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Lie Groups and Lie Algebras - A Physicist's Perspective
출판사 : Oxford University Press
저 자 : Bincer
ISBN : 9780199662920
발행일 : 2012-12
도서종류 : 외국도서
발행언어 : 영어
페이지수 : 224
판매가격 : 69,000원
판매여부 : 재고확인요망
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   Lie Groups and Lie Algebras - A Physicist's Perspective 목차
1. Generalities
2. Lie Groups and Lie Algebras
3. Rotations: SO(3) an SU(2)
4. Representations of SU(2)
5. The so(n) Algebra and Clifford Numbers
6. Reality Properties of Spinors
7. Clebsch-Gordan Series for Spinors
8. The Center and Outer Automorphisms of Spin(n)
9. Composition Algebras
10. The Exceptional Group G2
11. Casimir Operators for Orthogonal Groups
12. Classical Groups
13. Unitary Groups
14. The Symmetric Group Sr and Young Tableaux
15. Reduction of SU(n) Tensors
16. Cartan Basis, Simple Roots and Fundamental Weights
17. Cartan Classification of Semisimple Algebras
18. Dynkin Diagrams
19. The Lorentz Group
   도서 상세설명   

This book is intended for graduate students in Physics. It starts with a discussion of angular momentum and rotations in terms of the orthogonal group in three dimensions and the unitary group in two dimensions and goes on to deal with these groups in any dimensions. All representations of su(2) are obtained and the Wigner-Eckart theorem is discussed. Casimir operators for the orthogonal and unitary groups are discussed. The exceptional group G2 is introduced as the group of automorphisms of octonions. The symmetric group is used to deal with representations of the unitary groups and the reduction of their Kronecker products. Following the presentation of Cartan's classification of semisimple algebras Dynkin diagrams are described. The book concludes with space-time groups - the Lorentz, Poincare and Liouville groups - and a derivation of the energy levels of the non-relativistic hydrogen atom in n space dimensions.

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