28 citations · 56 across the 5 of their papers we have counts for
5 papers
Leibniz algebras with an abelian subalgebra of codimension tw0
A. Fernandez Ouaridi, D. A. Towers
A characterization of the finite-dimensional Leibniz algebras with an abelian subalgebra of codimension two over a field of characteristic is given. In short,…
On the simple transposed Poisson algebras and Jordan superalgebras
Amir Fernández Ouaridi
We prove that a transposed Poisson algebra is simple if and only if its associated Lie bracket is simple. Consequently, any simple finite-dimensional transposed Poisson algebra ove…
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…
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…
The classification of -dimensional anticommutative algebras with -dimensional annihilator
Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov
We give the classification of all -dimensional anticommutative complex algebras with -dimensional annihilator. Namely, we describe all central extensions of all -dimen…