论文标题
在比较跨度和两种
On the comparison of spans and bisets
论文作者
论文摘要
我们将跨度的跨度（又称双模型，分销商，分配器）的生物比较。我们尤其是从跨度到两个跨度的伪造构建。这将适用于有限群体的公理表示理论，即对Ganter和Nakaoka对BOUC的BISET BISET函数类别的识别作为全球Mackey函子的反射子类别的识别。为此，我们还证明了线性函子类别的张量 - 单位性结果。
We compare the bicategory of spans with that of bisets (a.k.a. bimodules, distributors, profunctors) in the context of finite groupoids. We construct in particular a well-behaved pseudo-functor from spans to bisets. This yields an application to the axiomatic representation theory of finite groups, namely a new proof and a strengthening of Ganter and Nakaoka's identification of Bouc's category of biset functors as a reflective subcategory of global Mackey functors. To this end, we also prove a tensor-monadicity result for linear functor categories.
