English

Weak integral forms and the sixth Kaplansky conjecture

Quantum Algebra 2019-07-08 v1 Rings and Algebras Representation Theory

Abstract

It is a short unpublished note from 1998. I make it public because Cuadra and Meir refer to it in their paper. We precisely state and prove a folklore result that if a finite dimensional semisimple Hopf algebra admits a weak integral form then it is of Frobenius type. We use an argument similar to that of Fossum \cite{fos}, which predates the Kaplansky conjectures.

Keywords

Cite

@article{arxiv.1907.02529,
  title  = {Weak integral forms and the sixth Kaplansky conjecture},
  author = {Dmitriy Rumynin},
  journal= {arXiv preprint arXiv:1907.02529},
  year   = {2019}
}

Comments

unpublished note from 1998

R2 v1 2026-06-23T10:12:33.990Z