Primitive ideals, non-restricted representations and finite W-algebras

dc.creatorPremet, Alexander
dc.date2006-12-16
dc.date2007-04-20
dc.date.accessioned2026-07-07T07:57:26Z
dc.date.available2026-07-07T07:57:26Z
dc.descriptionWe prove that all finite W-algebras associated with nilpotent elements e in a complex semisimple Lie algebra g have finite-dimensional representations. In order to obtain this result we establish a connection between primitive ideals of U(g) attached to the nilpotent orbit containing e and finite-dimensional representations of the reduced enveloping algebra assiciated with e over an algebraically closed field of finite characteristic.
dc.description19 pages, minor corrections and up-dates, the new version is accepted for publication
dc.identifierhttps://arxiv.org/abs/math/0612465
dc.identifierhttp://arxiv.org/abs/math/0612465
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/127646
dc.subjectRepresentation Theory
dc.subjectQuantum Algebra
dc.subject17B35; 17B63; 17B81
dc.titlePrimitive ideals, non-restricted representations and finite W-algebras
dc.typetext

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