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Enveloping lie algebras of low dimensional leibniz algebras.

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

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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.

Item Type:Article
Keyword:Leibniz algebra; Enveloping lie algebra; Nilpotent Algebra
Faculty or Institute:Faculty of Science
Publisher:Scientific Research Publishing
DOI Number:10.4236/am.2011.28142
ID Code:24919
Deposited By: Nur Farahin Ramli
Deposited On:20 Aug 2013 11:02
Last Modified:08 Oct 2015 15:18

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