ENGLISH

Derived Equivalences for Group Rings

By Steffen König , Alexander Zimmermann (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
3540643117, 9783540643111
DOI
10.1007/BFb0096366
ISSN
0075-8434
LCC
QA3 .L28 no. 1685,QA174.2 .L28 no. 1685
Open Library ID
OL358592M
Language
english
Format
DJVU
Filesize
2 MB (1750283 bytes)
Series
Lecture Notes in Mathematics 1685
Edition
1
Pages
246\255
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Group Theory and Generalizations; K-Theory

Description

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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