On lie-like filiform Leibniz algebras.

In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to cont...

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Main Authors:	Omirov, B. A., Sattarovich, Rakhimov Isamiddin
Format:	Article
Language:	English
Published:	Australian Mathematical Society 2009
Online Access:	http://psasir.upm.edu.my/id/eprint/15903/
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Institution:	Universiti Putra Malaysia
Language:	English

id	my.upm.eprints.15903
record_format	eprints
spelling	my.upm.eprints.159032013-10-16T03:31:41Z http://psasir.upm.edu.my/id/eprint/15903/ On lie-like filiform Leibniz algebras. Omirov, B. A. Sattarovich, Rakhimov Isamiddin In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to control the behavior of the structure constants under adapted transformations of basis is presented. In one particular case, the precise formulas for less than 10 dimensions are given. We provide a computer program in Maple that can be used in computations as well. Australian Mathematical Society 2009 Article PeerReviewed Omirov, B. A. and Sattarovich, Rakhimov Isamiddin (2009) On lie-like filiform Leibniz algebras. Bulletin of the Australian Mathematical Society, 79 (-). pp. 391-404. ISSN 0004-9727 10.1017/S000497270900001X 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
description	In this paper we propose an approach to classifying a subclass of filiform Leibniz algebras. This subclass arises from the naturally graded filiform Lie algebras. We reconcile and simplify the structure constants of such a class. In the arbitrary fixed dimension case an effective algorithm to control the behavior of the structure constants under adapted transformations of basis is presented. In one particular case, the precise formulas for less than 10 dimensions are given. We provide a computer program in Maple that can be used in computations as well.
format	Article
author	Omirov, B. A. Sattarovich, Rakhimov Isamiddin
spellingShingle	Omirov, B. A. Sattarovich, Rakhimov Isamiddin On lie-like filiform Leibniz algebras.
author_facet	Omirov, B. A. Sattarovich, Rakhimov Isamiddin
author_sort	Omirov, B. A.
title	On lie-like filiform Leibniz algebras.
title_short	On lie-like filiform Leibniz algebras.
title_full	On lie-like filiform Leibniz algebras.
title_fullStr	On lie-like filiform Leibniz algebras.
title_full_unstemmed	On lie-like filiform Leibniz algebras.
title_sort	on lie-like filiform leibniz algebras.
publisher	Australian Mathematical Society
publishDate	2009
url	http://psasir.upm.edu.my/id/eprint/15903/
_version_	1643826063037431808

On lie-like filiform Leibniz algebras.

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