id	sid	tid	token	lemma	pos
w6634171p0d	1	1	it	it	PRON
w6634171p0d	1	2	has	have	AUX
w6634171p0d	1	3	been	be	AUX
w6634171p0d	1	4	conjectured	conjecture	VERB
w6634171p0d	1	5	that	that	SCONJ
w6634171p0d	1	6	there	there	PRON
w6634171p0d	1	7	exists	exist	VERB
w6634171p0d	1	8	a	a	DET
w6634171p0d	1	9	classification	classification	NOUN
w6634171p0d	1	10	of	of	ADP
w6634171p0d	1	11	regular	regular	ADJ
w6634171p0d	1	12	cluster	cluster	NOUN
w6634171p0d	1	13	structures	structure	NOUN
w6634171p0d	1	14	on	on	ADP
w6634171p0d	1	15	simple	simple	ADJ
w6634171p0d	1	16	complex	complex	ADJ
w6634171p0d	1	17	lie	lie	NOUN
w6634171p0d	1	18	groups	group	NOUN
w6634171p0d	1	19	that	that	PRON
w6634171p0d	1	20	is	be	AUX
w6634171p0d	1	21	parallel	parallel	ADJ
w6634171p0d	1	22	to	to	ADP
w6634171p0d	1	23	the	the	DET
w6634171p0d	1	24	belavin	belavin	PROPN
w6634171p0d	1	25	-	-	PUNCT
w6634171p0d	1	26	drinfeld	drinfeld	PROPN
w6634171p0d	1	27	classification	classification	NOUN
w6634171p0d	1	28	of	of	ADP
w6634171p0d	1	29	poisson	poisson	NOUN
w6634171p0d	1	30	-	-	PUNCT
w6634171p0d	1	31	lie	lie	NOUN
w6634171p0d	1	32	brackets	bracket	NOUN
w6634171p0d	1	33	.	.	PUNCT
w6634171p0d	2	1	on	on	ADP
w6634171p0d	2	2	the	the	DET
w6634171p0d	2	3	general	general	ADJ
w6634171p0d	2	4	linear	linear	PROPN
w6634171p0d	2	5	group	group	NOUN
w6634171p0d	2	6	one	one	NUM
w6634171p0d	2	7	of	of	ADP
w6634171p0d	2	8	these	these	DET
w6634171p0d	2	9	cluster	cluster	NOUN
w6634171p0d	2	10	structures	structure	NOUN
w6634171p0d	2	11	corresponds	correspond	VERB
w6634171p0d	2	12	to	to	ADP
w6634171p0d	2	13	the	the	DET
w6634171p0d	2	14	cremmer	cremmer	PROPN
w6634171p0d	2	15	-	-	PUNCT
w6634171p0d	2	16	gervais	gervais	PROPN
w6634171p0d	2	17	poisson	poisson	PROPN
w6634171p0d	2	18	bracket	bracket	NOUN
w6634171p0d	2	19	.	.	PUNCT
w6634171p0d	3	1	this	this	DET
w6634171p0d	3	2	dissertation	dissertation	NOUN
w6634171p0d	3	3	is	be	AUX
w6634171p0d	3	4	dedicated	dedicate	VERB
w6634171p0d	3	5	to	to	ADP
w6634171p0d	3	6	the	the	DET
w6634171p0d	3	7	study	study	NOUN
w6634171p0d	3	8	of	of	ADP
w6634171p0d	3	9	a	a	DET
w6634171p0d	3	10	natural	natural	ADJ
w6634171p0d	3	11	analogue	analogue	NOUN
w6634171p0d	3	12	of	of	ADP
w6634171p0d	3	13	this	this	DET
w6634171p0d	3	14	cluster	cluster	NOUN
w6634171p0d	3	15	structure	structure	NOUN
w6634171p0d	3	16	in	in	ADP
w6634171p0d	3	17	the	the	DET
w6634171p0d	3	18	rings	ring	NOUN
w6634171p0d	3	19	of	of	ADP
w6634171p0d	3	20	regular	regular	ADJ
w6634171p0d	3	21	functions	function	NOUN
w6634171p0d	3	22	on	on	ADP
w6634171p0d	3	23	affine	affine	ADJ
w6634171p0d	3	24	spaces	space	NOUN
w6634171p0d	3	25	of	of	ADP
w6634171p0d	3	26	matrices	matrix	NOUN
w6634171p0d	3	27	.	.	PUNCT
w6634171p0d	4	1	an	an	DET
w6634171p0d	4	2	outline	outline	NOUN
w6634171p0d	4	3	is	be	AUX
w6634171p0d	4	4	given	give	VERB
w6634171p0d	4	5	for	for	ADP
w6634171p0d	4	6	the	the	DET
w6634171p0d	4	7	construction	construction	NOUN
w6634171p0d	4	8	of	of	ADP
w6634171p0d	4	9	an	an	DET
w6634171p0d	4	10	initial	initial	ADJ
w6634171p0d	4	11	cluster	cluster	NOUN
w6634171p0d	4	12	for	for	ADP
w6634171p0d	4	13	a	a	DET
w6634171p0d	4	14	cluster	cluster	NOUN
w6634171p0d	4	15	structure	structure	NOUN
w6634171p0d	4	16	on	on	ADP
w6634171p0d	4	17	the	the	DET
w6634171p0d	4	18	space	space	NOUN
