Products in Hochschild cohomology and Grothendieck rings of group crossed products

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dc.creatorWitherspoon, Sarah J.
dc.date2002-11-30
dc.date.accessioned2026-07-07T04:53:25Z
dc.date.available2026-07-07T04:53:25Z
dc.descriptionWe give a general construction of rings graded by the conjugacy classes of a finite group. Some examples of our construction are the Hochschild cohomology ring of a finite group algebra, the Grothendieck ring of the Drinfel'd double of a group, and the orbifold cohomology ring for a global quotient. We generalize the first two examples by deriving product formulas for the Hochschild cohomology ring of a group crossed product and for the Grothendieck ring of an abelian extension of Hopf algebras. Our results account for similarities in the product structures among these examples.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0212003
dc.identifierhttp://arxiv.org/abs/math/0212003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65844
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject16E40
dc.titleProducts in Hochschild cohomology and Grothendieck rings of group crossed products
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