  This mainly tutorial paper is intended as a somewhat larger example for parts
of the theory exposed in the Lectures on the dynamical Yang-Baxter equations by
P. Etingof and O. Schiffmann, math.QA/9908064. We explicitly compute the matrix
entries of the intertwining operator, fusion matrix and exchange matrix
associated to sl(2,R) for q=1. We also consider the weighted trace function and
the dual Macdonald-Ruijsenaars equation for this particular case. As expected,
the matrix entries of the exchange matrix turn out to be Racah polynomials.
However, the road to their explicit formula via the fusion matrix is quick, and
it also yields an interesting way to derive their orthogonality relations.

Quantum Algebra;Classical Analysis and ODEs