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Fuchs, Jürgen, 1957-
Symmetries, Lie algebras and representations : a graduate course for physicists / Jürgen Fuchs, Christoph Schweigert.
— Cambridge : Cambridge University Press, 1997. xxi, 438 p. : il. ; 26 cm. — (Cambridge monographs on mathematical physics)
Includes bibliographical references (p. 421-429) and index.
Contenido: 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.
ISBN 0521560012
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