论文标题
通过均等同义理论对整体表示进行分层
Stratifying integral representations via equivariant homotopy theory
论文作者
论文摘要
我们证明,有限组$ g $的$ r $ - 线性表示的派生类别是针对任何常规的交换戒指$ r $分层的。作为一个应用程序,我们获得了定位的张量理想的分类,其基础$ r $ $模子是投影的普通$ r $ linear $ g $ - 代表。
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.