### 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 |

### Keywords

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

### ASJC Scopus subject areas

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

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## Cite this

Masuda, T., Mimachi, K., Nakagami, Y., Noumi, M., Saburi, Y., & Ueno, K. (1990). Unitary representations of the quantum group SU

_{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