Description 
1 online resource (x, 368 pages) : illustrations 
Series 
Annals of mathematics studies ; no. 168 

Annals of mathematics studies ; no. 168.

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. TreePreserving Isomorphisms; Chapter 13. The Moufang Property at Infinity; Chapter 14. Existence; Chapter 15. Partial Valuations; Chapter 16. BruhatTits Theory; Chapter 17. Completions; Chapter 18. Automorphisms and Residues 
Summary 
In The Structure of Affine Buildings, Richard Weiss gives a detailed presentation of the complete proof of the classification of BruhatTits buildings first completed by Jacques Tits in 1986. The book includes numerous results about automorphisms, completions, and residues of these buildings. It also includes tables correlating the results in the locally finite case with the results of Tits's classification of absolutely simple algebraic groups defined over a local field. A companion to Weiss's The Structure of Spherical Buildings, The Structure of Affine Buildings is organized around the clas 
Bibliography 
Includes bibliographical references and index 
Notes 
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL 

In English 

Print version record 

digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL 
Subject 
Buildings (Group theory)


Moufang loops.


Automorphisms.


Affine algebraic groups.


MATHEMATICS  Group Theory.


Affine algebraic groups.


Automorphisms.


Buildings (Group theory)


Moufang loops.


Affines Gebäude


BruhatTitsGebäude


MoufangLoop

Form 
Electronic book

LC no. 
2008062106 
ISBN 
9781400829057 

1400829054 

1282458361 

9781282458369 

9786612458361 

6612458364 
