An introduction to Lie groups and Lie algebras [E-Book] / Alexander Kirillov, Jr.
Kirillov, Alexander A., (author)
Cambridge : Cambridge University Press, 2008
1 online resource (ix, 222 pages)
englisch
9780521889698
9781107471887
9780511755156
Cambridge studies in advanced mathematics ; 113
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.