Dirac Cohomology of Unipotent Representations of Sp(2n, R) and U (p, q)

被引：0

作者：

Barbasch, Dan ^{[1
]}

Pandzic, Pavle ^{[2
]}

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14850 USA

[2] Univ Zagreb, Dept Math, Zagreb 10000, Croatia

来源：

JOURNAL OF LIE THEORY | 2015年 / 25卷 / 01期

关键词：

Lie group; Lie algebra; representation; special unipotent representation; Dirac operator; Dirac cohomology; UNITARY REPRESENTATIONS; CLASSICAL-GROUPS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we compute the Dirac cohomology of the special unipotent representations of the real groups Sp(2n, R) and U(p, q). Unlike the simpler cases treated in the literature so far, the answer here is quite involved. In particular, the Dirac cohomology can contain K-types with high multiplicity.

引用

页码：185 / 213

页数：29

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