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
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.
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.
VANCOUVER
Arabyani, H., Saeedi, F. On dimensions of derived algebra and central factor of a Lie algebra. Bulletin of the Iranian Mathematical Society, 2015; 41(5): 1093-1102.
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