Symmetries, Lie algebras and representations : a graduate course for physicists /

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Autor Principal: Fuchs, Jürgen, 1957-
Otros Autores: Schweigert, Christoph.
Formato: Libro
Idioma:English
Publicado: Cambridge : Cambridge University Press, 1997.
Series:Cambridge monographs on mathematical physics
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245 1 0 |a Symmetries, Lie algebras and representations :  |b a graduate course for physicists /  |c Jürgen Fuchs, Christoph Schweigert. 
260 |a Cambridge :  |b Cambridge University Press,  |c 1997. 
300 |a xxi, 438 p. :  |b il. ;  |c 26 cm. 
440 0 |a Cambridge monographs on mathematical physics 
504 |a Includes bibliographical references (p. 421-429) and index. 
505 0 |a 1. Symmetries and conservation laws -- 2. Basic examples -- 3. The Lie algebra $ germ{su}(3)$ and hadron symmetries -- 4. Formalization: algebras and Lie algebras -- 5. Representations -- 6. The Cartan-Weyl basis -- 7. Simple and affine Lie algebras -- 8. Real Lie algebras and real forms -- 9. Lie groups -- 10. Symmetries of the root system. The Weyl group -- 11. Automorphisms of Lie algebras -- 12. Loop algebras and central extensions -- 13. Highest weight representations -- 14. Verma modules, Casimirs, and the character formula -- 15. Tensor products of representations -- 16. Clebsch-Gordan coefficients and tensor operators -- 17. Invariant tensors -- 18. Subalgebras and branching rules -- 19. Young tableaux and the symmetric group -- 20. Spinors, Clifford algebras, and supersymmetry -- 21. Representations on function spaces -- 22. Hopf algebras and representation rings. 
510 4 |a MR,  |c 99k:81078 
020 |a 0521560012 
100 1 |a Fuchs, Jürgen,  |d 1957- 
700 1 |a Schweigert, Christoph. 
084 |a 81R05 (17B81 81-01 81R10)  |2 msc2000 
859 |h 81  |i F951  |p A-7721  |b BIB. MATEMATICA