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Enveloping lie algebras of low dimensional leibniz algebras.

We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) t...

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Main Authors: Amini, Massoud, Sattarovich, Rakhimov Isamiddin, Langari, Seyed Jalal
Format: Article
Language:English
English
Published: Scientific Research Publishing 2011
Online Access:http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf
http://psasir.upm.edu.my/id/eprint/24919/
http://www.scirp.org/
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spelling my.upm.eprints.249192015-10-08T07:18:27Z http://psasir.upm.edu.my/id/eprint/24919/ Enveloping lie algebras of low dimensional leibniz algebras. Amini, Massoud Sattarovich, Rakhimov Isamiddin Langari, Seyed Jalal We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional Leibniz algebras. Scientific Research Publishing 2011 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf Amini, Massoud and Sattarovich, Rakhimov Isamiddin and Langari, Seyed Jalal (2011) Enveloping lie algebras of low dimensional leibniz algebras. Applied Mathematics, 2 (8). pp. 1027-1030. ISSN 2152-7385; ESSN:2152-7393 http://www.scirp.org/ 10.4236/am.2011.28142 English
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/
language English
English
description We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional Leibniz algebras.
format Article
author Amini, Massoud
Sattarovich, Rakhimov Isamiddin
Langari, Seyed Jalal
spellingShingle Amini, Massoud
Sattarovich, Rakhimov Isamiddin
Langari, Seyed Jalal
Enveloping lie algebras of low dimensional leibniz algebras.
author_facet Amini, Massoud
Sattarovich, Rakhimov Isamiddin
Langari, Seyed Jalal
author_sort Amini, Massoud
title Enveloping lie algebras of low dimensional leibniz algebras.
title_short Enveloping lie algebras of low dimensional leibniz algebras.
title_full Enveloping lie algebras of low dimensional leibniz algebras.
title_fullStr Enveloping lie algebras of low dimensional leibniz algebras.
title_full_unstemmed Enveloping lie algebras of low dimensional leibniz algebras.
title_sort enveloping lie algebras of low dimensional leibniz algebras.
publisher Scientific Research Publishing
publishDate 2011
url http://psasir.upm.edu.my/id/eprint/24919/1/Enveloping%20lie%20algebras%20of%20low%20dimensional%20leibniz%20algebras.pdf
http://psasir.upm.edu.my/id/eprint/24919/
http://www.scirp.org/
_version_ 1643828504122359808
score 13.160551

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