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Derived Equivalences for Group Rings by Steffen König, B. Keller, Alexander Zimmermann

Derived Equivalences for Group Rings

by Steffen König , B. Keller , Alexander Zimmermann
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Book cover type: Paperback
  • ISBN13: 9783540643111
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Springer
  • Publisher Imprint: Springer
  • Publication Date:
  • Pages: 246
  • Original Price: USD 54.99
  • Language: English
  • Edition: 1998
  • Item Weight: 368 grams
  • BISAC Subject(s): Group Theory

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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