Applications of the category of linear complexes of tilting modules associated with the category O
Representation Theory
2010-04-02 v1
Abstract
We use the category of linear complexes of tilting modules for the BGG category O, associated with a semi-simple complex finite-dimensional Lie algebra g, to reprove in purely algebraic way several known results about O obtained earlier by different authors using geometric methods. We also obtain several new results about the parabolic category O.
Keywords
Cite
@article{arxiv.math/0501220,
title = {Applications of the category of linear complexes of tilting modules associated with the category O},
author = {Volodymyr Mazorchuk},
journal= {arXiv preprint arXiv:math/0501220},
year = {2010}
}
Comments
27 pages