Quadratic mappings and Clifford algebras:
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Basel ; Boston ; Berlin
Birkhäuser
[2008]
|
| Schlagworte: | |
| Online-Zugang: | Volltext Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783764386061 |
| DOI: | 10.1007/978-3-7643-8606-1 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804139002869055488 |
|---|---|
| adam_text | CONTENTS INTRODUCTION IX 1 ALGEBRAIC PRELIMINARIES 1.1 SOME GENERAL
NOTATION AND DEFINITIONS 1 1.2 UNIVERSAL OBJECTS IN A CATEGORY 2 1.3
EXAMPLES OF UNIVERSAL OBJECTS 4 1.4 TENSOR ALGEBRAS AND SYMMETRIC
ALGEBRAS 8 1.5 FUNCTORS 10 1.6 EXACT SEQUENCES 12 1.7 PROJECTIVE MODULES
AND FLAT MODULES 14 1.8 FINITELY PRESENTED MODULES 15 1.9 CHANGES OF
BASIC RINGS 17 1.10 RINGS AND MODULES OF FRACTIONS 21 1.11 LOCALIZATION
AND GLOBALIZATION 25 1.12 FINITELY GENERATED MODULES 30 1.13 SOME
APPLICATIONS 37 EXERCISES 42 2 QUADRATIC MAPPINGS 2.1 GENERALITIES 53
2.2 CHANGES OF BASIC RING AND LOCALIZATIONS 57 2.3 NONDEGENERATE
QUADRATIC MAPPINGS 59 2.4 OPERATIONS ON QUADRATIC MAPPINGS AND SYMMETRIC
BILINEAR MAPPINGS 63 2.5 HYPERBOLIC AND METABOLIC SPACES 67 2.6
ORTHOGONAL DECOMPOSITIONS OF QUADRATIC SPACES 72 2.7 WITT RINGS 78 2.8
EXAMPLES OF WITT RINGS 83 EXERCISES 93 GESCANNT DURCH BIBLIOGRAFISCHE
INFORMATIONEN HTTP://D-NB.INFO/985454423 DIGITALISIERT DURCH * *
CONTENTS VII 6.6 GRADED CENTRAL SIMPLE ALGEBRAS OVER A FIELD 353 6.7
MORE INFORMATION ABOUT GRADED AZUMAYA ALGEBRAS 358 6.8 INVOLUTIONS ON
GRADED CENTRAL SIMPLE ALGEBRAS 365 EXERCISES 376 7 HYPERBOLIC SPACES 7.1
SOME REPRESENTATIONS OF CLIFFORD ALGEBRAS 391 7.2 THE CARTAN-CHEVALLEY
MAPPING 395 7.3 THE BIJECTION C(V) F MAX (U) C(V) - C(M) 403
7.4 THE CARTAN-CHEVALLEY CRITERION 409 7.5 APPLICATIONS TO LIPSCHITZ
MONOIDS 414 7.6 APPLICATIONS TO TOTALLY ISOTROPIC DIRECT SUMMANDS OF
MAXIMAL RANK 421 EXERCISES 425 8 COMPLEMENTS ABOUT WITT RINGS AND OTHER
TOPICS 8.1 WITT RINGS OVER LOCAL RINGS WHEN 2 IS INVERTIBLE 439 8.2
CONTINUATION WHEN 2 IS NOT INVERTIBLE 445 8.3 WITT RINGS OF PRIIFER
RINGS 453 8.4 QUADRATIC FORMS IN CHARACTERISTIC 2 461 8.5 CLIFFORD
ALGEBRAS IN CHARACTERISTIC 2 464 8.6 THE GROUP OF CLASSES OF CLIFFORD
ALGEBRAS 468 EXERCISES 478 BIBLIOGRAPHY BOOKS AND BOOKLETS 489 OTHER
PUBLICATIONS 492 INDEX OF DEFINITIONS 499 INDEX OF NOTATION 503
|
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| indexdate | 2024-07-09T21:37:10Z |
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| isbn | 9783764386061 |
| language | English |
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| spelling | Quadratic mappings and Clifford algebras Jacques Helmstetter ; Artibano Micali Basel ; Boston ; Berlin Birkhäuser [2008] © 2008 1 Online-Ressource txt rdacontent c rdamedia cr rdacarrier Quadratischer Modul (DE-588)4819733-6 gnd rswk-swf Clifford-Algebra (DE-588)4199958-7 gnd rswk-swf Quadratische Form (DE-588)4128297-8 gnd rswk-swf Quadratische Form (DE-588)4128297-8 s Clifford-Algebra (DE-588)4199958-7 s Quadratischer Modul (DE-588)4819733-6 s DE-604 Helmstetter, Jacques Sonstige oth Micali, Artibano 1931-2011 Sonstige (DE-588)1120438896 oth Erscheint auch als Druck-Ausgabe 978-3-7643-8605-4 https://doi.org/10.1007/978-3-7643-8606-1 Verlag URL des Erstveröffentlichers Volltext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445990&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Quadratic mappings and Clifford algebras Quadratischer Modul (DE-588)4819733-6 gnd Clifford-Algebra (DE-588)4199958-7 gnd Quadratische Form (DE-588)4128297-8 gnd |
| subject_GND | (DE-588)4819733-6 (DE-588)4199958-7 (DE-588)4128297-8 |
| title | Quadratic mappings and Clifford algebras |
| title_auth | Quadratic mappings and Clifford algebras |
| title_exact_search | Quadratic mappings and Clifford algebras |
| title_full | Quadratic mappings and Clifford algebras Jacques Helmstetter ; Artibano Micali |
| title_fullStr | Quadratic mappings and Clifford algebras Jacques Helmstetter ; Artibano Micali |
| title_full_unstemmed | Quadratic mappings and Clifford algebras Jacques Helmstetter ; Artibano Micali |
| title_short | Quadratic mappings and Clifford algebras |
| title_sort | quadratic mappings and clifford algebras |
| topic | Quadratischer Modul (DE-588)4819733-6 gnd Clifford-Algebra (DE-588)4199958-7 gnd Quadratische Form (DE-588)4128297-8 gnd |
| topic_facet | Quadratischer Modul Clifford-Algebra Quadratische Form |
| url | https://doi.org/10.1007/978-3-7643-8606-1 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017445990&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT helmstetterjacques quadraticmappingsandcliffordalgebras AT micaliartibano quadraticmappingsandcliffordalgebras |