Descent in buildings:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Princeton
Princeton University Press
2015
|
| Schriftenreihe: | Annals of mathematics studies
190 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | xvi, 336 Seiten |
| ISBN: | 9780691166919 9780691166902 |
Internformat
MARC
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Datensatz im Suchindex
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| adam_text | Titel: Descent in buildings
Autor: Mühlherr, Bernhard
Jahr: 2015
Contents Preface xi PART 1. MOUFANG QUADRANGLES 1 Chapter 1. Buildings 3 Chapter 2. Quadratic Forms 13 Chapter 3. Moufang Polygons 23 Chapter 4. Moufang Quadrangles 31 Chapter 5. Linked Tori, I 41 Chapter 6. Linked Tori, II 47 Chapter 7. Quadratic Forms over a Local Field 57 Chapter 8. Quadratic Forms of Type Eg, Ej and Eg 69 Chapter 9. Quadratic Forms of Type F4 79 PART 2. RESIDUES IN BRUHAT-TITS BUILDINGS 83 Chapter 10. Residues 85 Chapter 11. Unramified Quadrangles of Type Eg, Ej and Eg 91 Chapter 12. Semi-ramified Quadrangles of Type Eg, Ej and Eg 93 Chapter 13. Ramified Quadrangles of Type Eg, Ej and Eg 101 Chapter 14. Quadrangles of Type Eg, Ej and Eg: Summary 109 Chapter 15. Totally Wild Quadratic Forms of Type E 7 115
viii CONTENTS Chapter 16. Existence 119 Chapter 17. Quadrangles of Type 7*4 129 Chapter 18. The Other Bruhat-Tits Buildings 137 PART 3. DESCENT 141 Chapter 19. Coxeter Groups 143 Chapter 20. Tits Indices 153 Chapter 21. Parallel Residues 165 Chapter 22. Fixed Point Buildings 181 Chapter 23. Subbuildings 195 Chapter 24. Moufang Structures 205 Chapter 25. Fixed Apartments 217 Chapter 26. The Standard Metric 221 Chapter 27. Affine Fixed Point Buildings 233 PART 4. GALOIS INVOLUTIONS 241 Chapter 28. Pseudo-Split Buildings 243 Chapter 29. Linear Automorphisms 251 Chapter 30. Strictly Semi-linear Automorphisms 259 Chapter 31. Galois Involutions 271 Chapter 32. Unramified Galois Involutions 275 PART 5. EXCEPTIONAL TITS INDICES 285 Chapter 33. Residually Pseudo-Split Buildings 287 Chapter 34. Forms of Residually Pseudo-Split Buildings 297
CONTENTS IX Chapter 35. Orthogonal Buildings 303 Chapter 36. Indices for the Exceptional Bruhat-Tits Buildings 309 Bibliography 327 Index 333
|
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-sort | 3516 213 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| indexdate | 2024-07-10T07:12:51Z |
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| isbn | 9780691166919 9780691166902 |
| language | English |
| lccn | 015008618 |
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| physical | xvi, 336 Seiten |
| publishDate | 2015 |
| publishDateSearch | 2015 |
| publishDateSort | 2015 |
| publisher | Princeton University Press |
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| series | Annals of mathematics studies |
| series2 | Annals of mathematics studies |
| spelling | Mühlherr, Bernhard 1965- Verfasser (DE-588)172811589 aut Descent in buildings Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss Princeton Princeton University Press 2015 xvi, 336 Seiten txt rdacontent n rdamedia nc rdacarrier Annals of mathematics studies 190 Includes bibliographical references and index Buildings (Group theory) Combinatorial geometry Gebäude Mathematik (DE-588)4123258-6 gnd rswk-swf Gebäude Mathematik (DE-588)4123258-6 s DE-604 Petersson, Holger 1939- (DE-588)140331247 aut Weiss, Richard M. 1946- (DE-588)123955750 aut Annals of mathematics studies 190 (DE-604)BV000000991 190 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028347785&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mühlherr, Bernhard 1965- Petersson, Holger 1939- Weiss, Richard M. 1946- Descent in buildings Annals of mathematics studies Buildings (Group theory) Combinatorial geometry Gebäude Mathematik (DE-588)4123258-6 gnd |
| subject_GND | (DE-588)4123258-6 |
| title | Descent in buildings |
| title_auth | Descent in buildings |
| title_exact_search | Descent in buildings |
| title_full | Descent in buildings Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss |
| title_fullStr | Descent in buildings Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss |
| title_full_unstemmed | Descent in buildings Bernhard Mühlherr, Holger P. Petersson, Richard M. Weiss |
| title_short | Descent in buildings |
| title_sort | descent in buildings |
| topic | Buildings (Group theory) Combinatorial geometry Gebäude Mathematik (DE-588)4123258-6 gnd |
| topic_facet | Buildings (Group theory) Combinatorial geometry Gebäude Mathematik |
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