Nilpotency of the Ordinary Lie-algebra of an n-Lie Algebra


  •  Come Likouka    

Abstract

In this paper, we generalize to n-Lie algebras a corollary of the well-known Engel's theorem which offers some justification for the terminology "nilpotent" and we construct a nilpotent ordinary Lie algebra from a nilpotent n-Lie algebra.


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