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Author Weiss, Richard M. (Richard Mark), 1946-

Title The structure of affine buildings / Richard M. Weiss
Published Princeton, N.J. : Princeton University Press, ©2009


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. 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
Summary 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 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. MiAaHDL
In English
Print version record
digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL
Subject Buildings (Group theory)
Moufang loops.
Affine algebraic groups.
MATHEMATICS -- Group Theory.
Affine algebraic groups.
Buildings (Group theory)
Moufang loops.
Affines Gebäude
Form Electronic book
LC no. 2008062106
ISBN 9781400829057