A Guide to Quantum Groups - Rilegato

Chari, Vyjayanthi; Pressley, Andrew N.

 
9780521433051: A Guide to Quantum Groups

Sinossi

This book gives a comprehensive overview of quantum groups and their applications.

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Descrizione del libro

This book gives a comprehensive view of quantum groups and their applications. All who have an interest in the subject will welcome this unique treatment of quantum groups.

Contenuti

Introduction; 1. Poisson–Lie groups and Lie bialgebras; 2. Coboundary Poisson–Lie groups and the classical Yang–Baxter equation; 3. Solutions of the classical Yang–Baxter equation; 4. Quasitriangular Hopf algebras; 5. Representations and quasitensor categories; 6. Quantization of Lie bialgebras; 7. Quantized function algebras; 8. Structure of QUE algebras: the universal R–matrix; 9. Specializations of QUE algebras; 10. Representations of QUE algebras: the generic case; 11. Representations of QUE algebras: the root of unity case; 12. Infinite-dimensional quantum groups; 13. Quantum harmonic analysis; 14. Canonical bases; 15. Quantum group invariants of knots and 3-manifolds; 16. Quasi–Hopf algebras and the Knizhnik–Zamolodchikov equation; Appendix. The Kac–Moody algebras.

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