADP
ejpam-2013	150	39	the	the	DET
ejpam-2013	150	40	generator	generator	NOUN
ejpam-2013	150	41	of	of	ADP
ejpam-2013	150	42	h0	h0	PROPN
ejpam-2013	150	43	of	of	ADP
ejpam-2013	150	44	sl(2	sl(2	PROPN
ejpam-2013	150	45	,	,	PUNCT
ejpam-2013	150	46	f	f	PROPN
ejpam-2013	150	47	)	)	PUNCT
ejpam-2013	150	48	;	;	PUNCT
ejpam-2013	150	49	see	see	VERB
ejpam-2013	150	50	figure	figure	NOUN
ejpam-2013	150	51	1	1	NUM
ejpam-2013	150	52	.	.	PUNCT
ejpam-2013	151	1	on	on	ADP
ejpam-2013	151	2	the	the	DET
ejpam-2013	151	3	other	other	ADJ
ejpam-2013	151	4	hand	hand	NOUN
ejpam-2013	151	5	,	,	PUNCT
ejpam-2013	151	6	if	if	SCONJ
ejpam-2013	151	7	we	we	PRON
ejpam-2013	151	8	deal	deal	VERB
ejpam-2013	151	9	with	with	ADP
ejpam-2013	151	10	the	the	DET
ejpam-2013	151	11	reducible	reducible	ADJ
ejpam-2013	151	12	principal	principal	ADJ
ejpam-2013	151	13	series	series	NOUN
ejpam-2013	151	14	(	(	PUNCT
ejpam-2013	151	15	the	the	DET
ejpam-2013	151	16	intervals	interval	NOUN
ejpam-2013	151	17	)	)	PUNCT
ejpam-2013	151	18	,	,	PUNCT
ejpam-2013	151	19	this	this	PRON
ejpam-2013	151	20	means	mean	VERB
ejpam-2013	151	21	we	we	PRON
ejpam-2013	151	22	are	be	AUX
ejpam-2013	151	23	going	go	VERB
ejpam-2013	151	24	to	to	PART
ejpam-2013	151	25	induce	induce	VERB
ejpam-2013	151	26	the	the	DET
ejpam-2013	151	27	legendre	legendre	PROPN
ejpam-2013	151	28	character	character	NOUN
ejpam-2013	151	29	to	to	ADP
ejpam-2013	151	30	one	one	NUM
ejpam-2013	151	31	of	of	ADP
ejpam-2013	151	32	the	the	DET
ejpam-2013	151	33	maximal	maximal	ADJ
ejpam-2013	151	34	compact	compact	ADJ
ejpam-2013	151	35	subgroups	subgroup	NOUN
ejpam-2013	151	36	j0	j0	PROPN
ejpam-2013	151	37	,	,	PUNCT
ejpam-2013	151	38	j1	j1	PROPN
ejpam-2013	151	39	or	or	CCONJ
ejpam-2013	151	40	both	both	PRON
ejpam-2013	151	41	.	.	PUNCT
ejpam-2013	152	1	theorem	theorem	VERB
ejpam-2013	152	2	6	6	NUM
ejpam-2013	152	3	.	.	PUNCT
ejpam-2013	153	1	there	there	PRON
ejpam-2013	153	2	are	be	VERB
ejpam-2013	153	3	three	three	NUM
ejpam-2013	153	4	generators	generator	NOUN
ejpam-2013	153	5	for	for	ADP
ejpam-2013	153	6	h0	h0	PROPN
ejpam-2013	153	7	which	which	PRON
ejpam-2013	153	8	they	they	PRON
ejpam-2013	153	9	are	be	AUX
ejpam-2013	153	10	constructed	construct	VERB
ejpam-2013	153	11	by	by	ADP
ejpam-2013	153	12	inducing	induce	VERB
ejpam-2013	153	13	a	a	DET
ejpam-2013	153	14	representation	representation	NOUN
ejpam-2013	153	15	of	of	ADP
ejpam-2013	153	16	the	the	DET
ejpam-2013	153	17	legendre	legendre	PROPN
ejpam-2013	153	18	character	character	NOUN
ejpam-2013	153	19	from	from	ADP
ejpam-2013	153	20	i	i	PRON
ejpam-2013	153	21	to	to	ADP
ejpam-2013	153	22	the	the	DET
ejpam-2013	153	23	maximal	maximal	ADJ
ejpam-2013	153	24	subgroups	subgroup	NOUN
ejpam-2013	153	25	j0	j0	PROPN
ejpam-2013	153	26	and	and	CCONJ
ejpam-2013	153	27	j1	j1	PROPN
ejpam-2013	153	28	.	.	PUNCT
ejpam-2013	154	1	proof	proof	NOUN
ejpam-2013	154	2	.	.	PUNCT
ejpam-2013	155	1	we	we	PRON
ejpam-2013	155	2	know	know	VERB
ejpam-2013	155	3	that	that	SCONJ
ejpam-2013	155	4	if	if	SCONJ
ejpam-2013	155	5	λ2	λ2	NOUN
ejpam-2013	155	6	=	=	SYM
ejpam-2013	155	7	1	1	NUM
ejpam-2013	155	8	then	then	ADV
ejpam-2013	155	9	ind	ind	NOUN
ejpam-2013	155	10	sl(2,fp	sl(2,fp	PROPN
ejpam-2013	155	11	)	)	PUNCT
ejpam-2013	155	12	b	b	NOUN
ejpam-2013	155	13	λ=	λ=	VERB
ejpam-2013	155	14	λ+b	λ+b	PUNCT
ejpam-2013	155	15	⊕λ	⊕λ	NOUN
ejpam-2013	155	16	−	−	PROPN
ejpam-2013	155	17	b	b	PROPN
ejpam-2013	155	18	.	.	PUNCT
ejpam-2013	156	1	this	this	PRON
ejpam-2013	156	2	means	mean	VERB
ejpam-2013	156	3	our	our	PRON
ejpam-2013	156	4	induced	induced	ADJ
ejpam-2013	156	5	representation	representation	NOUN
ejpam-2013	156	6	can	can	AUX
ejpam-2013	156	7	be	be	AUX
ejpam-2013	156	8	written	write	VERB
ejpam-2013	156	9	as	as	ADP
ejpam-2013	156	10	decomposition	decomposition	NOUN
ejpam-2013	156	11	of	of	ADP
ejpam-2013	156	12	two	two	NUM
ejpam-2013	156	13	representations	representation	NOUN
ejpam-2013	156	14	.	.	PUNCT
ejpam-2013	157	1	so	so	ADV
ejpam-2013	157	2	if	if	SCONJ
ejpam-2013	157	3	we	we	PRON
ejpam-2013	157	4	induced	induce	VERB
ejpam-2013	157	5	to	to	ADP
ejpam-2013	157	6	the	the	DET
ejpam-2013	157	7	maximal	maximal	ADJ
ejpam-2013	157	8	compact	compact	ADJ
ejpam-2013	157	9	subgroups	subgroup	NOUN
ejpam-2013	157	10	j0	j0	PROPN
ejpam-2013	157	11	,	,	PUNCT
ejpam-2013	157	12	j1	j1	PROPN
ejpam-2013	157	13	we	we	PRON
ejpam-2013	157	14	would	would	AUX
ejpam-2013	157	15	have	have	VERB
ejpam-2013	157	16	three	three	NUM
ejpam-2013	157	17	multiple	multiple	ADJ
ejpam-2013	157	18	choices	choice	NOUN
ejpam-2013	157	19	.	.	PUNCT
ejpam-2013	158	1	let	let	VERB
ejpam-2013	158	2	λi	λi	AUX
ejpam-2013	158	3	be	be	AUX
ejpam-2013	158	4	any	any	DET
ejpam-2013	158	5	representation	representation	NOUN
ejpam-2013	158	6	in	in	ADP
ejpam-2013	158	7	r(i	r(i	NOUN
ejpam-2013	158	8	)	)	PUNCT
ejpam-2013	158	9	,	,	PUNCT
ejpam-2013	158	10	then	then	ADV
ejpam-2013	158	11	indj0	indj0	NOUN
ejpam-2013	158	12	i	i	PRON
ejpam-2013	158	13	λi	λi	VERB
ejpam-2013	158	14	(	(	PUNCT
ejpam-2013	158	15	resp	resp	NOUN
ejpam-2013	158	16	.	.	PUNCT
ejpam-2013	159	1	indj1	indj1	NOUN
ejpam-2013	160	1	i	i	PRON
ejpam-2013	160	2	λi	λi	VERB
ejpam-2013	160	3	)	)	PUNCT
ejpam-2013	160	4	is	be	AUX
ejpam-2013	160	5	the	the	DET
ejpam-2013	160	6	induced	induced	ADJ
ejpam-2013	160	7	representation	representation	NOUN
ejpam-2013	160	8	of	of	ADP
ejpam-2013	160	9	the	the	DET
ejpam-2013	160	10	legendre	legendre	PROPN
ejpam-2013	160	11	character	character	NOUN
ejpam-2013	160	12	from	from	ADP
ejpam-2013	160	13	i	i	PRON
ejpam-2013	160	14	to	to	ADP
ejpam-2013	160	15	j0	j0	PROPN
ejpam-2013	160	16	(	(	PUNCT
ejpam-2013	160	17	resp	resp	NOUN
ejpam-2013	160	18	.	.	PUNCT
ejpam-2013	161	1	j1	j1	PROPN
ejpam-2013	161	2	)	)	PUNCT
ejpam-2013	161	3	.	.	PUNCT
ejpam-2013	162	1	now	now	ADV
ejpam-2013	162	2	,	,	PUNCT
ejpam-2013	162	3	we	we	PRON
ejpam-2013	162	4	have	have	VERB
ejpam-2013	162	5	indj0	indj0	NOUN
ejpam-2013	163	1	i	i	PRON
ejpam-2013	163	2	λi	λi	X
ejpam-2013	163	3	=	=	SYM
ejpam-2013	163	4	λ	λ	X
ejpam-2013	163	5	+	+	X
ejpam-2013	163	6	j0	j0	PROPN
ejpam-2013	163	7	⊕λ−j0	⊕λ−j0	PROPN
ejpam-2013	163	8	and	and	CCONJ
ejpam-2013	163	9	indj1	indj1	NOUN
ejpam-2013	164	1	i	i	PRON
ejpam-2013	164	2	λi	λi	VERB
ejpam-2013	164	3	=	=	SYM
ejpam-2013	164	4	λ	λ	PROPN
ejpam-2013	165	1	+	+	PROPN
ejpam-2013	166	1	j1	j1	PROPN
ejpam-2013	166	2	⊕λ−j1	⊕λ−j1	PROPN
ejpam-2013	166	3	.	.	PUNCT
ejpam-2013	167	1	this	this	PRON
ejpam-2013	167	2	means	mean	VERB
ejpam-2013	167	3	we	we	PRON
ejpam-2013	167	4	have	have	VERB
ejpam-2013	167	5	three	three	NUM
ejpam-2013	167	6	generators	generator	NOUN
ejpam-2013	167	7	for	for	ADP
ejpam-2013	167	8	h0	h0	NOUN
ejpam-2013	167	9	which	which	PRON
ejpam-2013	167	10	are	be	AUX
ejpam-2013	167	11	:	:	PUNCT
ejpam-2013	167	12	λ+j1	λ+j1	ADJ
ejpam-2013	167	13	,	,	PUNCT
ejpam-2013	167	14	λ+j0	λ+j0	ADJ
ejpam-2013	167	15	and	and	CCONJ
ejpam-2013	167	16	λ−j0	λ−j0	NOUN
ejpam-2013	167	17	or	or	CCONJ
ejpam-2013	167	18	λ−j1	λ−j1	CCONJ
ejpam-2013	167	19	,	,	PUNCT
ejpam-2013	167	20	λ+j0	λ+j0	VERB
ejpam-2013	167	21	and	and	CCONJ
ejpam-2013	167	22	λ−j0	λ−j0	NOUN
ejpam-2013	167	23	.	.	PUNCT
ejpam-2013	168	1	this	this	PRON
ejpam-2013	168	2	also	also	ADV
ejpam-2013	168	3	shows	show	VERB
ejpam-2013	168	4	that	that	SCONJ
ejpam-2013	168	5	the	the	DET
ejpam-2013	168	6	assembly	assembly	NOUN
ejpam-2013	168	7	map	map	NOUN
ejpam-2013	168	8	indg	indg	PROPN
ejpam-2013	168	9	j0	j0	PROPN
ejpam-2013	168	10	works	work	VERB
ejpam-2013	168	11	as	as	SCONJ
ejpam-2013	168	12	follows	follow	VERB
ejpam-2013	168	13	[	[	X
ejpam-2013	168	14	indj0	indj0	NOUN
ejpam-2013	168	15	i	i	PRON
ejpam-2013	168	16	λi	λi	VERB
ejpam-2013	168	17	−λ+j0	−λ+j0	PROPN
ejpam-2013	168	18	,	,	PUNCT
ejpam-2013	168	19	0]f	0]f	NOUN
ejpam-2013	168	20	7→	7→	NUM
ejpam-2013	169	1	[	[	X
ejpam-2013	169	2	λ−j0	λ−j0	X
ejpam-2013	169	3	]	]	X
ejpam-2013	169	4	f	f	X
ejpam-2013	169	5	i.e.	i.e.	X
ejpam-2013	169	6	it	it	PRON
ejpam-2013	169	7	takes	take	VERB
ejpam-2013	169	8	the	the	DET
ejpam-2013	169	9	generator	generator	NOUN
ejpam-2013	169	10	of	of	ADP
ejpam-2013	169	11	h	h	PROPN
ejpam-2013	169	12	f	f	PROPN
ejpam-2013	169	13	0	0	NUM
ejpam-2013	169	14	to	to	ADP
ejpam-2013	169	15	the	the	DET
ejpam-2013	169	16	generator	generator	NOUN
ejpam-2013	169	17	of	of	ADP
ejpam-2013	169	18	k	k	PROPN
ejpam-2013	169	19	f	f	PROPN
ejpam-2013	169	20	0	0	PROPN
ejpam-2013	169	21	labeled	label	VERB
ejpam-2013	169	22	by	by	ADP
ejpam-2013	169	23	λ−j0	λ−j0	PROPN
ejpam-2013	169	24	.	.	PUNCT
ejpam-2013	170	1	in	in	ADP
ejpam-2013	170	2	the	the	DET
ejpam-2013	170	3	same	same	ADJ
ejpam-2013	170	4	way	way	NOUN
ejpam-2013	170	5	this	this	DET
ejpam-2013	170	6	map	map	NOUN
ejpam-2013	170	7	works	work	VERB
ejpam-2013	170	8	on	on	ADP
ejpam-2013	170	9	the	the	DET
ejpam-2013	170	10	e	e	NOUN
ejpam-2013	170	11	-	-	NOUN
ejpam-2013	170	12	sides	side	NOUN
ejpam-2013	170	13	by	by	ADP
ejpam-2013	170	14	taking	take	VERB
ejpam-2013	170	15	the	the	DET
ejpam-2013	170	16	[	[	X
