(Ebook) Lie Groups and Lie Algebras. A Physicist's Perspective by Adam M. Bincer ISBN 9780199662920, 0199662924

(Ebook) Lie Groups and Lie Algebras. A Physicist's Perspective by Adam M. Bincer ISBN 9780199662920, 0199662924

Ch. 1. Generalities --Ch. 2. Lie groups and lie algebras --Ch. 3. Rotations: SO(3) and SU(2) --Ch. 4. Representations of SU(2) --Ch. 5. The so(n) algebra and Clifford numbers --Ch. 6. Reality properties of spinors --Ch. 7. Clebsch-Gordan series for spinors --Ch. 8. The center and outer automorphisms of Spin(n) --Ch. 9. Composition algebras --Ch. 10. The exceptional group G₂ --Ch. 11. Casimir operators for orthogonal groups --Ch. 12. Classical groups --Ch. 13. Unitary groups --Ch. 14. The symmetric group S[r subscript] and Young tableaux --Ch. 15. Reduction SU(n) tensors --Ch. 16. Cartan basis, simple roots and fundamental weights --Ch. 17. Cartan classification of semisimple algebras --Ch. 18. Dynkin diagrams --Ch. 19. The Lorentz group --Ch. 20. The Poincaré and Liouville groups --Ch. 21. The Coulomb problem in n space dimensions.