Modules and group algebras:
These notes grew out of a Nachdiplom course given at the ETH Zurich in the summer semester of 1995. They aim at the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. The book presents an enti...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Basel [u.a.]
Birkhäuser
1996
|
| Schriftenreihe: | Lectures in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Zusammenfassung: | These notes grew out of a Nachdiplom course given at the ETH Zurich in the summer semester of 1995. They aim at the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. The book presents an entirely new approach to the subject based on the recent development in this field. Basically the shift has been towards a much more categorical view of representation theory, and an expansion of the viewpoint to include infinitely generated modules as well as the finitely generated ones. Some of the constructions in the category of all modules have had new and original applications for the category of finitely generated modules. This introduction to a fresh view of the module theory for finite groups is of interest to students and researchers in homotopy theory and group actions as well as the representation theory of finite groups. |
| Beschreibung: | IX, 91 S. |
| ISBN: | 3764353899 0817653899 |
Internformat
MARC
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| 490 | 0 | |a Lectures in mathematics | |
| 520 | 3 | |a These notes grew out of a Nachdiplom course given at the ETH Zurich in the summer semester of 1995. They aim at the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. The book presents an entirely new approach to the subject based on the recent development in this field. Basically the shift has been towards a much more categorical view of representation theory, and an expansion of the viewpoint to include infinitely generated modules as well as the finitely generated ones. Some of the constructions in the category of all modules have had new and original applications for the category of finitely generated modules. This introduction to a fresh view of the module theory for finite groups is of interest to students and researchers in homotopy theory and group actions as well as the representation theory of finite groups. | |
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Datensatz im Suchindex
| _version_ | 1804125091551772672 |
|---|---|
| adam_text | Contents
Preface vii
Notation 1
1 Augmentations, nilpotent ideals, and semisimplicity 2
2 Tensor products, Horns, and duality 5
3 Restriction and induction 9
4 Projective resolutions and cohomology 12
5 The stable category 17
6 Products in cohomology 26
7 Examples and diagrams 42
8 Relative projectivity 53
9 Relative projectivity and ideals in cohomology 58
10 Varieties and modules 64
11 Infinitely generated modules 68
12 Idempotent modules 72
13 Varieties and induced modules 79
References 85
List of symbols 87
Index 89
xi
|
| any_adam_object | 1 |
| author | Carlson, Jon F. 1940- |
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| classification_rvk | SK 230 SK 260 |
| ctrlnum | (OCoLC)34025033 (DE-599)BVBBV010616590 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV010616590 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:56:03Z |
| institution | BVB |
| isbn | 3764353899 0817653899 |
| language | German |
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| physical | IX, 91 S. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
| publishDateSort | 1996 |
| publisher | Birkhäuser |
| record_format | marc |
| series2 | Lectures in mathematics |
| spelling | Carlson, Jon F. 1940- Verfasser (DE-588)133287629 aut Modules and group algebras Jon F. Carlson Basel [u.a.] Birkhäuser 1996 IX, 91 S. txt rdacontent n rdamedia nc rdacarrier Lectures in mathematics These notes grew out of a Nachdiplom course given at the ETH Zurich in the summer semester of 1995. They aim at the development of some of the basics of the interaction of homological algebra, or more specifically the cohomology of groups, and modular representation theory. The book presents an entirely new approach to the subject based on the recent development in this field. Basically the shift has been towards a much more categorical view of representation theory, and an expansion of the viewpoint to include infinitely generated modules as well as the finitely generated ones. Some of the constructions in the category of all modules have had new and original applications for the category of finitely generated modules. This introduction to a fresh view of the module theory for finite groups is of interest to students and researchers in homotopy theory and group actions as well as the representation theory of finite groups. Group algebras Modules (Algebra) Modul (DE-588)4129770-2 gnd rswk-swf Gruppenring (DE-588)4158469-7 gnd rswk-swf Gruppenring (DE-588)4158469-7 s Modul (DE-588)4129770-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007082896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Carlson, Jon F. 1940- Modules and group algebras Group algebras Modules (Algebra) Modul (DE-588)4129770-2 gnd Gruppenring (DE-588)4158469-7 gnd |
| subject_GND | (DE-588)4129770-2 (DE-588)4158469-7 |
| title | Modules and group algebras |
| title_auth | Modules and group algebras |
| title_exact_search | Modules and group algebras |
| title_full | Modules and group algebras Jon F. Carlson |
| title_fullStr | Modules and group algebras Jon F. Carlson |
| title_full_unstemmed | Modules and group algebras Jon F. Carlson |
| title_short | Modules and group algebras |
| title_sort | modules and group algebras |
| topic | Group algebras Modules (Algebra) Modul (DE-588)4129770-2 gnd Gruppenring (DE-588)4158469-7 gnd |
| topic_facet | Group algebras Modules (Algebra) Modul Gruppenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007082896&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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