Dirac cohomology of highest weight modules

被引：9

作者：

Huang, Jing-Song ^{[1
]}

Xiao, Wei ^{[1
]}

机构：

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

来源：

SELECTA MATHEMATICA-NEW SERIES | 2012年 / 18卷 / 04期

关键词：

Category O; Highest weight module; Dirac cohomology; Lie algebra cohomology; EULER NUMBER MULTIPLETS; N-COHOMOLOGY; REPRESENTATIONS; CONJECTURE; SUBGROUPS; BLOCKS;

D O I：

10.1007/s00029-011-0085-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the Dirac cohomology coincides with nilpotent Lie algebra (co)homology up to a twist of a one-dimensional character for simple highest weight modules. As a consequence, we determine the Dirac cohomology of simple highest weight modules explicitly.

引用

页码：803 / 824

页数：22

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