16 citations · 50 across the 12 of their papers we have counts for
7 papers · 1 filter
On the structure of graded Lie superalgebras
Antonio J. Calderón, José M. Sanchez
We study the structure of graded Lie superalgebras with arbitrary dimension and over an arbitrary field . We show that any of such algebras with a symm…
Modules over linear spaces admitting a multiplicative basis
Antonio J. Calderón, Francisco J. Navarro Izquierdo, José M. Sánchez
We study the structure of certain modules over linear spaces with restrictions neither on the dimensions nor on the base field . A basis $\mathfrak B = \{v_i\}_{…
Quadratic symplectic Lie superalgebras over filiform modules
Elisabete Barreiro, Saïd Benayadi, Rosa M. Navarro +1
The present work studies deeply quadratic symplectic Lie superalgebras, obtaining, in particular, that they are all nilpotent. Consequently, we provide classifications in low dimen…
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…
Odd-quadratic Lie superalgebras with a weak filiform module as an odd part
Elisabete Barreiro, Saïd Benayadi, Rosa M. Navarro +1
The aim of this work is to study a very special family of odd-quadratic Lie superalgebras such that ${\mathfrak…
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…