THE DIRAC COHOMOLOGY OF A FINITE DIMENSIONAL REPRESENTATION

被引：0

作者：

Mehdi, S. ^{[1
]}

Zierau, R. ^{[2
]}

机构：

[1] Univ Metz, Dept Math, CNRS, F-57045 Metz 1, France

[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2014年 / 142卷 / 05期

关键词：

OPERATOR;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The Dirac cohomology of a finite dimensional representation of a complex semisimple Lie algebra g, with respect to any quadratic subalgebra h, is computed. This generalizes a formula obtained by Kostant in the case where g and h have equal rank, and by Huang, Kang and Pandzic in the case where h is the fixed point of an involution.

引用

页码：1507 / 1512

页数：6

共 6 条

[1]

Goodman Roe, 1998, ENCY MATH ITS APPL, V68

[2] DIRAC COHOMOLOGY OF SOME HARISH-CHANDRA MODULES [J].