ejpam-2013	170	17	indj0	indj0	NOUN
ejpam-2013	170	18	i	i	PRON
ejpam-2013	170	19	λi	λi	VERB
ejpam-2013	170	20	−λ+j0	−λ+j0	PROPN
ejpam-2013	170	21	,	,	PUNCT
ejpam-2013	171	1	0]e	0]e	PROPN
ejpam-2013	171	2	7→	7→	NUM
ejpam-2013	172	1	[	[	X
ejpam-2013	172	2	λ−j0	λ−j0	X
ejpam-2013	172	3	]	]	X
ejpam-2013	172	4	e	e	X
ejpam-2013	172	5	.	.	PUNCT
ejpam-2013	173	1	this	this	PRON
ejpam-2013	173	2	means	mean	VERB
ejpam-2013	173	3	we	we	PRON
ejpam-2013	173	4	have	have	VERB
ejpam-2013	173	5	three	three	NUM
ejpam-2013	173	6	independent	independent	ADJ
ejpam-2013	173	7	elements	element	NOUN
ejpam-2013	173	8	.	.	PUNCT
ejpam-2013	174	1	theorem	theorem	VERB
ejpam-2013	174	2	7	7	NUM
ejpam-2013	174	3	.	.	PUNCT
ejpam-2013	175	1	the	the	DET
ejpam-2013	175	2	base	base	NOUN
ejpam-2013	175	3	change	change	NOUN
ejpam-2013	175	4	on	on	ADP
ejpam-2013	175	5	k0	k0	PROPN
ejpam-2013	175	6	-	-	PUNCT
ejpam-2013	175	7	theory	theory	NOUN
ejpam-2013	175	8	level	level	NOUN
ejpam-2013	175	9	takes	take	VERB
ejpam-2013	175	10	the	the	DET
ejpam-2013	175	11	k0	k0	PROPN
ejpam-2013	175	12	-	-	PUNCT
ejpam-2013	175	13	generator	generator	NOUN
ejpam-2013	175	14	of	of	ADP
ejpam-2013	175	15	the	the	DET
ejpam-2013	175	16	reduced	reduce	VERB
ejpam-2013	175	17	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	175	18	of	of	ADP
ejpam-2013	175	19	sl(2	sl(2	PROPN
ejpam-2013	175	20	,	,	PUNCT
ejpam-2013	175	21	e	e	NOUN
ejpam-2013	175	22	)	)	PUNCT
ejpam-2013	175	23	labeled	label	VERB
ejpam-2013	175	24	by	by	ADP
ejpam-2013	175	25	λ−j0(e	λ−j0(e	PROPN
ejpam-2013	175	26	)	)	PUNCT
ejpam-2013	175	27	to	to	ADP
ejpam-2013	175	28	the	the	DET
ejpam-2013	175	29	k0	k0	PROPN
ejpam-2013	175	30	-	-	PUNCT
ejpam-2013	175	31	generator	generator	NOUN
ejpam-2013	175	32	of	of	ADP
ejpam-2013	175	33	the	the	DET
ejpam-2013	175	34	reduce	reduce	NOUN
ejpam-2013	175	35	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	175	36	of	of	ADP
ejpam-2013	175	37	sl(2	sl(2	PROPN
ejpam-2013	175	38	,	,	PUNCT
ejpam-2013	175	39	f	f	X
ejpam-2013	175	40	)	)	PUNCT
ejpam-2013	175	41	labeled	label	VERB
ejpam-2013	175	42	by	by	ADP
ejpam-2013	175	43	λ−j0(f	λ−j0(f	PROPN
ejpam-2013	175	44	)	)	PUNCT
ejpam-2013	175	45	.	.	PUNCT
ejpam-2013	176	1	the	the	DET
ejpam-2013	176	2	k	k	NOUN
ejpam-2013	176	3	-	-	PUNCT
ejpam-2013	176	4	theory	theory	NOUN
ejpam-2013	176	5	group	group	NOUN
ejpam-2013	176	6	k0	k0	PROPN
ejpam-2013	176	7	c∗r	c∗r	PUNCT
ejpam-2013	176	8	sl(2	sl(2	PROPN
ejpam-2013	176	9	,	,	PUNCT
ejpam-2013	176	10	f	f	X
ejpam-2013	176	11	)	)	PUNCT
ejpam-2013	176	12	in	in	ADP
ejpam-2013	176	13	this	this	DET
ejpam-2013	176	14	case	case	NOUN
ejpam-2013	176	15	is	be	AUX
ejpam-2013	176	16	z3	z3	PROPN
ejpam-2013	176	17	.	.	PUNCT
ejpam-2013	177	1	w.	w.	PROPN
ejpam-2013	177	2	aeal	aeal	PROPN
ejpam-2013	177	3	/	/	SYM
ejpam-2013	177	4	eur	eur	PROPN
ejpam-2013	177	5	.	.	PUNCT
ejpam-2013	178	1	j.	j.	PROPN
ejpam-2013	178	2	pure	pure	PROPN
ejpam-2013	178	3	appl	appl	PROPN
ejpam-2013	178	4	.	.	PROPN
ejpam-2013	178	5	math	math	PROPN
ejpam-2013	178	6	,	,	PUNCT
ejpam-2013	178	7	7	7	NUM
ejpam-2013	178	8	(	(	PUNCT
ejpam-2013	178	9	2014	2014	NUM
ejpam-2013	178	10	)	)	PUNCT
ejpam-2013	178	11	,	,	PUNCT
ejpam-2013	178	12	45	45	NUM
ejpam-2013	178	13	-	-	SYM
ejpam-2013	178	14	54	54	NUM
ejpam-2013	178	15	51	51	NUM
ejpam-2013	178	16	proof	proof	NOUN
ejpam-2013	178	17	.	.	PUNCT
ejpam-2013	179	1	theorem	theorem	VERB
ejpam-2013	179	2	6	6	NUM
ejpam-2013	179	3	shows	show	VERB
ejpam-2013	179	4	that	that	SCONJ
ejpam-2013	179	5	we	we	PRON
ejpam-2013	179	6	have	have	VERB
ejpam-2013	179	7	three	three	NUM
ejpam-2013	179	8	generators	generator	NOUN
ejpam-2013	179	9	for	for	ADP
ejpam-2013	179	10	k0	k0	PROPN
ejpam-2013	179	11	and	and	CCONJ
ejpam-2013	179	12	this	this	PRON
ejpam-2013	179	13	means	mean	VERB
ejpam-2013	179	14	k0	k0	PROPN
ejpam-2013	179	15	=	=	PROPN
ejpam-2013	179	16	z3	z3	PROPN
ejpam-2013	179	17	.	.	PUNCT
ejpam-2013	180	1	on	on	ADP
ejpam-2013	180	2	the	the	DET
ejpam-2013	180	3	other	other	ADJ
ejpam-2013	180	4	hand	hand	NOUN
ejpam-2013	180	5	,	,	PUNCT
ejpam-2013	180	6	we	we	PRON
ejpam-2013	180	7	introduce	introduce	VERB
ejpam-2013	180	8	the	the	DET
ejpam-2013	180	9	cuspidal	cuspidal	NOUN
ejpam-2013	180	10	representations	representation	NOUN
ejpam-2013	180	11	as	as	SCONJ
ejpam-2013	180	12	follows	follow	VERB
ejpam-2013	180	13	:	:	PUNCT
ejpam-2013	180	14	let	let	VERB
ejpam-2013	180	15	ℵ=	ℵ=	PROPN
ejpam-2013	180	16	ρ⊗1	ρ⊗1	VERB
ejpam-2013	180	17	:	:	PUNCT
ejpam-2013	180	18	wf	wf	PROPN
ejpam-2013	180	19	×	×	PROPN
ejpam-2013	180	20	sl(2,c)→	sl(2,c)→	PROPN
ejpam-2013	180	21	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	180	22	)	)	PUNCT
ejpam-2013	180	23	then	then	ADV
ejpam-2013	180	24	we	we	PRON
ejpam-2013	180	25	have	have	VERB
ejpam-2013	180	26	ℵ	ℵ	NOUN
ejpam-2013	180	27	|we	|we	NUM
ejpam-2013	180	28	:	:	PUNCT
ejpam-2013	180	29	we	we	PRON
ejpam-2013	180	30	×	×	VERB
ejpam-2013	180	31	sl(2,c)→	sl(2,c)→	PROPN
ejpam-2013	180	32	pgl(2,c	pgl(2,c	NOUN
ejpam-2013	180	33	)	)	PUNCT
ejpam-2013	180	34	.	.	PUNCT
ejpam-2013	181	1	now	now	ADV
ejpam-2013	181	2	let	let	VERB
ejpam-2013	181	3	ℵ	ℵ	NOUN
ejpam-2013	181	4	be	be	AUX
ejpam-2013	181	5	an	an	DET
ejpam-2013	181	6	irreducible	irreducible	ADJ
ejpam-2013	181	7	representation	representation	NOUN
ejpam-2013	181	8	.	.	PUNCT
ejpam-2013	182	1	i	i	PRON
ejpam-2013	182	2	)	)	PUNCT
ejpam-2013	182	3	if	if	SCONJ
ejpam-2013	182	4	ℵ	ℵ	DET
ejpam-2013	182	5	|we	|we	NOUN
ejpam-2013	182	6	remains	remain	VERB
ejpam-2013	182	7	irreducible	irreducible	ADJ
ejpam-2013	182	8	after	after	ADP
ejpam-2013	182	9	restriction	restriction	NOUN
ejpam-2013	182	10	,	,	PUNCT
ejpam-2013	182	11	then	then	ADV
ejpam-2013	182	12	this	this	PRON
ejpam-2013	182	13	determines	determine	VERB
ejpam-2013	182	14	a	a	DET
ejpam-2013	182	15	cuspidal	cuspidal	NOUN
ejpam-2013	182	16	representation	representation	NOUN
ejpam-2013	182	17	of	of	ADP
ejpam-2013	182	18	sl(2	sl(2	PROPN
ejpam-2013	182	19	,	,	PUNCT
ejpam-2013	182	20	e	e	NOUN
ejpam-2013	182	21	)	)	PUNCT
ejpam-2013	182	22	.	.	PUNCT
ejpam-2013	183	1	base	base	NOUN
ejpam-2013	183	2	change	change	NOUN
ejpam-2013	183	3	in	in	ADP
ejpam-2013	183	4	this	this	DET
ejpam-2013	183	5	case	case	NOUN
ejpam-2013	183	6	,	,	PUNCT
ejpam-2013	183	7	will	will	AUX
ejpam-2013	183	8	send	send	VERB
ejpam-2013	183	9	one	one	NUM
ejpam-2013	183	10	cuspidal	cuspidal	NOUN
ejpam-2013	183	11	representation	representation	NOUN
ejpam-2013	183	12	of	of	ADP
ejpam-2013	183	13	sl(2	sl(2	PROPN
ejpam-2013	183	14	,	,	PUNCT
ejpam-2013	183	15	f	f	X
ejpam-2013	183	16	)	)	PUNCT
ejpam-2013	183	17	to	to	ADP
ejpam-2013	183	18	a	a	DET
ejpam-2013	183	19	cuspidal	cuspidal	NOUN
ejpam-2013	183	20	representation	representation	NOUN
ejpam-2013	183	21	of	of	ADP
ejpam-2013	183	22	sl(2	sl(2	PROPN
ejpam-2013	183	23	,	,	PUNCT
ejpam-2013	183	24	e	e	NOUN
ejpam-2013	183	25	)	)	PUNCT
ejpam-2013	183	26	.	.	PUNCT
ejpam-2013	184	1	ii	ii	X
ejpam-2013	184	2	)	)	PUNCT
ejpam-2013	184	3	if	if	SCONJ
ejpam-2013	184	4	ℵ	ℵ	PRON
ejpam-2013	184	5	|we	|we	VERB
ejpam-2013	184	6	is	be	AUX
ejpam-2013	184	7	reducible	reducible	ADJ
ejpam-2013	184	8	,	,	PUNCT
ejpam-2013	184	9	then	then	ADV
ejpam-2013	184	10	this	this	DET
ejpam-2013	184	11	representation	representation	NOUN
ejpam-2013	184	12	split	split	VERB
ejpam-2013	184	13	into	into	ADP
ejpam-2013	184	14	two	two	NUM
ejpam-2013	184	15	1	1	NUM
ejpam-2013	184	16	-	-	PUNCT
ejpam-2013	184	17	dimensional	dimensional	ADJ
ejpam-2013	184	18	representations	representation	NOUN
ejpam-2013	184	19	.	.	PUNCT
ejpam-2013	185	1	i.e.	i.e.	X
ejpam-2013	185	2	ℵ=	ℵ=	ADJ
ejpam-2013	185	3	ℵ1	ℵ1	NOUN
ejpam-2013	185	4	⊕ℵ2	⊕ℵ2	NOUN
ejpam-2013	185	5	=	=	PUNCT
ejpam-2013	185	6	(	(	PUNCT
ejpam-2013	185	7	ρ1	ρ1	NOUN
ejpam-2013	185	8	⊗1)⊕	⊗1)⊕	PROPN
ejpam-2013	185	9	(	(	PUNCT
ejpam-2013	185	10	ρ2	ρ2	NOUN
ejpam-2013	185	11	⊗1	⊗1	NUM
ejpam-2013	185	12	)	)	PUNCT
ejpam-2013	185	13	,	,	PUNCT
ejpam-2013	185	14	where	where	SCONJ
ejpam-2013	185	15	ρ1	ρ1	NOUN
ejpam-2013	185	16	and	and	CCONJ
ejpam-2013	185	17	ρ2	ρ2	NOUN
ejpam-2013	185	18	are	be	AUX
ejpam-2013	185	19	two	two	NUM
ejpam-2013	185	20	characters	character	NOUN
ejpam-2013	185	21	of	of	ADP
ejpam-2013	185	22	we	we	PRON
ejpam-2013	185	23	.	.	PUNCT
ejpam-2013	186	1	this	this	PRON
ejpam-2013	186	2	means	mean	VERB
ejpam-2013	186	3	on	on	ADP
ejpam-2013	186	4	the	the	DET
ejpam-2013	186	5	k	k	NOUN
ejpam-2013	186	6	-	-	NOUN
ejpam-2013	186	7	theory	theory	NOUN
ejpam-2013	186	8	level	level	NOUN
ejpam-2013	186	9	there	there	PRON
ejpam-2013	186	10	is	be	VERB
ejpam-2013	186	11	one	one	NUM
ejpam-2013	186	12	generator	generator	NOUN
ejpam-2013	186	13	for	for	ADP
ejpam-2013	186	14	each	each	DET
ejpam-2013	186	15	cuspidal	cuspidal	NOUN
ejpam-2013	186	16	representation	representation	NOUN
ejpam-2013	186	17	and	and	CCONJ
ejpam-2013	186	18	the	the	DET
ejpam-2013	186	19	k0	k0	PROPN
ejpam-2013	186	20	=	=	PROPN
ejpam-2013	186	21	z.	z.	PROPN
ejpam-2013	186	22	4	4	X
