The structure of affine buildings / Richard M. Weiss.
Material type:![Text](/opac-tmpl/lib/famfamfam/BK.png)
- text
- computer
- online resource
- 9781400829057
- 1400829054
- 1282458361
- 9781282458369
- 9786612458361
- 6612458364
- Buildings (Group theory)
- Moufang loops
- Automorphisms
- Affine algebraic groups
- Immeubles (Théorie des groupes)
- Moufang, Boucles de
- Automorphismes
- Groupes algébriques affines
- MATHEMATICS -- Group Theory
- Affine algebraic groups
- Automorphisms
- Buildings (Group theory)
- Moufang loops
- Affines Gebäude
- Bruhat-Tits-Gebäude
- Moufang-Loop
- 512/.2 22
- QA174.2 .W454 2009eb
- SI 830
- SK 260
- digitized 2011 HathiTrust Digital Library committed to preserve
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OPJGU Sonepat- Campus | E-Books EBSCO | Available |
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.
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.
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In English.
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