1 citations · 2 across the 7 of their papers we have counts for
9 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…
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 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…
Examples of Nichols algebras associated to upper triangular solutions of the Yang-Baxter equation in rank 3
João Matheus Jury Giraldi, Leonardo Duarte Silva
We determine some Nichols algebras that admit a non-trivial quadratic relation associated to some families of upper triangular solutions of the Yang-Baxter equation of dimension 3.
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…