The tt-geometry of permutation modules. Part I: Stratification
Representation Theory
2025-07-22 v2 Category Theory
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.
Cite
@article{arxiv.2210.08311,
title = {The tt-geometry of permutation modules. Part I: Stratification},
author = {Paul Balmer and Martin Gallauer},
journal= {arXiv preprint arXiv:2210.08311},
year = {2025}
}
Comments
This paper has been merged into arXiv:2307.04398