Derived Equivalences for Group Rings (Lecture Notes in Mathematics, 1685),Used

Derived Equivalences for Group Rings (Lecture Notes in Mathematics, 1685),Used

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SKU: SONG3540643117
Brand: Springer
Condition: Used
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A selfcontained 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 pmodular character table of a finite group and that of its 'plocal 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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