English

Frobenius Divisibility and Hopf Centers

Rings and Algebras 2017-04-19 v2

Abstract

A classical theorem of I. Schur states that the degree of any irreducible complex representation of a finite group GG divides the order of G/ZGG/\mathscr{Z} G, where ZG\mathscr{Z} G is the center GG. This note discusses similar divisibility results for certain classes of Hopf algebras.

Keywords

Cite

@article{arxiv.1704.04256,
  title  = {Frobenius Divisibility and Hopf Centers},
  author = {Adam Jacoby},
  journal= {arXiv preprint arXiv:1704.04256},
  year   = {2017}
}
R2 v1 2026-06-22T19:17:02.966Z