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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Institution:	Universiti Putra Malaysia
Language:	English English

id	my.upm.eprints.24919
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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

Enveloping lie algebras of low dimensional leibniz algebras.

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