Citation
Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini
(2011)
On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras.
Linear and Multilinear Algebra, 59 (2).
pp. 205-220.
ISSN 0308-1087; ESSN: 1563-5139
Abstract
The article aims to study the classification problem of low-dimensional complex filiform Leibniz algebras. It is known that filiform Leibniz algebras come out from two sources. The first source is a naturally graded non-Lie filiform Leibniz algebra, and another one is a naturally graded filiform Lie algebra. In this article, we classify a subclass of the class of filiform Leibniz algebras appearing from the naturally graded non-Lie filiform Leibniz algebra. We give complete classification and isomorphism criteria in dimensions 5–7. The method of classification is purely algorithmic. The isomorphism criteria are given in terms of invariant functions.
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Official URL or Download Paper: http://www.tandfonline.com/doi/abs/10.1080/0308108...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1080/03081080903357646 |
| Publisher: | Taylor & Francis |
| Keywords: | Filiform Leibniz algebra; Invariant function; Isomorphism |
| Depositing User: | Nurul Ainie Mokhtar |
| Date Deposited: | 26 Nov 2015 00:59 |
| Last Modified: | 30 Aug 2016 02:09 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1080/03081080903357646 |
| URI: | http://psasir.upm.edu.my/id/eprint/15902 |
| Statistic Details: | View Download Statistic |
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