Semi-Simple Lie Algebras And Their Representations

Designed to acquaint students of particle physics already familiar with SU(2) and SU(3) with techniques applicable to all simple Lie algebras, this text is especially suited to the study of grand unification theories. Subjects include simple roots and the Cartan matrix, the classical and exceptional Lie algebras, the Weyl group, and more. 1984 edition.

Robert N. Cahn is affiliated with the Lawrence Berkeley National Laboratory, Berkeley, California.

1. SU(2)
2. SU(3)
3. The Killing Form
4. The Structure of Simple Lie Algebras
5. A Little about Representations
6. More on the Structure of Simple Lie Algebras
7. Simple Roots and the Cartan Matrix
8. The Classical Lie Algebras
9. The Exceptional Lie Algebras
10. More on Representations
11. Casimir Operators and Freudenthal’s Formula
12. The Weyl Group
13. Weyl’s Dimension Formula
14. Reducing Product Representations
15. Subalgebras
16. Branching Rules
Bibliography
Index