23 citations · 38 across the 6 of their papers we have counts for
6 papers
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…
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.
Finite-dimensional Nichols algebras over dual Radford algebras
Dirceu Bagio, Gastón A. García, João M. J. Giraldi +1
For , let be the dual of the Radford algebra of dimension . We present new finite-dimensional Nichols algebras arising from the study of simple…
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.
Liftings of Nichols algebras of diagonal type III. Cartan type
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 over a cosemi…
Liftings of Nichols algebras of diagonal type I. Cartan type A
Nicolás Andruskiewitsch, Iván Angiono, Agustín García Iglesias
After the classification of the finite-dimensional Nichols algebras of diagonal type arXiv:math/0411477, arXiv:math/0605795, the determination of its defining relations arXiv:1008.…