Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6416383 | Linear Algebra and its Applications | 2015 | 17 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
I.A. Karimjanov, A.Kh. Khudoyberdiyev, B.A. Omirov,