UNITARY REPRESENTATIONS OF THE QUANTUM GROUP SUQ(1,1) - II MATRIX-ELEMENTS OF UNITARY REPRESENTATIONS AND THE BASIC HYPERGEOMETRIC-FUNCTIONS

被引：50

作者：

MASUDA, TS

MIMACHI, KS

NAKAGAMI, YH

NOUMI, MT

SABURI, YT

UENO, KM

机构：

[1] NAGOYA UNIV,DEPT MATH,NAGOYA,AICHI 464,JAPAN

[2] YOKOHAMA CITY UNIV,DEPT MATH,YOKOHAMA 236,JAPAN

[3] SOPHIA UNIV,DEPT MATH,TOKYO 102,JAPAN

[4] CHIBA JUNIOR COLL,DEPT GEN EDUC,ICHIKAWA 272,JAPAN

[5] WASEDA UNIV,DEPT MATH,TOKYO 169,JAPAN

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1990年 / 19卷 / 03期

关键词：

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

D O I：

10.1007/BF01039312

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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. © 1990 Kluwer Academic Publishers.

引用

页码：195 / 204

页数：10

共 13 条

[1]

Andrews G. E., 1986, CBMS REGIONAL C SERI, V66

[2] IRREDUCIBLE UNITARY REPRESENTATIONS OF THE LORENTZ GROUP [J].

BARGMANN, V .

ANNALS OF MATHEMATICS, 1947, 48 (03) :568-640

[3]

Drinfeld V.G., 1986, P INT C MATH, V1, P789

[4] A Q-DIFFERENCE ANALOG OF U(G) AND THE YANG-BAXTER EQUATION [J].

JIMBO, M .

LETTERS IN MATHEMATICAL PHYSICS, 1985, 10 (01) :63-69

[5]

KOORNWINDER TH, 1989, P K NED AKAD A MATH, V92, P97

[6]

MASUDA T, 1988, CR ACAD SCI I-MATH, V307, P559

[7]

MASUDA T, 1989, IN PRESS J FUNCT ANA

[8] UNITARY REPRESENTATIONS OF THE QUANTUM GROUP SUQ(1,1) - STRUCTURE OF THE DUAL-SPACE OF UQ(SL(2)) [J].

MASUDA, TS ;

MIMACHI, KS ;

NAKAGAMI, YH ;

NOUMI, MT ;

SABURI, YT ;

UENO, KM .

LETTERS IN MATHEMATICAL PHYSICS, 1990, 19 (03) :187-194

[9]

VAKSMAN L.L., 1988, FUNKT ANAL PRILOZHEN, V22, P1

[10]

VAKSMAN LL, 1988, PREPRINT

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