On Cores in Yetter-Drinfel'd Hopf Algebras
Rings and Algebras
2021-12-24 v1 Quantum Algebra
Representation Theory
Abstract
By constructing explicit examples, we show that the core of a group-like element in a cocommutative cosemisimple Yetter-Drinfel'd Hopf algebra over the group ring of a finite abelian group is not always completely trivial.
Keywords
Cite
@article{arxiv.1908.07620,
title = {On Cores in Yetter-Drinfel'd Hopf Algebras},
author = {Yevgenia Kashina and Yorck Sommerhaeuser},
journal= {arXiv preprint arXiv:1908.07620},
year = {2021}
}
Comments
37 pages. See also https://www.math.mun.ca/~sommerh/