Stratifying integral representations via equivariant homotopy theory

Tobias Barthel

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arXiv · 2203.14946

Stratifying integral representations via equivariant homotopy theory

Tobias Barthel

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Abstract

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

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Tobias Barthel. 2022-03-28. Stratifying integral representations via equivariant homotopy theory. https://arxiv.org/abs/2203.14946

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