Lecture Notes in Mathematics

König, Steffen; Keller, B.; Zimmermann, Alexander; Linckelmann, M.; Rickard, J.; Rouquier, R.

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.

Details

Published by: Springer

Publication Date: 1998-05-20

Format: Paperback

ISBN-13: 9783540643111

DOI: 10.1007/BFb0096366

Dimensions: 235cm x155cm

Pages: 246