Citation
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
Abstract
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 |
| Statistic Details: | View Download Statistic |
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