Classification of solvable Leibniz algebras with null-filiform nilradical
Rings and Algebras
2012-02-24 v1
Abstract
In this paper we classify solvable Leibniz algebras whose nilradical is a null-filiform algebra. We extend the obtained classification to the case when the solvable Leibniz algebra is decomposed as a direct sum of its nilradical, which is a direct sum of null-filiform ideals, and a one-dimensional complementary subspace. Moreover, in this case we establish that these ideals are ideals of the algebra, as well.
Keywords
Cite
@article{arxiv.1202.5275,
title = {Classification of solvable Leibniz algebras with null-filiform nilradical},
author = {J. M. Casas and M. Ladra and B. A. Omirov and I. A. Karimjanov},
journal= {arXiv preprint arXiv:1202.5275},
year = {2012}
}
Comments
13 pages