On dimensions of derived algebra and central factor of a Lie algebra

Authors

  • F. Saeedi Mashhad Branch, Islamic Azad University, Mashhad, Iran.
  • H. Arabyani 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.

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Journal title

volume 41  issue 5

pages  1093- 1102

publication date 2015-10-01

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