ENGLISH

Lie Groups and Lie Algebras. A Physicist's Perspective

By Adam M. Bincer

Book information

Publisher
Oxford University Press
Year
2013
ISBN
9780199662920, 0199662924
Language
english
Format
PDF
Filesize
7 MB (6914801 bytes)
Edition
1st ed
Pages
xiii, 201 p. : ill. ; 26 cm.\210
Topic
Mathematics Algebra
DPI
300
Scanned
yes
Time added
2013-10-17 13:09:52
Математика;Общая алгебра;Группы и алгебры Ли

Description

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.

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