Preface 1. Introduction 2. Background material 3. Intertwiners, fusion and exchange operators for Lie algebras 4. Quantum groups 5. Intertwiners, fusion and exchange operators for UULq (g) 6. Dynamical R-matrices and integrable systems 7. Traces of intertwiners for UULq (g) 8. Traces of intertwiners and Macdonald polynomials 9. Dynamical Weyl group