Derived Equivalences for Group Rings (Lecture Notes in Mathematics, #1685)

by Steffen Koenig and Alexander Zimmermann

B. Keller, M. Linckelmann, J. Rickard, and R. Rouquier

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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, 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.
  • ISBN13 9783540643111
  • Publish Date 20 May 1998
  • Publish Status Active
  • Publish Country DE
  • Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
  • Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K
  • Edition 1998 ed.
  • Format Paperback
  • Pages 246
  • Language English