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Affine Lie Algebras and Quantum Groups

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

$101.00 (C)

Part of Cambridge Monographs on Mathematical Physics

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

$ 101.00 (C)
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  • This is an introduction to the theory of affine Lie algebras and to the theory of quantum groups. It is unique in discussing these two subjects in a unified manner, which is made possible by discussing their respective applications 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.

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

    "Clearly written; mathematical development is handled with wonderful care." The American Mathematical Monthly

    "...serves well as an introduction to these ideas and as a stimulus to further research and communication between mathematicians and physicists." Alex Jay Feingold, Mathematical Reviews

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    Product details

    • Date Published: May 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
    Bibliography
    Index.

  • Author

    Jürgen A. Fuchs, Karlstads Universitet, Sweden

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