Semi-Simple Lie Algebras and Their Representations

by Robert N. Cahn

Overview

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. Author Robert N. Cahn, who is affiliated with the Lawrence Berkeley National Laboratory in Berkeley, California, has provided a new preface for this edition. Subjects include the killing form, the structure of simple Lie algebras and their representations, simple roots and the Cartan matrix, the classical Lie algebras, and the exceptional Lie algebras. Additional topics include Casimir operators and Freudenthal's formula, the Weyl group, Weyl's dimension formula, reducing product representations, subalgebras, and branching rules. 1984 edition.

Product Details

ISBN-13:	9780486449999
Publisher:	Dover Publications
Publication date:	03/17/2006
Series:	Dover Books on Mathematics Series
Pages:	174
Product dimensions:	6.12(w) x 9.25(h) x (d)

About the Author

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

Table of Contents

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