On finite-dimensional copointed Hopf algebras over dihedral groups
Quantum Algebra
2021-12-24 v3
Abstract
We classify all finite-dimensional Hopf algebras over an algebraically closed field of characteristic zero such that its coradical is isomorphic to the algebra of functions over a dihedral group D_m, with m=4a> 11. We obtain this classification by means of the lifting method, where we use cohomology theory to determine all possible deformations. Our result provides an infinite family of new examples of finite-dimensional copointed Hopf algebras over dihedral groups.
Keywords
Cite
@article{arxiv.1608.06167,
title = {On finite-dimensional copointed Hopf algebras over dihedral groups},
author = {Fernando Fantino and Gaston Andres Garcia and Mitja Mastnak},
journal= {arXiv preprint arXiv:1608.06167},
year = {2021}
}
Comments
This version: Minor changes, mainly on exposition following referee's advice. To appear in J. Pure Applied Algebra