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

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

doi:10.1016/0022-1236(91)90045-7

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

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

^*この研究の対応する著者

研究成果: Article › 査読

77 被引用数 (Scopus)

抄録

In this paper, we study the finite dimensional unitary representations of the quantum group SU_q(2). Then we obtain the Peter-Weyl theorem for SU_q(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 SU_q(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
巻	99
号	2
DOI	https://doi.org/10.1016/0022-1236(91)90045-7
出版ステータス	Published - 1991 8月 1

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10.1016/0022-1236(91)90045-7

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AU - Ueno, Kimio

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