论文标题
以当地条件为特征
Quivers and path semigroups characterized by locality conditions
论文作者
论文摘要
最近引入了局部性半群的概念，并从凸几何和量子场理论中的位置动机引入。我们表明，局部性集和颤动之间存在自然的对应关系，这导致了由Quivers路径给出的一类局部性半群。此外，这些路径的路径半群正是具有刚性条件的局部半群类别中的自由对象。这种表征赋予了路径代数的通用特性，同时赋予了自由刚性局部性半群的组合实现。
The notion of locality semigroups was recently introduced with motivation from locality in convex geometry and quantum field theory. We show that there is a natural correspondence between locality sets and quivers which leads to a concrete class of locality semigroups given by the paths of quivers. Further these path semigroups from paths are precisely the free objects in the category of locality semigroups with a rigid condition. This characterization gives a universal property of path algebras and at the same time a combinatorial realization of free rigid locality semigroups.
