id	sid	tid	token	lemma	pos
fq977s77r68	1	1	we	we	PRON
fq977s77r68	1	2	give	give	VERB
fq977s77r68	1	3	a	a	DET
fq977s77r68	1	4	rigorous	rigorous	ADJ
fq977s77r68	1	5	treatment	treatment	NOUN
fq977s77r68	1	6	of	of	ADP
fq977s77r68	1	7	the	the	DET
fq977s77r68	1	8	notion	notion	NOUN
fq977s77r68	1	9	of	of	ADP
fq977s77r68	1	10	screening	screen	VERB
fq977s77r68	1	11	pairs	pair	NOUN
fq977s77r68	1	12	of	of	ADP
fq977s77r68	1	13	screening	screen	VERB
fq977s77r68	1	14	operators	operator	NOUN
fq977s77r68	1	15	$	$	SYM
fq977s77r68	1	16	(	(	PUNCT
fq977s77r68	1	17	\	\	PROPN
fq977s77r68	1	18	ilde{q},q)$	ilde{q},q)$	PROPN
fq977s77r68	1	19	for	for	ADP
fq977s77r68	1	20	a	a	DET
fq977s77r68	1	21	rank	rank	NOUN
fq977s77r68	1	22	$	$	SYM
fq977s77r68	1	23	d$	d$	NUM
fq977s77r68	1	24	lattice	lattice	NOUN
fq977s77r68	1	25	vertex	vertex	NOUN
fq977s77r68	1	26	operator	operator	NOUN
fq977s77r68	1	27	superalgebra	superalgebra	NOUN
fq977s77r68	1	28	$	$	SYM
fq977s77r68	1	29	v_l$.	v_l$.	VERB
fq977s77r68	1	30	certain	certain	ADJ
fq977s77r68	1	31	such	such	ADJ
fq977s77r68	1	32	screening	screening	NOUN
fq977s77r68	1	33	pairs	pair	NOUN
fq977s77r68	1	34	proved	prove	VERB
fq977s77r68	1	35	to	to	PART
fq977s77r68	1	36	be	be	AUX
fq977s77r68	1	37	useful	useful	ADJ
fq977s77r68	1	38	machinery	machinery	NOUN
fq977s77r68	1	39	in	in	ADP
fq977s77r68	1	40	the	the	DET
fq977s77r68	1	41	study	study	NOUN
fq977s77r68	1	42	of	of	ADP
fq977s77r68	1	43	the	the	DET
fq977s77r68	1	44	internal	internal	ADJ
fq977s77r68	1	45	structure	structure	NOUN
fq977s77r68	1	46	of	of	ADP
fq977s77r68	1	47	the	the	DET
fq977s77r68	1	48	$	$	SYM
fq977s77r68	1	49	\mathcal{w}\mbox{-algebra}$	\mathcal{w}\mbox{-algebra}$	X
fq977s77r68	1	50	$	$	SYM
fq977s77r68	1	51	\mathcal{w}(p)=\mbox{ker	\mathcal{w}(p)=\mbox{ker	PROPN
fq977s77r68	1	52	}	}	PUNCT
fq977s77r68	1	53	\	\	PROPN
fq977s77r68	1	54	ilde{q}$	ilde{q}$	PROPN
fq977s77r68	1	55	by	by	ADP
fq977s77r68	1	56	adamovi\'c	adamovi\'c	NOUN
fq977s77r68	1	57	and	and	CCONJ
fq977s77r68	1	58	milas	mila	NOUN
fq977s77r68	1	59	and	and	CCONJ
fq977s77r68	1	60	in	in	ADP
fq977s77r68	1	61	proving	prove	VERB
fq977s77r68	1	62	the	the	DET
fq977s77r68	1	63	$	$	SYM
fq977s77r68	1	64	c_2$-cofinite	c_2$-cofinite	NUM
fq977s77r68	1	65	property	property	NOUN
fq977s77r68	1	66	in	in	ADP
fq977s77r68	1	67	the	the	DET
fq977s77r68	1	68	rank	rank	NOUN
fq977s77r68	1	69	1	1	NUM
fq977s77r68	1	70	case	case	NOUN
fq977s77r68	1	71	.	.	PUNCT
fq977s77r68	2	1	we	we	PRON
fq977s77r68	2	2	analyze	analyze	VERB
