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arXiv · 1308.6011

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

Chelsea Walton·Sarah Witherspoon
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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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Chelsea Walton, Sarah Witherspoon. 2017-04-28. Poincare-Birkhoff-Witt deformations of smash product algebras from Hopf actions on Koszul algebras. https://doi.org/10.2140/ant.2014.8.1701

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