| Description |
1 online resource (x, 368 pages) : illustrations |
| Series |
Annals of mathematics studies ; no. 168 |
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Annals of mathematics studies ; no. 168.
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| 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. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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In English |
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Print version record |
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digitized 2011 HathiTrust Digital Library committed to preserve pda MiAaHDL |
| Subject |
Buildings (Group theory)
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Moufang loops.
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Automorphisms.
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Affine algebraic groups.
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MATHEMATICS -- Group Theory.
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Affine algebraic groups.
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Automorphisms.
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Buildings (Group theory)
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Moufang loops.
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Affines Gebäude
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Bruhat-Tits-Gebäude
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Moufang-Loop
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| Form |
Electronic book
|
| LC no. |
2008062106 |
| ISBN |
9781400829057 |
|
1400829054 |
|
1282458361 |
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9781282458369 |
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9786612458361 |
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6612458364 |
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