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Lie groups and lie algebras: a physicist's perspective/
| Autor principal: | |
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| Formato: | Printed Book |
| Publicado em: |
Oxford:
Oxford University Press,
2013.
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| Assuntos: |
Sumário:
- 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.