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On isomorphism classes and invariants of a subclass of low-dimensional complex filiform Leibniz algebras


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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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
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