Derived Equivalences for Group Rings

  • Authors
  • Steffen König
  • Alexander Zimmermann

Part of the Lecture Notes in Mathematics book series (LNM, volume 1685)

Table of contents

  1. Front Matter
    Pages I-X
  2. Alexander Zimmermann
    Pages 1-4
  3. Steffen König
    Pages 5-32
  4. Steffen König
    Pages 33-50
  5. Alexander Zimmermann
    Pages 51-80
  6. Alexander Zimmermann
    Pages 81-104
  7. Alexander zimmermann
    Pages 151-154
  8. Bernhard Keller
    Pages 155-176
  9. Markus Linckelmann
    Pages 221-232
  10. Back Matter
    Pages 233-246

About this book

Introduction

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.

Keywords

Equivalence Finite Grad Group rings addition character table derived equivalences and derived categories fundamental theorem proof representation theory representations theorem

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0096366
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64311-1
  • Online ISBN 978-3-540-69748-0
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book