Derived Equivalences for Group Rings

von Steffen König, Alexander Zimmermann

246 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• ISBN: 9783540643111
• Sprache: Englisch
• Erscheinungsdatum: 20.05.1998
• Genre: Mathematik/Arithmetik, Algebra
• Verlag: Springer Berlin
• Beiträge von: B. Keller, M. Linckelmann, J. Rickard, R. Rouquier