Abelian extensions of five-dimensional solvable Leibniz algebras
Rings and Algebras
2025-11-25 v2
Abstract
In this work, we extend the central extension method for solvable Leibniz algebras. Using this method, a complete classification of one-dimensional abelian extensions of five-dimensional solvable Leibniz algebras with a non-trivial three-dimensional nilradical is obtained. Furthermore, we explore extensions of solvable Leibniz algebras whose nilradical is null-filiform, establishing that, in this case, there exists a unique solvable abelian extension.
Cite
@article{arxiv.2506.23528,
title = {Abelian extensions of five-dimensional solvable Leibniz algebras},
author = {A. Kh. Khudoyberdiyev and S. A. Sheraliyeva},
journal= {arXiv preprint arXiv:2506.23528},
year = {2025}
}