Descent in Buildings (AM-190) /

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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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
VerfasserIn:
Mühlherr, Bernhard,
Petersson, Holger P.,
Weiss, Richard M.,
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

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