Multiplicative structure on the Hochschild cohomology of crossed product algebras

dc.creatorAnno, Rina
dc.date2005-11-15
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:51:18Z
dc.date.available2026-07-07T06:51:18Z
dc.descriptionConsider a smooth affine algebraic variety $X$ over an algebraically closed field, and let a finite group $G$ act on it. We assume that the characteristic of the field is greater than the dimension of $X$ and the order of $G$. An explicit formula for multiplication on the Hochschild cohomology of a crossed product of $k[G]$ and $k[X]$ is given in terms of multivector fields on $X$ and $g$-invariant subvarieties of $X$ for $g\in G$.
dc.description9 pages; the Gerstenhaber bracket part withdrawn on 12/08/05 due to a gap in one of the proofs. Some references added
dc.identifierhttps://arxiv.org/abs/math/0511396
dc.identifierhttp://arxiv.org/abs/math/0511396
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/104942
dc.subjectQuantum Algebra
dc.subjectK-Theory and Homology
dc.titleMultiplicative structure on the Hochschild cohomology of crossed product algebras
dc.typetext

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