Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Lie groups: basic definitions
- 3 Lie groups and Lie algebras
- 4 Representations of Lie groups and Lie algebras
- 5 Structure theory of Lie algebras
- 6 Complex semisimple Lie algebras
- 7 Root systems
- 8 Representations of semisimple Lie algebras
- Overview of the literature
- Appendix A Root systems and simple Lie algebras
- Appendix B Sample syllabus
- List of notation
- Bibliography
- Index
7 - Root systems
Published online by Cambridge University Press: 31 May 2010
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Lie groups: basic definitions
- 3 Lie groups and Lie algebras
- 4 Representations of Lie groups and Lie algebras
- 5 Structure theory of Lie algebras
- 6 Complex semisimple Lie algebras
- 7 Root systems
- 8 Representations of semisimple Lie algebras
- Overview of the literature
- Appendix A Root systems and simple Lie algebras
- Appendix B Sample syllabus
- List of notation
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- An Introduction to Lie Groups and Lie Algebras , pp. 132 - 162Publisher: Cambridge University PressPrint publication year: 2008