ejpam-2013	186	23	.	.	PUNCT
ejpam-2013	187	1	representatives	representative	NOUN
ejpam-2013	187	2	in	in	ADP
ejpam-2013	187	3	the	the	DET
ejpam-2013	187	4	chamber	chamber	NOUN
ejpam-2013	187	5	homology	homology	NOUN
ejpam-2013	187	6	h1	h1	VERB
ejpam-2013	187	7	a	a	DET
ejpam-2013	187	8	description	description	NOUN
ejpam-2013	187	9	of	of	ADP
ejpam-2013	187	10	the	the	DET
ejpam-2013	187	11	cycles	cycle	NOUN
ejpam-2013	187	12	in	in	ADP
ejpam-2013	187	13	the	the	DET
ejpam-2013	187	14	group	group	NOUN
ejpam-2013	187	15	h1	h1	NOUN
ejpam-2013	187	16	will	will	AUX
ejpam-2013	187	17	be	be	AUX
ejpam-2013	187	18	introduced	introduce	VERB
ejpam-2013	187	19	in	in	ADP
ejpam-2013	187	20	this	this	DET
ejpam-2013	187	21	section	section	NOUN
ejpam-2013	187	22	.	.	PUNCT
ejpam-2013	188	1	let	let	VERB
ejpam-2013	188	2	g	g	PROPN
ejpam-2013	188	3	=	=	PROPN
ejpam-2013	188	4	sl(2	sl(2	PROPN
ejpam-2013	188	5	,	,	PUNCT
ejpam-2013	188	6	f	f	X
ejpam-2013	188	7	)	)	PUNCT
ejpam-2013	188	8	be	be	AUX
ejpam-2013	188	9	the	the	DET
ejpam-2013	188	10	group	group	NOUN
ejpam-2013	188	11	of	of	ADP
ejpam-2013	188	12	unimodular	unimodular	ADJ
ejpam-2013	188	13	2	2	NUM
ejpam-2013	188	14	×	×	NOUN
ejpam-2013	188	15	2	2	NUM
ejpam-2013	188	16	matrices	matrix	NOUN
ejpam-2013	188	17	with	with	ADP
ejpam-2013	188	18	entries	entry	NOUN
ejpam-2013	188	19	in	in	ADP
ejpam-2013	188	20	the	the	DET
ejpam-2013	188	21	field	field	NOUN
ejpam-2013	188	22	f	f	X
ejpam-2013	188	23	.	.	PUNCT
ejpam-2013	189	1	it	it	PRON
ejpam-2013	189	2	is	be	AUX
ejpam-2013	189	3	a	a	DET
ejpam-2013	189	4	locally	locally	ADV
ejpam-2013	189	5	compact	compact	ADJ
ejpam-2013	189	6	totally	totally	ADV
ejpam-2013	189	7	disconnected	disconnect	VERB
ejpam-2013	189	8	topological	topological	ADJ
ejpam-2013	189	9	group	group	NOUN
ejpam-2013	190	1	[	[	X
ejpam-2013	190	2	8	8	NUM
ejpam-2013	190	3	,	,	PUNCT
ejpam-2013	190	4	9	9	NUM
ejpam-2013	190	5	]	]	PUNCT
ejpam-2013	190	6	.	.	PUNCT
ejpam-2013	191	1	let	let	VERB
ejpam-2013	191	2	i	i	PRON
ejpam-2013	191	3	=	=	PUNCT
ejpam-2013	191	4	�	�	PROPN
ejpam-2013	192	1	o	o	NOUN
ejpam-2013	192	2	o	o	NOUN
ejpam-2013	192	3	$	$	SYM
ejpam-2013	192	4	o	o	NOUN
ejpam-2013	192	5	o	o	X
ejpam-2013	192	6	�	�	PROPN
ejpam-2013	192	7	∩sl(2	∩sl(2	PROPN
ejpam-2013	192	8	)	)	PUNCT
ejpam-2013	192	9	.	.	PUNCT
ejpam-2013	193	1	this	this	PRON
ejpam-2013	193	2	is	be	AUX
ejpam-2013	193	3	a	a	DET
ejpam-2013	193	4	compact	compact	ADJ
ejpam-2013	193	5	open	open	ADJ
ejpam-2013	193	6	subgroup	subgroup	NOUN
ejpam-2013	193	7	of	of	ADP
ejpam-2013	193	8	g	g	PROPN
ejpam-2013	193	9	,	,	PUNCT
ejpam-2013	193	10	called	call	VERB
ejpam-2013	193	11	the	the	DET
ejpam-2013	193	12	iwahori	iwahori	NOUN
ejpam-2013	193	13	subgroup	subgroup	NOUN
ejpam-2013	193	14	.	.	PUNCT
ejpam-2013	194	1	let	let	VERB
ejpam-2013	194	2	w0	w0	PROPN
ejpam-2013	194	3	=	=	SYM
ejpam-2013	194	4	�	�	PROPN
ejpam-2013	194	5	0	0	NUM
ejpam-2013	194	6	−1	−1	NOUN
ejpam-2013	194	7	1	1	NUM
ejpam-2013	194	8	0	0	NUM
ejpam-2013	194	9	�	�	PROPN
ejpam-2013	194	10	and	and	CCONJ
ejpam-2013	194	11	w1	w1	NOUN
ejpam-2013	194	12	=	=	SYM
ejpam-2013	194	13	�	�	PROPN
ejpam-2013	194	14	0	0	PUNCT
ejpam-2013	195	1	−$−1	−$−1	PROPN
ejpam-2013	195	2	$	$	SYM
ejpam-2013	195	3	0	0	NUM
ejpam-2013	195	4	�	�	PROPN
ejpam-2013	195	5	.	.	PUNCT
ejpam-2013	196	1	these	these	DET
ejpam-2013	196	2	elements	element	NOUN
ejpam-2013	196	3	appear	appear	VERB
ejpam-2013	196	4	in	in	ADP
ejpam-2013	196	5	the	the	DET
ejpam-2013	196	6	tits	tit	NOUN
ejpam-2013	196	7	system	system	NOUN
ejpam-2013	196	8	associated	associate	VERB
ejpam-2013	196	9	to	to	ADP
ejpam-2013	196	10	g	g	PROPN
ejpam-2013	196	11	,	,	PUNCT
ejpam-2013	196	12	which	which	PRON
ejpam-2013	196	13	plays	play	VERB
ejpam-2013	196	14	an	an	DET
ejpam-2013	196	15	important	important	ADJ
ejpam-2013	196	16	role	role	NOUN
ejpam-2013	196	17	in	in	ADP
ejpam-2013	196	18	what	what	PRON
ejpam-2013	196	19	follows	follow	VERB
ejpam-2013	196	20	[	[	X
ejpam-2013	196	21	3	3	NUM
ejpam-2013	196	22	,	,	PUNCT
ejpam-2013	196	23	7	7	NUM
ejpam-2013	196	24	]	]	PUNCT
ejpam-2013	196	25	.	.	PUNCT
ejpam-2013	197	1	let	let	VERB
ejpam-2013	197	2	j0	j0	PROPN
ejpam-2013	197	3	=	=	PUNCT
ejpam-2013	198	1	i	i	PRON
ejpam-2013	198	2	∪	∪	VERB
ejpam-2013	198	3	iw0	iw0	NOUN
ejpam-2013	198	4	i	i	X
ejpam-2013	198	5	=	=	SYM
ejpam-2013	198	6	�	�	PROPN
ejpam-2013	199	1	o	o	NOUN
ejpam-2013	199	2	o	o	X
ejpam-2013	199	3	o	o	X
ejpam-2013	199	4	o	o	X
ejpam-2013	199	5	�	�	PROPN
ejpam-2013	199	6	∩	∩	PROPN
ejpam-2013	199	7	sl(2	sl(2	PROPN
ejpam-2013	199	8	)	)	PUNCT
ejpam-2013	199	9	and	and	CCONJ
ejpam-2013	199	10	j1	j1	PROPN
ejpam-2013	199	11	=	=	PUNCT
ejpam-2013	199	12	i	i	PRON
ejpam-2013	199	13	∪	∪	VERB
ejpam-2013	199	14	iw1	iw1	VERB
ejpam-2013	200	1	i	i	PROPN
ejpam-2013	200	2	=	=	SYM
ejpam-2013	200	3	�	�	PROPN
ejpam-2013	200	4	o	o	PROPN
ejpam-2013	200	5	$	$	SYM
ejpam-2013	200	6	−1o	−1o	X
ejpam-2013	200	7	$	$	SYM
ejpam-2013	200	8	o	o	NOUN
ejpam-2013	200	9	o	o	X
ejpam-2013	200	10	�	�	PROPN
ejpam-2013	200	11	∩	∩	PROPN
ejpam-2013	200	12	sl(2	sl(2	PROPN
ejpam-2013	200	13	)	)	PUNCT
ejpam-2013	200	14	,	,	PUNCT
ejpam-2013	200	15	these	these	PRON
ejpam-2013	200	16	are	be	AUX
ejpam-2013	200	17	compact	compact	ADJ
ejpam-2013	200	18	open	open	ADJ
ejpam-2013	200	19	subgroups	subgroup	NOUN
ejpam-2013	200	20	of	of	ADP
ejpam-2013	200	21	g	g	NOUN
ejpam-2013	200	22	,	,	PUNCT
ejpam-2013	200	23	we	we	PRON
ejpam-2013	200	24	have	have	VERB
ejpam-2013	200	25	j0	j0	PROPN
ejpam-2013	200	26	∩	∩	ADJ
ejpam-2013	200	27	j1	j1	NOUN
ejpam-2013	200	28	=	=	PUNCT
ejpam-2013	200	29	i	i	PROPN
ejpam-2013	200	30	.	.	PUNCT
ejpam-2013	201	1	the	the	DET
ejpam-2013	201	2	tree	tree	NOUN
ejpam-2013	201	3	for	for	ADP
ejpam-2013	201	4	g	g	PROPN
ejpam-2013	201	5	=	=	SYM
ejpam-2013	201	6	sl(2	sl(2	PROPN
ejpam-2013	201	7	)	)	PUNCT
ejpam-2013	201	8	is	be	AUX
ejpam-2013	201	9	the	the	DET
ejpam-2013	201	10	graph	graph	NOUN
ejpam-2013	201	11	βg	βg	ADP
ejpam-2013	201	12	,	,	PUNCT
ejpam-2013	201	13	the	the	DET
ejpam-2013	201	14	group	group	NOUN
ejpam-2013	201	15	g	g	NOUN
ejpam-2013	201	16	acting	act	VERB
ejpam-2013	201	17	on	on	ADP
ejpam-2013	201	18	βg	βg	NOUN
ejpam-2013	201	19	by	by	ADP
ejpam-2013	201	20	multiplication	multiplication	NOUN
ejpam-2013	201	21	on	on	ADP
ejpam-2013	201	22	the	the	DET
ejpam-2013	201	23	left	left	NOUN
ejpam-2013	201	24	.	.	PUNCT
ejpam-2013	202	1	we	we	PRON
ejpam-2013	202	2	see	see	VERB
ejpam-2013	202	3	that	that	SCONJ
ejpam-2013	202	4	i	i	PRON
ejpam-2013	202	5	is	be	AUX
ejpam-2013	202	6	the	the	DET
ejpam-2013	202	7	stabilizer	stabilizer	NOUN
ejpam-2013	202	8	of	of	ADP
ejpam-2013	202	9	the	the	DET
ejpam-2013	202	10	fundamental	fundamental	ADJ
ejpam-2013	202	11	edge	edge	NOUN
ejpam-2013	202	12	,	,	PUNCT
ejpam-2013	202	13	and	and	CCONJ
ejpam-2013	202	14	that	that	SCONJ
ejpam-2013	202	15	j0	j0	PROPN
ejpam-2013	202	16	,	,	PUNCT
ejpam-2013	202	17	j1	j1	PROPN
ejpam-2013	202	18	are	be	AUX
ejpam-2013	202	19	the	the	DET
ejpam-2013	202	20	stabilizer	stabilizer	NOUN
ejpam-2013	202	21	of	of	ADP
ejpam-2013	202	22	the	the	DET
ejpam-2013	202	23	vertices	vertex	NOUN
ejpam-2013	202	24	of	of	ADP
ejpam-2013	202	25	this	this	DET
ejpam-2013	202	26	edge	edge	NOUN
ejpam-2013	202	27	,	,	PUNCT
ejpam-2013	202	28	respectively	respectively	ADV
ejpam-2013	202	29	.	.	PUNCT
ejpam-2013	203	1	now	now	ADV
ejpam-2013	203	2	if	if	SCONJ
ejpam-2013	203	3	i	i	PRON
ejpam-2013	203	4	,	,	PUNCT
ejpam-2013	203	5	j0	j0	PROPN
ejpam-2013	203	6	and	and	CCONJ
ejpam-2013	203	7	j1	j1	PROPN
ejpam-2013	203	8	are	be	AUX
ejpam-2013	203	9	the	the	DET
ejpam-2013	203	10	compact	compact	ADJ
ejpam-2013	203	11	subgroups	subgroup	NOUN
ejpam-2013	203	12	of	of	ADP
ejpam-2013	203	13	g	g	PROPN
ejpam-2013	203	14	=	=	SYM
ejpam-2013	203	15	sl(2	sl(2	PROPN
ejpam-2013	203	16	)	)	PUNCT
ejpam-2013	203	17	defined	define	VERB
ejpam-2013	203	18	in	in	ADP
ejpam-2013	203	19	the	the	DET
ejpam-2013	203	20	previous	previous	ADJ
ejpam-2013	203	21	two	two	NUM
ejpam-2013	203	22	paragraphs	paragraph	NOUN
ejpam-2013	203	23	,	,	PUNCT
ejpam-2013	203	24	then	then	ADV
ejpam-2013	203	25	we	we	PRON
ejpam-2013	203	26	have	have	VERB
ejpam-2013	203	27	this	this	DET
ejpam-2013	203	28	chain	chain	NOUN
ejpam-2013	203	29	complex	complex	NOUN
ejpam-2013	203	30	0	0	NUM
ejpam-2013	203	31	r(j0)⊕r(j1)oo	r(j0)⊕r(j1)oo	NOUN
ejpam-2013	203	32	r(i	r(i	NOUN
ejpam-2013	203	33	)	)	PUNCT
ejpam-2013	203	34	indj0	indj0	NOUN
ejpam-2013	204	1	i	i	PRON
ejpam-2013	204	2	⊕−indj1	⊕−indj1	VERB
ejpam-2013	205	1	i	i	PRON
ejpam-2013	205	2	=	=	VERB
ejpam-2013	205	3	∂oo	∂oo	PROPN
ejpam-2013	205	4	0oo	0oo	ADV
ejpam-2013	205	5	so	so	SCONJ
ejpam-2013	205	6	that	that	PRON
ejpam-2013	205	7	h0	h0	NOUN
ejpam-2013	205	8	=	=	SYM
ejpam-2013	205	9	r(j0)⊕r(j1	r(j0)⊕r(j1	PROPN
ejpam-2013	205	10	)	)	PUNCT
ejpam-2013	205	11	∂r(i	∂r(i	PROPN
ejpam-2013	205	12	)	)	PUNCT
ejpam-2013	205	13	and	and	CCONJ
ejpam-2013	205	14	h1	h1	NOUN
ejpam-2013	205	15	=	=	PUNCT
ejpam-2013	205	16	ker∂	ker∂	NOUN
