Overview

Offers a presentation of the complete proof of the classification of Bruhat-Tits buildings first completed by Jacques Tits in 1986. This book includes numerous results about automorphisms, completions, and residues of these buildings.

Full Product Details

Author:   Richard M. Weiss
Publisher:   Princeton University Press
Imprint:   Princeton University Press
Volume:   182
Dimensions:   Width: 15.20cm , Height: 3.00cm , Length: 23.50cm
Weight:   0.765kg
ISBN:  

9780691136592

ISBN 10:   0691136599
Pages:   384
Publication Date:   28 September 2008
Audience:   College/higher education ,  Professional and scholarly ,  Tertiary & Higher Education ,  Professional & Vocational
Replaced By:   9781400829057
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.
Language:   English

Table of Contents

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

Reviews

Author Information

"Richard M. Weiss is the William Walker Professor of Mathematics at Tufts University and Honorary Professor in the School of Mathematics and Statistics at the University of Birmingham in the United Kingdom. He is the author of ""The Structure of Spherical Buildings"" and ""Quadrangular Algebras"" (both Princeton) and the coauthor with Jacques Tits of ""Moufang Polygons"". He received a Humboldt Research Prize in 2004."

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions