Matrix Lie Groups: An Introduction
Boyd Professor, Department of Mathematics, Louisiana State University, Baton Rouge, LA 70803, USA
- Corresponding Author:
- Lawson J
Boyd Professor, Department of Mathematics
Louisiana State University, Baton Rouge, LA 70803, United States
E-mail: [email protected]
Received date: August 27, 2015; Accepted date: September 25, 2015; Published date: September 27, 2015
Citation: Lawson J (2015) Matrix Lie Groups: An Introduction. J Generalized Lie Theory Appl 9:229. doi:10.4172/1736-4337.1000229
Copyright: © 2015 Lawson J. 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.
This article presents basic notions of Lie theory in the context of matrix groups with goals of minimizing the required mathematical background and maximizing accessibility. It is structured with exercises that enhance the text and make the notes suitable for (part of) an introductory course at the upper level undergraduate or early graduate level. Indeed the notes were originally written as part of an introductory course to geometric control theory.