3 papers
math.RA2022
Degenerations of Poisson algebras
Hani Abdelwahab, Amir Fernández Ouaridi, Cándido Martín González
We construct a method to obtain the algebraic classification of Poisson algebras defined on a commutative associative algebra, and we apply it to obtain the classification of the $…
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…
math.RA2019
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…