Jacquet modules and Dirac cohomology

被引：10

作者：

Dong, Chao-Ping ^{[1
]}

Huang, Jing-Song ^{[1
]}

机构：

[1] Hong Kong Univ Sci & Technol, Dept Math, Kowloon, Hong Kong, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2011年 / 226卷 / 04期

关键词：

Jacquet functor; Harish-Chandra module; Generalized Verma module; Dirac cohomology; Principal series; HARISH-CHANDRA MODULES; EULER NUMBER MULTIPLETS; REPRESENTATIONS; ASYMPTOTICS; SUBGROUPS; HOMOLOGY;

D O I：

10.1016/j.aim.2010.09.024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that Dirac cohomology of the Jacquet module of a Harish-Chandra module is a Harish-Chandra module for the corresponding Levi subgroup. We obtain an explicit formula of Dirac cohomology of the Jacquet module for most of the principal series, based on our determination of Dirac cohomology of irreducible generalized Verma modules with regular infinitesimal characters. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2911 / 2934

页数：24

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