Bounds for the dimension of Lie algebras
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.
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.
Refbacks
- There are currently no refbacks.
This work is licensed under a Creative Commons Attribution 3.0 License.