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Representations of the Quantum Algebras U q (su(2)) and U q (su(1,1))

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Book cover Symmetries in Science V

Abstract

Quantum Groups and Algebras made their appearance in the quantum methodical treatment of the inverse scattering problem [1–3]. Presently the representation theory for the quantum groups and algebras is being actively and vigorously pursued. The results to be obtained are of considerable interest to quantum field theory as well as to statistical physics [4]. Recent papers [5–9] also show that representations of quantum groups and algebras are closely related to the so-called basic hypergeometric functions.

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Author information

Authors and Affiliations

  1. Institute for Theoretical Physics, Ukrainian Academy of Sciences, Kiev 130, USSR

    A. U. Klimyk

  2. Nuclear Physics Institute, Moscow State University, Moscow, USSR

    Yu. F. Smirnov

  3. Department of Physics and Molecular Science Program, Southern Illinois University, Carbondale, Illinois, USA, 62901-4401

    B. Gruber

  4. Arnold Sommerfeld Institute for Mathematical Physics, Technical University Clausthal, D-3392, Clausthal, Germany

    B. Gruber

Authors
  1. A. U. Klimyk
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  2. Yu. F. Smirnov
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  3. B. Gruber
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Editor information

Editors and Affiliations

  1. Southern Illinois University, Carbondale, Illinois, USA

    Bruno Gruber

  2. Duke University, Durham, North Carolina, USA

    L. C. Biedenharn

  3. Technical University, Clausthal, Germany

    H. D. Doebner

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© 1991 Springer Science+Business Media New York

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Klimyk, A.U., Smirnov, Y.F., Gruber, B. (1991). Representations of the Quantum Algebras U q (su(2)) and U q (su(1,1)). In: Gruber, B., Biedenharn, L.C., Doebner, H.D. (eds) Symmetries in Science V. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-3696-3_17

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  • DOI: https://doi.org/10.1007/978-1-4615-3696-3_17

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-6643-0

  • Online ISBN: 978-1-4615-3696-3

  • eBook Packages: Springer Book Archive

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