Notes on Yetter-Drinfeld algebras over Hopf algebras
Quantum Algebra
2022-11-30 v2 Rings and Algebras
Abstract
In this work, we study another characterization of Yetter-Drinfeld algebras over finite-dimensional Hopf algebras. We show the equivalence between this characterization, called the "only coaction" characterization, and the standard "action-coaction" characterization. This modern approach for Yetter-Drinfeld algebras is one of the key ingredient in a self-dual theory of quantum transformation groupoids arising from actions of quantum groups.
Cite
@article{arxiv.2211.02189,
title = {Notes on Yetter-Drinfeld algebras over Hopf algebras},
author = {Frank Taipe},
journal= {arXiv preprint arXiv:2211.02189},
year = {2022}
}
Comments
49 pages. v2: minor changes; several improvements and corrections