Koszul duality of translation--and Zuckerman functors

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dc.creatorRyom-Hansen, Steen
dc.date2009-05-04
dc.date.accessioned2026-07-07T13:11:28Z
dc.date.available2026-07-07T13:11:28Z
dc.descriptionWe review Koszul duality in representation theory of category $ \cal O $, especially we give a new presentation of the Koszul duality functor. Combining this with work of Backelin, we show that the translation and Zuckerman functors are Koszul dual to each other, thus verifying a conjecture of Bernstein, Frenkel and Khovanov. Finally we use Koszul duality to give a short proof of the Enright-Shelton equivalence.
dc.descriptionPublished version, Journal of Lie Theory
dc.identifierhttps://arxiv.org/abs/0905.0407
dc.identifierhttp://arxiv.org/abs/0905.0407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229291
dc.subjectRepresentation Theory
dc.subject16S37
dc.titleKoszul duality of translation--and Zuckerman functors
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