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Classification of three dimensional complex Leibniz algebras


Rikhsiboev, Ikrom M. and Sattarovich, Rakhimov Isamiddin (2011) Classification of three dimensional complex Leibniz algebras. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 358-362).


The aim of this paper is to complete the classification of three-dimensional complex Leibniz algebras. The description of isomorphism classes of three-dimensional complex Leibniz algebras has been given by Ayupov and Omirov in 1999. However, we found that this list has a little redundancy. In this paper we apply a method which is more elegant and it gives the precise list of isomorphism classes of these algebras.We compare our list with that of Ayupov-Omirov and show the corrections which should be made.

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Additional Metadata

Item Type: Conference or Workshop Item (Paper)
Divisions: Faculty of Science
Institute for Mathematical Research
DOI Number: https://doi.org/10.1063/1.4724168
Publisher: American Institute of Physics
Notes: Full text are available at Special Collection Division Office
Keywords: Leibniz algebra; Isomorphism
Depositing User: Erni Suraya Abdul Aziz
Date Deposited: 07 May 2014 01:50
Last Modified: 08 Sep 2017 04:01
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4724168
URI: http://psasir.upm.edu.my/id/eprint/27756
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