Indicators of Hopf algebras in positive characteristic
Representation Theory
2019-02-21 v2
Abstract
The notion of -th indicator for a finite-dimensional Hopf algebra was introduced by Kashina, Montgomery and Ng as gauge invariance of the monoidal category of its representations. The properties of these indicators were further investigated by Shimizu. In this short note, we show that the indicators appearing in positive characteristic all share the same sequence pattern if we assume the coradical of the Hopf algebra is a local Hopf subalgebra.
Keywords
Cite
@article{arxiv.1704.05382,
title = {Indicators of Hopf algebras in positive characteristic},
author = {Linhong Wang and Xingting Wang},
journal= {arXiv preprint arXiv:1704.05382},
year = {2019}
}
Comments
7 pages; to appear in Archiv der Mathematik