Introduction

1. Notation and terminology

2. The global quantum duality principle

3. Application to trivial deformations: the Crystal Duality Principle

4. First example: the Kostant-Kirillov structure

5. Second example: SL2, SLn and the semisimple case

6. Third example: the three-dimensional Euclidean group E2

7. Fourth example: the Heisenberg group Hn