TY - JOUR
ID - 249003
TI - On dimension of Lie Algebras and nilpotent Lie algebras
JO - Mathematics and Computational Sciences
JA - MCS
LA - en
SN - 2717-2708
AU - Arabyani, Homayoon
AD - Department of mathematics, Islamic Azad university, Neyshabour branch, Mashhad, Iran
Y1 - 2022
PY - 2022
VL - 3
IS - 1
SP - 33
EP - 36
KW - Nilpotent Lie algebra
KW - Derived subalgebra
KW - Frattini subalgebra
DO - 10.30511/mcs.2022.543524.1051
N2 - 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 nilpotent Lie algebras by using a different technique
UR - http://mcs.qut.ac.ir/article_249003.html
L1 - http://mcs.qut.ac.ir/article_249003_5a5b75d9c59ab2da1f32a9096c5cf336.pdf
ER -