Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids
Quantum Algebra
2025-02-05 v2
Abstract
We construct Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids as a generalization of the theory for Hopf algebras. More precisely, we show that the categories of Hopf bimodules and Yetter-Drinfeld modules over a Hopf algebroid are equivalent (pre-)braided monoidal categories. Moreover, we also study the duality between finitely generated projective Yetter-Drinfeld modules.
Cite
@article{arxiv.2312.03595,
title = {Hopf bimodules and Yetter-Drinfeld modules of Hopf algebroids},
author = {Xiao Han},
journal= {arXiv preprint arXiv:2312.03595},
year = {2025}
}