47 citations · 125 across the 9 of their papers we have counts for
10 papers
On split regular Hom-Lie superalgebras
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
We introduce the class of split regular Hom-Lie superalgebras as the natural extension of the one of split Hom-Lie algebras and Lie superalgebras, and study its structure by showin…
Leibniz algebras and graphs
Elisabete Barreiro, Antonio J. Calderón, Samuel Lopes +1
We consider a Leibniz algebra over an arbitrary base field , being the ideal generated by the produ…
Decompositions of linear operators on pre-euclidean spaces by means of graphs
Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón +1
In this work we study a linear operator on a pre-euclidean space by using properties of a corresponding graph. Given a basis $\B$ of , we present a d…
Leibniz superalgebras with a set grading
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
Consider a Leibniz superalgebra additionally graded by an arbitrary set (set grading). We show that decomposes as the sum of well-described graded i…
The algebraic and geometric classification of nilpotent binary Lie algebras
Hani Abdelwahab, Antonio Jesús Calderón, Ivan Kaygorodov
The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension over an arbitrary base field of characteris…
The classification of -dimensional rigid algebras
Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov
Using the algebraic classification of all -dimensional algebras, we give the algebraic classification of all -dimensional rigid, conservative and terminal algebras over an al…