Normal and normally outer automorphisms of free metabelian nilpotent Lie algebras

2010/07/22 by Şehmus Fındık, Findik, Sehmus
Chemistry · Mathematics · #Advanced Topics in Algebra #Carbohydrate Chemistry and Synthesis #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1007.3885

openalex publication_date 2010/07/22 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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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