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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Format: | Article |
Language: | English |
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Qom University of Technology
2022-02-01
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Series: | Mathematics and Computational Sciences |
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Online Access: | https://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf |