Derived Equivalences for Group Rings
A self-contained introduction is given to J. Rickard's Morita theory for derived module categories and its recent applications in representation theory of finite groups. In particular, Broué's conjecture is discussed, giving a structural explanation for relations between the p-modular char...
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| Auteurs principaux: | , , , , , |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1685 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Derived equivalences for group rings, Steffen König, Alexander Zimmermann, Berlin, Springer-Verlag, 1998, 1 vol. (X-246 p.), Lecture notes in mathematics, 3-540-64311-7 • Derived Equivalences for Group Rings, Texte imprimé, 9783662193112 |
Indholdsfortegnelse:
- Basic definitions and some examples
- Rickard's fundamental theorem
- Some modular and local representation theory
- Onesided tilting complexes for group rings
- Tilting with additional structure: twosided tilting complexes
- Historical remarks
- On the construction of triangle equivalences
- Triangulated categories in the modular representation theory of finite groups
- The derived category of blocks with cyclic defect groups
- On stable equivalences of Morita type.