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Affine Lie Algebras and Quantum Groups

Affine Lie Algebras and Quantum Groups
An Introduction, with Applications in Conformal Field Theory


Part of Cambridge Monographs on Mathematical Physics

  • Date Published: March 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521484121

£ 62.99

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About the Authors
  • This is an introduction to the theory of affine Lie algebras, to the theory of quantum groups, and to the interrelationships between these two fields that are encountered in conformal field theory. The description of affine algebras covers the classification problem, the connection with loop algebras, and representation theory including modular properties. The necessary background from the theory of semisimple Lie algebras is also provided. The discussion of quantum groups concentrates on deformed enveloping algebras and their representation theory, but other aspects such as R-matrices and matrix quantum groups are also dealt with. This book will be of interest to researchers and graduate students in theoretical physics and applied mathematics.

    • Unified treatment
    • Necessary background information provided
    • Distinguished author and series
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    Reviews & endorsements

    'I can recommend it unreservedly as an introduction, but also as a review for experts.' Physikalishe Blätter

    '… a very valuable book … of interest to mathematicians and physicists working in the areas of conformal field theory, representation theory of infinite-dimensional Lie algebras and vertex operator algebras.' Drazen Adomovic, Zentralblatt für Mathematik

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    Product details

    • Date Published: March 1995
    • format: Paperback
    • isbn: 9780521484121
    • length: 448 pages
    • dimensions: 246 x 174 x 25 mm
    • weight: 0.777kg
    • contains: 40 b/w illus.
    • availability: Available
  • Table of Contents

    1. Semisimple Lie algebras
    2. Affine Lie algebras
    3. WZW theories
    4. Quantum groups
    5. Duality, fusion rules, and modular invariance

  • Author

    Jürgen A. Fuchs, Karlstads Universitet, Sweden

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