Holdings: Lectures on Galois cohomology of classical groups

Lectures on Galois cohomology of classical groups:

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Bibliographic Details
Main Author:	Kneser, Martin 1928-2004 (Author)
Format:	Book
Language:	English
Published:	Bombay Tata Institute of Fundamental Research 1969
Series:	Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 47
Subjects:	Galois, Théorie de Groupes, Théorie des Group theory Homology theory Galois-Kohomologie Klassische Gruppe
Online Access:	Inhaltsverzeichnis
Physical Description:	II, 158, IV Bl.

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MARC


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Record in the Search Index

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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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indexdate	2024-07-09T16:14:06Z
institution	BVB
language	English
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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

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