28 citations · 35 across the 5 of their papers we have counts for
6 papers
The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four
Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón +1
In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this metho…
Graded Lie-Rinehart algebras
Elisabete Barreiro, Antonio J. Calderón, Rosa M. Navarro +1
We introduce the class of graded Lie-Rinehart algebras as a natural generalization of the one of graded Lie algebras. For an abelian group, we show that if is a tight -g…
Classification of bilinear maps with radical of codimension 2
Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov
Let be an -dimensional linear space over an algebraically closed base field. We provide a classification, up to equivalence, of all of the bilinear maps $f:{\mathb…
Decompositions of linear spaces induced by -linear maps
Antonio Jesús Calderón, Ivan Kaygorodov, Paulo Saraiva
Let be an arbitrary linear space and an -linear map. It is proved that, for each choice of a basis ${\math…
Abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras
Antonio Calderón, Luisa Camacho, Ivan Kaygorodov +1
We classify, up to equivalences, all abelian groups gradings on null-filiform and one-parametric filiform Leibniz algebras. Any grading on a null-filiform Leibniz algebra is toral…
Split Lie-Rinehart algebras
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
We introduce the class of split Lie-Rinehart algebras as the natural extension of the one of split Lie algebras. We show that if is a tight split Lie-Rinehart algebra over an a…