Descent in Buildings (AM-190) / / Richard M. Weiss, Holger P. Petersson, Bernhard Mühlherr.
Descent in Buildings begins with the resolution of a major open question about the local structure of Bruhat-Tits buildings. The authors then put their algebraic solution into a geometric context by developing a general fixed point theory for groups acting on buildings of arbitrary type, giving nece...
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Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2015] ©2016 |
Year of Publication: | 2015 |
Language: | English |
Series: | Annals of Mathematics Studies ;
190 |
Online Access: | |
Physical Description: | 1 online resource (352 p.) :; 22 line illus. 8 tables. |
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Table of Contents:
- Frontmatter
- Contents
- Preface
- PART 1. Moufang Quadrangles
- Chapter 1. Buildings
- Chapter 2. Quadratic Forms
- Chapter 3. Moufang Polygons
- Chapter 4. Moufang Quadrangles
- Chapter 5. Linked Tori, I
- Chapter 6. Linked Tori, II
- Chapter 7. Quadratic Forms over a Local Field
- Chapter 8. Quadratic Forms of Type E6, E7 and E8
- Chapter 9. Quadratic Forms of Type F4
- PART 2. Residues in Bruhat-Tits Buildings
- Chapter 10. Residues
- Chapter 11. Unramified Quadrangles of Type E6, E7 and E8
- Chapter 12. Semi-ramified Quadrangles of Type E6, E7 and E8
- Chapter 13. Ramified Quadrangles of Type E6, E7 and E8
- Chapter 14. Quadrangles of Type E6, E7 and E8: Summary
- Chapter 15. Totally Wild Quadratic Forms of Type E7
- Chapter 16. Existence
- Chapter 17. Quadrangles of Type F4
- Chapter 18. The Other Bruhat-Tits Buildings
- PART 3. Descent
- Chapter 19. Coxeter Groups
- Chapter 20. Tits Indices
- Chapter 21. Parallel Residues
- Chapter 22. Fixed Point Buildings
- Chapter 23. Subbuildings
- Chapter 24. Moufang Structures
- Chapter 25. Fixed Apartments
- Chapter 26. The Standard Metric
- Chapter 27. Affine Fixed Point Buildings
- PART 4. Galois Involutions
- Chapter 28. Pseudo-Split Buildings
- Chapter 29. Linear Automorphisms
- Chapter 30. Strictly Semi-linear Automorphisms
- Chapter 31. Galois Involutions
- Chapter 32. Unramified Galois Involutions
- PART 5. Exceptional Tits Indices
- Chapter 33. Residually Pseudo-Split Buildings
- Chapter 34. Forms of Residually Pseudo-Split Buildings
- Chapter 35. Orthogonal Buildings
- Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings
- Bibliography
- Index