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

Come Chancel 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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DOI: https://doi.org/10.5539/jmr.v9n2p79

License URL: http://creativecommons.org/licenses/by/4.0

Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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