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.
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页码：1161 / 1206
页数：46
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