ejpam-2013	205	17	.	.	PUNCT
ejpam-2013	206	1	for	for	SCONJ
ejpam-2013	206	2	more	more	ADJ
ejpam-2013	206	3	details	detail	NOUN
ejpam-2013	206	4	see	see	VERB
ejpam-2013	206	5	[	[	X
ejpam-2013	206	6	1	1	NUM
ejpam-2013	206	7	]	]	PUNCT
ejpam-2013	206	8	.	.	PUNCT
ejpam-2013	207	1	w.	w.	PROPN
ejpam-2013	207	2	aeal	aeal	PROPN
ejpam-2013	207	3	/	/	SYM
ejpam-2013	207	4	eur	eur	PROPN
ejpam-2013	207	5	.	.	PUNCT
ejpam-2013	208	1	j.	j.	PROPN
ejpam-2013	208	2	pure	pure	PROPN
ejpam-2013	208	3	appl	appl	PROPN
ejpam-2013	208	4	.	.	PROPN
ejpam-2013	208	5	math	math	PROPN
ejpam-2013	208	6	,	,	PUNCT
ejpam-2013	208	7	7	7	NUM
ejpam-2013	208	8	(	(	PUNCT
ejpam-2013	208	9	2014	2014	NUM
ejpam-2013	208	10	)	)	PUNCT
ejpam-2013	208	11	,	,	PUNCT
ejpam-2013	208	12	45	45	NUM
ejpam-2013	208	13	-	-	SYM
ejpam-2013	208	14	54	54	NUM
ejpam-2013	208	15	52	52	NUM
ejpam-2013	208	16	definition	definition	NOUN
ejpam-2013	208	17	1	1	NUM
ejpam-2013	208	18	.	.	PUNCT
ejpam-2013	209	1	a	a	DET
ejpam-2013	209	2	character	character	NOUN
ejpam-2013	209	3	χ	χ	NOUN
ejpam-2013	209	4	of	of	ADP
ejpam-2013	209	5	f×	f×	PROPN
ejpam-2013	209	6	is	be	AUX
ejpam-2013	209	7	called	call	VERB
ejpam-2013	209	8	tame	tame	ADJ
ejpam-2013	209	9	character	character	NOUN
ejpam-2013	209	10	if	if	SCONJ
ejpam-2013	209	11	χ|u	χ|u	NOUN
ejpam-2013	209	12	1	1	NUM
ejpam-2013	209	13	f	f	NOUN
ejpam-2013	209	14	is	be	AUX
ejpam-2013	209	15	trivial	trivial	ADJ
ejpam-2013	209	16	.	.	PUNCT
ejpam-2013	210	1	lemma	lemma	PROPN
ejpam-2013	210	2	4	4	X
ejpam-2013	210	3	.	.	PUNCT
ejpam-2013	211	1	let	let	VERB
ejpam-2013	211	2	χ	χ	PRON
ejpam-2013	211	3	be	be	AUX
ejpam-2013	211	4	a	a	DET
ejpam-2013	211	5	tame	tame	ADJ
ejpam-2013	211	6	character	character	NOUN
ejpam-2013	211	7	of	of	ADP
ejpam-2013	211	8	i	i	PRON
ejpam-2013	211	9	then	then	ADV
ejpam-2013	211	10	χ	χ	PROPN
ejpam-2013	211	11	−χ−1	−χ−1	NUM
ejpam-2013	211	12	∈	∈	PROPN
ejpam-2013	211	13	h1	h1	NOUN
ejpam-2013	211	14	.	.	PUNCT
ejpam-2013	212	1	proof	proof	NOUN
ejpam-2013	212	2	.	.	PUNCT
ejpam-2013	213	1	let	let	VERB
ejpam-2013	213	2	χ	χ	PRON
ejpam-2013	213	3	be	be	AUX
ejpam-2013	213	4	character	character	NOUN
ejpam-2013	213	5	of	of	ADP
ejpam-2013	213	6	i	i	PRON
ejpam-2013	213	7	,	,	PUNCT
ejpam-2013	213	8	i.e.	i.e.	X
ejpam-2013	213	9	i	i	X
ejpam-2013	213	10	modp	modp	PROPN
ejpam-2013	214	1	//	//	PROPN
ejpam-2013	214	2	b	b	PROPN
ejpam-2013	214	3	⊂	⊂	PROPN
ejpam-2013	214	4	sl2(fp	sl2(fp	PROPN
ejpam-2013	214	5	)	)	PUNCT
ejpam-2013	215	1	χ	χ	X
ejpam-2013	215	2	:	:	PUNCT
ejpam-2013	215	3	sl(2)∩	sl(2)∩	ADJ
ejpam-2013	215	4	�	�	PROPN
ejpam-2013	216	1	o	o	NOUN
ejpam-2013	216	2	o	o	X
ejpam-2013	216	3	po	po	X
ejpam-2013	216	4	o	o	X
ejpam-2013	216	5	�	�	PROPN
ejpam-2013	216	6	−→	−→	PROPN
ejpam-2013	216	7	t	t	PROPN
ejpam-2013	216	8	,	,	PUNCT
ejpam-2013	216	9	�	�	PROPN
ejpam-2013	216	10	x	x	SYM
ejpam-2013	216	11	y	y	PROPN
ejpam-2013	216	12	0	0	NUM
ejpam-2013	216	13	x−1	x−1	PROPN
ejpam-2013	216	14	�	�	PROPN
ejpam-2013	216	15	7−→	7−→	PROPN
ejpam-2013	216	16	χ(x	χ(x	PROPN
ejpam-2013	216	17	)	)	PUNCT
ejpam-2013	216	18	.	.	PUNCT
ejpam-2013	217	1	now	now	ADV
ejpam-2013	217	2	let	let	VERB
ejpam-2013	217	3	w	w	NOUN
ejpam-2013	217	4	=	=	SYM
ejpam-2013	217	5	�	�	PROPN
ejpam-2013	217	6	0	0	NUM
ejpam-2013	217	7	−1	−1	NOUN
ejpam-2013	217	8	1	1	NUM
ejpam-2013	217	9	0	0	NUM
ejpam-2013	217	10	�	�	PROPN
ejpam-2013	217	11	∈	∈	PROPN
ejpam-2013	217	12	sl(2	sl(2	PROPN
ejpam-2013	217	13	)	)	PUNCT
ejpam-2013	217	14	,	,	PUNCT
ejpam-2013	217	15	w	w	PROPN
ejpam-2013	217	16	∈w	∈w	NOUN
ejpam-2013	217	17	wherew	wherew	NOUN
ejpam-2013	217	18	is	be	AUX
ejpam-2013	217	19	the	the	DET
ejpam-2013	217	20	weyl	weyl	VERB
ejpam-2013	217	21	group	group	NOUN
ejpam-2013	217	22	of	of	ADP
ejpam-2013	217	23	sl(2	sl(2	PROPN
ejpam-2013	217	24	)	)	PUNCT
ejpam-2013	217	25	.	.	PUNCT
ejpam-2013	218	1	we	we	PRON
ejpam-2013	218	2	have	have	VERB
ejpam-2013	218	3	wχ(x	wχ(x	PUNCT
ejpam-2013	218	4	)	)	PUNCT
ejpam-2013	218	5	=	=	SYM
ejpam-2013	218	6	χ(wxw−1	χ(wxw−1	NOUN
ejpam-2013	218	7	)	)	PUNCT
ejpam-2013	218	8	.	.	PUNCT
ejpam-2013	219	1	to	to	PART
ejpam-2013	219	2	prove	prove	VERB
ejpam-2013	219	3	that	that	SCONJ
ejpam-2013	219	4	χ	χ	ADJ
ejpam-2013	219	5	−	−	NOUN
ejpam-2013	219	6	wχ	wχ	ADP
ejpam-2013	219	7	∈	∈	PROPN
ejpam-2013	219	8	h1	h1	PROPN
ejpam-2013	219	9	it	it	PRON
ejpam-2013	219	10	is	be	AUX
ejpam-2013	219	11	enough	enough	ADJ
ejpam-2013	219	12	to	to	PART
ejpam-2013	219	13	show	show	VERB
ejpam-2013	219	14	that	that	SCONJ
ejpam-2013	219	15	χ	χ	DET
ejpam-2013	219	16	−	−	PROPN
ejpam-2013	219	17	wχ	wχ	ADP
ejpam-2013	219	18	∈	∈	PROPN
ejpam-2013	219	19	r(i	r(i	NOUN
ejpam-2013	219	20	)	)	PUNCT
ejpam-2013	219	21	,	,	PUNCT
ejpam-2013	219	22	i.e.	i.e.	X
ejpam-2013	219	23	∂	∂	X
ejpam-2013	219	24	(	(	PUNCT
ejpam-2013	219	25	χ	χ	X
ejpam-2013	219	26	−	−	NOUN
ejpam-2013	219	27	wχ	wχ	NOUN
ejpam-2013	219	28	)	)	PUNCT
ejpam-2013	219	29	=	=	SYM
ejpam-2013	220	1	0	0	X
ejpam-2013	220	2	.	.	PUNCT
ejpam-2013	221	1	in	in	ADP
ejpam-2013	221	2	other	other	ADJ
ejpam-2013	221	3	words	word	NOUN
ejpam-2013	221	4	we	we	PRON
ejpam-2013	221	5	need	need	VERB
ejpam-2013	221	6	to	to	PART
ejpam-2013	221	7	show	show	VERB
ejpam-2013	221	8	that	that	DET
ejpam-2013	221	9	indj0	indj0	NOUN
ejpam-2013	222	1	i	i	PRON
ejpam-2013	222	2	(	(	PUNCT
ejpam-2013	222	3	χ	χ	NOUN
ejpam-2013	222	4	−wχ	−wχ	NOUN
ejpam-2013	222	5	)	)	PUNCT
ejpam-2013	222	6	=	=	SYM
ejpam-2013	222	7	0	0	NUM
ejpam-2013	222	8	and	and	CCONJ
ejpam-2013	222	9	indj1	indj1	NOUN
ejpam-2013	223	1	i	i	PRON
ejpam-2013	223	2	(	(	PUNCT
ejpam-2013	223	3	χ	χ	NOUN
ejpam-2013	223	4	−wχ	−wχ	NOUN
ejpam-2013	223	5	)	)	PUNCT
ejpam-2013	223	6	=	=	SYM
ejpam-2013	223	7	0	0	X
ejpam-2013	223	8	.	.	PUNCT
ejpam-2013	223	9	now	now	ADV
ejpam-2013	223	10	choose	choose	VERB
ejpam-2013	223	11	χ	χ	PRON
ejpam-2013	223	12	6=	6=	NUM
ejpam-2013	223	13	wχ	wχ	NOUN
ejpam-2013	223	14	,	,	PUNCT
ejpam-2013	223	15	so	so	ADV
ejpam-2013	223	16	wχ	wχ	ADP
ejpam-2013	223	17	�	�	PROPN
ejpam-2013	223	18	x	x	SYM
ejpam-2013	223	19	y	y	PROPN
ejpam-2013	223	20	0	0	NUM
ejpam-2013	223	21	x−1	x−1	PROPN
ejpam-2013	223	22	�	�	PROPN
ejpam-2013	223	23	:	:	PUNCT
ejpam-2013	223	24	=	=	SYM
ejpam-2013	223	25	χ	χ	DET
ejpam-2013	223	26	�	�	PROPN
ejpam-2013	223	27	x−1	x−1	PROPN
ejpam-2013	223	28	0	0	NUM
ejpam-2013	223	29	−y	−y	PROPN
ejpam-2013	223	30	x	x	X
ejpam-2013	223	31	�	�	PROPN
ejpam-2013	223	32	.	.	PUNCT
ejpam-2013	224	1	this	this	PRON
ejpam-2013	224	2	means	mean	VERB
ejpam-2013	224	3	wχ	wχ	ADP
ejpam-2013	224	4	=	=	SYM
ejpam-2013	224	5	χ−1	χ−1	PROPN
ejpam-2013	224	6	.	.	PUNCT
ejpam-2013	225	1	therefore	therefore	ADV
ejpam-2013	225	2	we	we	PRON
ejpam-2013	225	3	only	only	ADV
ejpam-2013	225	4	need	need	VERB
ejpam-2013	225	5	to	to	PART
ejpam-2013	225	6	prove	prove	VERB
ejpam-2013	225	7	indj0	indj0	NOUN
ejpam-2013	226	1	i	i	PRON
ejpam-2013	226	2	(	(	PUNCT
ejpam-2013	226	3	χ	χ	X
ejpam-2013	226	4	−χ	−χ	ADJ
ejpam-2013	226	5	−1	−1	NOUN
ejpam-2013	226	6	)	)	PUNCT
ejpam-2013	226	7	=	=	SYM
ejpam-2013	226	8	0	0	NUM
ejpam-2013	226	9	and	and	CCONJ
ejpam-2013	226	10	indj1	indj1	NOUN
ejpam-2013	227	1	i	i	PRON
ejpam-2013	227	2	(	(	PUNCT
ejpam-2013	227	3	χ	χ	X
ejpam-2013	227	4	−	−	PROPN
ejpam-2013	227	5	χ	χ	NOUN
ejpam-2013	227	6	−1	−1	NOUN
ejpam-2013	227	7	)	)	PUNCT
ejpam-2013	227	8	=	=	SYM
ejpam-2013	227	9	0	0	X
ejpam-2013	227	10	.	.	PUNCT
ejpam-2013	228	1	but	but	CCONJ
ejpam-2013	228	2	indj0	indj0	NOUN
ejpam-2013	228	3	i	i	PRON
ejpam-2013	228	4	(	(	PUNCT
ejpam-2013	228	5	χ	χ	X
ejpam-2013	228	6	−	−	PROPN
ejpam-2013	228	7	χ	χ	NOUN
ejpam-2013	228	8	−1	−1	NOUN
ejpam-2013	228	9	)	)	PUNCT
ejpam-2013	228	10	=	=	SYM
ejpam-2013	228	11	0	0	PUNCT
ejpam-2013	229	1	if	if	SCONJ
ejpam-2013	229	2	and	and	CCONJ
ejpam-2013	229	3	only	only	ADV
ejpam-2013	229	4	if	if	SCONJ
ejpam-2013	229	5	indj0	indj0	NOUN
ejpam-2013	229	6	i	i	PRON
ejpam-2013	229	7	χ	χ	VERB
ejpam-2013	229	8	∼=	∼=	ADJ
ejpam-2013	229	9	indj0	indj0	NOUN
ejpam-2013	230	1	i	i	PRON
ejpam-2013	230	2	χ	χ	X
ejpam-2013	230	3	−1	−1	NOUN
ejpam-2013	230	4	.	.	PUNCT
ejpam-2013	231	1	since	since	SCONJ
ejpam-2013	231	2	χ	χ	NOUN
ejpam-2013	231	3	and	and	CCONJ
ejpam-2013	231	4	χ−1	χ−1	PROPN
ejpam-2013	231	5	are	be	AUX
ejpam-2013	231	6	distinct	distinct	ADJ
ejpam-2013	231	7	,	,	PUNCT
ejpam-2013	231	8	then	then	ADV
ejpam-2013	231	9	they	they	PRON
ejpam-2013	231	10	are	be	AUX
ejpam-2013	231	11	determine	determine	VERB
ejpam-2013	231	12	the	the	DET
ejpam-2013	231	13	the	the	DET
ejpam-2013	231	14	same	same	ADJ
ejpam-2013	231	15	representation	representation	NOUN
ejpam-2013	231	16	and	and	CCONJ
ejpam-2013	231	17	this	this	DET
ejpam-2013	231	18	representation	representation	NOUN
ejpam-2013	231	19	is	be	AUX
ejpam-2013	231	20	irreducible	irreducible	ADJ
ejpam-2013	231	21	if	if	SCONJ
ejpam-2013	231	22	and	and	CCONJ
ejpam-2013	231	23	only	only	ADV
ejpam-2013	231	24	if	if	SCONJ
ejpam-2013	231	25	χ2	χ2	PROPN
ejpam-2013	231	26	6=	6=	ADP
ejpam-2013	231	27	1	1	NUM
ejpam-2013	231	28	[	[	X
ejpam-2013	231	29	4	4	NUM
