Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras

Published 27 Aug 2013 in math.RA, math.QA, and math.RT | (1308.6011v4)

Abstract: Let H be a Hopf algebra and let B be a Koszul H-module algebra. We provide necessary and sufficient conditions for a filtered algebra to be a Poincare-Birkhoff-Witt (PBW) deformation of the smash product algebra B#H. Many examples of these deformations are given.

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