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Bestseller
BestsellerE-book
Author Weiss, Richard M. (Richard Mark), 1946-

Title The structure of affine buildings / Richard M. Weiss.

Publication Info. Princeton, N.J. : Princeton University Press, [2009]
©2009

Item Status

Description 1 online resource (x, 368 pages) : illustrations.
Physical Medium polychrome
Description text file
Series Annals of mathematics studies ; no. 168
Annals of mathematics studies ; no. 168.
Bibliography Includes bibliographical references and index.
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.
Access Use copy Restrictions unspecified MiAaHDL
Reproduction Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2011. MiAaHDL
System Details 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
Processing Action digitized 2011 HathiTrust Digital Library committed to preserve MiAaHDL
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Buildings (Group theory)
Buildings (Group theory)
Moufang loops.
Moufang loops.
Automorphisms.
Automorphisms.
Affine algebraic groups.
Affine algebraic groups.
Genre/Form Electronic books.
Other Form: Print version: Weiss, Richard M. (Richard Mark), 1946- Structure of affine buildings. Princeton, N.J. : Princeton University Press, ©2009 (DLC) 2008062106
ISBN 9781400829057 (electronic book)
1400829054 (electronic book)
9780691136592 (cloth ; acid-free paper)
9780691138817 (paperback ; acid-free paper)
0691136599 (cloth ; acid-free paper)
0691138818 (paper ; acid-free paper)