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