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On extensions of some classes of algebras


Rakhimov, Isamiddin (2018) On extensions of some classes of algebras. Springer Proceedings in Mathematics and Statistics, 264. 131 - 149. ISSN 2194-1009


The paper consists of three parts. In the first part we discuss on extensions of Lie algebras and their importance in Physics. Then we deal with the extensions of some classes of algebras with one binary operation. The third part is devoted to the study of extensions of two classes of algebras, possessing two algebraic operations, called dialgebras. In all the cases we propose 2-cocycles and respective extensions. The motivation to study the extensions is to use them further for the classification problem of the classes algebras considered in low dimensional cases.

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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
DOI Number: https://doi.org/10.1007/978-3-030-01144-4_12
Publisher: Springer
Keywords: Lie algebra; Associative algebra; Pre-Lie algebra; Leibniz algebra; Zinbiel algebra; Dialgebra
Depositing User: Mr. Sazali Mohamad
Date Deposited: 17 Oct 2020 19:50
Last Modified: 17 Oct 2020 19:50
Altmetrics: http://www.altmetric.com/details.php?domain=psair.upmedu.my&doi=10.1007/978-3-030-01144-4_12
URI: http://psasir.upm.edu.my/id/eprint/75124
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