Representations of the quantum group SUq(2) and the little q-Jacobi polynomials

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

    研究成果: Article査読

    75 被引用数 (Scopus)

    抄録

    In this paper, we study the finite dimensional unitary representations of the quantum group SUq(2). Then we obtain the Peter-Weyl theorem for SUq(2) and the matrix elements of these unitary representations are explicitly expressed in terms of the little q-Jacobi polynomials which are known as q-analogues of orthogonal polynomials. Using these expressions, the orthogonality relations of these polynomials are obtained in terms of the Haar measure on the quantum group SUq(2).

    本文言語English
    ページ(範囲)357-386
    ページ数30
    ジャーナルJournal of Functional Analysis
    99
    2
    DOI
    出版ステータスPublished - 1991 8 1

    ASJC Scopus subject areas

    • Analysis

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