ejpam-2013	231	30	]	]	PUNCT
ejpam-2013	231	31	.	.	PUNCT
ejpam-2013	232	1	this	this	PRON
ejpam-2013	232	2	means	mean	VERB
ejpam-2013	232	3	indj0	indj0	NOUN
ejpam-2013	233	1	i	i	PRON
ejpam-2013	233	2	χ	χ	VERB
ejpam-2013	233	3	∼=	∼=	ADJ
ejpam-2013	233	4	indj0	indj0	NOUN
ejpam-2013	234	1	i	i	PRON
ejpam-2013	234	2	χ	χ	VERB
ejpam-2013	234	3	−1	−1	NOUN
ejpam-2013	234	4	.	.	PUNCT
ejpam-2013	235	1	therefore	therefore	ADV
ejpam-2013	235	2	indj0	indj0	NOUN
ejpam-2013	236	1	i	i	PRON
ejpam-2013	236	2	(	(	PUNCT
ejpam-2013	236	3	χ	χ	X
ejpam-2013	236	4	−χ	−χ	ADJ
ejpam-2013	236	5	−1	−1	NOUN
ejpam-2013	236	6	)	)	PUNCT
ejpam-2013	236	7	=	=	SYM
ejpam-2013	237	1	0	0	X
ejpam-2013	237	2	.	.	NOUN
ejpam-2013	237	3	same	same	ADJ
ejpam-2013	237	4	results	result	NOUN
ejpam-2013	237	5	will	will	AUX
ejpam-2013	237	6	be	be	AUX
ejpam-2013	237	7	shown	show	VERB
ejpam-2013	237	8	if	if	SCONJ
ejpam-2013	237	9	we	we	PRON
ejpam-2013	237	10	take	take	VERB
ejpam-2013	237	11	j1	j1	NOUN
ejpam-2013	237	12	.	.	PUNCT
ejpam-2013	238	1	this	this	PRON
ejpam-2013	238	2	means	mean	VERB
ejpam-2013	238	3	we	we	PRON
ejpam-2013	238	4	have	have	VERB
ejpam-2013	238	5	χ	χ	DET
ejpam-2013	238	6	−χ−1	−χ−1	NUM
ejpam-2013	238	7	∈	∈	PROPN
ejpam-2013	238	8	h1	h1	PROPN
ejpam-2013	238	9	.	.	PUNCT
ejpam-2013	239	1	now	now	ADV
ejpam-2013	239	2	let	let	VERB
ejpam-2013	239	3	k	k	PRON
ejpam-2013	239	4	be	be	AUX
ejpam-2013	239	5	a	a	DET
ejpam-2013	239	6	positive	positive	ADJ
ejpam-2013	239	7	integer	integer	NOUN
ejpam-2013	239	8	,	,	PUNCT
ejpam-2013	239	9	i(k	i(k	PROPN
ejpam-2013	239	10	)	)	PUNCT
ejpam-2013	239	11	=	=	PUNCT
ejpam-2013	239	12	�	�	PROPN
ejpam-2013	239	13	o	o	NOUN
ejpam-2013	239	14	o	o	X
ejpam-2013	240	1	$	$	SYM
ejpam-2013	240	2	ko	ko	PROPN
ejpam-2013	240	3	o	o	PROPN
ejpam-2013	240	4	�	�	PROPN
ejpam-2013	240	5	∩	∩	PROPN
ejpam-2013	240	6	sl(2	sl(2	PROPN
ejpam-2013	240	7	,	,	PUNCT
ejpam-2013	240	8	f	f	PROPN
ejpam-2013	240	9	)	)	PUNCT
ejpam-2013	240	10	.	.	PUNCT
ejpam-2013	241	1	consider	consider	VERB
ejpam-2013	241	2	now	now	ADV
ejpam-2013	241	3	the	the	DET
ejpam-2013	241	4	subgroup	subgroup	NOUN
ejpam-2013	241	5	i(k)w	i(k)w	PROPN
ejpam-2013	241	6	=	=	PUNCT
ejpam-2013	242	1	i(k)∩w−1	i(k)∩w−1	NUM
ejpam-2013	242	2	i(k)w	i(k)w	PROPN
ejpam-2013	242	3	=	=	SYM
ejpam-2013	242	4	�	�	PROPN
ejpam-2013	242	5	o	o	NOUN
ejpam-2013	242	6	$	$	SYM
ejpam-2013	242	7	ko	ko	PROPN
ejpam-2013	242	8	$	$	SYM
ejpam-2013	242	9	ko	ko	NOUN
ejpam-2013	242	10	o	o	PROPN
ejpam-2013	242	11	�	�	PROPN
ejpam-2013	242	12	∩	∩	PROPN
ejpam-2013	242	13	sl(2	sl(2	PROPN
ejpam-2013	242	14	)	)	PUNCT
ejpam-2013	242	15	.	.	PUNCT
ejpam-2013	243	1	let	let	VERB
ejpam-2013	243	2	ψ	ψ	PART
ejpam-2013	243	3	be	be	AUX
ejpam-2013	243	4	an	an	DET
ejpam-2013	243	5	invariant	invariant	ADJ
ejpam-2013	243	6	function	function	NOUN
ejpam-2013	243	7	on	on	ADP
ejpam-2013	243	8	i	i	PRON
ejpam-2013	243	9	and	and	CCONJ
ejpam-2013	243	10	let	let	VERB
ejpam-2013	243	11	α	α	NOUN
ejpam-2013	243	12	:	:	PUNCT
ejpam-2013	243	13	sl(2)→	sl(2)→	PROPN
ejpam-2013	243	14	sl(2	sl(2	PROPN
ejpam-2013	243	15	)	)	PUNCT
ejpam-2013	243	16	,	,	PUNCT
ejpam-2013	243	17	α	α	NOUN
ejpam-2013	243	18	:	:	PUNCT
ejpam-2013	243	19	�	�	PROPN
ejpam-2013	243	20	a	a	DET
ejpam-2013	243	21	b	b	PROPN
ejpam-2013	243	22	c	c	NOUN
ejpam-2013	243	23	d	d	X
ejpam-2013	243	24	�	�	PROPN
ejpam-2013	243	25	7→	7→	NUM
ejpam-2013	243	26	�	�	PROPN
ejpam-2013	243	27	d	d	ADP
ejpam-2013	243	28	$	$	PROPN
ejpam-2013	243	29	−1c	−1c	X
ejpam-2013	243	30	$	$	SYM
ejpam-2013	243	31	b	b	PROPN
ejpam-2013	243	32	a	a	DET
ejpam-2013	243	33	�	�	PROPN
ejpam-2013	243	34	.	.	PUNCT
ejpam-2013	244	1	define	define	VERB
ejpam-2013	244	2	ψα(g	ψα(g	NOUN
ejpam-2013	244	3	)	)	PUNCT
ejpam-2013	244	4	=	=	SYM
ejpam-2013	244	5	ψ(α(g	ψ(α(g	PROPN
ejpam-2013	244	6	)	)	PUNCT
ejpam-2013	244	7	)	)	PUNCT
ejpam-2013	244	8	,	,	PUNCT
ejpam-2013	244	9	then	then	ADV
ejpam-2013	244	10	ψ	ψ	X
ejpam-2013	244	11	induces	induce	VERB
ejpam-2013	244	12	to	to	ADP
ejpam-2013	244	13	zero	zero	NUM
ejpam-2013	244	14	on	on	ADP
ejpam-2013	244	15	j1(resp	j1(resp	PROPN
ejpam-2013	244	16	.	.	PUNCT
ejpam-2013	245	1	j0	j0	PROPN
ejpam-2013	245	2	)	)	PUNCT
ejpam-2013	246	1	if	if	SCONJ
ejpam-2013	246	2	and	and	CCONJ
ejpam-2013	246	3	only	only	ADV
ejpam-2013	246	4	if	if	SCONJ
ejpam-2013	246	5	ψα	ψα	ADP
ejpam-2013	246	6	induces	induce	NOUN
ejpam-2013	246	7	to	to	ADP
ejpam-2013	246	8	zero	zero	NUM
ejpam-2013	246	9	on	on	ADP
ejpam-2013	246	10	j0(resp	j0(resp	PROPN
ejpam-2013	246	11	.	.	PUNCT
ejpam-2013	247	1	j1	j1	PROPN
ejpam-2013	247	2	)	)	PUNCT
ejpam-2013	247	3	.	.	PUNCT
ejpam-2013	248	1	therefore	therefore	ADV
ejpam-2013	248	2	ψ	ψ	X
ejpam-2013	248	3	∈	∈	PROPN
ejpam-2013	248	4	h1	h1	PROPN
ejpam-2013	248	5	if	if	SCONJ
ejpam-2013	248	6	and	and	CCONJ
ejpam-2013	248	7	only	only	ADV
ejpam-2013	248	8	if	if	SCONJ
ejpam-2013	248	9	ψα	ψα	ADP
ejpam-2013	248	10	∈	∈	PROPN
ejpam-2013	248	11	h1	h1	NOUN
ejpam-2013	248	12	.	.	PUNCT
ejpam-2013	249	1	fix	fix	VERB
ejpam-2013	249	2	a	a	DET
ejpam-2013	249	3	character	character	NOUN
ejpam-2013	249	4	χ	χ	X
ejpam-2013	249	5	:	:	PUNCT
ejpam-2013	249	6	uf	uf	PROPN
ejpam-2013	249	7	→	→	SYM
ejpam-2013	249	8	t	t	PROPN
ejpam-2013	249	9	not	not	PART
ejpam-2013	249	10	of	of	ADP
ejpam-2013	249	11	order	order	NOUN
ejpam-2013	249	12	two	two	NUM
ejpam-2013	249	13	,	,	PUNCT
ejpam-2013	249	14	and	and	CCONJ
ejpam-2013	249	15	let	let	VERB
ejpam-2013	249	16	k	k	PRON
ejpam-2013	249	17	be	be	AUX
ejpam-2013	249	18	the	the	DET
ejpam-2013	249	19	least	least	ADV
ejpam-2013	249	20	positive	positive	ADJ
ejpam-2013	249	21	integer	integer	NOUN
ejpam-2013	249	22	such	such	ADJ
ejpam-2013	249	23	that	that	SCONJ
ejpam-2013	249	24	χ[1+$ko	χ[1+$ko	NUM
ejpam-2013	249	25	]	]	PUNCT
ejpam-2013	250	1	=	=	PUNCT
ejpam-2013	250	2	1	1	X
ejpam-2013	250	3	.	.	PUNCT
ejpam-2013	251	1	the	the	DET
ejpam-2013	251	2	character	character	NOUN
ejpam-2013	251	3	χ	χ	PROPN
ejpam-2013	251	4	extends	extend	VERB
ejpam-2013	251	5	to	to	ADP
ejpam-2013	251	6	the	the	DET
ejpam-2013	251	7	group	group	NOUN
ejpam-2013	251	8	i(k	i(k	PROPN
ejpam-2013	251	9	)	)	PUNCT
ejpam-2013	251	10	using	use	VERB
ejpam-2013	251	11	the	the	DET
ejpam-2013	251	12	formula	formula	NOUN
ejpam-2013	251	13	χ	χ	X
ejpam-2013	251	14	:	:	PUNCT
ejpam-2013	251	15	�	�	PROPN
ejpam-2013	251	16	a	a	DET
ejpam-2013	251	17	b	b	PROPN
ejpam-2013	251	18	$	$	SYM
ejpam-2013	251	19	kc	kc	PROPN
ejpam-2013	251	20	d	d	PROPN
ejpam-2013	251	21	�	�	PROPN
ejpam-2013	251	22	7→	7→	PROPN
ejpam-2013	251	23	χ(a	χ(a	NOUN
ejpam-2013	251	24	)	)	PUNCT
ejpam-2013	251	25	.	.	PUNCT
ejpam-2013	252	1	lemma	lemma	PROPN
ejpam-2013	252	2	5	5	X
ejpam-2013	252	3	.	.	PUNCT
ejpam-2013	253	1	let	let	VERB
ejpam-2013	253	2	ψ	ψ	PRON
ejpam-2013	253	3	χ	χ	X
ejpam-2013	253	4	=	=	X
ejpam-2013	253	5	ind	ind	NOUN
ejpam-2013	253	6	i	i	PRON
ejpam-2013	253	7	i(k)χ	i(k)χ	VERB
ejpam-2013	253	8	then	then	ADV
ejpam-2013	253	9	i	i	PRON
ejpam-2013	253	10	)	)	PUNCT
ejpam-2013	254	1	ψ	ψ	X
ejpam-2013	254	2	χ	χ	NOUN
ejpam-2013	254	3	is	be	AUX
ejpam-2013	254	4	an	an	DET
ejpam-2013	254	5	irreducible	irreducible	ADJ
ejpam-2013	254	6	character	character	NOUN
ejpam-2013	254	7	.	.	PUNCT
ejpam-2013	255	1	w.	w.	PROPN
ejpam-2013	255	2	aeal	aeal	PROPN
ejpam-2013	255	3	/	/	SYM
ejpam-2013	255	4	eur	eur	PROPN
ejpam-2013	255	5	.	.	PUNCT
ejpam-2013	256	1	j.	j.	PROPN
ejpam-2013	256	2	pure	pure	PROPN
ejpam-2013	256	3	appl	appl	PROPN
ejpam-2013	256	4	.	.	PROPN
ejpam-2013	256	5	math	math	PROPN
ejpam-2013	256	6	,	,	PUNCT
ejpam-2013	256	7	7	7	NUM
ejpam-2013	256	8	(	(	PUNCT
ejpam-2013	256	9	2014	2014	NUM
ejpam-2013	256	10	)	)	PUNCT
ejpam-2013	256	11	,	,	PUNCT
ejpam-2013	256	12	45	45	NUM
ejpam-2013	256	13	-	-	SYM
ejpam-2013	256	14	54	54	NUM
ejpam-2013	256	15	53	53	NUM
ejpam-2013	256	16	ii	ii	NOUN
ejpam-2013	256	17	)	)	PUNCT
ejpam-2013	256	18	ψα	ψα	ADP
ejpam-2013	256	19	χ	χ	X
ejpam-2013	256	20	=	=	NOUN
ejpam-2013	256	21	ψ	ψ	X
ejpam-2013	256	22	χ	χ	NOUN
ejpam-2013	256	23	,	,	PUNCT
ejpam-2013	256	24	where	where	SCONJ
ejpam-2013	256	25	α	α	NOUN
ejpam-2013	256	26	is	be	AUX
ejpam-2013	256	27	the	the	DET
ejpam-2013	256	28	automorphism	automorphism	NOUN
ejpam-2013	256	29	of	of	ADP
ejpam-2013	256	30	sl(2	sl(2	PROPN
ejpam-2013	256	31	)	)	PUNCT
ejpam-2013	256	32	.	.	PUNCT
ejpam-2013	257	1	now	now	ADV
ejpam-2013	257	2	let	let	VERB
ejpam-2013	257	3	cχ	cχ	NOUN
ejpam-2013	257	4	=	=	PUNCT
ejpam-2013	257	5	ψχ	ψχ	NOUN
ejpam-2013	257	6	−ψ	−ψ	NOUN
ejpam-2013	257	7	χ	χ	X
ejpam-2013	257	8	.	.	PUNCT
ejpam-2013	258	1	then	then	ADV
ejpam-2013	258	2	cχ	cχ	PROPN
ejpam-2013	258	3	∈	∈	PROPN
ejpam-2013	258	4	h1	h1	PROPN
ejpam-2013	258	5	,	,	PUNCT
ejpam-2013	258	6	and	and	CCONJ
ejpam-2013	258	7	the	the	DET
ejpam-2013	258	8	cycle	cycle	NOUN
ejpam-2013	258	9	cχ	cχ	NOUN
ejpam-2013	258	10	,	,	PUNCT
ejpam-2013	258	11	one	one	NUM
ejpam-2013	258	12	selected	select	VERB
ejpam-2013	258	13	from	from	ADP
ejpam-2013	258	14	each	each	DET
ejpam-2013	258	15	pair	pair	NOUN
ejpam-2013	258	16	of	of	ADP
