English

Stratifying integral representations via equivariant homotopy theory

Algebraic Topology 2022-03-31 v1 Representation Theory

Abstract

We prove that the derived category of RR-linear representations of a finite group GG is stratified for any regular commutative ring RR. As an application, we obtain a classification of localizing tensor ideals of ordinary RR-linear GG-representations whose underlying RR-module is projective.

Keywords

Cite

@article{arxiv.2203.14946,
  title  = {Stratifying integral representations via equivariant homotopy theory},
  author = {Tobias Barthel},
  journal= {arXiv preprint arXiv:2203.14946},
  year   = {2022}
}

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R2 v1 2026-06-24T10:28:46.544Z