Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras

Details Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras

2010-07-22

arxiv.org/abs/1007.3885v1

Mathematics

Rings and Algebras

to appear in Serdica Mathematical Journal

Scientific paper

Let L be the free m-generated metabelian nilpotent of class c Lie algebra over a field of characteristic 0. An automorphism f of L is called normal if f(I)=I for every ideal I of the algebra L. Such automorphisms form a normal subgroup N(L) of Aut(L) containing the group of inner automorphisms. We describe the group of normal automorphisms of L and the quotient group of Aut(L) modulo N(L).

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