標題: The generalized Borel-Weil theorem and cohomology of G/(P,P)
作者: Chuah, MK
應用數學系
Department of Applied Mathematics
公開日期: 1-三月-1997
摘要: 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.
URI: http://hdl.handle.net/11536/149588
ISSN: 0022-2518
期刊: INDIANA UNIVERSITY MATHEMATICS JOURNAL
Volume: 46
起始頁: 117
結束頁: 131
顯示於類別:期刊論文