On partial actions of Hopf-Ore extensions
Representation Theory
2024-10-28 v1 Quantum Algebra
Rings and Algebras
Abstract
In this work we study how to extend a partial action of a Hopf Algebra on an algebra to a partial action of a Hopf-Ore extension of on . As consequence, we characterize all partial actions of rank one Hopf algebras (in particular, generalized Taft algebras and Radford algebras), under suitable conditions.
Cite
@article{arxiv.2410.19625,
title = {On partial actions of Hopf-Ore extensions},
author = {João M. J. Giraldi and Grasiela Martini and Leonardo D. Silva},
journal= {arXiv preprint arXiv:2410.19625},
year = {2024}
}
Comments
27 pages. The second and third author were partially supported by FAPERGS (Brazil), projects n. 23/2551-0000803-3 and 23/2551-0000913-7, respectively