关于跨距和偏集的比较
On the comparison of spans and bisets
摘要：
我们比较了跨度的双范畴与bisets（a.k.a.）。双模、分配器、原函子）。我们特别构造了一个行为良好的伪函子从跨度到bisets。这产生了一个应用程序的公理表示论的有限群，即一个新的证明和加强甘特和Nakaoka的识别的Bouc的范畴的biset函子作为一个反射子范畴的全球麦基函子。为此，我们还证明了线性函子范畴的张量单子性结果。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
