Chapter 2. Root Systems

Chapters in this book

1. Frontmatter i
2. Contents v
3. Preface vii
4. Chapter 1. Affine Coxeter Diagrams 1
5. Chapter 2. Root Systems 13
6. Chapter 3. Root Data with Valuation 25
7. Chapter 4. Sectors 39
8. Chapter 5. Faces 45
9. Chapter 6. Gems 53
10. Chapter 7. Affine Buildings 59
11. Chapter 8. The Building at Infinity 67
12. Chapter 9. Trees with Valuation 77
13. Chapter 10. Wall Trees 89
14. Chapter 11. Panel Trees 101
15. Chapter 12. Tree-Preserving Isomorphisms 107
16. Chapter 13. The Moufang Property at Infinity 119
17. Chapter 14. Existence 131
18. Chapter 15. Partial Valuations 147
19. Chapter 16. Bruhat-Tits Theory 159
20. Chapter 17. Completions 167
21. Chapter 18. Automorphisms and Residues 175
22. Chapter 19. Quadrangles of Quadratic Form Type 189
23. Chapter 20. Quadrangles of Indifferent Type 205
24. Chapter 21. Quadrangles of Type E₆, E₇ and E₈ 209
25. Chapter 22. Quadrangles of Type F4 221
26. Chapter 23. Quadrangles of Involutory Type 229
27. Chapter 24. Pseudo-Quadratic Quadrangles 239
28. Chapter 25. Hexagons 261
29. Chapter 26. Assorted Conclusions 275
30. Chapter 27. Summary of the Classification 289
31. Chapter 28. Locally Finite Bruhat-Tits Buildings 297
32. Chapter 29. Appendix A 321
33. Chapter 30. Appendix B 343
34. Bibliography 361
35. Index 365