The tt-geometry of permutation modules. Part I: Stratification

Published 15 Oct 2022 in math.RT and math.CT | (2210.08311v1)

Abstract: We consider the derived category of permutation modules over a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We describe the set underlying the tt-spectrum of compact objects, and discuss several examples.

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