English

Hopf actions on filtered regular algebras

Rings and Algebras 2013-09-05 v2 Quantum Algebra

Abstract

We study finite dimensional Hopf algebra actions on so-called filtered Artin-Schelter regular algebras of dimension n, particularly on those of dimension 2. The first Weyl algebra is an example of such on algebra with n=2, for instance. Results on the Gorenstein condition and on the global dimension of the corresponding fixed subrings are also provided.

Keywords

Cite

@article{arxiv.1211.6513,
  title  = {Hopf actions on filtered regular algebras},
  author = {Kenneth Chan and Chelsea Walton and Yanhua Wang and James Zhang},
  journal= {arXiv preprint arXiv:1211.6513},
  year   = {2013}
}

Comments

25 pages. To appear in J. Algebra

R2 v1 2026-06-21T22:45:15.207Z