5 papers
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…
Globalization and the biactegory of partial modules
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial modules over a Hopf algebra is a biactegory (a bimodule category) over the category of global -modules. The corresponding enrichment of…
Partial actions of groups on monoidal categories
Eliezer Batista, Felipe Lopes Castro, Mykola Khrypchenko
In this work, we introduce the notion of a partial action of a group on a strict monoidal category. We propose, in the context of Monoidal categories, new constructions analogous t…
Partial Hopf actions on generalized matrix algebras
Dirceu Bagio, Eliezer Batista, Hector Pinedo
Let be a field, a Hopf algebra over , and a generalized matrix algebra. In this work, we establish necessary and sufficient con…
Towards a classification of simple partial comodules of Hopf algebras
Eliezer Batista, William Hautekiet, Paolo Saracco +1
Making the first steps towards a classification of simple partial comodules, we give a general construction for partial comodules of a Hopf algebra \(H\) using central idempotents…