English

Some isomorphism results for graded twistings of function algebras on finite groups

Quantum Algebra 2020-03-12 v1

Abstract

We provide isomorphism results for Hopf algebras that are obtained as graded twistings of function algebras on finite groups by cocentral actions of cyclic groups. More generally , we also consider the isomorphism problem for finite-dimensional Hopf algebras fitting into abelian cocentral extensions. We apply our classification results to a number of concrete examples involving special linear groups over finite fields, alternating groups and dihedral groups.

Keywords

Cite

@article{arxiv.2003.05172,
  title  = {Some isomorphism results for graded twistings of function algebras on finite groups},
  author = {Julien Bichon and Maeva Paradis},
  journal= {arXiv preprint arXiv:2003.05172},
  year   = {2020}
}