Multiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting

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dc.creatorKac, Victor G.
dc.creatorFrajria, Pierluigi Moseneder
dc.creatorPapi, Paolo
dc.date2007-04-25
dc.date2007-10-02
dc.date.accessioned2026-07-07T10:08:50Z
dc.date.available2026-07-07T10:08:50Z
dc.descriptionWe extend classical results of Kostant and al. on multiplets of representations of finite-dimensional Lie algebras and on the cubic Dirac operator to the setting of affine Lie algebras and twisted affine cubic Dirac operator. We prove in this setting an analogue of Vogan's conjecture on infinitesimal characters of Harish-Chandra modules in terms of Dirac cohomology. For our calculations we use the machinery of Lie conformal and vertex algebras.
dc.descriptionLatex file, 89 pages. Several misprints corrected. To appear in Advances in Mathematics
dc.identifierhttps://arxiv.org/abs/0704.3342
dc.identifierhttp://arxiv.org/abs/0704.3342
dc.identifierAdv. Math. 217 (2008), no. 6, 2485--2562.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171134
dc.subjectRepresentation Theory
dc.titleMultiplets of representations, twisted Dirac operators and Vogan's conjecture in affine setting
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