DELIGNE-LUSZTIG RESTRICTION OF A GELFAND-GRAEV MODULE

被引：6

作者：

Dudas, Olivier ^{[1
]}

机构：

[1] Univ Franche Comte, Math Lab, F-25000 Besancon, France

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2009年 / 42卷 / 04期

关键词：

ALGEBRAIC-GROUPS; COXETER ORBITS; REPRESENTATIONS; VARIETIES;

D O I：

10.24033/asens.2105

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Using Deodhar's decomposition of a double Schubert cell, we study the regular representations of finite groups of Lie type arising in the cohomology of Deligne-Lusztig varieties associated to tori. We deduce that the Deligne-Lusztig restriction of a Gelfand-Graev module is a shifted Gelfand-Graev module.

引用

页码：653 / 674

页数：22

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