id	sid	tid	token	lemma	pos
1r66j100t4s	1	1	the	the	DET
1r66j100t4s	1	2	study	study	NOUN
1r66j100t4s	1	3	of	of	ADP
1r66j100t4s	1	4	root	root	NOUN
1r66j100t4s	1	5	systems	system	NOUN
1r66j100t4s	1	6	attached	attach	VERB
1r66j100t4s	1	7	to	to	ADP
1r66j100t4s	1	8	groupoids	groupoid	NOUN
1r66j100t4s	1	9	that	that	PRON
1r66j100t4s	1	10	resemble	resemble	VERB
1r66j100t4s	1	11	coxeter	coxeter	NOUN
1r66j100t4s	1	12	groups	group	NOUN
1r66j100t4s	1	13	has	have	AUX
1r66j100t4s	1	14	seen	see	VERB
1r66j100t4s	1	15	many	many	ADJ
1r66j100t4s	1	16	recent	recent	ADJ
1r66j100t4s	1	17	developments	development	NOUN
1r66j100t4s	1	18	.	.	PUNCT
1r66j100t4s	2	1	we	we	PRON
1r66j100t4s	2	2	take	take	VERB
1r66j100t4s	2	3	the	the	DET
1r66j100t4s	2	4	notion	notion	NOUN
1r66j100t4s	2	5	of	of	ADP
1r66j100t4s	2	6	signed	sign	VERB
1r66j100t4s	2	7	groupoid	groupoid	NOUN
1r66j100t4s	2	8	set	set	VERB
1r66j100t4s	2	9	,	,	PUNCT
1r66j100t4s	2	10	introduced	introduce	VERB
1r66j100t4s	2	11	by	by	ADP
1r66j100t4s	2	12	dyer	dyer	NOUN
1r66j100t4s	2	13	to	to	ADP
1r66j100t4s	2	14	abstract	abstract	ADJ
1r66j100t4s	2	15	primitive	primitive	ADJ
1r66j100t4s	2	16	features	feature	NOUN
1r66j100t4s	2	17	of	of	ADP
1r66j100t4s	2	18	such	such	ADJ
1r66j100t4s	2	19	groupoids	groupoid	NOUN
1r66j100t4s	2	20	with	with	ADP
1r66j100t4s	2	21	root	root	NOUN
1r66j100t4s	2	22	systems	system	NOUN
1r66j100t4s	2	23	,	,	PUNCT
1r66j100t4s	2	24	as	as	SCONJ
1r66j100t4s	2	25	our	our	PRON
1r66j100t4s	2	26	general	general	ADJ
1r66j100t4s	2	27	framework.the	framework.the	DET
1r66j100t4s	2	28	main	main	ADJ
1r66j100t4s	2	29	purpose	purpose	NOUN
1r66j100t4s	2	30	of	of	ADP
1r66j100t4s	2	31	this	this	DET
1r66j100t4s	2	32	thesis	thesis	NOUN
1r66j100t4s	2	33	is	be	AUX
1r66j100t4s	2	34	to	to	PART
1r66j100t4s	2	35	discuss	discuss	VERB
1r66j100t4s	2	36	realizations	realization	NOUN
1r66j100t4s	2	37	of	of	ADP
1r66j100t4s	2	38	root	root	NOUN
1r66j100t4s	2	39	systems	system	NOUN
1r66j100t4s	2	40	of	of	ADP
1r66j100t4s	2	41	signed	sign	VERB
1r66j100t4s	2	42	groupoid	groupoid	NOUN
1r66j100t4s	2	43	sets	set	NOUN
1r66j100t4s	2	44	in	in	ADP
1r66j100t4s	2	45	real	real	ADJ
1r66j100t4s	2	46	vector	vector	NOUN
1r66j100t4s	2	47	spaces	space	NOUN
1r66j100t4s	2	48	.	.	PUNCT
1r66j100t4s	3	1	inversion	inversion	NOUN
1r66j100t4s	3	2	sets	set	NOUN
1r66j100t4s	3	3	and	and	CCONJ
1r66j100t4s	3	4	the	the	DET
1r66j100t4s	3	5	weak	weak	ADJ
1r66j100t4s	3	6	and	and	CCONJ
1r66j100t4s	3	7	dominance	dominance	NOUN
1r66j100t4s	3	8	preorders	preorder	NOUN
