78 citations · 181 across the 16 of their papers we have counts for
11 papers · 1 filter
A comonadicity theorem for partial comodules
Eliezer Batista, William Hautekiet, Joost Vercruysse
We show that the category of partial comodules over a Hopf algebra is comonadic over and provide an explicit construction of this comonad using topological vecto…
Partial corepresentations of Hopf Algebras
Marcelo Muniz S . Alves, Eliezer Batista, Felipe Castro +2
We introduce the notion of a partial corepresentation of a given Hopf algebra over a coalgebra and the closely related concept of a partial -comodule. We prove that ther…
Cohomology for partial actions of Hopf algebras
Eliezer Batista, Alda D. M. Mortari, Mateus M. Teixeira
In this work, the cohomology theory for partial actions of co-commutative Hopf algebras over commutative algebras is formulated. This theory generalizes the cohomology theory for H…
Partial actions: What they are and why we care
Eliezer Batista
In this work, we give a survey of recent developments in the theory of partial actions of groups and Hopf algebras.
Dual Constructions for Partial Actions of Hopf Algebras
Eliezer Batista, Joost Vercruysse
The duality between partial actions (partial -module algebras) and co-actions (partial -comodule algebras) of a Hopf algebra is fully explored in this work. A connection…
Partial Representations of Hopf Algebras
Marcelo Muniz S. Alves, Eliezer Batista, Joost Vercruysse
In this work, the notion of partial representation of a Hopf algebra is introduced and its relationship with partial actions of Hopf algebras is explored. Given a Hopf algebra ,…