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The structure of affine buildings /

Weiss, Richard M. (1946-)

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The structure of affine buildings /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	The structure of affine buildings // Richard M. Weiss.
Author:	Weiss, Richard M.
Published:	Princeton :Princeton University Press, : 2009.,
Description:	x, 368 p. :ill. ;25 cm.
Series:	Annals of mathematics studies ;
[NT 15003449]:	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.
Subject:	Buildings (Group theory) -
Online resource:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016488857&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
ISBN:	9780691138817 (pbk. : acid-free paper) :

The structure of affine buildings /
Weiss, Richard M.1946-

The structure of affine buildings /Richard M. Weiss. - Princeton :Princeton University Press,2009. - x, 368 p. :ill. ;25 cm. - Annals of mathematics studies ;no. 168.

Includes bibliographical references (p. [361]-363) and index.

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.

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.

ISBN: 9780691138817 (pbk. : acid-free paper) :US52.50

LCCN: 2008062106

Nat. Bib. No.: GBA8B4411bnb

Nat. Bib. Agency Control No.: 014765713UkSubjects--Topical Terms:

699721
Buildings (Group theory)

LC Class. No.: QA174.2 / .W454 2009

Dewey Class. No.: 512/.2

The structure of affine buildings /
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440 0 $a Annals of mathematics studies ; $v no. 168
504 $a Includes bibliographical references (p. [361]-363) and index.
505 0 # $a 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.
520 # $a 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.
650 # 0 $a Buildings (Group theory) $3 699721
650 # 0 $a Moufang loops. $3 1299125
650 # 0 $a Automorphisms. $3 567303
650 # 0 $a Affine algebraic groups. $3 708974
856 4 1 $3 Table of contents $u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=016488857&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA