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A guide to quantum groups

Author: Vyjayanthi Chari; Andrew Pressley
Publisher: Cambridge ; New York, N.Y. : Cambridge University Press, 1994.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

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

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Vyjayanthi Chari; Andrew Pressley
ISBN: 0521433053 9780521433051 0521558840 9780521558846
OCLC Number: 31495388
Description: xv, 651 pages : illustrations ; 24 cm
Contents: 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.
Responsibility: Vyjayanthi Chari, Andrew Pressley.
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"An ideal guide for both experts and newcomers." American Mathematical Monthly

 
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