id	sid	tid	token	lemma	pos
j6731259j83	1	1	the	the	DET
j6731259j83	1	2	purpose	purpose	NOUN
j6731259j83	1	3	of	of	ADP
j6731259j83	1	4	our	our	PRON
j6731259j83	1	5	work	work	NOUN
j6731259j83	1	6	is	be	AUX
j6731259j83	1	7	to	to	PART
j6731259j83	1	8	generalize	generalize	VERB
j6731259j83	1	9	a	a	DET
j6731259j83	1	10	result	result	NOUN
j6731259j83	1	11	of	of	ADP
j6731259j83	1	12	evens	even	NOUN
j6731259j83	1	13	and	and	CCONJ
j6731259j83	1	14	lu	lu	NOUN
j6731259j83	1	15	cite{rfevenslu2	cite{rfevenslu2	SPACE
j6731259j83	1	16	}	}	PUNCT
j6731259j83	1	17	from	from	ADP
j6731259j83	1	18	the	the	DET
j6731259j83	1	19	complex	complex	ADJ
j6731259j83	1	20	case	case	NOUN
j6731259j83	1	21	to	to	ADP
j6731259j83	1	22	the	the	DET
j6731259j83	1	23	real	real	ADJ
j6731259j83	1	24	one	one	NOUN
j6731259j83	1	25	.	.	PUNCT
j6731259j83	2	1	in	in	ADP
j6731259j83	2	2	cite{rfevenslu2	cite{rfevenslu2	SPACE
j6731259j83	2	3	}	}	PUNCT
j6731259j83	2	4	,	,	PUNCT
j6731259j83	2	5	evens	even	NOUN
j6731259j83	2	6	and	and	CCONJ
j6731259j83	2	7	lu	lu	PRON
j6731259j83	2	8	considered	consider	VERB
j6731259j83	2	9	the	the	DET
j6731259j83	2	10	variety	variety	NOUN
j6731259j83	2	11	$	$	SYM
j6731259j83	2	12	l$	l$	NOUN
j6731259j83	2	13	of	of	ADP
j6731259j83	2	14	complex	complex	ADJ
j6731259j83	2	15	lagrangian	lagrangian	ADJ
j6731259j83	2	16	subalgebras	subalgebra	NOUN
j6731259j83	2	17	of	of	ADP
j6731259j83	2	18	$	$	SYM
j6731259j83	2	19	g	g	NOUN
j6731259j83	2	20	mg,$	mg,$	PROPN
j6731259j83	2	21	where	where	SCONJ
j6731259j83	2	22	$	$	SYM
j6731259j83	2	23	g$	g$	PROPN
j6731259j83	2	24	is	be	AUX
j6731259j83	2	25	a	a	DET
j6731259j83	2	26	complex	complex	ADJ
j6731259j83	2	27	semisimple	semisimple	ADJ
j6731259j83	2	28	lie	lie	NOUN
j6731259j83	2	29	algebra	algebra	NOUN
j6731259j83	2	30	.	.	PUNCT
j6731259j83	3	1	they	they	PRON
j6731259j83	3	2	described	describe	VERB
j6731259j83	3	3	irreducible	irreducible	ADJ
j6731259j83	3	4	components	component	NOUN
j6731259j83	3	5	,	,	PUNCT
j6731259j83	3	6	and	and	CCONJ
j6731259j83	3	7	showed	show	VERB
j6731259j83	3	8	that	that	SCONJ
j6731259j83	3	9	all	all	DET
j6731259j83	3	10	irreducible	irreducible	ADJ
j6731259j83	3	11	components	component	NOUN
j6731259j83	3	12	are	be	AUX
j6731259j83	3	13	smooth	smooth	ADJ
j6731259j83	3	14	.	.	PUNCT
j6731259j83	4	1	in	in	ADP
j6731259j83	4	2	particular	particular	ADJ
j6731259j83	4	3	,	,	PUNCT
