Lie groups and lie algebras : a physicist's perspective / Adam M. Bincer.
By: Bincer, Adam M. (Adam Marian).
Material type: TextPublisher: Oxford : Oxford University Press, 2013Edition: 1st ed.Description: xiii, 201 p. : UKP 46.99 ill. ; 26 cm.ISBN: 9780199662920 (hbk.); 0199662924 (hbk.).Subject(s): Lie groups | Lie algebrasDDC classification: 512.482Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
---|---|---|---|---|---|---|
Book | Chennai Mathematical Institute General Stacks | 512.482 BIN (Browse shelf) | Available | 10360 |
Includes bibliographical references (p. [196]-197) and index.
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.