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On lie-like filiform Leibniz algebras.


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


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.

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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1017/S000497270900001X
Publisher: Australian Mathematical Society
Keywords: Lie algebra; Filiform Leibniz algebra; Natural Gradation; Isomorphism criterion.
Depositing User: Najwani Amir Sariffudin
Date Deposited: 16 Oct 2013 03:31
Last Modified: 16 Oct 2013 03:31
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1017/S000497270900001X
URI: http://psasir.upm.edu.my/id/eprint/15903
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