ejpam-2013	258	17	characters	character	NOUN
ejpam-2013	258	18	{	{	PUNCT
ejpam-2013	258	19	χ	χ	NOUN
ejpam-2013	258	20	,	,	PUNCT
ejpam-2013	258	21	χ	χ	X
ejpam-2013	258	22	}	}	PUNCT
ejpam-2013	258	23	,	,	PUNCT
ejpam-2013	258	24	constitute	constitute	VERB
ejpam-2013	258	25	a	a	DET
ejpam-2013	258	26	basis	basis	NOUN
ejpam-2013	258	27	for	for	ADP
ejpam-2013	258	28	h1	h1	PROPN
ejpam-2013	258	29	.	.	PUNCT
ejpam-2013	259	1	therefore	therefore	ADV
ejpam-2013	259	2	all	all	DET
ejpam-2013	259	3	cycles	cycle	NOUN
ejpam-2013	259	4	will	will	AUX
ejpam-2013	259	5	be	be	AUX
ejpam-2013	259	6	of	of	ADP
ejpam-2013	259	7	this	this	DET
ejpam-2013	259	8	form	form	NOUN
ejpam-2013	259	9	.	.	PUNCT
ejpam-2013	260	1	theorem	theorem	VERB
ejpam-2013	260	2	8	8	NUM
ejpam-2013	260	3	.	.	PUNCT
ejpam-2013	261	1	i	i	PRON
ejpam-2013	261	2	)	)	PUNCT
ejpam-2013	261	3	the	the	DET
ejpam-2013	261	4	base	base	NOUN
ejpam-2013	261	5	change	change	NOUN
ejpam-2013	261	6	on	on	ADP
ejpam-2013	261	7	k1	k1	NOUN
ejpam-2013	261	8	-	-	PUNCT
ejpam-2013	261	9	theory	theory	NOUN
ejpam-2013	261	10	level	level	NOUN
ejpam-2013	261	11	works	work	NOUN
ejpam-2013	261	12	as	as	SCONJ
ejpam-2013	261	13	follows	follow	VERB
ejpam-2013	261	14	:	:	PUNCT
ejpam-2013	261	15	k1c∗r	k1c∗r	PROPN
ejpam-2013	262	1	sl(2	sl(2	PROPN
ejpam-2013	262	2	,	,	PUNCT
ejpam-2013	262	3	e	e	NOUN
ejpam-2013	262	4	)	)	PUNCT
ejpam-2013	262	5	k1(bc	k1(bc	PROPN
ejpam-2013	262	6	)	)	PUNCT
ejpam-2013	262	7	//	//	NOUN
ejpam-2013	262	8	k1c∗r	k1c∗r	PROPN
ejpam-2013	263	1	sl(2	sl(2	PROPN
ejpam-2013	263	2	,	,	PUNCT
ejpam-2013	263	3	f	f	PROPN
ejpam-2013	263	4	)	)	PUNCT
ejpam-2013	263	5	,	,	PUNCT
ejpam-2013	263	6	α	α	PROPN
ejpam-2013	263	7	σ	σ	PROPN
ejpam-2013	263	8	◦	◦	PROPN
ejpam-2013	263	9	ne	ne	PROPN
ejpam-2013	263	10	/	/	SYM
ejpam-2013	263	11	f	f	PROPN
ejpam-2013	263	12	7−→	7−→	PROPN
ejpam-2013	263	13	f	f	X
ejpam-2013	263	14	·	·	PUNCT
ejpam-2013	263	15	ασ	ασ	PROPN
ejpam-2013	263	16	ii	ii	PROPN
ejpam-2013	263	17	)	)	PUNCT
ejpam-2013	263	18	the	the	DET
ejpam-2013	263	19	base	base	NOUN
ejpam-2013	263	20	change	change	NOUN
ejpam-2013	263	21	on	on	ADP
ejpam-2013	263	22	h1	h1	NOUN
ejpam-2013	263	23	-	-	PUNCT
ejpam-2013	263	24	level	level	NOUN
ejpam-2013	263	25	works	work	NOUN
ejpam-2013	263	26	as	as	SCONJ
ejpam-2013	263	27	follows	follow	VERB
ejpam-2013	263	28	:	:	PUNCT
ejpam-2013	263	29	(	(	PUNCT
ejpam-2013	263	30	βsl(2	βsl(2	NUM
ejpam-2013	263	31	,	,	PUNCT
ejpam-2013	263	32	e	e	NOUN
ejpam-2013	263	33	)	)	PUNCT
ejpam-2013	263	34	)	)	PUNCT
ejpam-2013	263	35	1	1	NUM
ejpam-2013	263	36	bc	bc	PROPN
ejpam-2013	263	37	//	//	SYM
ejpam-2013	263	38	h1(βsl(2	h1(βsl(2	PROPN
ejpam-2013	263	39	,	,	PUNCT
ejpam-2013	263	40	f	f	NOUN
ejpam-2013	263	41	)	)	PUNCT
ejpam-2013	263	42	)	)	PUNCT
ejpam-2013	263	43	,	,	PUNCT
ejpam-2013	264	1	c	c	PROPN
ejpam-2013	264	2	σ	σ	PROPN
ejpam-2013	264	3	◦	◦	PROPN
ejpam-2013	264	4	ne	ne	PROPN
ejpam-2013	264	5	/	/	SYM
ejpam-2013	264	6	f	f	PROPN
ejpam-2013	264	7	7−→	7−→	PROPN
ejpam-2013	264	8	f	f	X
ejpam-2013	264	9	·	·	PUNCT
ejpam-2013	264	10	cσ	cσ	X
ejpam-2013	264	11	where	where	SCONJ
ejpam-2013	264	12	α	α	PROPN
ejpam-2013	264	13	σ	σ	PROPN
ejpam-2013	264	14	◦	◦	PROPN
ejpam-2013	264	15	ne	ne	PROPN
ejpam-2013	264	16	/	/	SYM
ejpam-2013	264	17	f	f	PROPN
ejpam-2013	264	18	(	(	PUNCT
ejpam-2013	264	19	resp.α	resp.α	NOUN
ejpam-2013	264	20	σ	σ	PROPN
ejpam-2013	264	21	)	)	PUNCT
ejpam-2013	264	22	and	and	CCONJ
ejpam-2013	264	23	c	c	PROPN
ejpam-2013	264	24	σ	σ	PROPN
ejpam-2013	264	25	◦	◦	PROPN
ejpam-2013	264	26	ne	ne	PROPN
ejpam-2013	264	27	/	/	SYM
ejpam-2013	264	28	f	f	PROPN
ejpam-2013	264	29	(	(	PUNCT
ejpam-2013	264	30	resp.cσ	resp.cσ	NOUN
ejpam-2013	264	31	)	)	PUNCT
ejpam-2013	264	32	are	be	AUX
ejpam-2013	264	33	the	the	DET
ejpam-2013	264	34	k1	k1	NOUN
ejpam-2013	264	35	and	and	CCONJ
ejpam-2013	264	36	h1	h1	PROPN
ejpam-2013	264	37	generator	generator	NOUN
ejpam-2013	264	38	of	of	ADP
ejpam-2013	264	39	sl(2	sl(2	PROPN
ejpam-2013	264	40	,	,	PUNCT
ejpam-2013	264	41	e	e	NOUN
ejpam-2013	264	42	)	)	PUNCT
ejpam-2013	264	43	�	�	PROPN
ejpam-2013	264	44	sl(2	sl(2	PROPN
ejpam-2013	264	45	,	,	PUNCT
ejpam-2013	264	46	f	f	X
ejpam-2013	264	47	)	)	PUNCT
ejpam-2013	264	48	�	�	PROPN
ejpam-2013	264	49	respectively	respectively	ADV
ejpam-2013	264	50	.	.	PUNCT
ejpam-2013	265	1	proof	proof	NOUN
ejpam-2013	265	2	.	.	PUNCT
ejpam-2013	266	1	by	by	ADP
ejpam-2013	266	2	theorem	theorem	NOUN
ejpam-2013	266	3	2	2	NUM
ejpam-2013	266	4	this	this	DET
ejpam-2013	266	5	map	map	NOUN
ejpam-2013	266	6	has	have	VERB
ejpam-2013	266	7	degree	degree	NOUN
ejpam-2013	266	8	f	f	PROPN
ejpam-2013	266	9	.	.	PUNCT
ejpam-2013	267	1	the	the	DET
ejpam-2013	267	2	base	base	NOUN
ejpam-2013	267	3	change	change	NOUN
ejpam-2013	267	4	on	on	ADP
ejpam-2013	267	5	the	the	DET
ejpam-2013	267	6	k1	k1	NOUN
ejpam-2013	267	7	-	-	PUNCT
ejpam-2013	267	8	theory	theory	NOUN
ejpam-2013	267	9	level	level	NOUN
ejpam-2013	267	10	takes	take	VERB
ejpam-2013	267	11	the	the	DET
ejpam-2013	267	12	k1	k1	NOUN
ejpam-2013	267	13	-	-	PUNCT
ejpam-2013	267	14	generator	generator	NOUN
ejpam-2013	267	15	of	of	ADP
ejpam-2013	267	16	the	the	DET
ejpam-2013	267	17	reduce	reduce	NOUN
ejpam-2013	267	18	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	267	19	of	of	ADP
ejpam-2013	267	20	sl(2	sl(2	PROPN
ejpam-2013	267	21	,	,	PUNCT
ejpam-2013	267	22	e	e	NOUN
ejpam-2013	267	23	)	)	PUNCT
ejpam-2013	267	24	to	to	ADP
ejpam-2013	267	25	the	the	DET
ejpam-2013	267	26	k1	k1	NOUN
ejpam-2013	267	27	-	-	PUNCT
ejpam-2013	267	28	generator	generator	NOUN
ejpam-2013	267	29	of	of	ADP
ejpam-2013	267	30	the	the	DET
ejpam-2013	267	31	reduce	reduce	NOUN
ejpam-2013	267	32	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	267	33	of	of	ADP
ejpam-2013	267	34	sl(2	sl(2	PROPN
ejpam-2013	267	35	,	,	PUNCT
ejpam-2013	267	36	f	f	X
ejpam-2013	267	37	)	)	PUNCT
ejpam-2013	267	38	multiplying	multiply	VERB
ejpam-2013	267	39	by	by	ADP
ejpam-2013	267	40	the	the	DET
ejpam-2013	267	41	residue	residue	NOUN
ejpam-2013	267	42	field	field	NOUN
ejpam-2013	267	43	degree	degree	NOUN
ejpam-2013	267	44	f	f	NOUN
ejpam-2013	267	45	,	,	PUNCT
ejpam-2013	267	46	so	so	CCONJ
ejpam-2013	267	47	(	(	PUNCT
ejpam-2013	267	48	1	1	X
ejpam-2013	267	49	)	)	PUNCT
ejpam-2013	267	50	has	have	AUX
ejpam-2013	267	51	been	be	AUX
ejpam-2013	267	52	proved	prove	VERB
ejpam-2013	267	53	.	.	PUNCT
ejpam-2013	268	1	we	we	PRON
ejpam-2013	268	2	also	also	ADV
ejpam-2013	268	3	know	know	VERB
ejpam-2013	268	4	that	that	SCONJ
ejpam-2013	268	5	the	the	DET
ejpam-2013	268	6	base	base	NOUN
ejpam-2013	268	7	change	change	NOUN
ejpam-2013	268	8	on	on	ADP
ejpam-2013	268	9	the	the	DET
ejpam-2013	268	10	chamber	chamber	NOUN
ejpam-2013	268	11	homology	homology	NOUN
ejpam-2013	268	12	side	side	NOUN
ejpam-2013	268	13	works	work	VERB
ejpam-2013	268	14	by	by	ADP
ejpam-2013	268	15	sending	send	VERB
ejpam-2013	268	16	each	each	DET
ejpam-2013	268	17	unramified	unramifie	VERB
ejpam-2013	268	18	unitary	unitary	ADJ
ejpam-2013	268	19	character	character	NOUN
ejpam-2013	268	20	of	of	ADP
ejpam-2013	268	21	the	the	DET
ejpam-2013	268	22	iwahori	iwahori	NOUN
ejpam-2013	268	23	subgroup	subgroup	NOUN
ejpam-2013	268	24	of	of	ADP
ejpam-2013	268	25	sl(2	sl(2	PROPN
ejpam-2013	268	26	,	,	PUNCT
ejpam-2013	268	27	f	f	X
ejpam-2013	268	28	)	)	PUNCT
ejpam-2013	268	29	to	to	ADP
ejpam-2013	268	30	itself	itself	PRON
ejpam-2013	268	31	composed	compose	VERB
ejpam-2013	268	32	with	with	ADP
ejpam-2013	268	33	the	the	DET
ejpam-2013	268	34	norm	norm	NOUN
ejpam-2013	268	35	map	map	NOUN
ejpam-2013	268	36	.	.	PUNCT
ejpam-2013	269	1	so	so	ADV
ejpam-2013	269	2	,	,	PUNCT
ejpam-2013	269	3	the	the	DET
ejpam-2013	269	4	base	base	NOUN
ejpam-2013	269	5	change	change	NOUN
ejpam-2013	269	6	map	map	NOUN
ejpam-2013	269	7	on	on	ADP
ejpam-2013	269	8	the	the	DET
ejpam-2013	269	9	chamber	chamber	NOUN
ejpam-2013	269	10	homology	homology	NOUN
ejpam-2013	269	11	side	side	NOUN
ejpam-2013	269	12	takes	take	VERB
ejpam-2013	269	13	the	the	DET
ejpam-2013	269	14	generator	generator	NOUN
ejpam-2013	269	15	of	of	ADP
ejpam-2013	269	16	the	the	DET
ejpam-2013	269	17	chamber	chamber	PROPN
ejpam-2013	269	18	homology	homology	NOUN
ejpam-2013	269	19	group	group	NOUN
ejpam-2013	269	20	of	of	ADP
ejpam-2013	269	21	sl(2	sl(2	PROPN
ejpam-2013	269	22	,	,	PUNCT
ejpam-2013	269	23	e	e	NOUN
ejpam-2013	269	24	)	)	PUNCT
ejpam-2013	269	25	(	(	PUNCT
ejpam-2013	269	26	labeled	label	VERB
ejpam-2013	269	27	by	by	ADP
ejpam-2013	269	28	this	this	DET
ejpam-2013	269	29	composite	composite	NOUN
ejpam-2013	269	30	)	)	PUNCT
ejpam-2013	269	31	to	to	ADP
ejpam-2013	269	32	the	the	DET
ejpam-2013	269	33	generator	generator	NOUN
ejpam-2013	269	34	of	of	ADP
ejpam-2013	269	35	the	the	DET
ejpam-2013	269	36	chamber	chamber	PROPN
ejpam-2013	269	37	homology	homology	NOUN
ejpam-2013	269	38	group	group	NOUN
ejpam-2013	269	39	of	of	ADP
ejpam-2013	269	40	sl(2	sl(2	PROPN
ejpam-2013	269	41	,	,	PUNCT
ejpam-2013	269	42	f	f	X
