Algebraic Characters of Harish-Chandra Modules

被引：0

作者：

Januszewski, Fabian ^{[1
]}

机构：

[1] Karlsruhe Inst Technol, Inst Algebra & Geometrie, D-76133 Karlsruhe, Germany

来源：

JOURNAL OF LIE THEORY | 2014年 / 24卷 / 04期

关键词：

Harish-Chandra modules; Lie algebra cohomology; algebraic characters; Blattner formulae; non-admissible branching laws; localization of Grothendieck groups; DISCRETE DECOMPOSABILITY; REDUCTIVE SUBGROUPS; REPRESENTATIONS; RESTRICTION; RESPECT;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a cohomological treatment of a character theory for (g, K)-modules. This leads to a nice formalism extending to large categories of not necessarily admissible (g, K) -modules. Due to results of Hecht, Schmid and Vogan the classical results of Harish-Chandra's global character theory extend to this general setting. As an application we consider a general setup, for which we show that algebraic characters answer discretely decomposable branching problems.

引用

页码：1161 / 1206

页数：46

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