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, Broue’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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Langue Anglais ● Format PDF ● ISBN 9783540697480 ● Maison d’édition Springer Berlin Heidelberg ● Publié 2006 ● Téléchargeable 3 fois ● Devise EUR ● ID 6319832 ● Protection contre la copie Adobe DRM
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