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

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dc.creatorAbe, Noriyuki
dc.date2009-04-17
dc.date.accessioned2026-07-07T13:05:43Z
dc.date.available2026-07-07T13:05:43Z
dc.descriptionWe 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.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0904.2734
dc.identifierhttp://arxiv.org/abs/0904.2734
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/227578
dc.subjectRepresentation Theory
dc.subject20F55, 17B10
dc.titleThe category $\mathcal{O}$ for a general Coxeter system
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