A course in finite group representation theory:
This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topi...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2016
|
| Schriftenreihe: | Cambridge studies in advanced mathematics
161 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra |
| Beschreibung: | 1 Online-Ressource (xi, 325 Seiten) |
| ISBN: | 9781316677216 |
| DOI: | 10.1017/CBO9781316677216 |
Internformat
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| 490 | 0 | |a Cambridge studies in advanced mathematics |v 161 | |
| 520 | |a This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra | ||
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| 650 | 4 | |a Rings (Algebra) / Textbooks | |
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Datensatz im Suchindex
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| author | Webb, Peter 1954- |
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| dewey-ones | 512 - Algebra |
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| dewey-search | 512/.23 |
| dewey-sort | 3512 223 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316677216 |
| format | Electronic eBook |
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| id | DE-604.BV043940116 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:12Z |
| institution | BVB |
| isbn | 9781316677216 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029349086 |
| oclc_num | 967678468 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-Ressource (xi, 325 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge studies in advanced mathematics |
| spelling | Webb, Peter 1954- Verfasser (DE-588)1115010468 aut A course in finite group representation theory Peter Webb, University of Minnesota Cambridge Cambridge University Press 2016 1 Online-Ressource (xi, 325 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge studies in advanced mathematics 161 This graduate-level text provides a thorough grounding in the representation theory of finite groups over fields and rings. The book provides a balanced and comprehensive account of the subject, detailing the methods needed to analyze representations that arise in many areas of mathematics. Key topics include the construction and use of character tables, the role of induction and restriction, projective and simple modules for group algebras, indecomposable representations, Brauer characters, and block theory. This classroom-tested text provides motivation through a large number of worked examples, with exercises at the end of each chapter that test the reader's knowledge, provide further examples and practice, and include results not proven in the text. Prerequisites include a graduate course in abstract algebra, and familiarity with the properties of groups, rings, field extensions, and linear algebra Finite groups / Textbooks Group theory / Textbooks Modules (Algebra) / Textbooks Representations of groups / Textbooks Rings (Algebra) / Textbooks Endliche Gruppe (DE-588)4014651-0 gnd rswk-swf Endliche Gruppe (DE-588)4014651-0 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-107-16239-6 https://doi.org/10.1017/CBO9781316677216 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Webb, Peter 1954- A course in finite group representation theory Finite groups / Textbooks Group theory / Textbooks Modules (Algebra) / Textbooks Representations of groups / Textbooks Rings (Algebra) / Textbooks Endliche Gruppe (DE-588)4014651-0 gnd |
| subject_GND | (DE-588)4014651-0 |
| title | A course in finite group representation theory |
| title_auth | A course in finite group representation theory |
| title_exact_search | A course in finite group representation theory |
| title_full | A course in finite group representation theory Peter Webb, University of Minnesota |
| title_fullStr | A course in finite group representation theory Peter Webb, University of Minnesota |
| title_full_unstemmed | A course in finite group representation theory Peter Webb, University of Minnesota |
| title_short | A course in finite group representation theory |
| title_sort | a course in finite group representation theory |
| topic | Finite groups / Textbooks Group theory / Textbooks Modules (Algebra) / Textbooks Representations of groups / Textbooks Rings (Algebra) / Textbooks Endliche Gruppe (DE-588)4014651-0 gnd |
| topic_facet | Finite groups / Textbooks Group theory / Textbooks Modules (Algebra) / Textbooks Representations of groups / Textbooks Rings (Algebra) / Textbooks Endliche Gruppe |
| url | https://doi.org/10.1017/CBO9781316677216 |
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