ejpam-2013	269	43	)	)	PUNCT
ejpam-2013	269	44	(	(	PUNCT
ejpam-2013	269	45	labeled	label	VERB
ejpam-2013	269	46	by	by	ADP
ejpam-2013	269	47	unramified	unramifie	VERB
ejpam-2013	269	48	unitary	unitary	ADJ
ejpam-2013	269	49	character	character	NOUN
ejpam-2013	269	50	)	)	PUNCT
ejpam-2013	269	51	multiplying	multiply	VERB
ejpam-2013	269	52	by	by	ADP
ejpam-2013	269	53	the	the	DET
ejpam-2013	269	54	residue	residue	NOUN
ejpam-2013	269	55	field	field	NOUN
ejpam-2013	269	56	degree	degree	NOUN
ejpam-2013	269	57	f	f	PROPN
ejpam-2013	269	58	.	.	PUNCT
ejpam-2013	270	1	corollary	corollary	ADJ
ejpam-2013	270	2	1	1	NUM
ejpam-2013	270	3	.	.	PUNCT
ejpam-2013	271	1	the	the	DET
ejpam-2013	271	2	assembly	assembly	NOUN
ejpam-2013	271	3	map	map	NOUN
ejpam-2013	271	4	h1(sl(2	h1(sl(2	PROPN
ejpam-2013	271	5	,	,	PUNCT
ejpam-2013	271	6	f	f	NOUN
ejpam-2013	271	7	)	)	PUNCT
ejpam-2013	271	8	)	)	PUNCT
ejpam-2013	271	9	µf	µf	ADP
ejpam-2013	271	10	1	1	NUM
ejpam-2013	271	11	//	//	NOUN
ejpam-2013	271	12	k1c∗r	k1c∗r	PROPN
ejpam-2013	272	1	sl(2	sl(2	PROPN
ejpam-2013	272	2	,	,	PUNCT
ejpam-2013	272	3	f	f	X
ejpam-2013	272	4	)	)	PUNCT
ejpam-2013	272	5	under	under	ADP
ejpam-2013	272	6	the	the	DET
ejpam-2013	272	7	base	base	NOUN
ejpam-2013	272	8	change	change	NOUN
ejpam-2013	272	9	works	work	VERB
ejpam-2013	272	10	as	as	SCONJ
ejpam-2013	272	11	follows	follow	VERB
ejpam-2013	272	12	:	:	PUNCT
ejpam-2013	272	13	f	f	X
ejpam-2013	272	14	·	·	PUNCT
ejpam-2013	272	15	cσ	cσ	ADP
ejpam-2013	272	16	7−→	7−→	NOUN
ejpam-2013	272	17	f	f	X
ejpam-2013	272	18	·	·	PUNCT
ejpam-2013	272	19	ασ	ασ	ADP
ejpam-2013	272	20	where	where	SCONJ
ejpam-2013	272	21	cσ	cσ	ADV
ejpam-2013	272	22	and	and	CCONJ
ejpam-2013	272	23	ασ	ασ	PROPN
ejpam-2013	272	24	are	be	AUX
ejpam-2013	272	25	h1	h1	ADJ
ejpam-2013	272	26	and	and	CCONJ
ejpam-2013	272	27	k1	k1	NOUN
ejpam-2013	272	28	generators	generator	NOUN
ejpam-2013	272	29	for	for	ADP
ejpam-2013	272	30	sl(2	sl(2	PROPN
ejpam-2013	272	31	,	,	PUNCT
ejpam-2013	272	32	f	f	X
ejpam-2013	272	33	)	)	PUNCT
ejpam-2013	272	34	respectively	respectively	ADV
ejpam-2013	272	35	.	.	PUNCT
ejpam-2013	273	1	this	this	DET
ejpam-2013	273	2	corollary	corollary	NOUN
ejpam-2013	273	3	shows	show	VERB
ejpam-2013	273	4	that	that	SCONJ
ejpam-2013	273	5	the	the	DET
ejpam-2013	273	6	baum	baum	NOUN
ejpam-2013	273	7	-	-	PUNCT
ejpam-2013	273	8	connes	conne	NOUN
ejpam-2013	273	9	conjecture	conjecture	VERB
ejpam-2013	273	10	under	under	ADP
ejpam-2013	273	11	base	base	NOUN
ejpam-2013	273	12	change	change	NOUN
ejpam-2013	273	13	takes	take	VERB
ejpam-2013	273	14	the	the	DET
ejpam-2013	273	15	base	base	NOUN
ejpam-2013	273	16	change	change	NOUN
ejpam-2013	273	17	’s	’s	PART
ejpam-2013	273	18	effect	effect	NOUN
ejpam-2013	273	19	on	on	ADP
ejpam-2013	273	20	the	the	DET
ejpam-2013	273	21	homology	homology	NOUN
ejpam-2013	273	22	group	group	NOUN
ejpam-2013	273	23	side	side	NOUN
ejpam-2013	273	24	to	to	ADP
ejpam-2013	273	25	the	the	DET
ejpam-2013	273	26	base	base	NOUN
ejpam-2013	273	27	change	change	NOUN
ejpam-2013	273	28	’s	’s	PART
ejpam-2013	273	29	effect	effect	NOUN
ejpam-2013	273	30	on	on	ADP
ejpam-2013	273	31	the	the	DET
ejpam-2013	273	32	k	k	NOUN
ejpam-2013	273	33	-	-	ADJ
ejpam-2013	273	34	theory	theory	NOUN
ejpam-2013	273	35	side	side	NOUN
ejpam-2013	273	36	,	,	PUNCT
ejpam-2013	273	37	i.e.	i.e.	X
ejpam-2013	273	38	the	the	DET
ejpam-2013	273	39	multiplication	multiplication	NOUN
ejpam-2013	273	40	between	between	ADP
ejpam-2013	273	41	the	the	DET
ejpam-2013	273	42	generator	generator	NOUN
ejpam-2013	273	43	of	of	ADP
ejpam-2013	273	44	the	the	DET
ejpam-2013	273	45	chamber	chamber	PROPN
ejpam-2013	273	46	homology	homology	NOUN
ejpam-2013	273	47	group	group	NOUN
ejpam-2013	273	48	for	for	ADP
ejpam-2013	273	49	sl(2	sl(2	PROPN
ejpam-2013	273	50	,	,	PUNCT
ejpam-2013	273	51	f	f	X
ejpam-2013	273	52	)	)	PUNCT
ejpam-2013	273	53	and	and	CCONJ
ejpam-2013	273	54	the	the	DET
ejpam-2013	273	55	residue	residue	NOUN
ejpam-2013	273	56	field	field	NOUN
ejpam-2013	273	57	degree	degree	NOUN
ejpam-2013	273	58	to	to	ADP
ejpam-2013	273	59	the	the	DET
ejpam-2013	273	60	multiplication	multiplication	NOUN
ejpam-2013	273	61	between	between	ADP
ejpam-2013	273	62	the	the	DET
ejpam-2013	273	63	k1	k1	NOUN
ejpam-2013	273	64	-	-	PUNCT
ejpam-2013	273	65	generator	generator	NOUN
ejpam-2013	273	66	of	of	ADP
ejpam-2013	273	67	the	the	DET
ejpam-2013	273	68	reduce	reduce	NOUN
ejpam-2013	273	69	c∗-algebra	c∗-algebra	PROPN
ejpam-2013	273	70	for	for	ADP
ejpam-2013	273	71	sl(2	sl(2	PROPN
ejpam-2013	273	72	,	,	PUNCT
ejpam-2013	273	73	f	f	X
ejpam-2013	273	74	)	)	PUNCT
ejpam-2013	273	75	by	by	ADP
ejpam-2013	273	76	the	the	DET
ejpam-2013	273	77	residue	residue	NOUN
ejpam-2013	273	78	field	field	NOUN
ejpam-2013	273	79	’s	’s	PART
ejpam-2013	273	80	degree	degree	NOUN
ejpam-2013	273	81	:	:	PUNCT
ejpam-2013	273	82	h1(sl(2	h1(sl(2	NOUN
ejpam-2013	273	83	,	,	PUNCT
ejpam-2013	273	84	e	e	NOUN
ejpam-2013	273	85	)	)	PUNCT
ejpam-2013	273	86	)	)	PUNCT
ejpam-2013	273	87	bc	bc	PROPN
ejpam-2013	273	88	�	�	PROPN
ejpam-2013	273	89	�	�	PROPN
ejpam-2013	273	90	µe	µe	ADP
ejpam-2013	273	91	1	1	NUM
ejpam-2013	273	92	//	//	NOUN
ejpam-2013	273	93	k1c∗r	k1c∗r	PROPN
ejpam-2013	274	1	sl(2	sl(2	PROPN
ejpam-2013	274	2	,	,	PUNCT
ejpam-2013	274	3	e	e	NOUN
ejpam-2013	274	4	)	)	PUNCT
ejpam-2013	274	5	k1(bc	k1(bc	PROPN
ejpam-2013	274	6	)	)	PUNCT
ejpam-2013	274	7	�	�	PROPN
ejpam-2013	274	8	�	�	PROPN
ejpam-2013	274	9	h1(sl(2	h1(sl(2	PROPN
ejpam-2013	274	10	,	,	PUNCT
ejpam-2013	274	11	f	f	NOUN
ejpam-2013	274	12	)	)	PUNCT
ejpam-2013	274	13	)	)	PUNCT
ejpam-2013	274	14	µf	µf	ADP
ejpam-2013	274	15	1	1	NUM
ejpam-2013	274	16	//	//	NOUN
ejpam-2013	274	17	k1c∗r	k1c∗r	PROPN
ejpam-2013	275	1	sl(2	sl(2	PROPN
ejpam-2013	275	2	,	,	PUNCT
ejpam-2013	275	3	f	f	X
ejpam-2013	275	4	)	)	PUNCT
ejpam-2013	275	5	c	c	PROPN
ejpam-2013	275	6	σ	σ	PROPN
ejpam-2013	275	7	◦	◦	PROPN
ejpam-2013	275	8	ne	ne	PROPN
ejpam-2013	275	9	/	/	SYM
ejpam-2013	275	10	f	f	PROPN
ejpam-2013	275	11	bc	bc	PROPN
ejpam-2013	275	12	�	�	PROPN
ejpam-2013	275	13	�	�	PROPN
ejpam-2013	275	14	µe	µe	ADP
ejpam-2013	275	15	1	1	NUM
ejpam-2013	275	16	//	//	NUM
ejpam-2013	275	17	α	α	PROPN
ejpam-2013	275	18	σ	σ	PROPN
ejpam-2013	275	19	◦	◦	PROPN
ejpam-2013	275	20	ne	ne	PROPN
ejpam-2013	275	21	/	/	SYM
ejpam-2013	275	22	f	f	PROPN
ejpam-2013	275	23	k1(bc	k1(bc	PROPN
ejpam-2013	275	24	)	)	PUNCT
ejpam-2013	275	25	�	�	PROPN
ejpam-2013	275	26	�	�	PROPN
ejpam-2013	275	27	f	f	PROPN
ejpam-2013	275	28	·	·	PUNCT
ejpam-2013	275	29	cσ	cσ	ADP
ejpam-2013	275	30	µf	µf	ADP
ejpam-2013	275	31	1	1	NUM
ejpam-2013	275	32	//	//	NUM
ejpam-2013	275	33	f	f	X
ejpam-2013	275	34	·	·	PUNCT
ejpam-2013	275	35	ασ	ασ	PROPN
ejpam-2013	275	36	.	.	PUNCT
ejpam-2013	276	1	references	reference	NOUN
ejpam-2013	276	2	54	54	NUM
ejpam-2013	276	3	references	reference	NOUN
ejpam-2013	276	4	[	[	X
ejpam-2013	276	5	1	1	NUM
ejpam-2013	276	6	]	]	X
ejpam-2013	276	7	p.	p.	PROPN
ejpam-2013	276	8	baum	baum	PROPN
ejpam-2013	276	9	,	,	PUNCT
ejpam-2013	276	10	n.	n.	NOUN
ejpam-2013	276	11	higson	higson	NOUN
ejpam-2013	276	12	,	,	PUNCT
ejpam-2013	276	13	and	and	CCONJ
ejpam-2013	276	14	r.	r.	PROPN
ejpam-2013	276	15	plymen	plymen	PROPN
ejpam-2013	276	16	.	.	PUNCT
ejpam-2013	277	1	equivariant	equivariant	PROPN
ejpam-2013	277	2	homology	homology	PROPN
ejpam-2013	277	3	for	for	ADP
ejpam-2013	277	4	sl(2	sl(2	PROPN
ejpam-2013	277	5	)	)	PUNCT
ejpam-2013	277	6	of	of	ADP
ejpam-2013	277	7	a	a	DET
ejpam-2013	277	8	p	p	ADJ
ejpam-2013	277	9	-	-	PUNCT
ejpam-2013	277	10	adic	adic	ADJ
ejpam-2013	277	11	field	field	NOUN
ejpam-2013	277	12	.	.	PUNCT
ejpam-2013	278	1	in	in	ADP
ejpam-2013	278	2	index	index	NOUN
ejpam-2013	278	3	theory	theory	NOUN
ejpam-2013	278	4	and	and	CCONJ
ejpam-2013	278	5	operator	operator	NOUN
ejpam-2013	278	6	algebras	algebra	NOUN
ejpam-2013	278	7	,	,	PUNCT
ejpam-2013	278	8	volume	volume	NOUN
ejpam-2013	278	9	148	148	NUM
ejpam-2013	278	10	of	of	ADP
ejpam-2013	278	11	contemporary	contemporary	ADJ
ejpam-2013	278	12	mathematics	mathematic	NOUN
ejpam-2013	278	13	,	,	PUNCT
ejpam-2013	278	14	pages	page	NOUN
ejpam-2013	278	15	1–18	1–18	NUM
ejpam-2013	278	16	.	.	PUNCT
ejpam-2013	279	1	american	american	PROPN
ejpam-2013	279	2	mathematical	mathematical	PROPN
ejpam-2013	279	3	society	society	NOUN
ejpam-2013	279	4	,	,	PUNCT
ejpam-2013	279	5	providence	providence	NOUN
ejpam-2013	279	6	,	,	PUNCT
ejpam-2013	279	7	rhode	rhode	NOUN
ejpam-2013	279	8	island	island	NOUN
ejpam-2013	279	9	,	,	PUNCT
ejpam-2013	279	10	1993	1993	NUM
ejpam-2013	279	11	.	.	PUNCT
ejpam-2013	280	1	[	[	X
ejpam-2013	280	2	2	2	NUM
ejpam-2013	280	3	]	]	PUNCT
ejpam-2013	280	4	a.	a.	NOUN
ejpam-2013	280	5	borel	borel	PROPN
ejpam-2013	280	6	and	and	CCONJ
ejpam-2013	280	7	w.	w.	PROPN
ejpam-2013	280	8	casselman	casselman	PROPN
ejpam-2013	280	9	,	,	PUNCT
ejpam-2013	280	10	editors	editor	NOUN
ejpam-2013	280	11	.	.	PUNCT
ejpam-2013	281	1	automorphic	automorphic	ADJ
ejpam-2013	281	2	forms	form	NOUN
ejpam-2013	281	3	,	,	PUNCT
