A Bound for the Nilpotency Class of a Lie Algebra

Author(s):

H. Safa*

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:14 Issue: 2, Nov 2019
Pages:
153 to 156
https://www.magiran.com/p2037907