Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras
arXiv:1308.6011 · doi:10.2140/ant.2014.8.1701
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.
v4: The hypothesis that dim(V) \geq 3 in main result has been removed as it was not needed