Algebraic Characters for Harish-Chandra modules
Representation Theory
2013-10-28 v6
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.
Cite
@article{arxiv.1201.2447,
title = {Algebraic Characters for Harish-Chandra modules},
author = {Fabian Januszewski},
journal= {arXiv preprint arXiv:1201.2447},
year = {2013}
}