The generalized Borel-Weil theorem and cohomology of G/(P,P)

dc.citation.epage	131	en_US
dc.citation.issue	1	en_US
dc.citation.spage	117	en_US
dc.citation.volume	46	en_US
dc.contributor.author	Chuah, MK	en_US
dc.contributor.department	交大名義發表	zh_TW
dc.contributor.department	應用數學系	zh_TW
dc.contributor.department	National Chiao Tung University	en_US
dc.contributor.department	Department of Applied Mathematics	en_US
dc.date.accessioned	2014-12-08T15:01:59Z
dc.date.available	2014-12-08T15:01:59Z
dc.date.issued	1997-03-01	en_US
dc.description.abstract	Let G be a complex semi-simple Lie group. The generalized Borel-Weil theorem computes the cohomology of a compact homogeneous G-space with coefficient in homogeneous line bundle. In this paper, we give an analogous statement via Dolbeault cohomology of the non-compact space G/(P,P) for P subset of G a parabolic subgroup, and (P,P) the commutator subgroup.	en_US
dc.identifier.issn	0022-2518	en_US
dc.identifier.journal	INDIANA UNIVERSITY MATHEMATICS JOURNAL	en_US
dc.identifier.uri	https://ir.lib.nycu.edu.tw/handle/11536/706
dc.language.iso	en_US	en_US
dc.title	The generalized Borel-Weil theorem and cohomology of G/(P,P)	en_US
dc.type	Article	en_US

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