This book gives a comprehensive overview of quantum groups and their applications.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
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.
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.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Paperback. Condizione: new. Paperback. Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. This book gives a comprehensive view of quantum groups and their applications. The authors build on a self-contained account of the foundations of the subject and go on to treat the more advanced aspects concisely and with detailed references to the literature. Researchers in mathematics and theoretical physics will enjoy this book. This book gives an overview of quantum groups and their applications. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780521558846
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