Bounds for the dimension of Lie algebras

Authors

  • Homayoon Arabyani

DOI:

https://doi.org/10.30495/jme.v13i0.876

Abstract

Abstract. In 1993, Moneyhun showed that if L is a Lie algebra such
that dim(L/Z(L)) = n, then dim(L^2) 1/2n(n-1)
. The author and
Saeedi investigated the converse of Moneyhun's result under some con-
ditions. In this paper, We extend their results to obtain several upper
bounds for the dimension of a Lie algebra L in terms of dimension of
L2, where L^2 is the derived subalgebra. Moreover, we give an upper
bound for the dimension of the c-nilpotent multiplier of a pair of Lie
algebras.

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Published

2019-04-10

Issue

Vol. 13

Section

Vol. 13, No. 4, (2019)

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