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

Document Type : Research Paper


Mashhad Branch, Islamic Azad University, Mashhad, Iran.


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.


Main Subjects