Local and 2-local 1/2-derivations of solvable Leibniz algebras

Abstract

                   We show that any local 1/2-derivation on solvable Leibniz algebras with model or abelian nilradicals, whose dimensions of complementary spaces are maximal, is a 1/2-derivation. We show that solvable Leibniz algebras with abelian nilradicals, which have 1-dimensional complementary spaces are  1/2-derivations. Moreover, a similar problem concerning 2-local 1/2-derivations of such algebras is investigated.