Citation
Amini, Massoud and Sattarovich, Rakhimov Isamiddin and Langari, Seyed Jalal
(2011)
Enveloping lie algebras of low dimensional leibniz algebras.
Applied Mathematics, 2 (8).
pp. 1027-1030.
ISSN 2152-7385; ESSN:2152-7393
Abstract
We calculate the enveloping Lie algebras of Leibniz algebras of dimensions two and three. We show how these Lie algebras could be used to distinguish non-isomorphic (nilpotent) Leibniz algebras of low dimension in some cases. These results could be used to associate geometric objects (loop spaces) to low dimensional Leibniz algebras.
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science |
| DOI Number: | https://doi.org/10.4236/am.2011.28142 |
| Publisher: | Scientific Research Publishing |
| Keywords: | Leibniz algebra; Enveloping lie algebra; Nilpotent Algebra |
| Depositing User: | Nur Farahin Ramli |
| Date Deposited: | 20 Aug 2013 03:02 |
| Last Modified: | 08 Oct 2015 07:18 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.4236/am.2011.28142 |
| URI: | http://psasir.upm.edu.my/id/eprint/24919 |
| Statistic Details: | View Download Statistic |
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