Abstract
We construct derived equivalences between group graded symmetric algebras, starting from equivalences between their $1$-components obtained via a construction of J. Rickard. This applies to the verification of various cases of Broué's abelian defect group conjecture.
Citation
Andrei Marcus. "Tilting complexes for group graded algebras, II." Osaka J. Math. 42 (2) 453 - 462, June 2005.
Information
Published: June 2005
First available in Project Euclid: 21 July 2006
zbMATH: 1087.20010
MathSciNet: MR2147726
Rights: Copyright © 2005 Osaka University and Osaka City University, Departments of Mathematics