j6731259j83	4	4	some	some	DET
j6731259j83	4	5	irreducible	irreducible	ADJ
j6731259j83	4	6	components	component	NOUN
j6731259j83	4	7	are	be	AUX
j6731259j83	4	8	de	de	X
j6731259j83	4	9	concini	concini	X
j6731259j83	4	10	-	-	PUNCT
j6731259j83	4	11	procesi	procesi	PROPN
j6731259j83	4	12	compactifications	compactification	NOUN
j6731259j83	4	13	of	of	ADP
j6731259j83	4	14	the	the	DET
j6731259j83	4	15	adjoint	adjoint	ADJ
j6731259j83	4	16	group	group	NOUN
j6731259j83	4	17	$	$	SYM
j6731259j83	4	18	g$	g$	PROPN
j6731259j83	4	19	associated	associate	VERB
j6731259j83	4	20	to	to	ADP
j6731259j83	4	21	$	$	SYM
j6731259j83	4	22	g,$	g,$	PROPN
j6731259j83	4	23	and	and	CCONJ
j6731259j83	4	24	its	its	PRON
j6731259j83	4	25	geometry	geometry	NOUN
j6731259j83	4	26	at	at	ADP
j6731259j83	4	27	infinity	infinity	PROPN
j6731259j83	4	28	plays	play	VERB
j6731259j83	4	29	a	a	DET
j6731259j83	4	30	role	role	NOUN
j6731259j83	4	31	in	in	ADP
j6731259j83	4	32	understanding	understand	VERB
j6731259j83	4	33	$	$	SYM
j6731259j83	4	34	l$	l$	NOUN
j6731259j83	4	35	and	and	CCONJ
j6731259j83	4	36	in	in	ADP
j6731259j83	4	37	applications	application	NOUN
j6731259j83	4	38	in	in	ADP
j6731259j83	4	39	lie	lie	NOUN
j6731259j83	4	40	theory	theory	NOUN
j6731259j83	4	41	cite{rfevenslupoisson	cite{rfevenslupoisson	SPACE
j6731259j83	4	42	}	}	PUNCT
j6731259j83	4	43	,	,	PUNCT
j6731259j83	4	44	cite{rfevensluthom	cite{rfevensluthom	PROPN
j6731259j83	4	45	}	}	PUNCT
j6731259j83	4	46	.	.	PUNCT
j6731259j83	5	1	in	in	ADP
j6731259j83	5	2	this	this	DET
j6731259j83	5	3	work	work	NOUN
j6731259j83	5	4	we	we	PRON
j6731259j83	5	5	consider	consider	VERB
j6731259j83	5	6	an	an	DET
j6731259j83	5	7	analogous	analogous	ADJ
j6731259j83	5	8	problem	problem	NOUN
j6731259j83	5	9	,	,	PUNCT
j6731259j83	5	10	where	where	SCONJ
j6731259j83	5	11	$	$	SYM
j6731259j83	5	12	g$	g$	PROPN
j6731259j83	5	13	is	be	AUX
j6731259j83	5	14	a	a	DET
j6731259j83	5	15	real	real	ADV
j6731259j83	5	16	semisimple	semisimple	ADJ
j6731259j83	5	17	lie	lie	NOUN
j6731259j83	5	18	algebra	algebra	NOUN
j6731259j83	5	19	.	.	PUNCT
j6731259j83	6	1	we	we	PRON
j6731259j83	6	2	describe	describe	VERB
j6731259j83	6	3	the	the	DET
j6731259j83	6	4	irreducible	irreducible	ADJ
j6731259j83	6	5	components	component	NOUN
j6731259j83	6	6	of	of	ADP
j6731259j83	6	7	$	$	SYM
j6731259j83	6	8	l,$	l,$	X
j6731259j83	6	9	the	the	DET
