4 citations · 7 across the 10 of their papers we have counts for
13 papers
One-dimensional partial actions of 8-dimensional Hopf algebras and right coideal subalgebras
Matheus Castelo, Leonardo Duarte Silva, William Hautekiet +1
In this work, we complete the description of the one-dimensional partial actions of 8-dimensional Hopf algebras by computing the remaining cases: the Kac-Paljutkin algebra $\mathca…
On the isotropy of differential Ore extensions
Rene Baltazar, Leonardo Duarte Silva, Grasiela Martini
Let Ah = k[x][t; d] be the differential Ore extension. We study the action of the automorphism group of Ah on the derivations of Ah and explicitly describe, using Nowicki's decompo…
On partial actions of Hopf-Ore extensions
João M. J. Giraldi, Grasiela Martini, Leonardo D. Silva
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 character…
Weak Hopf algebras arising from weak matched pairs
Graziela Fonseca, Grasiela Martini, Leonardo Silva
This work extends the idea of matched pairs presented by Majid in \cite{Majid} and Takeuchi in \cite{Takeuchi} for the context of weak bialgebras and weak Hopf algebras. We introdu…
Partial (co)actions of Taft and Nichols Hopf algebras on algebras
Graziela Fonseca, Grasiela Martini, Leonardo Silva
In this paper, we characterize suitable partial (co)actions of Taft and Nichols Hopf algebras on algebras, and moreover we get that such partial (co)actions are symmetric. For cert…
Partial Smash Coproduct of Multiplier Hopf Algebras
Graziela Fonseca, Eneilson Fontes, Grasiela Martini
In this work we define partial (co)actions on multiplier Hopf algebras, we also present examples and properties. From a partial comodule coalgebra we construct a partial smash copr…
Classifying partial (co)actions of Taft and Nichols Hopf algebras on their base fields
Graziela Fonseca, Grasiela Martini, Leonardo Silva
In this paper we determine all partial actions and partial coactions of Taft and Nichols Hopf algebras on their base fields. Furthermore, we prove that all such partial (co)actions…
Partial Coactions of Weak Hopf Algebras on Coalgebras
Graziela Fonseca, Eneilson Fontes, Grasiela Martini
It will be seen that if is a weak Hopf algebra in the definition of coaction of weak bialgebras on coalgebras \cite{Wang}, then a definition property is suppressed giving rise…
Partial Actions of a Hopf algebra on its base field and the corresponding partial smash product algebra
Grasiela Martini, Antonio Paques, Leonardo Duarte Silva
We introduce the concept of a -Hopf algebra as a Hopf algebra obtained as the partial smash product algebra of a Hopf algebra and its base field, and show that every Hopf algebr…
Hopf algebras arising from partial (co)actions
Danielle Azevedo, Grasiela Martini, Antonio Paques +1
In this paper, extending the idea presented by M. Takeuchi in [13], we introduce the notion of partial matched pair involving the concepts of partial action and partial coa…
Partial Actions of Weak Hopf Algebras on Coalgebras
Eneilson Campos, Grasiela Martini, Graziela Fonseca
In this work the notions of partial action of a weak Hopf algebra on a coalgebra and partial action of a groupoid on a coalgebra will be introduced, just as some important properti…
Multiplier Hopf Algebras: Globalization for partial actions
Eneilson Fontes, Graziela Fonseca, Grasiela Martini
In partial action theory, a pertinent question is whenever given a partial (co)action of a Hopf algebra A on an algebra R, it is possible to construct an enveloping (co)action. The…
Partial (Co)Actions of Multiplier Hopf Algebras: Morita and Galois Theories
D. Azevedo, E. Batista, G Fonseca +2
In this work we deal with partial (co)action of multiplier Hopf algebras on not necessarily unital algebras. Our main goal is to construct a Morita context relating the coinvariant…