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Central automorphisms of free nilpotent Lie algebras

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Let ℒm,n be the free nilpotent Lie algebra of finite rank m, m ≥ 2 and nilpotency class n − 1 over a field of characteristic zero. We give a… Click to show full abstract

Let ℒm,n be the free nilpotent Lie algebra of finite rank m, m ≥ 2 and nilpotency class n − 1 over a field of characteristic zero. We give a characterization of central automorphisms of ℒm,n and we find sufficient conditions for an automorphism of ℒm,n to be a central automorphism.

Keywords: lie algebras; nilpotent lie; free nilpotent; automorphisms free; central automorphisms

Journal Title: Journal of Algebra and Its Applications
Year Published: 2017

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