j6731259j83	6	10	real	real	ADJ
j6731259j83	6	11	algebraic	algebraic	ADJ
j6731259j83	6	12	variety	variety	NOUN
j6731259j83	6	13	of	of	ADP
j6731259j83	6	14	lagrangian	lagrangian	ADJ
j6731259j83	6	15	subalgebras	subalgebra	NOUN
j6731259j83	6	16	of	of	ADP
j6731259j83	6	17	$	$	SYM
j6731259j83	6	18	g	g	NUM
j6731259j83	6	19	m	m	X
j6731259j83	6	20	g$.	g$.	NOUN
j6731259j83	6	21	let	let	VERB
j6731259j83	6	22	$	$	SYM
j6731259j83	6	23	g$	g$	NOUN
j6731259j83	6	24	be	be	AUX
j6731259j83	6	25	the	the	DET
j6731259j83	6	26	complexification	complexification	NOUN
j6731259j83	6	27	of	of	ADP
j6731259j83	6	28	$	$	SYM
j6731259j83	6	29	g.$	g.$	X
j6731259j83	6	30	denote	denote	ADJ
j6731259j83	6	31	by	by	ADP
j6731259j83	6	32	$	$	SYM
j6731259j83	6	33	sigma$	sigma$	NUM
j6731259j83	6	34	the	the	DET
j6731259j83	6	35	complex	complex	ADJ
j6731259j83	6	36	conjugation	conjugation	NOUN
j6731259j83	6	37	on	on	ADP
j6731259j83	6	38	$	$	SYM
j6731259j83	6	39	g$	g$	NOUN
j6731259j83	6	40	with	with	ADP
j6731259j83	6	41	respect	respect	NOUN
j6731259j83	6	42	to	to	ADP
j6731259j83	6	43	$	$	SYM
j6731259j83	6	44	g.$	g.$	X
j6731259j83	6	45	let	let	VERB
j6731259j83	6	46	$	$	SYM
j6731259j83	6	47	g$	g$	NOUN
j6731259j83	6	48	be	be	AUX
j6731259j83	6	49	the	the	DET
j6731259j83	6	50	adjoint	adjoint	ADJ
j6731259j83	6	51	group	group	NOUN
j6731259j83	6	52	of	of	ADP
j6731259j83	6	53	$	$	SYM
j6731259j83	6	54	g.$	g.$	X
j6731259j83	6	55	then	then	ADV
j6731259j83	6	56	$	$	SYM
j6731259j83	6	57	sigma$	sigma$	NOUN
j6731259j83	6	58	can	can	AUX
j6731259j83	6	59	be	be	AUX
j6731259j83	6	60	lifted	lift	VERB
j6731259j83	6	61	to	to	ADP
j6731259j83	6	62	an	an	DET
j6731259j83	6	63	antiholomorphic	antiholomorphic	ADJ
j6731259j83	6	64	involutive	involutive	NOUN
j6731259j83	6	65	automorphism	automorphism	NOUN
j6731259j83	6	66	$	$	SYM
j6731259j83	6	67	sigma	sigma	PROPN
j6731259j83	6	68	:	:	PUNCT
j6731259j83	6	69	g	g	NOUN
j6731259j83	6	70	ightarrow	ightarrow	NOUN
j6731259j83	6	71	g,$	g,$	ADP
j6731259j83	6	72	which	which	PRON
j6731259j83	6	73	we	we	PRON
j6731259j83	6	74	denote	denote	VERB
j6731259j83	6	75	by	by	ADP
j6731259j83	6	76	$	$	SYM
j6731259j83	6	77	sigma$	sigma$	NOUN
j6731259j83	6	78	too	too	ADV
j6731259j83	6	79	.	.	PUNCT
j6731259j83	7	1	the	the	DET
j6731259j83	7	2	set	set	NOUN
j6731259j83	7	3	of	of	ADP
j6731259j83	7	4	$	$	SYM
j6731259j83	7	5	sigma$-fixed	sigma$-fixe	VERB
