Partial representations of connected and smash product Hopf algebras
Quantum Algebra
2024-04-29 v1 Rings and Algebras
Representation Theory
Abstract
We show that every partial representation of a connected Hopf algebra is global. Some interesting classes of partial representations of smash product Hopf algebras are studied, and a description of the partial "Hopf" algebra if the first tensorand is connected is given. If is cocommutative and has finitely many grouplikes, this allows to see as the weak Hopf algebra coming from a Hopf category.
Keywords
Cite
@article{arxiv.2404.17303,
title = {Partial representations of connected and smash product Hopf algebras},
author = {Tiago Luiz Ferrazza and William Hautekiet and Arthur Alves Neto},
journal= {arXiv preprint arXiv:2404.17303},
year = {2024}
}