A simple proof of the algebraic version of a conjecture by Vogan

dc.creatorBratten, Tim
dc.creatorCorti, Sergio
dc.date2007-08-27
dc.date2007-10-08
dc.date.accessioned2026-07-07T09:29:46Z
dc.date.available2026-07-07T09:29:46Z
dc.descriptionIn a recent manuscript, D.Vogan conjectures that four canonical globalizations of Harish-Chandra modules commute with certain n-cohomology groups. In this article we prove that Vogan's conjecture holds for one of the globalizations if and only if it holds for the dual. Using a previously published result of one of the authors, which establishes the conjecture for the minimal globalization, we can therefore deduce Vogan's conjecture for the maximal globalization.
dc.descriptionA simple proof of the problem raised in arXiv:math/0606071v1
dc.identifierhttps://arxiv.org/abs/0708.3668
dc.identifierhttp://arxiv.org/abs/0708.3668
dc.identifierJournal of Lie Theory 18 (2008), No. 1, 083--091
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157910
dc.subjectRepresentation Theory
dc.subjectSpectral Theory
dc.subject22E46
dc.titleA simple proof of the algebraic version of a conjecture by Vogan
dc.typetext

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