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 AM  Vol.2 No.8 , August 2011
Enveloping Lie Algebras of Low Dimensional Leibniz Algebras
Massoud Amini, Isamiddin Rakhimov, Seyed Jalal Langari
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.
Keywords: Leibniz Algebra, Enveloping Lie Algebra, Nilpotent Algebra
Cite this paper: nullM. Amini, I. Rakhimov and S. Langari, "Enveloping Lie Algebras of Low Dimensional Leibniz Algebras," Applied Mathematics, Vol. 2 No. 8, 2011, pp. 1027-1030. doi: 10.4236/am.2011.28142.
References

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[4]   S. Albeverio, B. A. Omirov and I. S. Rakhimov, “Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less Than Five,” Communications in Algebra, Vol. 33, No. 5, 2005, pp. 1575-1585. doi:10.1081/AGB-200061038

 
 
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