Derived equivalences for group rings
Steffen König, Alexander Zimmermann ; with contributions by Bernhard Keller ... [et al.].
Berlin ; New York : Springer-Verlag, ©1998.
x, 246 págs. : ilustraciones ; 24 cm.
Serie: Lecture notes in mathematics, 0075-8434 ; 1685
ISBN: 3540643117 (softcover : alk. paper)
Incluye referencias bibliográficas (p. [233]-243) e índice.
Reseña: MathSciNet, 2000g:16018
Contenido
- Introduction
- Basic definitions and examples
- Rickard's fundamental theorem
- Some modular and local representation theory
- One-sided tilting complexes for group rings.- Tilting with additional structure : Two-sided tilting complexes
- Historical remarks
- Bernhard Keller: On the construction of triangle equivalences
- Jeremy Rickard: Triangulated categories in the modular representation theory of finite groups
- Raphael Rouquier: The derived category of blocks with cyclic defect groups
- Markus Linckelmann: On stable equivalences of Morita type.