Includes bibliographical references (pages 165-169) and indexes.
Chapter 1. Coxeter groups -- Chapter 2. Left regular bands -- Chapter 3. Hopf algebras -- Chapter 4. A brief overview -- Chapter 5. The descent theory for Coxeter groups -- Chapter 6. The construction of Hopf algebras -- Chapter 7. The Hopf algebra of pairs of permutations -- Chapter 8. The Hopf algebra of pointed faces