6 citations · 19 across the 12 of their papers we have counts for
12 papers
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…
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…
Zinbiel superalgebras
Luisa María Camacho, Amir Fernández Ouaridi, Ivan Kaygorodov +1
Throughout the current paper, we extend the study of Zinbiel algebras to Zinbiel superalgebras. In particular, we show that all the Zinbiel superalgebras over an arbitrary field ar…
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…
Cohomologically rigid solvable Lie superalgebras with model filiform and model nilpotent nilradical
S. Bouarroudj, R. M. Navarro
In this paper, we find a family , in any arbitrary dimensions, of cohomologically rigid solvable Lie superalgebras with nilradical the model filiform Lie superalgebra $L^…
On Solvable Lie and Leibniz Superalgebras with maximal codimension of nilradical
L. M. Camacho, R. M. Navarro, B. A. Omirov
Along this paper we show that under certain conditions the method for describing of solvable Lie and Leibniz algebras with maximal codimension of nilradical is also extensible to L…