Algebraic Characters for Harish-Chandra modules

Details Algebraic Characters for Harish-Chandra modules Algebraic Characters for Harish-Chandra modules

2012-01-12

arxiv.org/abs/1201.2447v1

Mathematics

Representation Theory

Scientific paper

We give a purely cohomological treatment of a character theory for (g,K)-modules. This leads to a beautiful formalism extending to large categories of (g,K)-modules. Due to results of Hecht-Schmid and Vogan the classical results of Harish-Chandra's global character theory extend to this setting. This algebraic approach reduces (not necessarily admissible) discretely decomposable branching problems to finiteness statements about multiplicities of composition factors and appropriate character formulas.

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