On The Automorphism Groups of Free Nilpotent Lie Algebras

Year 2019, Volume: 7 Issue: 3, 403 - 405, 28.09.2019

Özge Öztekin , Cennet Eskal

https://doi.org/10.21541/apjes.552208

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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