Yetter-Drinfeld-Long bimodules are modules
Rings and Algebras
2016-05-10 v2
Abstract
Let be a finite dimensional bialgebra. In this paper, we prove that the category of Yetter-Drinfeld-Long bimodules is isomorphic to the Yetter-Drinfeld category over the tensor product bialgebra as monoidal category. Moreover if is a Hopf algebra with bijective antipode, the isomorphism is braided.
Cite
@article{arxiv.1512.08588,
title = {Yetter-Drinfeld-Long bimodules are modules},
author = {Daowei Lu and Shuanhong Wang},
journal= {arXiv preprint arXiv:1512.08588},
year = {2016}
}
Comments
to appear in Czechoslovak Mathematical Journal