Overview

"This text presents a self-contained introduction to J. Rickard's Morita theory for derived module categories and its applications in representation theory of finite groups. In particular, Brou'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."

Full Product Details

Author:   Steffen König ,  B. Keller ,  Alexander Zimmermann ,  M. Linckelmann
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   1998 ed.
Volume:   1685
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.820kg
ISBN:  

9783540643111

ISBN 10:   3540643117
Pages:   246
Publication Date:   20 May 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

Basic definitions and some examples.- Rickard's fundamental theorem.- Some modular and local representation theory.- Onesided tilting complexes for group rings.- Tilting with additional structure: twosided tilting complexes.- Historical remarks.- On the construction of triangle equivalences.- Triangulated categories in the modular representation theory of finite groups.- The derived category of blocks with cyclic defect groups.- On stable equivalences of Morita type.

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