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
Official URL: http://www.scirp.org/
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.
Repository Staff Only: Edit item detail