Lectures on Galois cohomology of classical groups:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Bombay
Tata Institute of Fundamental Research
1969
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| Schriftenreihe: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
47 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | II, 158, IV Bl. |
Internformat
MARC
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| 245 | 1 | 0 | |a Lectures on Galois cohomology of classical groups |c by M. Kneser. Notes by P. Jothilingam |
| 264 | 1 | |a Bombay |b Tata Institute of Fundamental Research |c 1969 | |
| 300 | |a II, 158, IV Bl. | ||
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| 490 | 1 | |a Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |v 47 | |
| 650 | 4 | |a Galois, Théorie de | |
| 650 | 4 | |a Groupes, Théorie des | |
| 650 | 4 | |a Group theory | |
| 650 | 4 | |a Homology theory | |
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| 810 | 2 | |a Mathematics |t Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics |v 47 |w (DE-604)BV000015654 |9 47 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Page
Chapter^ I_ _GaloLs Cohomoiogy
1.1. Non commutative cohomology 1
1.2. Profinite groups 3
1.3. Induction 4
1.4. Tv.dsting 7
1.5. Exact sequences 11
1.6. Galois cohomology 13
t.7. Three examples 16
Chapter II Classical Groups
2.1. Linear algebraic groups 19
2.2. Semi simple groups 21
2.3. Simple groups 26
2.L. Classical groups 30
2.5. Algebras with involution 36
2.6. Bilinear and herraitian forms, discriminants 40
Chapter III Algebraic Tori
3 1* Definitions and examples 47
3.2. Class field theory 49
Chapter IV p adic groups
4.1. Statement of results 60
4.2. Proof of theorem 2 63
4. 3* Proof of theorem 1 70
Chapter V Number fields
5.1. Statement of results 77
5.2, Proof of theorem 2 83
5.3* Proof of theorem 1b 85
5.4. Froof of theorem la for type a^ 87
o
5.5. Proof of theorem 1a for type A^ reductions
(Landherr s theorem) 91
5.6. Proof of proposition 1 when n is odd 103
5.7. Proof of propositions a), b) when n is even 109
5.8. Proof of theore.r. 1a for croups of type Cn 122
5.9. Quadratic forms 125
5» 10. Skew herrnitian forms over quaternion division algebras 12?
5. 11. Applications 132
Appendix by T.A. Springer
Hasse s theorem for skew he ^Titian forms over quaternion
algebras 139
Bibliography 151
Errata 153
|
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| author | Kneser, Martin 1928-2004 |
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| dewey-full | 512.86 |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512.86 |
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| discipline | Mathematik |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:06Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002797052 |
| oclc_num | 4452422 |
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| physical | II, 158, IV Bl. |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Kneser, Martin 1928-2004 Verfasser (DE-588)117714186 aut Lectures on Galois cohomology of classical groups by M. Kneser. Notes by P. Jothilingam Bombay Tata Institute of Fundamental Research 1969 II, 158, IV Bl. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 47 Galois, Théorie de Groupes, Théorie des Group theory Homology theory Galois-Kohomologie (DE-588)4019172-2 gnd rswk-swf Klassische Gruppe (DE-588)4164040-8 gnd rswk-swf Galois-Kohomologie (DE-588)4019172-2 s Klassische Gruppe (DE-588)4164040-8 s DE-604 Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 47 (DE-604)BV000015654 47 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kneser, Martin 1928-2004 Lectures on Galois cohomology of classical groups Galois, Théorie de Groupes, Théorie des Group theory Homology theory Galois-Kohomologie (DE-588)4019172-2 gnd Klassische Gruppe (DE-588)4164040-8 gnd |
| subject_GND | (DE-588)4019172-2 (DE-588)4164040-8 |
| title | Lectures on Galois cohomology of classical groups |
| title_auth | Lectures on Galois cohomology of classical groups |
| title_exact_search | Lectures on Galois cohomology of classical groups |
| title_full | Lectures on Galois cohomology of classical groups by M. Kneser. Notes by P. Jothilingam |
| title_fullStr | Lectures on Galois cohomology of classical groups by M. Kneser. Notes by P. Jothilingam |
| title_full_unstemmed | Lectures on Galois cohomology of classical groups by M. Kneser. Notes by P. Jothilingam |
| title_short | Lectures on Galois cohomology of classical groups |
| title_sort | lectures on galois cohomology of classical groups |
| topic | Galois, Théorie de Groupes, Théorie des Group theory Homology theory Galois-Kohomologie (DE-588)4019172-2 gnd Klassische Gruppe (DE-588)4164040-8 gnd |
| topic_facet | Galois, Théorie de Groupes, Théorie des Group theory Homology theory Galois-Kohomologie Klassische Gruppe |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797052&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000015654 |
| work_keys_str_mv | AT knesermartin lecturesongaloiscohomologyofclassicalgroups |