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Lie Groups and Lie Algebras. A Physicist's Perspective

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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.

Author(s): Adam M. Bincer
Edition: 1st ed
Publisher: Oxford University Press
Year: 2013

Language: English
Pages: xiii, 201 p. : ill. ; 26 cm.
City: Oxford
Tags: Математика;Общая алгебра;Группы и алгебры Ли;