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Reflection Equation Algebras and Quantum Groups

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Quantum and Non-Commutative Analysis

Part of the book series: Mathematical Physics Studies ((MPST,volume 16))

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Abstract

Quadratic algebras related to the reflection equations are introduced. They are quantum group comodule algebras. The quantum group F q (GL(2)) is taken as the example. The properties of the algebras (center, representations, realizations, real forms, fusion procedure etc) as well as the generalizations are discussed.

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Author information

Authors and Affiliations

  1. Euler International Mathematical Institute and Yukawa Institute for Theoretical Physics, Russia

    P. P. Kulish

Authors
  1. P. P. Kulish
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Editor information

Editors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, 606-01, Sakyo-ku, Kyoto, Japan

    Huzihiro Araki

  2. Department of Mathematics and Information, College of Liberal Arts, Kyoto University, Sakyo-ku, Yoshida Kyoto 606, Japan

    Keiichi R. Ito

  3. Department of Mathematics Faculty of Science, Hokkaido University, Sapporo 060, Japan

    Akitaka Kishimoto

  4. Research Institute for Mathematical Sciences, Kyoto University, 606-01, Kyoto, Japan

    Izumi Ojima

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© 1993 Springer Science+Business Media Dordrecht

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Kulish, P.P. (1993). Reflection Equation Algebras and Quantum Groups. In: Araki, H., Ito, K.R., Kishimoto, A., Ojima, I. (eds) Quantum and Non-Commutative Analysis. Mathematical Physics Studies, vol 16. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2823-2_16

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  • DOI: https://doi.org/10.1007/978-94-017-2823-2_16

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-4334-4

  • Online ISBN: 978-94-017-2823-2

  • eBook Packages: Springer Book Archive

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