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Stratifying integral representations via equivariant homotopy theory (2203.14946v1)
Published 28 Mar 2022 in math.AT and math.RT
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.