TY - BOOK AU - Weiss,Richard M. TI - The structure of affine buildings T2 - Annals of mathematics studies SN - 9781400829057 AV - QA174.2 .W454 2009eb U1 - 512/.2 22 PY - 2009/// CY - Princeton, N.J. PB - Princeton University Press KW - Buildings (Group theory) KW - Moufang loops KW - Automorphisms KW - Affine algebraic groups KW - Immeubles (Théorie des groupes) KW - Moufang, Boucles de KW - Automorphismes KW - Groupes algébriques affines KW - MATHEMATICS KW - Group Theory KW - bisacsh KW - fast KW - Affines Gebäude KW - gnd KW - Bruhat-Tits-Gebäude KW - Moufang-Loop KW - Electronic books N1 - Includes bibliographical references and index; 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; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2011 N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305786 ER -