1r66j100t4s	3	9	play	play	VERB
1r66j100t4s	3	10	a	a	DET
1r66j100t4s	3	11	major	major	ADJ
1r66j100t4s	3	12	role	role	NOUN
1r66j100t4s	3	13	,	,	PUNCT
1r66j100t4s	3	14	and	and	CCONJ
1r66j100t4s	3	15	we	we	PRON
1r66j100t4s	3	16	discuss	discuss	VERB
1r66j100t4s	3	17	realizations	realization	NOUN
1r66j100t4s	3	18	in	in	ADP
1r66j100t4s	3	19	relation	relation	NOUN
1r66j100t4s	3	20	to	to	ADP
1r66j100t4s	3	21	these	these	DET
1r66j100t4s	3	22	notions	notion	NOUN
1r66j100t4s	3	23	.	.	PUNCT
1r66j100t4s	4	1	compressed	compressed	ADJ
1r66j100t4s	4	2	signed	sign	VERB
1r66j100t4s	4	3	groupoid	groupoid	NOUN
1r66j100t4s	4	4	sets	set	NOUN
1r66j100t4s	4	5	,	,	PUNCT
1r66j100t4s	4	6	for	for	ADP
1r66j100t4s	4	7	which	which	PRON
1r66j100t4s	4	8	the	the	DET
1r66j100t4s	4	9	dominance	dominance	NOUN
1r66j100t4s	4	10	preorder	preorder	NOUN
1r66j100t4s	4	11	is	be	AUX
1r66j100t4s	4	12	a	a	DET
1r66j100t4s	4	13	partial	partial	ADJ
1r66j100t4s	4	14	order	order	NOUN
1r66j100t4s	4	15	,	,	PUNCT
1r66j100t4s	4	16	are	be	AUX
1r66j100t4s	4	17	particularly	particularly	ADV
1r66j100t4s	4	18	important	important	ADJ
1r66j100t4s	4	19	and	and	CCONJ
1r66j100t4s	4	20	we	we	PRON
1r66j100t4s	4	21	give	give	VERB
1r66j100t4s	4	22	a	a	DET
1r66j100t4s	4	23	construction	construction	NOUN
1r66j100t4s	4	24	attaching	attach	VERB
1r66j100t4s	4	25	a	a	DET
1r66j100t4s	4	26	compressed	compressed	ADJ
1r66j100t4s	4	27	realized	realize	VERB
1r66j100t4s	4	28	signed	sign	VERB
1r66j100t4s	4	29	groupoid	groupoid	NOUN
1r66j100t4s	4	30	set	set	VERB
1r66j100t4s	4	31	to	to	ADP
1r66j100t4s	4	32	an	an	DET
1r66j100t4s	4	33	uncompressed	uncompressed	ADJ
1r66j100t4s	4	34	one	one	NUM
1r66j100t4s	4	35	under	under	ADP
1r66j100t4s	4	36	certain	certain	ADJ
1r66j100t4s	4	37	hypotheses	hypothesis	NOUN
1r66j100t4s	4	38	.	.	PUNCT
1r66j100t4s	5	1	in	in	ADP
1r66j100t4s	5	2	some	some	DET
1r66j100t4s	5	3	cases	case	NOUN
1r66j100t4s	5	4	,	,	PUNCT
1r66j100t4s	5	5	we	we	PRON
1r66j100t4s	5	6	establish	establish	VERB
1r66j100t4s	5	7	a	a	DET
1r66j100t4s	5	8	correspondence	correspondence	NOUN
1r66j100t4s	5	9	between	between	ADP
1r66j100t4s	5	10	the	the	DET
1r66j100t4s	5	11	inversion	inversion	NOUN
1r66j100t4s	5	12	sets	set	NOUN
1r66j100t4s	5	13	and	and	CCONJ
1r66j100t4s	5	14	hyperplanes	hyperplane	NOUN
1r66j100t4s	5	15	that	that	PRON
1r66j100t4s	5	16	separate	separate	VERB
1r66j100t4s	5	17	the	the	DET
1r66j100t4s	5	18	roots	root	NOUN
1r66j100t4s	5	19	of	of	ADP
1r66j100t4s	5	20	a	a	DET
1r66j100t4s	5	21	realization	realization	NOUN
1r66j100t4s	5	22	of	of	ADP
