计算对称群的二重群的高阶指标
Computing Higher Indicators for the Double of a Symmetric Group
摘要：
在本文中，我们明确地确定所有指标的Drinfel'd双打的对称群作用于多达10个对象。我们探索不同的字符给出完全相同的指标时，指标有一个零值。我们发现所有的指标都是非负整数，这支持了我们的猜想，即任何对称群的Drinfel'd double的指标都将是非负整数，就像它们对于对称群本身一样。
英文摘要：
In this paper we explicitly determine all indicators for the Drinfel'd doubles of the symmetric group acting upon up to 10 objects. We explore when distinct characters give exactly the same indicators and when the indicators have a zero value. We find that the indicators are all non-negative integers, which supports our conjecture that the indicators for the Drinfel'd double of any symmetric group will be non-negative integers, just as they are for the symmetric groups themselves.
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。
