Derived Equivalences for Group Rings

By Steffen Konig and Steffen König

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, Brou?'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.

• Format: Paperback
• Language: English
• ISBN: 3540643117
• ISBN13: 9783540643111
• Release Date: October 1998
• Publisher: Springer
• Length: 246 Pages
• Weight: 0.81 lbs.
• Dimensions: 0.6" x 6.1" x 9.2"