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- Title
Bounds for the Dimension of Lie Algebras.
- Authors
Arabyani, H.
- Abstract
In 1993, moneyhun showed that if L is a Lie algebra such that dim(L/Z(L)) =n, then dim(L²) ≤ 1/2n(n-1). The author and Saeedi investigated the converse of Moneyhun's result under some conditions .In this paper, We extend their results to obtain several upper bounds for the dimension of a Lie algebra L in terms of dimensions of L², Where L² is the derived subalgebra. Moreover, we give an upper bound for the dimension of the dimension of the c-nilpotent multiplier of a pair of Lie algebras.
- Subjects
LIE algebras; FRATTINI subgroups; MATHEMATICS; NILPOTENT groups; FREE algebras
- Publication
Journal of Mathematical Extension, 2019, Vol 13, Issue 4, p231
- ISSN
1735-8299
- Publication type
Article