Equivariant analogues of Zuckerman functors

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dc.creatorPandžić, Pavle
dc.date2004-01-11
dc.date2004-01-29
dc.date.accessioned2026-07-07T05:04:29Z
dc.date.available2026-07-07T05:04:29Z
dc.descriptionWe review the Beilinson-Ginzburg construction of equivariant derived categories of Harish-Chandra modules, and introduce analogues of Zuckerman functors in this setting. They are given by an explicit formula, which works equally well in the case of modules with a given infinitesimal character, which is important if one wants to apply Beilinson-Bernstein localization. We also show how to recover the usual Zuckerman functors from the equivariant ones by passing to cohomology.
dc.description37 pages; added reference
dc.identifierhttps://arxiv.org/abs/math/0401106
dc.identifierhttp://arxiv.org/abs/math/0401106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69820
dc.subjectRepresentation Theory
dc.subject22E46
dc.titleEquivariant analogues of Zuckerman functors
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