Title of article :
A Bound for the Nilpotency Class of a Lie Algebra
Author/Authors :
Safa, Hesam Department of Mathematics - Faculty of Basic Sciences - University of Bojnord, Bojnord, Iran
Abstract :
In the present paper, we compare the nilpotency class N(L)
of a nilpotent Lie algebra L with that of its proper subalgebras. As the
main result, we prove that N(L) ≤ bnd/(d − 1)c where n = max{N(S) :
S is a proper subalgebra of L}, d is the minimal number of generators of
L and └ ┘ denotes the integral part.
Keywords :
Nilpotent Lie algebra , Nilpotency class
