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derived equivalences for group rings (in English)
König,Zimmermann (Author)
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derived equivalences for group rings (in English) - könig,zimmermann
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Synopsis "derived equivalences for group rings (in English)"
a self-contained introduction is given to j. rickards morita theory for derived module categories and its recent applications in representation theory of finite groups. in particular, broués 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 users guide to derived equivalences and tilting complexes. results and proofs are presented in the generality needed for group theoretic applications.
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The book is written in English.
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