1r66j100t4s	5	23	a	a	DET
1r66j100t4s	5	24	compressed	compressed	ADJ
1r66j100t4s	5	25	signed	sign	VERB
1r66j100t4s	5	26	groupoid	groupoid	NOUN
1r66j100t4s	5	27	set	set	VERB
1r66j100t4s	5	28	.	.	PUNCT
1r66j100t4s	6	1	we	we	PRON
1r66j100t4s	6	2	then	then	ADV
1r66j100t4s	6	3	focus	focus	VERB
1r66j100t4s	6	4	on	on	ADP
1r66j100t4s	6	5	the	the	DET
1r66j100t4s	6	6	groupoids	groupoid	NOUN
1r66j100t4s	6	7	defined	define	VERB
1r66j100t4s	6	8	by	by	ADP
1r66j100t4s	6	9	brink	brink	PROPN
1r66j100t4s	6	10	and	and	CCONJ
1r66j100t4s	6	11	howlett	howlett	PROPN
1r66j100t4s	6	12	in	in	ADP
1r66j100t4s	6	13	their	their	PRON
1r66j100t4s	6	14	study	study	NOUN
1r66j100t4s	6	15	of	of	ADP
1r66j100t4s	6	16	normalizers	normalizer	NOUN
1r66j100t4s	6	17	of	of	ADP
1r66j100t4s	6	18	parabolic	parabolic	ADJ
1r66j100t4s	6	19	subgroups	subgroup	NOUN
1r66j100t4s	6	20	of	of	ADP
1r66j100t4s	6	21	coxeter	coxeter	NOUN
1r66j100t4s	6	22	groups	group	NOUN
1r66j100t4s	6	23	.	.	PUNCT
1r66j100t4s	7	1	the	the	DET
1r66j100t4s	7	2	strongest	strong	ADJ
1r66j100t4s	7	3	results	result	NOUN
1r66j100t4s	7	4	we	we	PRON
1r66j100t4s	7	5	obtain	obtain	VERB
1r66j100t4s	7	6	hold	hold	NOUN
1r66j100t4s	7	7	when	when	SCONJ
1r66j100t4s	7	8	the	the	DET
1r66j100t4s	7	9	coxeter	coxeter	NOUN
1r66j100t4s	7	10	group	group	NOUN
1r66j100t4s	7	11	is	be	AUX
1r66j100t4s	7	12	finite	finite	ADJ
1r66j100t4s	7	13	,	,	PUNCT
1r66j100t4s	7	14	in	in	ADP
1r66j100t4s	7	15	which	which	DET
1r66j100t4s	7	16	case	case	NOUN
1r66j100t4s	7	17	we	we	PRON
1r66j100t4s	7	18	give	give	VERB
1r66j100t4s	7	19	an	an	DET
1r66j100t4s	7	20	isomorphism	isomorphism	NOUN
1r66j100t4s	7	21	between	between	ADP
1r66j100t4s	7	22	a	a	DET
1r66j100t4s	7	23	realization	realization	NOUN
1r66j100t4s	7	24	of	of	ADP
1r66j100t4s	7	25	the	the	DET
1r66j100t4s	7	26	universal	universal	ADJ
1r66j100t4s	7	27	covering	covering	NOUN
1r66j100t4s	7	28	of	of	ADP
1r66j100t4s	7	29	the	the	DET
1r66j100t4s	7	30	corresponding	corresponding	ADJ
1r66j100t4s	7	31	signed	sign	VERB
1r66j100t4s	7	32	groupoid	groupoid	NOUN
1r66j100t4s	7	33	set	set	VERB
1r66j100t4s	7	34	and	and	CCONJ
1r66j100t4s	7	35	a	a	DET
1r66j100t4s	7	36	realized	realize	VERB
1r66j100t4s	7	37	signed	sign	VERB
1r66j100t4s	7	38	groupoid	groupoid	NOUN
1r66j100t4s	7	39	set	set	VERB
1r66j100t4s	7	40	arising	arise	VERB
1r66j100t4s	7	41	from	from	ADP
1r66j100t4s	7	42	a	a	DET
1r66j100t4s	7	43	simplicial	simplicial	ADJ
1r66j100t4s	7	44	hyperplane	hyperplane	NOUN
1r66j100t4s	7	45	arrangement	arrangement	NOUN
1r66j100t4s	7	46	.	.	PUNCT