3 papers
math.RT2026
The monoidal structure of the category of partial representations of finite groups
Arthur R. Alves Neto, Eliezer Batista, Javier Méndez
In this work, we analyze the structure of the category of partial representations of a finite group as a multifusion category, providing an alternative way to describe simple o…
math.RA2025
On partial representations of pointed Hopf algebras
Arthur Rezende Alves Neto, Marcelo Muniz Alves
Partial representations of Hopf algebras were motivated by the theory of partial representations of groups. Alves, Batista e Vercruysse introduced partial representations of a Hopf…
math.QA2024
Partial representations of connected and smash product Hopf algebras
Tiago Luiz Ferrazza, William Hautekiet, Arthur Alves Neto
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…