Representations of finite groups : local cohomology and support
The seminar focuses on a recent solution, by the authors, of a long standing problem concerning the stable module category (of not necessarily finite dimensional representations) of a finite group. The proof draws on ideas from commutative algebra, cohomology of groups, and stable homotopy theory. T...
保存先:
| 主要な著者: | , , |
|---|---|
| フォーマット: | Livre numérique |
| 言語: | Anglais |
| 出版事項: |
Basel :
Springer Basel
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| シリーズ: | Oberwolfach Seminars
43 |
| 主題: | |
| オンライン･アクセス: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 注記: |
Ce volume est basé sur les cours présentés au Oberwolfach seminar du 23 au 29 mai 2010 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Representations of finite groups, local cohomology and support, David J. Benson, Srikanth Iyengar, Henning Krause, Basel, Birkhäuser, [Springer], 2012, 1 vol. (VI-105 p.), Oberwolfach seminars, 978-3-03-480259-8 |
目次:
- Preface 1 Monday 1.1 Overview 1.2 Modules over group algebras 1.3 Triangulated categories 1.4 Exercises 2 Tuesday 2.1 Perfect complexes over commutative rings 2.2 Brown representability and localization 2.3 The stable module category of a finite group 2.4 Exercises 3 Wednesday 3.1 3.2 Koszul objects and support 3.3 The homotopy category of injectives 3.4 Exercises 4 Thursday 4.1 Stratifying triangulated categories 4.2 Consequences of stratification 4.3 The Klein four group 4.4 Exercises 5 Friday 5.1 Localising subcategories of D(A) 5.2 Elementary abelian 2-groups 5.3 Stratification for arbitrary finite groups 5.4 Exercises A Support for modules over commutative rings Bibliography Index.
- Contient des exercices