Deforming group actions on Koszul algebras
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2018 International Press of Boston, Inc.. All rights reserved. We give Braverman-Gaitsgory style conditions for general PBW deformations of skew group algebras formed from finite groups acting on Koszul algebras. When the characteristic divides the order of the group, this includes deformations of the group action as well as of the Koszul relations. Techniques involve a twisted product resolution and the Gerstenhaber bracket on Hochschild cohomology expressed explicitly for cocycles on this resolution.
Mathematical Research Letters
author list (cited authors)
Shepler, A. V., & Witherspoon, S.