Cohomological invariants: exceptional groups and spin groups
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Math. Soc.
2009
|
| Series: | Memoirs of the American Mathematical Society
937 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 200, number 937 (second of 6 numbers)." Includes bibliographical references and index |
| Physical Description: | XII, 81 S. |
| ISBN: | 9780821844045 |
Staff View
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| 264 | 1 | |a Providence, R.I. |b American Math. Soc. |c 2009 | |
| 300 | |a XII, 81 S. | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 937 | |
| 500 | |a "Volume 200, number 937 (second of 6 numbers)." | ||
| 500 | |a Includes bibliographical references and index | ||
| 650 | 7 | |a Cohomologia de galois |2 larpcal | |
| 650 | 7 | |a Grupos algébricos lineares |2 larpcal | |
| 650 | 7 | |a Invariantes |2 larpcal | |
| 650 | 4 | |a Galois cohomology | |
| 650 | 4 | |a Linear algebraic groups | |
| 650 | 4 | |a Invariants | |
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Record in the Search Index
| _version_ | 1804139259783806976 |
|---|---|
| adam_text | Titel: Cohomological invariants
Autor: Garibaldi, Skip
Jahr: 2009
Contents
List of Tables jx
Preface xj
Part I. Invariants, especially modulo an odd prime 1
1. Definitions and notations 2
2. Invariants of fj,n 5
3. Quasi-Galois extensions and invariants of Z/ p L 7
4. An example: the mod p Bockstein map 10
5. Restricting invariants 12
6. Mod p invariants of PGLP 14
7. Extending invariants 17
8. Mod 3 invariants of Albert algebras 19
Part II. Surjectivities and invariants of E$, Er, and Es 23
9. Surjectivities: internal Chevalley modules 24
10. New invariants from homogeneous forms 29
11. Mod 3 invariants of simply connected Ee 31
12. Surjectivities: the highest root 33
13. Mod 3 invariants of E7 38
14. Construction of groups of type Eg 39
15. Mod 5 invariants of Eg 44
Part III. Spin groups 47
16. Introduction to Part III 48
17. Surjectivities: Spinn for 7 n 12 48
18. Invariants of Spinn for 7 n 10 53
19. Divided squares in the Grothendieck-Witt ring 56
20. Invariants of Spinn and Spin12 58
21. Surjectivities: Spin14 61
22. Invariants of Spin14 65
23. Partial summary of results 66
Appendices 69
A. Examples of anisotropic groups of type E? 70
B. A generalization of the Common Slot Theorem
By Detlev W. Hoffmann 73
Bibliography 77
V
List of Tables
5 References for results on Invnorm (G,C) where G is exceptional and the
exponent of G is a power of a prime p 13
9 Extended Dynkin diagrams 26
12 Internal Chevalley modules corresponding to the highest root 34
16 Description of Spinn for 1 n 6 48
23a Examples of inclusions for which the morphism Hfppi (*, N) —+ i?1(*, G) is
surjective 66
23b Invariants and essential dimension of Spinn for n 14 67
ix
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| any_adam_object | 1 |
| author | Garibaldi, Skip 1972- |
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| dewey-full | 514/.23 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 514 - Topology |
| dewey-raw | 514/.23 |
| dewey-search | 514/.23 |
| dewey-sort | 3514 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV035595430 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T21:41:15Z |
| institution | BVB |
| isbn | 9780821844045 |
| language | English |
| lccn | 2009008059 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-017650580 |
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| physical | XII, 81 S. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | American Math. Soc. |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Garibaldi, Skip 1972- Verfasser (DE-588)138606889 aut Cohomological invariants exceptional groups and spin groups Skip Garibaldi ; (with an appendix by Detlev W. Hoffmann) Providence, R.I. American Math. Soc. 2009 XII, 81 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 937 "Volume 200, number 937 (second of 6 numbers)." Includes bibliographical references and index Cohomologia de galois larpcal Grupos algébricos lineares larpcal Invariantes larpcal Galois cohomology Linear algebraic groups Invariants Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf Invariante (DE-588)4128781-2 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 s Invariante (DE-588)4128781-2 s DE-604 Hoffmann, Detlev W. Sonstige (DE-588)113404395 oth Memoirs of the American Mathematical Society 937 (DE-604)BV008000141 937 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017650580&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Garibaldi, Skip 1972- Cohomological invariants exceptional groups and spin groups Memoirs of the American Mathematical Society Cohomologia de galois larpcal Grupos algébricos lineares larpcal Invariantes larpcal Galois cohomology Linear algebraic groups Invariants Galois-Kohomologie (DE-588)4019172-2 gnd Invariante (DE-588)4128781-2 gnd |
| subject_GND | (DE-588)4019172-2 (DE-588)4128781-2 |
| title | Cohomological invariants exceptional groups and spin groups |
| title_auth | Cohomological invariants exceptional groups and spin groups |
| title_exact_search | Cohomological invariants exceptional groups and spin groups |
| title_full | Cohomological invariants exceptional groups and spin groups Skip Garibaldi ; (with an appendix by Detlev W. Hoffmann) |
| title_fullStr | Cohomological invariants exceptional groups and spin groups Skip Garibaldi ; (with an appendix by Detlev W. Hoffmann) |
| title_full_unstemmed | Cohomological invariants exceptional groups and spin groups Skip Garibaldi ; (with an appendix by Detlev W. Hoffmann) |
| title_short | Cohomological invariants |
| title_sort | cohomological invariants exceptional groups and spin groups |
| title_sub | exceptional groups and spin groups |
| topic | Cohomologia de galois larpcal Grupos algébricos lineares larpcal Invariantes larpcal Galois cohomology Linear algebraic groups Invariants Galois-Kohomologie (DE-588)4019172-2 gnd Invariante (DE-588)4128781-2 gnd |
| topic_facet | Cohomologia de galois Grupos algébricos lineares Invariantes Galois cohomology Linear algebraic groups Invariants Galois-Kohomologie Invariante |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017650580&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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