Unitary representations of the quantum group SUq(1, 1): II - Matrix elements of unitary representations and the basic hypergoemetric functions

Tetsuya Masuda, Katsuhisa Mimachi, Yoshiomi Nakagami, Masatoshi Noumi, Yutaka Saburi, Kimio Ueno

    Research output: Contribution to journalArticle

    42 Citations (Scopus)

    Abstract

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

    Original languageEnglish
    Pages (from-to)195-204
    Number of pages10
    JournalLetters in Mathematical Physics
    Volume19
    Issue number3
    DOIs
    Publication statusPublished - 1990 Apr

    Fingerprint

    Basic Hypergeometric Functions
    hypergeometric functions
    Q-analogue
    Unitary Representation
    Quantum Groups
    analogs
    operators
    Series
    matrices
    Operator

    Keywords

    • AMS subject classifications (1980): 22E70, 33A65, 16A24

    ASJC Scopus subject areas

    • Statistical and Nonlinear Physics
    • Physics and Astronomy(all)
    • Mathematical Physics

    Cite this

    Unitary representations of the quantum group SUq(1, 1) : II - Matrix elements of unitary representations and the basic hypergoemetric functions. / Masuda, Tetsuya; Mimachi, Katsuhisa; Nakagami, Yoshiomi; Noumi, Masatoshi; Saburi, Yutaka; Ueno, Kimio.

    In: Letters in Mathematical Physics, Vol. 19, No. 3, 04.1990, p. 195-204.

    Research output: Contribution to journalArticle

    Masuda, Tetsuya ; Mimachi, Katsuhisa ; Nakagami, Yoshiomi ; Noumi, Masatoshi ; Saburi, Yutaka ; Ueno, Kimio. / Unitary representations of the quantum group SUq(1, 1) : II - Matrix elements of unitary representations and the basic hypergoemetric functions. In: Letters in Mathematical Physics. 1990 ; Vol. 19, No. 3. pp. 195-204.
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