Quotient of Deligne-Lusztig varieties

被引:4
作者
Dudas, Olivier [1 ]
机构
[1] Inst Math Jussieu, Jussieu, France
基金
英国工程与自然科学研究理事会;
关键词
Deligne-Lusztig varieties; Schubert varieties; Deodhar decomposition; REDUCTIVE GROUPS; DECOMPOSITION;
D O I
10.1016/j.jalgebra.2013.01.032
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the quotient of parabolic Deligne-Lusztig varieties by a finite unipotent group U-F where U is the unipotent radical of a rational parabolic subgroup P = LU. We show that in some particular cases the cohomology of this quotient can be expressed in terms of "smaller" parabolic Deligne-Lusztig varieties associated to the Levi subgroup L (C) 2013 Elsevier Inc. All rights reserved.
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页码:1 / 20
页数:20
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