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<図書>
The structure of affine buildings

責任表示 Richard M. Weiss
シリーズ Annals of mathematics studies ; no. 168
データ種別 図書
出版者 Princeton : Princeton University Press
出版年 2009
本文言語 英語
大きさ x, 368 p. : ill. ; 24 cm
概要 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 autom...rphisms, completions and residues of these buildings.続きを見る
目次 Preface vii Chapter 1. Affine Coxeter Diagrams 1 Chapter 2. Root Systems 13 Chapter 3. Root Data with Valuation 25 Chapter 4. Sectors 39 Chapter 5. Faces 45 Chapter 6. Gems 53 Chapter 7. Affine Buildings 59 Chapter 8. The Building at Infinity 67 Chapter 9. Trees with Valuation 77 Chapter 10. Wall Trees 89 Chapter 11. Panel Trees 101 Chapter 12. Tree-Preserving Isomorphisms 107 Chapter 13. The Moufang Property at Infinity 119 Chapter 14. Existence 131 Chapter 15. Partial Valuations 147 Chapter 16. Bruhat-Tits Theory 159 Chapter 17. Completions 167 Chapter 18. Automorphisms and Residues 175 Chapter 19. Quadrangles of Quadratic Form Type 189 Chapter 20. Quadrangles of Indifferent Type 205 Chapter 21. Quadrangles of Type E6, E7 and E8 209 Chapter 22. Quadrangles of Type F4 221 Chapter 23. Quadrangles of Involutory Type 229 Chapter 24. Pseudo-Quadratic Quadrangles 239 Chapter 25. Hexagons 261 Chapter 26. Assorted Conclusions 275 Chapter 27. Summary of the Classification 289 Chapter 28. Locally Finite Bruhat-Tits Buildings 297 Chapter 29. Appendix A 321 Chapter 30. Appendix B 343 Bibliography 361 Index 365.
電子版へのリンク

所蔵情報

: cloth 理系図3F 数理独自 023212008005391 WEIS/72/3 2009

書誌詳細

一般注記 Includes bibliographical references (p. [361]-363) and index
著者標目 *Weiss, Richard M. (Richard Mark), 1946-
件 名 LCSH:Buildings (Group theory)
LCSH:Moufang loops
LCSH:Automorphisms
LCSH:Affine algebraic groups
分 類 LCC:QA174.2
DC22:512/.2
書誌ID 1001227230
ISBN 9780691136592
NCID BA87417944
巻冊次 : cloth ; ISBN:9780691136592
: [pbk] ; ISBN:9780691138817
登録日 2009.09.18
更新日 2009.11.02

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