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.
| ISBN: | 9783540643111 |
| Publication date: | 20th May 1998 |
| Author: | Steffen König, Alexander Zimmermann, Bernhard Keller |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 246 pages |
| Series: | Lecture Notes in Mathematics |
| Genres: |
Groups and group theory Algebraic topology |