ON THE QUANTUM GROUP AND QUANTUM ALGEBRA APPROACH TO Q-SPECIAL FUNCTIONS

被引:28
作者
FLOREANINI, R
VINET, L
机构
[1] UNIV MONTREAL,PHYS NUCL LAB,MONTREAL H3C 3J7,QUEBEC,CANADA
[2] UNIV MONTREAL,CTR RECH MATH,MONTREAL H3C 3J7,QUEBEC,CANADA
关键词
D O I
10.1007/BF00739576
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Two interpretations of q-special functions based on quantum groups and algebras have been presented in the literature. The connection between these approaches is explained using as an example the case where U(q)(sl(2)) is the basic structure.
引用
收藏
页码:179 / 190
页数:12
相关论文
共 26 条
[1]   CANONICAL EQUATIONS AND SYMMETRY TECHNIQUES FOR Q-SERIES [J].
AGARWAL, AK ;
KALNINS, EG ;
MILLER, W .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1987, 18 (06) :1519-1538
[2]  
Drinfel'd V. G., 1987, PROC INT CONG MATH, V1, P798
[3]  
Faddeev L.D., 1988, ALGEBRAIC ANAL, VI, P129
[4]   Q-ORTHOGONAL POLYNOMIALS AND THE OSCILLATOR QUANTUM GROUP [J].
FLOREANINI, R ;
VINET, L .
LETTERS IN MATHEMATICAL PHYSICS, 1991, 22 (01) :45-54
[5]  
FLOREANINI R, 1991, UDEMLPNTH60 U MONTR
[6]  
FLOREANINI R, IN PRESS PHYS LETT B
[7]  
FLOREANINI R, 1992, 2 P INT WIGN S
[8]  
FLOREANINI R, IN PRESS J MATH PHYS
[9]  
FLOREANINI R, 1991, UDEMLPNTH54 U MONTR
[10]  
Gasper G., 1990, BASIC HYPERGEOMETRIC