The Structure of Affine Buildings. (AM-168) / / Richard M. Weiss.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Weiss, Richard M.,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2008]; ©2009
• Year of Publication: 2008
• Edition: Course Book
• Language: English
• Series: Annals of Mathematics Studies ; 168
• Physical Description: 1 online resource (384 p.) :; 8 line illus. 8 tables.

In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. The book includes numerous results about automorphisms, completions, and residues of these buildings. It als...

Table of Contents

• Frontmatter
• Contents
• Preface
• Chapter 1. Affine Coxeter Diagrams
• Chapter 2. Root Systems
• Chapter 3. Root Data with Valuation
• Chapter 4. Sectors
• Chapter 5. Faces
• Chapter 6. Gems
• Chapter 7. Affine Buildings
• Chapter 8. The Building at Infinity
• Chapter 9. Trees with Valuation
• Chapter 10. Wall Trees
• Chapter 11. Panel Trees
• Chapter 12. Tree-Preserving Isomorphisms
• Chapter 13. The Moufang Property at Infinity
• Chapter 14. Existence
• Chapter 15. Partial Valuations
• Chapter 16. Bruhat-Tits Theory
• Chapter 17. Completions
• Chapter 18. Automorphisms and Residues
• Chapter 19. Quadrangles of Quadratic Form Type
• Chapter 20. Quadrangles of Indifferent Type
• Chapter 21. Quadrangles of Type E6, E7 and E8
• Chapter 22. Quadrangles of Type F4
• Chapter 23. Quadrangles of Involutory Type
• Chapter 24. Pseudo-Quadratic Quadrangles
• Chapter 25. Hexagons
• Chapter 26. Assorted Conclusions
• Chapter 27. Summary of the Classification
• Chapter 28. Locally Finite Bruhat-Tits Buildings
• Chapter 29. Appendix A
• Chapter 30. Appendix B
• Bibliography
• Index