Examples of non-semisimple Hopf algebra actions on Artin-Schelter regular algebras

Published 4 Aug 2020 in math.RA | (2008.01289v1)

Abstract: Let $\Bbbk$ be a base field of characteristic $p>0$ and let $U$ be the restricted enveloping algebra of a 2-dimensional nonabelian restricted Lie algebra. We classify all inner-faithful $U$-actions on noetherian Koszul Artin-Schelter regular algebras of global dimension up to three.

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