The pandemic fusion system for endomorphism algebras of p-permutation modules

Abstract

During the 1980's Puig developed a new approach to modular representation theory, introducing new p-local invariants and thereby extending Green's work on G-algebras. We investigate the Puig category, commenting on its local structure and then introduce a new notion, namely pandemic fusion, which extends the Puig's axioms globally on the G-algebra. Finally we give a sketch of the proof on the existence of some p-permutation FG-module realizing the minimal pandemic fusion system.