International Journal of Mathematics and Mathematical Sciences
Volume 28 (2001), Issue 6, Pages 331-358
doi:10.1155/S0161171201012017

Multivariable q-Hahn polynomials as coupling coefficients for quantum algebra representations

Hjalmar Rosengren

Department of Mathematics, Chalmers University of Technology and Göteborg University, Göteborg SE-412 96, Sweden

Abstract

We study coupling coefficients for a multiple tensor product of highest weight representations of the SU(1,1) quantum group. These are multivariable generalizations of the q-Hahn polynomials.