On The Automorphism Groups of Free Nilpotent Lie Algebras

Abstract

Let L_(m,k) be the free nilpotent of class k Lie algebra of finite rank m, m≥2 over a field of characteristic zero. In this study, we give necessary and sufficient conditions on  the equalities of the central automorhisms group of L_(m,k) to the IA-automorphisms group and inner automorphisms group of L_(m,k)

Keywords

• Free Lie algebra,, IA-automorphisms group,inner automorphisms group,central automorphisms group

Serbest Nilpotent Lie Cebirlerinin Otomorfizm Grupları Üzerine

Abstract

L_m,k karakteristiği sıfır olan bir cisim üzerinde sonlu m,m>2 rankına sahip, k- yıncı sınıftan serbest nilpotent Lie cebiri olsun.L_m,k nın IA- otomorfizm grubu ile iç otomorfizm grubunun merkezi otomorfizm grubuna eşit olması için gerek ve yeter koşulları belirledik.

Keywords

• Serbest Lie cebir, IA-otomorfizm grubu,iç otomorfizm grubu,merkezi otomorfizm grubu

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