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

Bibliographic Information

Book Title: Derived Equivalences for Group Rings
Authors: Steffen König, Alexander Zimmermann
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/BFb0096366
Publisher: Springer Berlin, Heidelberg
eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 1998
Softcover ISBN: 978-3-540-64311-1Published: 20 May 1998
eBook ISBN: 978-3-540-69748-0Published: 14 November 2006
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: X, 246
Topics: Group Theory and Generalizations, K-Theory

Publish with us

Policies and ethics

Authors:

Sections

Buy it now

Buying options

Other ways to access

Table of contents (11 chapters)

Front Matter

Back Matter

About this book