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

doi:10.1007/BF01039312

Unitary representations of the quantum group SU_q(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

^*この研究の対応する著者

研究成果: Article › 査読

43 被引用数 (Scopus)

抄録

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 a q-analogue of some classical identities are discussed.

本文言語	English
ページ（範囲）	195-204
ページ数	10
ジャーナル	Letters in Mathematical Physics
巻	19
号	3
DOI	https://doi.org/10.1007/BF01039312
出版ステータス	Published - 1990 4月

ASJC Scopus subject areas

統計物理学および非線形物理学
物理学および天文学（全般）
数理物理学

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10.1007/BF01039312

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引用スタイル

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AU - Noumi, Masatoshi

AU - Saburi, Yutaka

AU - Ueno, Kimio

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