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Derived Equivalences for Group Rings

Derived Equivalences for Group Rings

Paperback

Series: Lecture Notes in Mathematics, Book 1685

AlgebraGeneral Mathematics

ISBN10: 3540643117
ISBN13: 9783540643111
Publisher: Springer
Published: May 20 1998
Pages: 246
Weight: 0.81
Height: 0.55 Width: 6.14 Depth: 9.21
Language: English
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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