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Derived Equivalences for Group Rings (Paperback, 1998 ed.)
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Derived Equivalences for Group Rings (Paperback, 1998 ed.)
Series: Lecture Notes in Mathematics, 1685
Expected to ship within 10 - 15 working days
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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, Brou '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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