### 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 a q-analogue of some classical identities are discussed.

Original language | English |
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Pages (from-to) | 195-204 |

Number of pages | 10 |

Journal | Letters in Mathematical Physics |

Volume | 19 |

Issue number | 3 |

DOIs | |

Publication status | Published - 1990 Apr |

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### Keywords

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

### ASJC Scopus subject areas

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

### Cite this

_{q}(1, 1): II - Matrix elements of unitary representations and the basic hypergoemetric functions.

*Letters in Mathematical Physics*,

*19*(3), 195-204. https://doi.org/10.1007/BF01039312

**Unitary representations of the quantum group SU _{q}(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.

Research output: Contribution to journal › Article

_{q}(1, 1): II - Matrix elements of unitary representations and the basic hypergoemetric functions',

*Letters in Mathematical Physics*, vol. 19, no. 3, pp. 195-204. https://doi.org/10.1007/BF01039312

_{q}(1, 1): II - Matrix elements of unitary representations and the basic hypergoemetric functions. Letters in Mathematical Physics. 1990 Apr;19(3):195-204. https://doi.org/10.1007/BF01039312

}

TY - JOUR

T1 - Unitary representations of the quantum group SUq(1, 1)

T2 - II - Matrix elements of unitary representations and the basic hypergoemetric functions

AU - Masuda, Tetsuya

AU - Mimachi, Katsuhisa

AU - Nakagami, Yoshiomi

AU - Noumi, Masatoshi

AU - Saburi, Yutaka

AU - Ueno, Kimio

PY - 1990/4

Y1 - 1990/4

N2 - 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.

AB - 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.

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

UR - http://www.scopus.com/inward/record.url?scp=34249964103&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34249964103&partnerID=8YFLogxK

U2 - 10.1007/BF01039312

DO - 10.1007/BF01039312

M3 - Article

AN - SCOPUS:34249964103

VL - 19

SP - 195

EP - 204

JO - Letters in Mathematical Physics

JF - Letters in Mathematical Physics

SN - 0377-9017

IS - 3

ER -