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)
📌 3 Key Takeaways
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Objective & Hypothesis: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.
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Key Findings & Data: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.
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Conclusion & Impact: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)
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Serbest Lie cebir · IA-otomorfizm grubu · iç otomorfizm grubu
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)
Özet
Lm,k karakteristiği sıfır olan bir cisim üzerinde sonlu m,m>2 rankına sahip, k- yıncı sınıftan serbest nilpotent Lie cebiri olsun.Lm,k nın IA- otomorfizm grubu ile iç otomorfizm grubunun merkezi otomorfizm grubuna eşit olması için gerek ve yeter koşulları belirledik.
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