Restriction to Levi subalgebras and generalization of the category O
Representation Theory
2010-10-08 v1
Abstract
The category of all modules over a reductive complex Lie algebra is wild, and therefore it is useful to study full subcategories. For instance, Bernstein, Gelfand and Gelfand introduced a category of modules which provides a natural setting for highest weight modules. In this paper, we define a family of categories which generalizes the BGG category, and we classify the simple modules for a subfamily. As a consequence, we show that some of the obtained categories are semisimple.
Cite
@article{arxiv.1010.1347,
title = {Restriction to Levi subalgebras and generalization of the category O},
author = {Guillaume Tomasini},
journal= {arXiv preprint arXiv:1010.1347},
year = {2010}
}
Comments
43 pages