Geodesic
Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras
Serdica Mathematical Journal, Tome 35 (2010) no. 2, pp. 171-210.

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Let Lm,c be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism φ of Lm,c is called normal if φ(I) = I for every ideal I of the algebra Lm,c. Such automorphisms form a normal subgroup N(Lm,c) of Aut (Lm,c) containing the group of inner automorphisms. We describe the group of normal automorphisms of Lm,c and the quotient group of Aut (Lm,c) modulo N(Lm,c).
Keywords: Free Lie Algebras, Free Metabelian Nilpotent Lie Algebras, Inner Automorphisms, Normal Automorphisms 
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Fιndιk, Şehmus. Normal and Normally Outer Automorphisms of Free Metabelian Nilpotent Lie Algebras. Serdica Mathematical Journal, Tome 35 (2010) no. 2, pp. 171-210. http://geodesic.mathdoc.fr/item/SMJ2_2010_35_2_a4/