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 character table of a finite group and that of its "p-local structure". The book is addressed to researchers or graduate students and can serve as material for a seminar. It surveys the current state of the field, and it also provides a "user's guide" to derived equivalences and tilting complexes. Results and proofs are presented in the generality needed for group theoretic applications.
| Autor: | König, Steffen Zimmermann, Alexander |
|---|---|
| ISBN: | 9783540643111 |
| Sprache: | Englisch |
| Seitenzahl: | 246 |
| Produktart: | Kartoniert / Broschiert |
| Verlag: | Springer Berlin |
| Veröffentlicht: | 20.05.1998 |
| Schlagworte: | Equivalence Finite Grad Group rings addition character table derived equivalences and derived categories fundamental theorem proof representation theory |
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