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A cohomological approach for classifying nilpotent Leibniz algebras


Citation

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

Abstract

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.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Hikari Ltd.
Keywords: Lie algebra; Leibniz algebra; Cohomology; Central extension
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 29 May 2015 04:22
Last Modified: 02 Nov 2015 07:18
URI: http://psasir.upm.edu.my/id/eprint/12659
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