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arXiv · 1201.2447

Algebraic Characters for Harish-Chandra modules

Fabian Januszewski
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Abstract

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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BibTeXRIS

Fabian Januszewski. 2013-10-25. Algebraic Characters for Harish-Chandra modules. https://arxiv.org/abs/1201.2447

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