Enveloping Lie Algebras of Low Dimensional Leibniz Algebras
Massoud Amini, Isamiddin Rakhimov, Seyed Jalal Langari
DOI: 10.4236/am.2011.28142   PDF    HTML     4,830 Downloads   8,425 Views   Citations


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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Amini, M. , Rakhimov, I. and Langari, S. (2011) Enveloping Lie Algebras of Low Dimensional Leibniz Algebras. Applied Mathematics, 2, 1027-1030. doi: 10.4236/am.2011.28142.

Conflicts of Interest

The authors declare no conflicts of interest.


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