Volume 14, Issue 2 (10-2019)                   IJMSI 2019, 14(2): 153-156 | Back to browse issues page

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A Bound for the Nilpotency Class of a Lie Algebra
H. Safa
Abstract:  

In the present paper, we prove that if L is a nilpotent Lie algebra whose proper subalge-
bras are all nilpotent of class at most n, then the class of L is at most bnd=(d 􀀀 1)c, where
b c denotes the integral part and d is the minimal number of generators of L.

Keywords: Minimal number of generators, Nilpotency class, Nilpotent Lie algebra.
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Type of Study: Research paper | Subject: General
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