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
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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.
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页码：201 / 209
页数：8
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