Synopsis
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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Derived Equivalences for Group Rings
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Derived Equivalences for Group Rings (Lecture Notes in Mathematics, 1685)
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Derived equivalences for group rings / Steffen König ; Alexander Zimmermann. With contributions by Bernhard Keller . / Lecture notes in mathematics ; Vol. 1685
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Derived Equivalences for Group Rings (Lecture Notes in Mathematics, 1685)
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Derived equivalences for group rings. Lecture Notes in Mathematics; 1685.
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Berlin, Springer-Verlag, 1998
ISBN 10: 3540643117
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Derived Equivalences for Group Rings
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 260 pp. Englisch. Seller Inventory # 9783540643111
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Derived Equivalences for Group Rings (Lecture Notes in Mathematics)
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