论文标题
在有限组表示的滑轮上
On sheaves in finite group representations
论文作者
论文摘要
鉴于一般有限的$ g $，我们考虑了基于它的几个类别，它们的Grothendieck拓扑和由此产生的捆绑类别。对于配备原子拓扑的某些类别的运输车类别及其商，我们通过捆绑明确计算其捆出类别。这使我们能够识别具有各种固定点或骨的$ g $代表。结果，它为轨道类别和小组表示类别的系带类别之间的Artin等价提供了固有的新证明。
Given a general finite group $G$, we consider several categories built on it, their Grothendieck topologies and resulting sheaf categories. For a certain class of transporter categories and their quotients, equipped with atomic topology, we explicitly compute their sheaf categories via sheafification. This enables us to identify $G$-representations with various fixed-point sheaves. As a consequence, it provides an intrinsic new proof to the equivalence of M. Artin between the category of sheaves on the orbit category and that of group representations.
