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.
- Artin-Schelter regular algebra
- Hopf algebra action
- Nakayama automorphism
ASJC Scopus subject areas
- Algebra and Number Theory