An introduction to Lie groups and Lie algebras [EBook] / Alexander Kirillov, Jr.
An introduction to Lie groups and Lie algebras [EBook] / Alexander Kirillov, Jr.
With roots in the nineteenth century, Lie theory has since found many and varied applications in mathematics and mathematical physics, to the point where it is now regarded as a classical branch of mathematics in its own right. This graduate text focuses on the study of semisimple Lie algebras, deve...
Personal Name(s):  Kirillov, Alexander A., (author) 

Imprint: 
Cambridge :
Cambridge University Press,
2008

Physical Description: 
1 online resource (ix, 222 pages) 
Note: 
englisch 
ISBN: 
9780521889698 9781107471887 9780511755156 
Series Title: 
Cambridge studies in advanced mathematics ;
113 
Subject (LOC):  
Full Text 
Table of Contents:
 Introduction
 Lie groups: basic definitions
 Lie groups and Lie algebras
 Representation of Lie groups and Lie algebras
 Structure theory of Lie algebras
 Complex semisimple Lie algebras
 Root systems
 Representation of semisimple Lie algebras
 Overview of the literature
 Appendix A: Root systems and simple Lie algebras
 Appendix B: Sample syllabus
 List of notation.