Steffen König,
Alexander Zimmermann
Springer Berlin Heidelberg
1998e druk, 1998
9783540643111
Derived Equivalences for Group Rings
Specificaties
Paperback, 246 blz.
|
Engels
Springer Berlin Heidelberg |
1998e druk, 1998
ISBN13: 9783540643111
Rubricering
Onderdeel van serie
Lecture Notes in Mathematics
Verwachte levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783540643111
Taal:Engels
Bindwijze:paperback
Aantal pagina's:246
Uitgever:Springer Berlin Heidelberg
Druk:1998
Inhoudsopgave
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.