ejpam-2013	281	4	representations	representation	NOUN
ejpam-2013	281	5	,	,	PUNCT
ejpam-2013	281	6	and	and	CCONJ
ejpam-2013	281	7	l	l	NOUN
ejpam-2013	281	8	-	-	NOUN
ejpam-2013	281	9	functions	function	NOUN
ejpam-2013	281	10	.	.	PUNCT
ejpam-2013	282	1	part	part	NOUN
ejpam-2013	282	2	2	2	NUM
ejpam-2013	282	3	.	.	PUNCT
ejpam-2013	282	4	proceedings	proceeding	NOUN
ejpam-2013	282	5	of	of	ADP
ejpam-2013	282	6	symposia	symposia	NOUN
ejpam-2013	282	7	in	in	ADP
ejpam-2013	282	8	pure	pure	ADJ
ejpam-2013	282	9	mathematics	mathematic	NOUN
ejpam-2013	282	10	,	,	PUNCT
ejpam-2013	282	11	xxxiii	xxxiii	PROPN
ejpam-2013	282	12	.	.	PUNCT
ejpam-2013	283	1	american	american	PROPN
ejpam-2013	283	2	mathematical	mathematical	PROPN
ejpam-2013	283	3	society	society	NOUN
ejpam-2013	283	4	,	,	PUNCT
ejpam-2013	283	5	providence	providence	NOUN
ejpam-2013	283	6	,	,	PUNCT
ejpam-2013	283	7	rhode	rhode	NOUN
ejpam-2013	283	8	island	island	NOUN
ejpam-2013	283	9	,	,	PUNCT
ejpam-2013	283	10	1979	1979	NUM
ejpam-2013	283	11	.	.	PUNCT
ejpam-2013	284	1	[	[	X
ejpam-2013	284	2	3	3	X
ejpam-2013	284	3	]	]	PUNCT
ejpam-2013	284	4	k.	k.	PROPN
ejpam-2013	284	5	brown	brown	PROPN
ejpam-2013	284	6	.	.	PUNCT
ejpam-2013	285	1	buildings	building	NOUN
ejpam-2013	285	2	.	.	PUNCT
ejpam-2013	286	1	springer	springer	NOUN
ejpam-2013	286	2	-	-	PUNCT
ejpam-2013	286	3	verlag	verlag	PROPN
ejpam-2013	286	4	,	,	PUNCT
ejpam-2013	286	5	new	new	PROPN
ejpam-2013	286	6	york	york	PROPN
ejpam-2013	286	7	,	,	PUNCT
ejpam-2013	286	8	new	new	PROPN
ejpam-2013	286	9	york	york	PROPN
ejpam-2013	286	10	,	,	PUNCT
ejpam-2013	286	11	1989	1989	NUM
ejpam-2013	286	12	.	.	PUNCT
ejpam-2013	287	1	[	[	X
ejpam-2013	287	2	4	4	X
ejpam-2013	287	3	]	]	X
ejpam-2013	287	4	w.	w.	PROPN
ejpam-2013	287	5	fulton	fulton	PROPN
ejpam-2013	287	6	and	and	CCONJ
ejpam-2013	287	7	j.	j.	PROPN
ejpam-2013	287	8	harris	harris	PROPN
ejpam-2013	287	9	.	.	PUNCT
ejpam-2013	288	1	representation	representation	NOUN
ejpam-2013	288	2	theory	theory	NOUN
ejpam-2013	288	3	,	,	PUNCT
ejpam-2013	288	4	volume	volume	NOUN
ejpam-2013	288	5	129	129	NUM
ejpam-2013	288	6	of	of	ADP
ejpam-2013	288	7	graduate	graduate	ADJ
ejpam-2013	288	8	texts	text	NOUN
ejpam-2013	288	9	in	in	ADP
ejpam-2013	288	10	mathematics	mathematic	NOUN
ejpam-2013	288	11	.	.	PUNCT
ejpam-2013	289	1	springer	springer	NOUN
ejpam-2013	289	2	-	-	PUNCT
ejpam-2013	289	3	verlag	verlag	PROPN
ejpam-2013	289	4	,	,	PUNCT
ejpam-2013	289	5	new	new	PROPN
ejpam-2013	289	6	york	york	PROPN
ejpam-2013	289	7	,	,	PUNCT
ejpam-2013	289	8	1991	1991	NUM
ejpam-2013	289	9	.	.	PUNCT
ejpam-2013	290	1	a	a	DET
ejpam-2013	290	2	first	first	ADJ
ejpam-2013	290	3	course	course	NOUN
ejpam-2013	290	4	,	,	PUNCT
ejpam-2013	290	5	readings	reading	NOUN
ejpam-2013	290	6	in	in	ADP
ejpam-2013	290	7	mathematics	mathematic	NOUN
ejpam-2013	290	8	.	.	PUNCT
ejpam-2013	291	1	[	[	X
ejpam-2013	291	2	5	5	NUM
ejpam-2013	291	3	]	]	X
ejpam-2013	291	4	r.l	r.l	PROPN
ejpam-2013	291	5	.	.	PROPN
ejpam-2013	291	6	lipsman	lipsman	PROPN
ejpam-2013	291	7	.	.	PUNCT
ejpam-2013	292	1	group	group	NOUN
ejpam-2013	292	2	representations	representation	NOUN
ejpam-2013	292	3	,	,	PUNCT
ejpam-2013	292	4	volume	volume	NOUN
ejpam-2013	292	5	388	388	NUM
ejpam-2013	292	6	of	of	ADP
ejpam-2013	292	7	lecture	lecture	NOUN
ejpam-2013	292	8	notes	note	NOUN
ejpam-2013	292	9	in	in	ADP
ejpam-2013	292	10	mathematics	mathematic	NOUN
ejpam-2013	292	11	.	.	PUNCT
ejpam-2013	293	1	springerverlag	springerverlag	PROPN
ejpam-2013	293	2	,	,	PUNCT
ejpam-2013	293	3	berlin	berlin	PROPN
ejpam-2013	293	4	,	,	PUNCT
ejpam-2013	293	5	germany	germany	PROPN
ejpam-2013	293	6	,	,	PUNCT
ejpam-2013	293	7	1974	1974	NUM
ejpam-2013	293	8	.	.	PUNCT
ejpam-2013	294	1	a	a	DET
ejpam-2013	294	2	survey	survey	NOUN
ejpam-2013	294	3	of	of	ADP
ejpam-2013	294	4	some	some	DET
ejpam-2013	294	5	current	current	ADJ
ejpam-2013	294	6	topics	topic	NOUN
ejpam-2013	294	7	.	.	PUNCT
ejpam-2013	295	1	[	[	X
ejpam-2013	295	2	6	6	NUM
ejpam-2013	295	3	]	]	PUNCT
ejpam-2013	295	4	s.	s.	PROPN
ejpam-2013	295	5	mendes	mendes	PROPN
ejpam-2013	295	6	and	and	CCONJ
ejpam-2013	295	7	r.	r.	PROPN
ejpam-2013	295	8	plymen	plymen	PROPN
ejpam-2013	295	9	.	.	PUNCT
ejpam-2013	296	1	base	base	NOUN
ejpam-2013	296	2	change	change	NOUN
ejpam-2013	296	3	and	and	CCONJ
ejpam-2013	296	4	k	k	NOUN
ejpam-2013	296	5	-	-	NOUN
ejpam-2013	296	6	theory	theory	NOUN
ejpam-2013	296	7	for	for	ADP
ejpam-2013	296	8	gl(n	gl(n	NUM
ejpam-2013	296	9	)	)	PUNCT
ejpam-2013	296	10	.	.	PUNCT
ejpam-2013	297	1	journal	journal	PROPN
ejpam-2013	297	2	of	of	ADP
ejpam-2013	297	3	noncommutative	noncommutative	PROPN
ejpam-2013	297	4	geometry	geometry	NOUN
ejpam-2013	297	5	,	,	PUNCT
ejpam-2013	297	6	1(3):311–331	1(3):311–331	NUM
ejpam-2013	297	7	,	,	PUNCT
ejpam-2013	297	8	2007	2007	NUM
ejpam-2013	297	9	.	.	PUNCT
ejpam-2013	298	1	[	[	X
ejpam-2013	298	2	7	7	X
ejpam-2013	298	3	]	]	X
ejpam-2013	298	4	j.p	j.p	PROPN
ejpam-2013	298	5	.	.	PROPN
ejpam-2013	298	6	serre	serre	PROPN
ejpam-2013	298	7	.	.	PUNCT
ejpam-2013	298	8	trees	tree	NOUN
ejpam-2013	298	9	.	.	PUNCT
ejpam-2013	299	1	springer	springer	NOUN
ejpam-2013	299	2	-	-	PUNCT
ejpam-2013	299	3	verlag	verlag	PROPN
ejpam-2013	299	4	,	,	PUNCT
ejpam-2013	299	5	new	new	PROPN
ejpam-2013	299	6	york	york	PROPN
ejpam-2013	299	7	,	,	PUNCT
ejpam-2013	299	8	march	march	PROPN
ejpam-2013	299	9	2003	2003	NUM
ejpam-2013	299	10	.	.	PUNCT
ejpam-2013	300	1	[	[	X
ejpam-2013	300	2	8	8	NUM
ejpam-2013	300	3	]	]	X
ejpam-2013	300	4	a.j	a.j	PROPN
ejpam-2013	300	5	.	.	PROPN
ejpam-2013	300	6	silberger	silberger	PROPN
ejpam-2013	300	7	.	.	PUNCT
ejpam-2013	301	1	introduction	introduction	NOUN
ejpam-2013	301	2	to	to	PART
ejpam-2013	301	3	harmonic	harmonic	VERB
ejpam-2013	301	4	analysis	analysis	NOUN
ejpam-2013	301	5	on	on	ADP
ejpam-2013	301	6	reductive	reductive	ADJ
ejpam-2013	301	7	p	p	ADJ
ejpam-2013	301	8	-	-	PUNCT
ejpam-2013	301	9	adic	adic	ADJ
ejpam-2013	301	10	groups	group	NOUN
ejpam-2013	301	11	,	,	PUNCT
ejpam-2013	301	12	volume	volume	NOUN
ejpam-2013	301	13	23	23	NUM
ejpam-2013	301	14	of	of	ADP
ejpam-2013	301	15	mathematical	mathematical	ADJ
ejpam-2013	301	16	notes	note	NOUN
ejpam-2013	301	17	.	.	PUNCT
ejpam-2013	302	1	princeton	princeton	PROPN
ejpam-2013	302	2	university	university	PROPN
ejpam-2013	302	3	press	press	PROPN
ejpam-2013	302	4	,	,	PUNCT
ejpam-2013	302	5	princeton	princeton	PROPN
ejpam-2013	302	6	,	,	PUNCT
ejpam-2013	302	7	new	new	PROPN
ejpam-2013	302	8	jersey	jersey	PROPN
ejpam-2013	302	9	,	,	PUNCT
ejpam-2013	302	10	1979	1979	NUM
ejpam-2013	302	11	.	.	PUNCT
ejpam-2013	303	1	based	base	VERB
ejpam-2013	303	2	on	on	ADP
ejpam-2013	303	3	lectures	lecture	NOUN
ejpam-2013	303	4	by	by	ADP
ejpam-2013	303	5	harish	harish	PROPN
ejpam-2013	303	6	-	-	PUNCT
ejpam-2013	303	7	chandra	chandra	PROPN
ejpam-2013	303	8	at	at	ADP
ejpam-2013	303	9	the	the	DET
ejpam-2013	303	10	institute	institute	NOUN
ejpam-2013	303	11	for	for	ADP
ejpam-2013	303	12	advanced	advanced	ADJ
ejpam-2013	303	13	study	study	NOUN
ejpam-2013	303	14	,	,	PUNCT
ejpam-2013	303	15	1971	1971	NUM
ejpam-2013	303	16	-	-	SYM
ejpam-2013	303	17	1973	1973	NUM
ejpam-2013	303	18	.	.	PUNCT
ejpam-2013	304	1	[	[	X
ejpam-2013	304	2	9	9	NUM
ejpam-2013	304	3	]	]	X
ejpam-2013	304	4	g.	g.	PROPN
ejpam-2013	304	5	van	van	PROPN
ejpam-2013	304	6	dijk	dijk	PROPN
ejpam-2013	304	7	.	.	PUNCT
ejpam-2013	305	1	harish	harish	PROPN
ejpam-2013	305	2	-	-	PUNCT
ejpam-2013	305	3	chandra	chandra	PROPN
ejpam-2013	305	4	harmonic	harmonic	VERB
ejpam-2013	305	5	analysis	analysis	NOUN
ejpam-2013	305	6	on	on	ADP
ejpam-2013	305	7	reductive	reductive	ADJ
ejpam-2013	305	8	p	p	ADJ
ejpam-2013	305	9	-	-	PUNCT
ejpam-2013	305	10	adic	adic	ADJ
ejpam-2013	305	11	groups	group	NOUN
ejpam-2013	305	12	.	.	PUNCT
ejpam-2013	306	1	lecture	lecture	NOUN
ejpam-2013	306	2	notes	note	NOUN
ejpam-2013	306	3	in	in	ADP
ejpam-2013	306	4	mathematics	mathematic	NOUN
ejpam-2013	306	5	,	,	PUNCT
ejpam-2013	306	6	vol	vol	NOUN
ejpam-2013	306	7	.	.	PROPN
ejpam-2013	307	1	162	162	NUM
ejpam-2013	307	2	.	.	PUNCT
ejpam-2013	308	1	springer	springer	NOUN
ejpam-2013	308	2	-	-	PUNCT
ejpam-2013	308	3	verlag	verlag	PROPN
ejpam-2013	308	4	,	,	PUNCT
ejpam-2013	308	5	berlin	berlin	PROPN
ejpam-2013	308	6	,	,	PUNCT
ejpam-2013	308	7	germany	germany	PROPN
ejpam-2013	308	8	,	,	PUNCT
ejpam-2013	308	9	1970	1970	NUM
ejpam-2013	308	10	.	.	PUNCT
ejpam-2013	309	1	[	[	X
ejpam-2013	309	2	10	10	NUM
ejpam-2013	309	3	]	]	PUNCT
ejpam-2013	309	4	a.	a.	NOUN
ejpam-2013	309	5	weil	weil	PROPN
ejpam-2013	309	6	.	.	PUNCT
ejpam-2013	310	1	basic	basic	ADJ
ejpam-2013	310	2	number	number	NOUN
ejpam-2013	310	3	theory	theory	NOUN
ejpam-2013	310	4	.	.	PUNCT
ejpam-2013	311	1	springer	springer	PROPN
ejpam-2013	311	2	,	,	PUNCT
ejpam-2013	311	3	london	london	PROPN
ejpam-2013	311	4	,	,	PUNCT
ejpam-2013	311	5	united	united	ADJ
ejpam-2013	311	6	kingdom	kingdom	PROPN
ejpam-2013	311	7	,	,	PUNCT
ejpam-2013	311	8	1995	1995	NUM
ejpam-2013	311	9	.	.	PUNCT
