Dirac Cohomology for Lie Superalgebras

被引：0

作者：

Jing-Song Huang

Pavle Pandžić

机构：

[1] Department of Mathematics,

[2] Hong Kong University of Science and Technology,undefined

[3] Clear Water Bay,undefined

[4] Kowloon,undefined

[5] Hong Kong SAR,undefined

[6] Department of Mathematics,undefined

[7] University of Zagreb,undefined

[8] Bijenicka 30,undefined

[9] PP 335,undefined

[10] 10002 Zagreb,undefined

来源：

Transformation Groups | 2005年 / 10卷

关键词：

Dirac Operator; Topological Group; Similar Nature; Dirac Cohomology; Infinitesimal Character;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Dirac cohomology is a new tool to study representations of semisimple Lie groups and Lie algebras. The aim of this paper is to define a Dirac operator for a Lie superalgebra of Riemannian type and show that this Dirac operator has similar nature as the one for semisimple Lie algebras. As a consequence, we show how to determine the infinitesimal character of a representation by the infinitesimal character of its Dirac cohomology.

引用

页码：201 / 209

页数：8

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