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

Document Type : Research Paper

Authors

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.

Keywords

Main Subjects


Volume 41, Issue 5 - Serial Number 5
October 2015
Pages 1093-1102
  • Receive Date: 05 November 2013
  • Revise Date: 07 July 2014
  • Accept Date: 08 July 2014
  • First Publish Date: 01 October 2015