Frobenius Divisibility for Hopf Algebras
Rings and Algebras
2015-11-09 v1
Abstract
We present a unified ring theoretic approach, based on properties of the Casimir element of a symmetric algebra, to a variety of known divisibility results for the degrees of irreducible representations of semisimple Hopf algebras in characteristic 0. All these results are motivated by a classical theorem of Frobenius on the degrees of irreducible complex representations of finite groups.
Cite
@article{arxiv.1511.02130,
title = {Frobenius Divisibility for Hopf Algebras},
author = {Adam Jacoby and Martin Lorenz},
journal= {arXiv preprint arXiv:1511.02130},
year = {2015}
}