Some details of proofs of theorems related to the quantum dynamical Yang-Baxter equation (Q5926140)

The paper includes details of proofs of results obtained by \textit{P. Etingof} and \textit{O. Schiffmann} [Lectures on the dynamical Yang-Baxter equation, math.QA/9908064], and \textit{P. Etingof} and \textit{A. Varchenko} [Traces of intertwiners for quantum groups and difference equations. I. Duke Math. J. 104, No. 3, 391-432 (2000; Zbl 1004.17006)]. The results discussed concern the intertwining operator, the fusion matrix, the exchange matrix, the difference operators and the dual Macdonald-Ruijsenaars equations.