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

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arxiv 2210.08311 v2 pith:KWLIGSQ4 submitted 2022-10-15 math.RT math.CT

Paul Balmer , Martin Gallauer This is my paper · ORCID
classification math.RTmath.CT
keywords categorymodulespermutationbrauercharacteristiccompactconsiderderived
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Modular fixed points in equivariant homotopy theory

    math.AT 2025-06 conditional novelty 8.0 of 10

    The derived ∞-category of permutation modules is equivalent to modules over the Eilenberg-MacLane spectrum of the constant Mackey functor, and the equivariant modular fixed point functor recovers Balmer-Gallauer's, gi...

  2. Cohen's theorem in tensor triangular geometry

    math.CT 2025-05 conditional novelty 6.0 of 10

    For essentially small tensor triangulated categories with weakly Noetherian spectrum, every radical ideal is finitely generated if and only if the Balmer spectrum is finite.

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