| Peer-Reviewed

Derivations of Some Filiform Leibniz Algebras

Received: 26 September 2014     Accepted: 23 October 2014    
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Abstract

In this paper the two classes of filiform Leibniz algebras μ_(0 )^n and μ_(1 )^n in (n+1) dimensions of filiform Leibniz algebras such that n≥2 will be considered. The study includes derivations of naturally graded Leibniz algebras of first class L_n and second class W_n, be algebras whose multiplications rules are defined by the μ_(0 )^n and μ_(1 )^n, respectively. The algebras of derivations of naturally graded Leibniz algebras are described by linear transformations and dimensions derivations. Finally, we determine number of derivations of naturally graded Leibniz algebras.

Published in Pure and Applied Mathematics Journal (Volume 3, Issue 6)
DOI 10.11648/j.pamj.20140306.12
Page(s) 121-125
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