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has been cited by the following article:

• TITLE: Enveloping Lie Algebras of Low Dimensional Leibniz Algebras

  AUTHORS: Massoud Amini, Isamiddin Rakhimov, Seyed Jalal Langari

  KEYWORDS: Leibniz Algebra, Enveloping Lie Algebra, Nilpotent Algebra

  JOURNAL NAME: Applied Mathematics, Vol.2 No.8, August 18, 2011

  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.