On dimension of Lie Algebras and nilpotent Lie algebras

Schur proved that if the center of a group G has finite index, then the derived subgroup G′ is also finite. Moneyhun proved that if L is a Lie algebra such that dim(L/Z(L)) = n, then dim(L^2) ≤1/2n(n-1) In this paper, we extend the converse of Moneyhun’s theorem. Also, we prove a wellknown result of...

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Bibliographic Details
Main Author: Homayoon Arabyani
Format: Article
Language:English
Published: Qom University of Technology 2022-02-01
Series:Mathematics and Computational Sciences
Subjects:
Online Access:https://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf