Abstract
In this work, we represent free metabelian Leibniz algebras as the wreath product of abelian Leibniz algebras. We obtained an explicit matrix form for the IA-automorphisms of free metabelian Leibniz algebras of finite rank over a field K of characteristic zero. Then we describe a set of generators for the group of all automorphisms of the free metabelian Leibniz algebras of rank n.
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