Equivalences between blocks of p-local Mackey algebras.
Résumé
There is a bijection between the blocks of a group algebra RG and the central primitive idempotents of the so called p-local Mackey algebra (resp. cohomological Mackey algebra). These idempotents are called blocks. In this paper we look at equivalences between these blocks. The main result is about cohomological Mackey algebras: we prove that a splendid derived equivalence between blocks of group algebras can be lifted to an equivalence between the corresponding cohomological blocks.
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