Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4583952 | Journal of Algebra | 2016 | 16 Pages |
Abstract
Inspired by the works of Rickard on splendid equivalences [9] and of Chuang and Rouquier on perverse equivalences [6], we are here interested in the combination of both, i.e. a splendid perverse equivalence. This is naturally the right framework to understand the relations between global and local perverse equivalences between blocks of finite groups, as a splendid equivalence induces local derived equivalences via the Brauer functor. We prove that under certain conditions, we have an equivalence between a perverse equivalence between the homotopy category of p-permutation modules and local derived perverse equivalences, in the case of abelian defect groups.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Léo Dreyfus-Schmidt,