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math.RT2026
Permutation, stabilization and decomposition
Paul Balmer, Martin Gallauer
Informed by our understanding of the tt-geometry of permutation modules, we investigate the proper definition of the `stable permutation category' of a finite group. Then we prove…
math.RT2025
The geometry of permutation modules
Paul Balmer, Martin Gallauer
We consider the derived category of permutation modules for a finite group, in positive characteristic. We stratify this tensor triangulated category using Brauer quotients. We des…
math.RT2025
The tt-geometry of permutation modules. Part I: Stratification
Paul Balmer, Martin Gallauer
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 de…