English

On some H-Galois objects which are distinguished by their polynomial H-identities

Rings and Algebras 2022-03-22 v1 Quantum Algebra

Abstract

When k is an algebraically closed field of characteristic 0 and H is a non-semisimple monomial Hopf algebra, we show that all Galois objects over H are determined up to H-comodule algebra isomorphism by their polynomial H-identities, extending a previous result by Kassel.

Keywords

Cite

@article{arxiv.2203.10619,
  title  = {On some H-Galois objects which are distinguished by their polynomial H-identities},
  author = {Waldeck Schützer and Abel Gomes de Oliveira},
  journal= {arXiv preprint arXiv:2203.10619},
  year   = {2022}
}