Symplectic reflection algebras in positive characteristic

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dc.creatorBrown, Kenneth A.
dc.creatorChangtong, Kanokporn
dc.date2007-09-14
dc.date.accessioned2026-07-07T08:29:42Z
dc.date.available2026-07-07T08:29:42Z
dc.descriptionBasic properties of symplectic reflection algebras over an algebraically closed field k of positive characteristic are laid out. These algebras are always finite modules over their centres, in contrast to the situation in characteristic 0. For the subclass of rational Cherednik algebras, we determine the PI-degree and the Goldie rank, and show that the Azumaya and smooth loci of the centre coincide.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/0709.2338
dc.identifierhttp://arxiv.org/abs/0709.2338
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/138029
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.subject16E65;16S80;16S35
dc.titleSymplectic reflection algebras in positive characteristic
dc.typetext

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