Solvable Leibniz algebras with triangular nilradicals
Rings and Algebras
2014-07-31 v1
Abstract
In this paper the description of solvable Lie algebras with triangular nilradicals is extended to Leibniz algebras. It is proven that the matrices of the left and right operators on elements of Leibniz algebra have upper triangular forms. We establish that solvable Leibniz algebra of a maximal possible dimension with a given triangular nilradical is a Lie algebra. Furthermore, solvable Leibniz algebras with triangular nilradicals of low dimensions are classified.
Cite
@article{arxiv.1407.7956,
title = {Solvable Leibniz algebras with triangular nilradicals},
author = {I. A. Karimjanov and A. Kh. Khudoyberdiyev and B. A. Omirov},
journal= {arXiv preprint arXiv:1407.7956},
year = {2014}
}
Comments
10 pages, Submitted to Linear Algebra and Its Applications(LAA) at 16.06.2014