Includes bibliographical references (pages 149-155) and index.
Chapter 1. Introduction Chapter 2. The Serre relations Chapter 3. Kac-Moody Lie algebras Chapter 4. Crystal bases of Uv-modules Chapter 5. The tensor product of crystals Chapter 6. Crystal bases of Uv⁻ Chapter 7. The canonical basis Chapter 8. Existence and uniqueness (part I) Chapter 9. Existence and uniqueness (part II) Chapter 10. The Hayashi realization Chapter 11. Description of the crystal graph of V([Lambda]) Chapter 12. An overview of the application to Hecke algebras Chapter 13. The Hecke algebra of type G(m,1,n) Chapter 14. The proof of Theorem 12.5 Chapter 15. Reference guide