English

Hopf actions and Nakayama automorphisms

Rings and Algebras 2014-04-08 v2 Quantum Algebra

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 S^2 of H when H coacts on A inner-faithfully. Several applications pertaining to Hopf actions on Artin-Schelter regular algebras are given.

Cite

@article{arxiv.1210.6432,
  title  = {Hopf actions and Nakayama automorphisms},
  author = {Kenneth Chan and Chelsea Walton and James Zhang},
  journal= {arXiv preprint arXiv:1210.6432},
  year   = {2014}
}

Comments

22 pages. To appear in J. Algebra

R2 v1 2026-06-21T22:26:52.438Z