3 papers
math.RA2024
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,…
math.RA2023
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…
math.RA2022
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…