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A Guide to Quantum Groups

A Guide to Quantum Groups


  • Date Published: July 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521558846
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About the Authors
  • Since they first arose in the 1970s and early 1980s, quantum groups have proved to be of great interest to mathematicians and theoretical physicists. The theory of quantum groups is now well established as a fascinating chapter of representation theory, and has thrown new light on many different topics, notably low-dimensional topology and conformal field theory. The goal of this book is to give 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. Thus this book can serve both as an introduction for the newcomer, and as a guide for the more experienced reader. All who have an interest in the subject will welcome this unique treatment of quantum groups.

    • First book covering this topic
    • Authors have been working in this field for several years
    • Much interest from both mathematicians and physicists
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    Customer reviews

    20th Jun 2016 by Mehsin

    It is a good book and suitable for the students in both Mathematics and phisics on the level Msc and PhD.

    Review was not posted due to profanity


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    Product details

    • Date Published: July 1995
    • format: Paperback
    • isbn: 9780521558846
    • length: 668 pages
    • dimensions: 228 x 152 x 42 mm
    • weight: 1.07kg
    • availability: Available
  • Table of Contents

    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.

  • Authors

    Vyjayanthi Chari, University of California, Riverside

    Andrew N. Pressley, King's College London

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