Symmetries, Lie algebras and representations : a graduate course for physicists /
Guardado en:
| Autor Principal: | |
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| Otros Autores: | |
| Formato: | Libro |
| Idioma: | English |
| Publicado: |
Cambridge :
Cambridge University Press,
1997.
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| Series: | Cambridge monographs on mathematical physics
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Tabla de Contenidos:
- 1. Symmetries and conservation laws
- 2. Basic examples
- 3. The Lie algebra $ germ{su}(3)$ and hadron symmetries
- 4. Formalization: algebras and Lie algebras
- 5. Representations
- 6. The Cartan-Weyl basis
- 7. Simple and affine Lie algebras
- 8. Real Lie algebras and real forms
- 9. Lie groups
- 10. Symmetries of the root system. The Weyl group
- 11. Automorphisms of Lie algebras
- 12. Loop algebras and central extensions
- 13. Highest weight representations
- 14. Verma modules, Casimirs, and the character formula
- 15. Tensor products of representations
- 16. Clebsch-Gordan coefficients and tensor operators
- 17. Invariant tensors
- 18. Subalgebras and branching rules
- 19. Young tableaux and the symmetric group
- 20. Spinors, Clifford algebras, and supersymmetry
- 21. Representations on function spaces
- 22. Hopf algebras and representation rings.