w6634171p0d	4	19	of	of	ADP
w6634171p0d	4	20	rectangular	rectangular	ADJ
w6634171p0d	4	21	n	n	X
w6634171p0d	4	22	by	by	ADP
w6634171p0d	4	23	m	m	NOUN
w6634171p0d	4	24	matrices	matrix	NOUN
w6634171p0d	4	25	that	that	PRON
w6634171p0d	4	26	is	be	AUX
w6634171p0d	4	27	compatible	compatible	ADJ
w6634171p0d	4	28	with	with	ADP
w6634171p0d	4	29	the	the	DET
w6634171p0d	4	30	restriction	restriction	NOUN
w6634171p0d	4	31	of	of	ADP
w6634171p0d	4	32	the	the	DET
w6634171p0d	4	33	cremmer	cremmer	PROPN
w6634171p0d	4	34	-	-	PUNCT
w6634171p0d	4	35	gervais	gervais	PROPN
w6634171p0d	4	36	poisson	poisson	PROPN
w6634171p0d	4	37	bracket	bracket	NOUN
w6634171p0d	4	38	on	on	ADP
w6634171p0d	4	39	the	the	DET
w6634171p0d	4	40	general	general	ADJ
w6634171p0d	4	41	linear	linear	PROPN
w6634171p0d	4	42	group	group	NOUN
w6634171p0d	4	43	.	.	PUNCT
w6634171p0d	5	1	combinatorial	combinatorial	ADJ
w6634171p0d	5	2	conditions	condition	NOUN
w6634171p0d	5	3	are	be	AUX
w6634171p0d	5	4	given	give	VERB
w6634171p0d	5	5	for	for	ADP
w6634171p0d	5	6	when	when	SCONJ
w6634171p0d	5	7	there	there	PRON
w6634171p0d	5	8	exists	exist	VERB
w6634171p0d	5	9	a	a	DET
w6634171p0d	5	10	sequence	sequence	NOUN
w6634171p0d	5	11	of	of	ADP
w6634171p0d	5	12	cluster	cluster	NOUN
w6634171p0d	5	13	mutations	mutation	NOUN
w6634171p0d	5	14	relating	relate	VERB
w6634171p0d	5	15	such	such	ADJ
w6634171p0d	5	16	cluster	cluster	NOUN
w6634171p0d	5	17	structures	structure	NOUN
w6634171p0d	5	18	on	on	ADP
w6634171p0d	5	19	the	the	DET
w6634171p0d	5	20	space	space	NOUN
w6634171p0d	5	21	of	of	ADP
w6634171p0d	5	22	matrices	matrix	NOUN
w6634171p0d	5	23	of	of	ADP
w6634171p0d	5	24	size	size	NOUN
w6634171p0d	5	25	n	n	X
w6634171p0d	5	26	by	by	ADP
w6634171p0d	5	27	m	m	NOUN
w6634171p0d	5	28	and	and	CCONJ
w6634171p0d	5	29	the	the	DET
w6634171p0d	5	30	space	space	NOUN
w6634171p0d	5	31	of	of	ADP
w6634171p0d	5	32	matrices	matrix	NOUN
w6634171p0d	5	33	of	of	ADP
w6634171p0d	5	34	size	size	NOUN
w6634171p0d	5	35	(	(	PUNCT
w6634171p0d	5	36	n-1	n-1	X
w6634171p0d	5	37	)	)	PUNCT
w6634171p0d	5	38	by	by	ADP
w6634171p0d	5	39	m.	m.	NOUN
w6634171p0d	5	40	this	this	DET
w6634171p0d	5	41	aforementioned	aforementioned	ADJ
w6634171p0d	5	42	sequence	sequence	NOUN
w6634171p0d	5	43	of	of	ADP
w6634171p0d	5	44	mutations	mutation	NOUN
w6634171p0d	5	45	is	be	AUX
w6634171p0d	5	46	an	an	DET
w6634171p0d	5	47	important	important	ADJ
w6634171p0d	5	48	ingredient	ingredient	NOUN
w6634171p0d	5	49	in	in	ADP
w6634171p0d	5	50	showing	show	VERB
w6634171p0d	5	51	that	that	SCONJ
w6634171p0d	5	52	the	the	DET
w6634171p0d	5	53	corresponding	corresponding	ADJ
w6634171p0d	5	54	upper	upper	ADJ
w6634171p0d	5	55	cluster	cluster	NOUN
w6634171p0d	5	56	algebra	algebra	NOUN
w6634171p0d	5	57	is	be	AUX
w6634171p0d	5	58	isomorphic	isomorphic	ADJ
w6634171p0d	5	59	to	to	ADP
w6634171p0d	5	60	the	the	DET
w6634171p0d	5	61	ring	ring	NOUN
w6634171p0d	5	62	of	of	ADP
w6634171p0d	5	63	regular	regular	ADJ
w6634171p0d	5	64	functions	function	NOUN
w6634171p0d	5	65	on	on	ADP
w6634171p0d	5	66	the	the	DET
w6634171p0d	5	67	space	space	NOUN
w6634171p0d	5	68	of	of	ADP
w6634171p0d	5	69	matrices	matrix	NOUN
w6634171p0d	5	70	of	of	ADP
w6634171p0d	5	71	size	size	NOUN
w6634171p0d	5	72	n	n	X
w6634171p0d	5	73	by	by	ADP
w6634171p0d	5	74	m.	m.	NOUN