Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras:
This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the a...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1995
|
| Ausgabe: | [New print with corrections] |
| Schriftenreihe: | Cambridge studies in advanced mathematics
30 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 URL des Erstveröffentlichers |
| Zusammenfassung: | This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander–Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory |
| Beschreibung: | 1 online resource (xi, 246 Seiten) |
| ISBN: | 9780511623615 |
| DOI: | 10.1017/CBO9780511623615 |
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Datensatz im Suchindex
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| author | Benson, D. J. 1955- |
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| id | DE-604.BV043940146 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9780511623615 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349116 |
| oclc_num | 967678471 |
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| owner | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR DE-83 |
| physical | 1 online resource (xi, 246 Seiten) |
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| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Cambridge University Press |
| record_format | marc |
| series | Cambridge studies in advanced mathematics |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Benson, D. J. 1955- Verfasser aut Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras D. J. Benson [New print with corrections] Cambridge Cambridge University Press 1995 1 online resource (xi, 246 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 30 This is the first of two volumes which will provide an introduction to modern developments in the representation theory of finite groups and associative algebras. The subject is viewed from the perspective of homological algebra and the theory of representations of finite dimensional algebras; the author emphasises modular representations and the homological algebra associated with their categories. This volume is self-contained and independent of its successor, being primarily concerned with the exposition of the necessary background material. The heart of the book is a lengthy introduction to the (Auslander–Reiten) representation theory of finite dimensional algebras, in which the techniques of quivers with relations and almost split sequences are discussed in detail. Much of the material presented here has never appeared in book form. Consequently students and research workers studying group theory and indeed algebra in general will be grateful to Dr Benson for supplying an exposition of a good deal of the essential results of modern representation theory Representations of groups Representations of algebras Homology theory Darstellung Mathematik (DE-588)4128289-9 gnd rswk-swf Kohomologie (DE-588)4031700-6 gnd rswk-swf Darstellungstheorie (DE-588)4148816-7 gnd rswk-swf Gruppe Mathematik (DE-588)4022379-6 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Kohomologietheorie (DE-588)4164610-1 gnd rswk-swf Kohomologie (DE-588)4031700-6 s Gruppe Mathematik (DE-588)4022379-6 s DE-604 Modul (DE-588)4129770-2 s Darstellungstheorie (DE-588)4148816-7 s Darstellung Mathematik (DE-588)4128289-9 s Kohomologietheorie (DE-588)4164610-1 s Erscheint auch als Druck-Ausgabe 978-0-521-36134-7 Erscheint auch als Druck-Ausgabe 978-0-521-63653-7 Cambridge studies in advanced mathematics 30 (DE-604)BV044781283 30 https://doi.org/10.1017/CBO9780511623615 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Benson, D. J. 1955- Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras Cambridge studies in advanced mathematics Representations of groups Representations of algebras Homology theory Darstellung Mathematik (DE-588)4128289-9 gnd Kohomologie (DE-588)4031700-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Modul (DE-588)4129770-2 gnd Kohomologietheorie (DE-588)4164610-1 gnd |
| subject_GND | (DE-588)4128289-9 (DE-588)4031700-6 (DE-588)4148816-7 (DE-588)4022379-6 (DE-588)4129770-2 (DE-588)4164610-1 |
| title | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras |
| title_auth | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras |
| title_exact_search | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras |
| title_full | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras D. J. Benson |
| title_fullStr | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras D. J. Benson |
| title_full_unstemmed | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras D. J. Benson |
| title_short | Representations and cohomology, 1, Basic representation theory of finite groups and associative algebras |
| title_sort | representations and cohomology 1 basic representation theory of finite groups and associative algebras |
| topic | Representations of groups Representations of algebras Homology theory Darstellung Mathematik (DE-588)4128289-9 gnd Kohomologie (DE-588)4031700-6 gnd Darstellungstheorie (DE-588)4148816-7 gnd Gruppe Mathematik (DE-588)4022379-6 gnd Modul (DE-588)4129770-2 gnd Kohomologietheorie (DE-588)4164610-1 gnd |
| topic_facet | Representations of groups Representations of algebras Homology theory Darstellung Mathematik Kohomologie Darstellungstheorie Gruppe Mathematik Modul Kohomologietheorie |
| url | https://doi.org/10.1017/CBO9780511623615 |
| volume_link | (DE-604)BV044781283 |
| work_keys_str_mv | AT bensondj representationsandcohomology1basicrepresentationtheoryoffinitegroupsandassociativealgebras |