fq977s77r68	2	3	and	and	CCONJ
fq977s77r68	2	4	classify	classify	VERB
fq977s77r68	2	5	when	when	SCONJ
fq977s77r68	2	6	screening	screen	VERB
fq977s77r68	2	7	pairs	pair	NOUN
fq977s77r68	2	8	can	can	AUX
fq977s77r68	2	9	arise	arise	VERB
fq977s77r68	2	10	for	for	ADP
fq977s77r68	2	11	$	$	SYM
fq977s77r68	2	12	l$	l$	NOUN
fq977s77r68	2	13	of	of	ADP
fq977s77r68	2	14	arbitrary	arbitrary	ADJ
fq977s77r68	2	15	rank	rank	NOUN
fq977s77r68	2	16	,	,	PUNCT
fq977s77r68	2	17	and	and	CCONJ
fq977s77r68	2	18	then	then	ADV
fq977s77r68	2	19	give	give	VERB
fq977s77r68	2	20	a	a	DET
fq977s77r68	2	21	classification	classification	NOUN
fq977s77r68	2	22	of	of	ADP
fq977s77r68	2	23	when	when	SCONJ
fq977s77r68	2	24	configurations	configuration	NOUN
fq977s77r68	2	25	of	of	ADP
fq977s77r68	2	26	multiple	multiple	ADJ
fq977s77r68	2	27	screening	screening	NOUN
fq977s77r68	2	28	pairs	pair	NOUN
fq977s77r68	2	29	can	can	AUX
fq977s77r68	2	30	occur	occur	VERB
fq977s77r68	2	31	for	for	ADP
fq977s77r68	2	32	lattice	lattice	NOUN
fq977s77r68	2	33	vertex	vertex	NOUN
fq977s77r68	2	34	operator	operator	NOUN
fq977s77r68	2	35	algebras	algebra	NOUN
fq977s77r68	2	36	with	with	ADP
fq977s77r68	2	37	lattices	lattice	NOUN
fq977s77r68	2	38	of	of	ADP
fq977s77r68	2	39	rank	rank	NOUN
fq977s77r68	2	40	$	$	SYM
fq977s77r68	2	41	2	2	NUM
fq977s77r68	2	42	$	$	NUM
fq977s77r68	2	43	and	and	CCONJ
fq977s77r68	2	44	ade	ade	ADJ
fq977s77r68	2	45	-	-	PUNCT
fq977s77r68	2	46	type	type	NOUN
fq977s77r68	2	47	root	root	NOUN
fq977s77r68	2	48	lattices	lattice	NOUN
fq977s77r68	2	49	.	.	PUNCT
fq977s77r68	3	1	we	we	PRON
fq977s77r68	3	2	then	then	ADV
fq977s77r68	3	3	show	show	VERB
fq977s77r68	3	4	how	how	SCONJ
fq977s77r68	3	5	to	to	PART
fq977s77r68	3	6	construct	construct	VERB
fq977s77r68	3	7	subalgebras	subalgebra	NOUN
fq977s77r68	3	8	of	of	ADP
fq977s77r68	3	9	$	$	SYM
fq977s77r68	3	10	v_l$	v_l$	NOUN
fq977s77r68	3	11	by	by	ADP
fq977s77r68	3	12	considering	consider	VERB
fq977s77r68	3	13	the	the	DET
fq977s77r68	3	14	kernel	kernel	NOUN
fq977s77r68	3	15	of	of	ADP
fq977s77r68	3	16	a	a	DET
fq977s77r68	3	17	screening	screening	NOUN
fq977s77r68	3	18	operator	operator	NOUN
fq977s77r68	3	19	for	for	ADP
fq977s77r68	3	20	$	$	SYM
fq977s77r68	3	21	v_l$	v_l$	NUM
fq977s77r68	3	22	when	when	SCONJ
fq977s77r68	3	23	$	$	SYM
fq977s77r68	3	24	l$	l$	NOUN
fq977s77r68	3	25	is	be	AUX
fq977s77r68	3	26	of	of	ADP
fq977s77r68	3	27	rank	rank	NOUN
fq977s77r68	3	28	$	$	SYM
fq977s77r68	3	29	2	2	NUM
fq977s77r68	3	30	$	$	NUM
fq977s77r68	3	31	,	,	PUNCT
