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Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras


Citation

Deraman, Fatanah and Rakhimov, Isamiddin Sattarovich and Said Husain, Sharifah Kartini (2011) Isomorphism classes and invariants for a subclass of nine-dimensional filiform Leibniz algebras. In: 5th International Conference on Research and Education in Mathematics (ICREM5), 22-24 Oct. 2011, Bandung, Indonesia. (pp. 326-331).

Abstract / Synopsis

The paper concerns the classification problem of a subclass of nilpotent Leibniz algebras. This subclass arises from naturally graded non Lie filiform Leibniz algebras. An invariant-theoretic approach to the classification problem of this subclass has been suggested by Rakhimov and Bekbaev. This approach provides to solve the problems with minimum difficulty. Implementing this approach, it is given complete list of isomorphism classes for a subclass of filiform Leibniz algebras and appropriate invariants in dimension nine.


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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/10.1063/1.4724162
Publisher: American Institute of Physics
Keywords: Invariant; Isomorphism classes; Leibniz algebra
Depositing User: Nabilah Mustapa
Date Deposited: 26 Sep 2017 11:58
Last Modified: 26 Sep 2017 11:58
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1063/1.4724162
URI: http://psasir.upm.edu.my/id/eprint/57286
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