Deforming group actions on Koszul algebras Academic Article

abstract

• 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.

authors

• Witherspoon, Sarah

published proceedings

• Mathematical Research Letters

author list (cited authors)

• Shepler, A. V., & Witherspoon, S.

citation count

• 1

publication date

• January 2018

publisher

• International Press of Boston  Publisher

published in

• Mathematical Research Letters  Journal

Digital Object Identifier (DOI)

• 10.4310/mrl.2018.v25.n5.a12

start page

• 1613

end page

• 1644

volume

• 25

issue

• 5

URL

• http://dx.doi.org/10.4310/mrl.2018.v25.n5.a12