On the derivations of Leibniz algebras of low dimension

Let L be an algebra over a field F. Then is called left Leibniz if its multiplication operations [×, ×] addition- ally satisfy the so-called identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper, we begin description of derivations algebras having dimension 3. It clear that algebras, 3, quite large. Therefore, in article, will focus on nilpotent algebra, whose nilpotency class and center has 2.