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On one-dimensional Leibniz central extension of a filiform lie algebra.


Citation

Sattarovich, Rakhimov Isamiddin and Hassan, Munther A. (2011) On one-dimensional Leibniz central extension of a filiform lie algebra. Bulletin of the Australian Mathematical Society, 84 (3). pp. 205-224. ISSN 0004-9727; ESSN:1755-1633

Abstract

The paper deals with the classification of Leibniz central extensions of a filiform Lie algebra. We choose a basis with respect to which the multiplication table has a simple form. In low-dimensional cases isomorphism classes of the central extensions are given. In the case of parametric families of orbits, invariant functions (orbit functions) are provided.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1017/S0004972711002371
Publisher: Cambridge University Press (CUP)
Keywords: Leibniz central extension; Lie algebra; Filiform Leibniz algebra; Isomorphism; Invariant.
Depositing User: Nur Farahin Ramli
Date Deposited: 20 Aug 2013 04:44
Last Modified: 20 Aug 2013 04:44
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1017/S0004972711002371
URI: http://psasir.upm.edu.my/id/eprint/24921
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