The structure of affine buildings:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton [u.a.]
Princeton Univ. Press
2009
|
| Schriftenreihe: | Annals of mathematics studies
168 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 368 S. |
| ISBN: | 9780691138817 9780691136592 |
Internformat
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| 100 | 1 | |a Weiss, Richard M. |d 1946- |e Verfasser |0 (DE-588)123955750 |4 aut | |
| 245 | 1 | 0 | |a The structure of affine buildings |c Richard M. Weiss |
| 264 | 1 | |a Princeton [u.a.] |b Princeton Univ. Press |c 2009 | |
| 300 | |a X, 368 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Annals of mathematics studies |v 168 | |
| 650 | 4 | |a Affine algebraic groups | |
| 650 | 4 | |a Automorphisms | |
| 650 | 4 | |a Buildings (Group theory) | |
| 650 | 4 | |a Moufang loops | |
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Datensatz im Suchindex
| _version_ | 1804137634878980097 |
|---|---|
| adam_text | Contents
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
vi CONTENTS
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 Eq, E-j and Eg 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
|
| adam_txt |
Contents
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
vi CONTENTS
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 Eq, E-j and Eg 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 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:47:55Z |
| indexdate | 2024-07-09T21:15:25Z |
| institution | BVB |
| isbn | 9780691138817 9780691136592 |
| language | English |
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| publishDate | 2009 |
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| publisher | Princeton Univ. Press |
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| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Weiss, Richard M. 1946- Verfasser (DE-588)123955750 aut The structure of affine buildings Richard M. Weiss Princeton [u.a.] Princeton Univ. Press 2009 X, 368 S. txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 168 Affine algebraic groups Automorphisms Buildings (Group theory) Moufang loops Moufang-Loop (DE-588)4440400-1 gnd rswk-swf Affines Gebäude (DE-588)4225935-6 gnd rswk-swf Bruhat-Tits-Gebäude (DE-588)4398248-7 gnd rswk-swf Affines Gebäude (DE-588)4225935-6 s Moufang-Loop (DE-588)4440400-1 s DE-604 Bruhat-Tits-Gebäude (DE-588)4398248-7 s Annals of mathematics studies 168 (DE-604)BV000000991 168 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016488857&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weiss, Richard M. 1946- The structure of affine buildings Annals of mathematics studies Affine algebraic groups Automorphisms Buildings (Group theory) Moufang loops Moufang-Loop (DE-588)4440400-1 gnd Affines Gebäude (DE-588)4225935-6 gnd Bruhat-Tits-Gebäude (DE-588)4398248-7 gnd |
| subject_GND | (DE-588)4440400-1 (DE-588)4225935-6 (DE-588)4398248-7 |
| title | The structure of affine buildings |
| title_auth | The structure of affine buildings |
| title_exact_search | The structure of affine buildings |
| title_exact_search_txtP | The structure of affine buildings |
| title_full | The structure of affine buildings Richard M. Weiss |
| title_fullStr | The structure of affine buildings Richard M. Weiss |
| title_full_unstemmed | The structure of affine buildings Richard M. Weiss |
| title_short | The structure of affine buildings |
| title_sort | the structure of affine buildings |
| topic | Affine algebraic groups Automorphisms Buildings (Group theory) Moufang loops Moufang-Loop (DE-588)4440400-1 gnd Affines Gebäude (DE-588)4225935-6 gnd Bruhat-Tits-Gebäude (DE-588)4398248-7 gnd |
| topic_facet | Affine algebraic groups Automorphisms Buildings (Group theory) Moufang loops Moufang-Loop Affines Gebäude Bruhat-Tits-Gebäude |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016488857&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000000991 |
| work_keys_str_mv | AT weissrichardm thestructureofaffinebuildings |