Skew Derivations and Deformations of a Family of Group Crossed Products

Details Skew Derivations and Deformations of a Family of Group Crossed Products Skew Derivations and Deformations of a Family of Group Crossed Products

2005-06-08

arxiv.org/abs/math/0506154v2

Mathematics

Rings and Algebras

19 pages, new title, material added, to appear in Communications in Algebra

Scientific paper

We obtain deformations of a crossed product of a polynomial algebra with a group, under some conditions, from universal deformation formulas. We show that the resulting deformations are nontrivial by a comparison with Hochschild cohomology. The universal deformation formulas arise from actions of Hopf algebras generated by automorphisms and skew derivations, and are universal in the sense that they apply to deform all algebras with such Hopf algebra actions.

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