Solvable Leibniz algebras with triangular nilradicals

I.A Karimjanov,A.Kh Khudoyberdiyev,B.A Omirov

doi:10.1016/j.laa.2014.10.036

Solvable Leibniz algebras with triangular nilradicals

I.A Karimjanov, A.Kh Khudoyberdiyev + Show 1 more

Open Access

https://doi.org/10.1016/j.laa.2014.10.036

Copy DOI

Journal: Linear Algebra and Its Applications	Publication Date: Nov 18, 2014
Citations: 13

Affiliation: National University of Uzbekistan

#Solvable Leibniz Algebras #Leibniz Algebras + Show 8 more

Abstract
Full-Text PDF
Similar Papers

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 the right operators on the elements of Leibniz algebra have the 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 the low dimensions are classified.

Full Text