Skew Derivations and Deformations of a Family of Group Crossed Products Academic Article uri icon

abstract

  • 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. Copyright Taylor & Francis Group, LLC.

published proceedings

  • Communications in Algebra

author list (cited authors)

  • Witherspoon, S.

citation count

  • 7

complete list of authors

  • Witherspoon, Sarah

publication date

  • November 2006