Representation theory and special functions

Question

It is well-known that many special functions arrives from the representation theory of some groups. For example Jacobi polynomials follows from $SU(2)$ group.

Is it any book/article where such relations between special functions and groups are include ?

I am looking for orthogonal polynomials which can be obtained from direct sums or tensor products of the simplest groups of matrices. I need some summary list of such objects.

Answer 1

A suggestion:

A. U. Klimyk, N. Ya. Vilenkin, II. Representations of Lie groups and special functions, in "Representation theory and noncommutative harmonic analysis II", ed. A. A. Kirillov, Springer, (1991), pp. 137-266.