Hopf actions and Nakayama automorphisms

Published 24 Oct 2012 in math.RA and math.QA | (1210.6432v2)

Abstract: Let H be a Hopf algebra with antipode S, and let A be an N-Koszul Artin-Schelter regular algebra. We study connections between the Nakayama automorphism of A and S² of H when H coacts on A inner-faithfully. Several applications pertaining to Hopf actions on Artin-Schelter regular algebras are given.

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