A cohomological approach for classifying nilpotent Leibniz algebras

In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they ex...

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Main Authors:	Rakhimov , Isamiddin Sattarovich, Langari, Seyed Jalal
Format:	Article
Language:	English
Published:	Hikari Ltd. 2010
Online Access:	http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf http://psasir.upm.edu.my/id/eprint/12659/ http://www.m-hikari.com/ija/ija-2010/ija-1-4-2010/rakhimovIJA1-4-2010.pdf
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Institution:	Universiti Putra Malaysia
Language:	English

id	my.upm.eprints.12659
record_format	eprints
spelling	my.upm.eprints.126592015-11-02T07:18:24Z http://psasir.upm.edu.my/id/eprint/12659/ A cohomological approach for classifying nilpotent Leibniz algebras Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal In this paper a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they exhaust all possible cases. Hikari Ltd. 2010 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf Rakhimov , Isamiddin Sattarovich and Langari, Seyed Jalal (2010) A cohomological approach for classifying nilpotent Leibniz algebras. International Journal of Algebra, 4 (4). pp. 153-163. ISSN 1312-8868; ESSN: 1314-7595 http://www.m-hikari.com/ija/ija-2010/ija-1-4-2010/rakhimovIJA1-4-2010.pdf
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 a cohomological approach (the Skjelbred-Sund method)to classify nilpotent Leibniz algebras in low dimensional cases will be presented. We distinguish six isomorphism classes (one parametric family and five concrete) of three dimensional nilpotent Leibniz algebras and show that they exhaust all possible cases.
format	Article
author	Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal
spellingShingle	Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal A cohomological approach for classifying nilpotent Leibniz algebras
author_facet	Rakhimov , Isamiddin Sattarovich Langari, Seyed Jalal
author_sort	Rakhimov , Isamiddin Sattarovich
title	A cohomological approach for classifying nilpotent Leibniz algebras
title_short	A cohomological approach for classifying nilpotent Leibniz algebras
title_full	A cohomological approach for classifying nilpotent Leibniz algebras
title_fullStr	A cohomological approach for classifying nilpotent Leibniz algebras
title_full_unstemmed	A cohomological approach for classifying nilpotent Leibniz algebras
title_sort	cohomological approach for classifying nilpotent leibniz algebras
publisher	Hikari Ltd.
publishDate	2010
url	http://psasir.upm.edu.my/id/eprint/12659/1/A%20cohomological%20approach%20for%20classifying%20nilpotent%20Leibniz%20algebras.pdf http://psasir.upm.edu.my/id/eprint/12659/ http://www.m-hikari.com/ija/ija-2010/ija-1-4-2010/rakhimovIJA1-4-2010.pdf
_version_	1643825095342292992

A cohomological approach for classifying nilpotent Leibniz algebras

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