论文标题
绿色等效数学数学
Green equivalences in equivariant mathematics
论文作者
论文摘要
我们在不假设Krull-Schmidt的情况下为所有Mackey 2功能建立了绿色等价。通过遍历Mackey 2函数的示例，我们恢复了表示理论中已知的绿色等效性和绿色对应的所有变体，并在其他几种情况下获得了新的变体。这些应用包括拓扑稳定同义理论，以及几何形状中的模棱两可的滑轮。
We establish Green equivalences for all Mackey 2-functors, without assuming Krull-Schmidt. By running through the examples of Mackey 2-functors, we recover all variants of the Green equivalence and Green correspondence known in representation theory and obtain new ones in several other contexts. Such applications include equivariant stable homotopy theory in topology and equivariant sheaves in geometry.
