Chapter 34. Forms of Residually Pseudo-Split Buildings

Chapters in this book

1. Frontmatter i
2. Contents vii
3. Preface xi
4. PART 1. Moufang Quadrangles
5. Chapter 1. Buildings 3
6. Chapter 2. Quadratic Forms 13
7. Chapter 3. Moufang Polygons 23
8. Chapter 4. Moufang Quadrangles 31
9. Chapter 5. Linked Tori, I 41
10. Chapter 6. Linked Tori, II 47
11. Chapter 7. Quadratic Forms over a Local Field 57
12. Chapter 8. Quadratic Forms of Type E₆, E₇ and E₈ 69
13. Chapter 9. Quadratic Forms of Type F₄ 79
14. PART 2. Residues in Bruhat-Tits Buildings
15. Chapter 10. Residues 85
16. Chapter 11. Unramified Quadrangles of Type E₆, E₇ and E₈ 91
17. Chapter 12. Semi-ramified Quadrangles of Type E₆, E₇ and E₈ 93
18. Chapter 13. Ramified Quadrangles of Type E₆, E₇ and E₈ 101
19. Chapter 14. Quadrangles of Type E₆, E₇ and E₈: Summary 109
20. Chapter 15. Totally Wild Quadratic Forms of Type E₇ 115
21. Chapter 16. Existence 119
22. Chapter 17. Quadrangles of Type F₄ 129
23. Chapter 18. The Other Bruhat-Tits Buildings 137
24. PART 3. Descent
25. Chapter 19. Coxeter Groups 143
26. Chapter 20. Tits Indices 153
27. Chapter 21. Parallel Residues 165
28. Chapter 22. Fixed Point Buildings 181
29. Chapter 23. Subbuildings 195
30. Chapter 24. Moufang Structures 205
31. Chapter 25. Fixed Apartments 217
32. Chapter 26. The Standard Metric 221
33. Chapter 27. Affine Fixed Point Buildings 233
34. PART 4. Galois Involutions
35. Chapter 28. Pseudo-Split Buildings 243
36. Chapter 29. Linear Automorphisms 251
37. Chapter 30. Strictly Semi-linear Automorphisms 259
38. Chapter 31. Galois Involutions 271
39. Chapter 32. Unramified Galois Involutions 275
40. PART 5. Exceptional Tits Indices
41. Chapter 33. Residually Pseudo-Split Buildings 287
42. Chapter 34. Forms of Residually Pseudo-Split Buildings 297
43. Chapter 35. Orthogonal Buildings 303
44. Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings 309
45. Bibliography 327
46. Index 333