Harish-Chandra bimodules for quantized Slodowy slices

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dc.creatorGinzburg, Victor
dc.date2008-07-02
dc.date2009-05-05
dc.date.accessioned2026-07-07T13:11:07Z
dc.date.available2026-07-07T13:11:07Z
dc.descriptionThe Slodowy slice is an especially nice slice to a given nilpotent conjugacy class in a semisimple Lie algebra. Premet introduced noncommutative quantizaions of the Poisson algebra of polynomial functions on the Slodowy slice. In this paper, we define and study Harish-Chandra bimodules over Premet's algebras. We apply the technique of Harish-Chandra bimodules to prove a conjecture of Premet concerning primitive ideals, and to construct `noncommutative resolutions' of Slodowy slices via translation functors.
dc.descriptionFinal version to appear in Represent. Theory
dc.identifierhttps://arxiv.org/abs/0807.0339
dc.identifierhttp://arxiv.org/abs/0807.0339
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229189
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.titleHarish-Chandra bimodules for quantized Slodowy slices
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