内容

目次

Preface vii Chapter 1. Affine Coxeter Diagrams 1 Chapter 2. RootSystems 13 Chapter 3. Root Data with Valuation 25 Chapter 4. Sectors 39Chapter 5. Faces 45 Chapter 6. Gems 53 Chapter 7. Affine Buildings 59Chapter 8. The Building at Infinity 67 Chapter 9. Trees with Valuation 77Chapter 10. Wall Trees 89 Chapter 11. Panel Trees 101 Chapter 12.Tree-Preserving Isomorphisms 107 Chapter 13. The Moufang Property atInfinity 119 Chapter 14. Existence 131 Chapter 15. Partial Valuations 147Chapter 16. Bruhat-Tits Theory 159 Chapter 17. Completions 167 Chapter 18.Automorphisms and Residues 175 Chapter 19. Quadrangles of Quadratic FormType 189 Chapter 20. Quadrangles of Indifferent Type 205 Chapter 21.Quadrangles of Type E6, E7 and E8 209 Chapter 22. Quadrangles of Type F4 221Chapter 23. Quadrangles of Involutory Type 229 Chapter 24. Pseudo-QuadraticQuadrangles 239 Chapter 25. Hexagons 261 Chapter 26. Assorted Conclusions275 Chapter 27. Summary of the Classification 289 Chapter 28. LocallyFinite Bruhat-Tits Buildings 297 Chapter 29. Appendix A 321 Chapter 30.Appendix B 343 Bibliography 361 Index 365