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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Main Authors: Khudoyberdiyev, Abror Khakimovich, Sattarovich, Rakhimov Isamiddin, Said Husain, Sharifah Kartini
Format: Article
Published: Elsevier 2014
Online Access:http://psasir.upm.edu.my/id/eprint/34723/
http://www.sciencedirect.com/science/article/pii/S0024379514003255
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Institution: Universiti Putra Malaysia
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spelling my.upm.eprints.347232015-12-21T12:19:24Z http://psasir.upm.edu.my/id/eprint/34723/ On classification of 5-dimensional solvable Leibniz algebras Khudoyberdiyev, Abror Khakimovich Sattarovich, Rakhimov Isamiddin Said Husain, Sharifah Kartini 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. Elsevier 2014-09-15 Article PeerReviewed Khudoyberdiyev, Abror Khakimovich and Sattarovich, Rakhimov Isamiddin and Said Husain, Sharifah Kartini (2014) On classification of 5-dimensional solvable Leibniz algebras. Linear Algebra and Its Applications, 457. pp. 428-454. ISSN 0024-3795; ESSN: 1873-1856 http://www.sciencedirect.com/science/article/pii/S0024379514003255 10.1016/j.laa.2014.05.034
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description 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.
format Article
author Khudoyberdiyev, Abror Khakimovich
Sattarovich, Rakhimov Isamiddin
Said Husain, Sharifah Kartini
spellingShingle Khudoyberdiyev, Abror Khakimovich
Sattarovich, Rakhimov Isamiddin
Said Husain, Sharifah Kartini
On classification of 5-dimensional solvable Leibniz algebras
author_facet Khudoyberdiyev, Abror Khakimovich
Sattarovich, Rakhimov Isamiddin
Said Husain, Sharifah Kartini
author_sort Khudoyberdiyev, Abror Khakimovich
title On classification of 5-dimensional solvable Leibniz algebras
title_short On classification of 5-dimensional solvable Leibniz algebras
title_full On classification of 5-dimensional solvable Leibniz algebras
title_fullStr On classification of 5-dimensional solvable Leibniz algebras
title_full_unstemmed On classification of 5-dimensional solvable Leibniz algebras
title_sort on classification of 5-dimensional solvable leibniz algebras
publisher Elsevier
publishDate 2014
url http://psasir.upm.edu.my/id/eprint/34723/
http://www.sciencedirect.com/science/article/pii/S0024379514003255
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