Homologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques

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dc.creatorRichard, Lionel
dc.date2002-07-08
dc.date.accessioned2026-07-07T06:33:35Z
dc.date.available2026-07-07T06:33:35Z
dc.descriptionWe study Hochschild homology and cohomology for some polynomial algebras mixing both ``classical'' relations ($XY-YX=1$) and ``quantum'' relations ($XY=łYX$). More specifically, we prove that the algebra of differential operators on any quantum affine space (quantum Weyl algebra) have the same Hochschild homology, and satisfy the same duality relation, as the classical Weyl algebra does.
dc.description41 pages, article in french
dc.identifierhttps://arxiv.org/abs/math/0207073
dc.identifierhttp://arxiv.org/abs/math/0207073
dc.identifierJournal of Pure and Applied Algebra, Volume 187, Issues 1-3 , 1 March 2004, Pages 255-294
dc.identifierdoi:10.1016/S0022-4049(03)00146-4
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/99242
dc.subjectQuantum Algebra
dc.subject16E40,16S36,16S32,16W35
dc.titleHomologie et cohomologie de Hochschild de certaines algebres polynomiales classiques et quantiques
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