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Medientyp:
Buch
Titel:
Lie groups and Lie algebras
:
a physicist's perspective
Enthält:
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.