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arXiv · 2210.08311

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

Paul Balmer·Martin Gallauer
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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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Paul Balmer, Martin Gallauer. 2022-10-15. The tt-geometry of permutation modules. Part I: Stratification. https://arxiv.org/abs/2210.08311

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