彩色圆的测量
Measures for the colored circle
摘要：
在最近的工作与哈曼，我们介绍了一个新的概念的措施，为寡纯群，并表明他们如何可以用来产生有趣的张量范畴。在我们看来，确定一个寡纯群的测度是一个重要而困难的组合问题，它只在少数情况下得到了解决。本文的目的是对某个无穷族的寡纯群，即$n$ -着色圈的自同构群（对每一个$n \ge 1$），解决这个问题。
英文摘要：
In recent work with Harman, we introduced a new notion of measure for oligomorphic groups, and showed how they can be used to produce interesting tensor categories. Determining the measures for an oligomorphic group is (in our view) an important and difficult combinatorial problem, which has only been solved in a handful of cases. The purpose of this paper is to solve this problem for a certain infinite family of oligomorphic groups, namely, the automorphism group of the $n$-colored circle (for each $n \ge 1$).
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。
