J. M. J. Giraldi

activity

20162024

collaborators

5 papers

math.RT2024

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 $A$ on an algebra $R$ to a partial action of a Hopf-Ore extension of $A$ on $R$ . As consequence, we character…

math.QA2020

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.

math.QA2019

Finite-dimensional Nichols algebras over dual Radford algebras

Dirceu Bagio, Gastón A. García, João M. J. Giraldi +1

For $n, m \in N$ , let $H_{n, m}$ be the dual of the Radford algebra of dimension $n^{2} m$ . We present new finite-dimensional Nichols algebras arising from the study of simple…

math.QA2017

Nichols algebras that are quantum planes

Nicolás Andruskiewitsch, João Matheus Jury Giraldi

We compute all Nichols algebras of rigid vector spaces of dimension 2 that admit a non-trivial quadratic relation.

math.QA2016

Liftings of Nichols algebras of diagonal type III. Cartan type $G_{2}$

Agustín García Iglesias, João Matheus Jury Giraldi

We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter-Drinfeld realization of a braided vector space of Cartan type $G_{2}$ over a cosemi…