Mashhad Branch, Islamic Azad University, Mashhad, Iran.
Abstract
Some Lie algebra analogues of Schur's theorem and its converses are presented. As a result, it is shown that for a capable Lie algebra L we always have dim L=Z(L) 2(dim(L2))2. We also give give some examples sup- porting our results.
Arabyani, H., & Saeedi, F. (2015). On dimensions of derived algebra and central factor of a Lie algebra. Bulletin of the Iranian Mathematical Society, 41(5), 1093-1102.
MLA
Arabyani, H., & Saeedi, F. "On dimensions of derived algebra and central factor of a Lie algebra", Bulletin of the Iranian Mathematical Society, 41, 5, 2015, 1093-1102.
HARVARD
Arabyani H., Saeedi F. (2015). 'On dimensions of derived algebra and central factor of a Lie algebra', Bulletin of the Iranian Mathematical Society, 41(5), pp. 1093-1102.
CHICAGO
H. Arabyani & F. Saeedi, "On dimensions of derived algebra and central factor of a Lie algebra," Bulletin of the Iranian Mathematical Society, 41 5 (2015): 1093-1102,
VANCOUVER
Arabyani H., Saeedi F. On dimensions of derived algebra and central factor of a Lie algebra. BIMS. 2015;41(5):1093-1102.