fq977s77r68	3	32	and	and	CCONJ
fq977s77r68	3	33	how	how	SCONJ
fq977s77r68	3	34	one	one	PRON
fq977s77r68	3	35	can	can	AUX
fq977s77r68	3	36	take	take	VERB
fq977s77r68	3	37	the	the	DET
fq977s77r68	3	38	intersection	intersection	NOUN
fq977s77r68	3	39	of	of	ADP
fq977s77r68	3	40	the	the	DET
fq977s77r68	3	41	kernels	kernel	NOUN
fq977s77r68	3	42	of	of	ADP
fq977s77r68	3	43	certain	certain	ADJ
fq977s77r68	3	44	commuting	commuting	NOUN
fq977s77r68	3	45	screening	screen	VERB
fq977s77r68	3	46	operators	operator	NOUN
fq977s77r68	3	47	to	to	PART
fq977s77r68	3	48	obtain	obtain	VERB
fq977s77r68	3	49	interesting	interesting	ADJ
fq977s77r68	3	50	vertex	vertex	NOUN
fq977s77r68	3	51	operator	operator	NOUN
fq977s77r68	3	52	algebras	algebra	NOUN
fq977s77r68	3	53	that	that	PRON
fq977s77r68	3	54	can	can	AUX
fq977s77r68	3	55	be	be	AUX
fq977s77r68	3	56	analyzed	analyze	VERB
fq977s77r68	3	57	using	use	VERB
fq977s77r68	3	58	this	this	DET
fq977s77r68	3	59	intersection	intersection	NOUN
fq977s77r68	3	60	of	of	ADP
fq977s77r68	3	61	kernels	kernel	NOUN
fq977s77r68	3	62	structure	structure	NOUN
fq977s77r68	3	63	.	.	PUNCT
fq977s77r68	4	1	the	the	DET
fq977s77r68	4	2	subalgebras	subalgebra	NOUN
fq977s77r68	4	3	studied	study	VERB
fq977s77r68	4	4	here	here	ADV
fq977s77r68	4	5	share	share	NOUN
fq977s77r68	4	6	features	feature	NOUN
fq977s77r68	4	7	similar	similar	ADJ
fq977s77r68	4	8	to	to	ADP
fq977s77r68	4	9	the	the	DET
fq977s77r68	4	10	$	$	SYM
fq977s77r68	4	11	\mathcal{w}(p)$-algebra	\mathcal{w}(p)$-algebra	PROPN
fq977s77r68	4	12	in	in	ADP
fq977s77r68	4	13	the	the	DET
fq977s77r68	4	14	rank	rank	NOUN
fq977s77r68	4	15	1	1	NUM
fq977s77r68	4	16	setting	setting	NOUN
fq977s77r68	4	17	,	,	PUNCT
fq977s77r68	4	18	in	in	SCONJ
fq977s77r68	4	19	that	that	SCONJ
fq977s77r68	4	20	they	they	PRON
fq977s77r68	4	21	are	be	AUX
fq977s77r68	4	22	simple	simple	ADJ
fq977s77r68	4	23	,	,	PUNCT
fq977s77r68	4	24	$	$	SYM
fq977s77r68	4	25	c_2$-cofinite	c_2$-cofinite	ADJ
fq977s77r68	4	26	,	,	PUNCT
fq977s77r68	4	27	and	and	CCONJ
fq977s77r68	4	28	irrational	irrational	ADJ
fq977s77r68	4	29	.	.	PUNCT
fq977s77r68	5	1	we	we	PRON
fq977s77r68	5	2	classify	classify	VERB
fq977s77r68	5	3	the	the	DET
fq977s77r68	5	4	irreducible	irreducible	ADJ
fq977s77r68	5	5	modules	module	NOUN
fq977s77r68	5	6	for	for	ADP
fq977s77r68	5	7	these	these	DET
fq977s77r68	5	8	vertex	vertex	NOUN
fq977s77r68	5	9	operator	operator	NOUN
fq977s77r68	5	10	superalgebras	superalgebras	PROPN
fq977s77r68	5	11	.	.	PUNCT