Abstract
Many links are already known between quantum groups and q-orthogonal polynomials. In this article, we will give a survey on recent works concerning the realization of q-analogues of the Jacobi polynomials as spherical functions on the quantum group SU (2). We would like to emphasize that quantum groups and q-orthogonal polynomials have some characteristics in common and that the interaction between the two fields of mathematics will be important for both of them. The latter half of this article is a review on the works [K3–5] by T.H.Koornwinder and [NM1–5] by K.Mimachi and the author. This article, written from the viewpoint of [NM1–5], may be compared with Koornwinder’s survey [K4].
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