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arXiv:0904.2734 [math.RT]AbstractReferencesReviewsResources

The category $\mathcal{O}$ for a general Coxeter system

Noriyuki Abe

Published 2009-04-17Version 1

We study the category $\mathcal{O}$ 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.

Comments: 21 pages
Categories: math.RT
Subjects: 20F55, 17B10
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