Ebook: Lie Groups and Lie Algebras. A Physicist's Perspective

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.