On classification of 5-dimensional solvable Leibniz algebras

In the paper we describe 5-dimensional solvable Leibniz algebras with three-dimensional nilradical. Since those 5-dimensional solvable Leibniz algebras whose nilradical is three-dimensional Heisenberg algebra have been classified before we focus on the rest cases. The result of the paper together wi...

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Bibliographic Details
Published in:Linear algebra and its applications 2014-09, Vol.457, p.428-454
Main Authors: Khudoyberdiyev, A.Kh, Rakhimov, I.S., Said Husain, Sh.K.
Format: Article
Language:English
Subjects:
Derivation
Leibniz algebra
Nilpotency
Nilradical
Solvability
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Summary:In the paper we describe 5-dimensional solvable Leibniz algebras with three-dimensional nilradical. Since those 5-dimensional solvable Leibniz algebras whose nilradical is three-dimensional Heisenberg algebra have been classified before we focus on the rest cases. The result of the paper together with Heisenberg nilradical case gives complete classification of all 5-dimensional solvable Leibniz algebras with three-dimensional nilradical.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2014.05.034