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Derived Equivalences for Group Rings
- Editore:
Springer Berlin Heidelberg
- Collana:
- Lecture Notes In Mathematics
- EAN:
9783540643111
- ISBN:
3540643117
- Pagine:
- 260
- Formato:
- Paperback
- Lingua:
- Tedesco
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Descrizione Derived Equivalences for Group Rings
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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