Citation
Omirov, B. A. and Rakhimov, Isamiddin Sattarovich and Turdibaev, R.
(2013)
On description of Leibniz algebras corresponding to sl2.
Algebras and Representation Theory, 16 (5).
pp. 1507-1519.
ISSN 1386-923X; ESSN: 1572-9079
Abstract
In this paper we describe finite-dimensional complex Leibniz algebras whose quotient algebra with respect to the ideal I generated by squares is isomorphic to the simple Lie algebra sl2. It is shown that the number of isomorphism classes such of Leibniz algebras coincides with the number of partitions of dim I.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| DOI Number: | https://doi.org/10.1007/s10468-012-9367-x |
| Publisher: | Springer Verlag |
| Keywords: | Irreducible module; Leibniz algebra; Lie algebra; Simple Leibniz algebra. |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 10 Sep 2014 03:15 |
| Last Modified: | 10 Sep 2014 03:15 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1007/s10468-012-9367-x |
| URI: | http://psasir.upm.edu.my/id/eprint/30179 |
| Statistic Details: | View Download Statistic |
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