Hopf actions and Nakayama automorphisms

Kenneth Chan, Chelsea Walton, James Zhang

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish (US)
Pages (from-to)26-53
Number of pages28
JournalJournal of Algebra
StatePublished - Jul 1 2014
Externally publishedYes


  • Artin-Schelter regular algebra
  • Hopf algebra action
  • Nakayama automorphism

ASJC Scopus subject areas

  • Algebra and Number Theory


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