TY  - BOOK
AU  - König,Steffen
AU  - Zimmermann,Alexander
ED  - SpringerLink (Online service)
TI  - Derived Equivalences for Group Rings
T2  - Lecture Notes in Mathematics,
SN  - 9783540697480
AV  - QA174-183 
U1  - 512.2 23
PY  - 1998///
CY  - Berlin, Heidelberg
PB  - Springer Berlin Heidelberg
KW  - Mathematics
KW  - Group theory
KW  - K-theory
KW  - Group Theory and Generalizations
KW  - K-Theory
N1  - 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
N2  - 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
UR  - http://dx.doi.org/10.1007/BFb0096366
ER  -