Chief Factors of Lie Algebras
Department of Mathematics and Statistics, Lancaster University, LA1 4YF Lancaster, UK
- Corresponding Author:
- Towers DA
Department of Mathematics and Statistics
Lancaster University, LA1 4YF Lancaster, UK
E-mail: [email protected]
Received Date: December 23, 2015; Accepted Date: January 05, 2016; Published Date: January 07, 2016
Citation: Towers DA (2016) Chief Factors of Lie Algebras. J Generalized Lie Theory Appl S2:e002. doi:10.4172/1736-4337.S2-e002
Copyright: © 2016 Towers DA. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
In group theory the chief factors allow a group to be studied by its representation theory on particularly natural irreducible modules. It is to be expected, therefore, that they will play an important role in the study of Lie algebras. In this article we survey a few of their properties.