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Unitary representations of the quantum group SU q (1, 1): II — Matrix elements of unitary representations and the basic hypergoemetric functions

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Abstract

Some series of unitary representations of the quantum group SU q (1, 1) are introduced. Their matrix elements are expressed in terms of the basic hypergeometric functions. Operator realization of the coordinate elements of SU q (1, 1) and aq-analogue of some classical identities are discussed.

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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, 305, Tsukuba, Japan

    Tetsuya Masuda

  2. Department of Mathematics, Nagoya University, 464, Nagoya, Japan

    Katsuhisa Mimachi

  3. Department of Mathematics, Yokohama City University, 236, Yokohama, Japan

    Yoshiomi Nakagami

  4. Department of Mathematics, Sophia University, 102, Tokyo, Japan

    Masatoshi Noumi

  5. Department of General Education, Chiba Junior College, 272, Ichikawa, Japan

    Yutaka Saburi

  6. Department of Mathematics, Waseda University, 169, Tokyo, Japan

    Kimio Ueno

Authors
  1. Tetsuya Masuda
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  2. Katsuhisa Mimachi
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  3. Yoshiomi Nakagami
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  4. Masatoshi Noumi
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  5. Yutaka Saburi
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  6. Kimio Ueno
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Masuda, T., Mimachi, K., Nakagami, Y. et al. Unitary representations of the quantum group SU q (1, 1): II — Matrix elements of unitary representations and the basic hypergoemetric functions. Lett Math Phys 19, 195–204 (1990). https://doi.org/10.1007/BF01039312

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  • DOI: https://doi.org/10.1007/BF01039312

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