Derived Equivalences for Group Rings
Steffen König, Alexander Zimmermann, "Derived Equivalences for Group Rings"
1998 | pages: 255 | ISBN: 3540643117 | PDF | 9,2 mb
1998 | pages: 255 | ISBN: 3540643117 | PDF | 9,2 mb
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.
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