j6731259j83	7	6	points	point	NOUN
j6731259j83	7	7	$	$	SYM
j6731259j83	7	8	g^{sigma}={gin	g^{sigma}={gin	VERB
j6731259j83	7	9	g	g	NOUN
j6731259j83	7	10	:	:	PUNCT
j6731259j83	7	11	sigma(g	sigma(g	NOUN
j6731259j83	7	12	)	)	PUNCT
j6731259j83	7	13	=	=	PROPN
j6731259j83	7	14	g}$	g}$	PROPN
j6731259j83	7	15	is	be	AUX
j6731259j83	7	16	a	a	DET
j6731259j83	7	17	real	real	ADJ
j6731259j83	7	18	algebraic	algebraic	ADJ
j6731259j83	7	19	group	group	NOUN
j6731259j83	7	20	with	with	ADP
j6731259j83	7	21	lie	lie	NOUN
j6731259j83	7	22	algebra	algebra	NOUN
j6731259j83	7	23	$	$	SYM
j6731259j83	7	24	g.$	g.$	X
j6731259j83	7	25	we	we	PRON
j6731259j83	7	26	study	study	VERB
j6731259j83	7	27	$	$	SYM
j6731259j83	7	28	g^{sigma}$	g^{sigma}$	PROPN
j6731259j83	7	29	using	use	VERB
j6731259j83	7	30	a	a	DET
j6731259j83	7	31	result	result	NOUN
j6731259j83	7	32	of	of	ADP
j6731259j83	7	33	steinberg	steinberg	PROPN
j6731259j83	7	34	cite{steinberg	cite{steinberg	PROPN
j6731259j83	7	35	}	}	PUNCT
j6731259j83	7	36	and	and	CCONJ
j6731259j83	7	37	the	the	DET
j6731259j83	7	38	atlas	atlas	PROPN
j6731259j83	7	39	project	project	NOUN
j6731259j83	7	40	software	software	NOUN
j6731259j83	7	41	cite{atlas	cite{atla	NOUN
j6731259j83	7	42	}	}	PUNCT
j6731259j83	7	43	.	.	PUNCT
j6731259j83	8	1	our	our	PRON
j6731259j83	8	2	results	result	NOUN
j6731259j83	8	3	also	also	ADV
j6731259j83	8	4	give	give	VERB
j6731259j83	8	5	a	a	DET
j6731259j83	8	6	description	description	NOUN
j6731259j83	8	7	of	of	ADP
j6731259j83	8	8	a	a	DET
j6731259j83	8	9	compactification	compactification	NOUN
j6731259j83	8	10	of	of	ADP
j6731259j83	8	11	$	$	SYM
j6731259j83	8	12	g^{sigma}.$	g^{sigma}.$	PROPN
j6731259j83	8	13	although	although	SCONJ
j6731259j83	8	14	our	our	PRON
j6731259j83	8	15	methods	method	NOUN
j6731259j83	8	16	are	be	AUX
j6731259j83	8	17	similar	similar	ADJ
j6731259j83	8	18	to	to	ADP
j6731259j83	8	19	the	the	DET
j6731259j83	8	20	methods	method	NOUN
j6731259j83	8	21	of	of	ADP
j6731259j83	8	22	cite{rfevenslu2	cite{rfevenslu2	SPACE
j6731259j83	8	23	}	}	PUNCT
j6731259j83	8	24	,	,	PUNCT
j6731259j83	8	25	the	the	DET
j6731259j83	8	26	real	real	ADJ
j6731259j83	8	27	structure	structure	NOUN
j6731259j83	8	28	introduces	introduce	VERB
j6731259j83	8	29	some	some	DET
j6731259j83	8	30	additional	additional	ADJ
j6731259j83	8	31	difficulties	difficulty	NOUN
j6731259j83	8	32	.	.	PUNCT