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
Pages
4
From page
153
To page
156
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
Serial Year
2019
Record number
2494844
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