NORMAL AUTOMORPHISMS OF FREE METABELIAN LEIBNIZ ALGEBRAS

Let m be a free metabelian Leibniz algebra with generating set X = {x(1), ..., x(n)} over the field R of characteristic 0. An automorphism Phi of m is said to be normal automorphism if each ideal of m is invariant under Phi. In this work, it is proven that every normal automorphism of m is an IA-automorphism and the group of normal automorphisms coincides with the group of inner automorphisms.