The category $\mathcal{O}$ for a general Coxeter system
Representation Theory
2009-04-20 v1
Abstract
We study the category for a general Coxeter system using a formulation of Fiebig. The translation functors, the Zuckerman functors and the twisting functors are defined. We prove the fundamental properties of these functors, the duality of Zuckerman functor and generalization of Verma's result about homomorphisms between Verma modules.
Cite
@article{arxiv.0904.2734,
title = {The category $\mathcal{O}$ for a general Coxeter system},
author = {Noriyuki Abe},
journal= {arXiv preprint arXiv:0904.2734},
year = {2009}
}
Comments
21 pages