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arXiv 2003.00569math.COmath.QA
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双色分拆的非超八面体范畴,第II部分:所有可能的参数值

Non-Hyperoctahedral Categories of Two-Colored Partitions, Part II: All Possible Parameter Values

Alexander Mang, Moritz Weber

摘要:

这篇文章是一个系列文章的一部分,目的是对双色划分的所有非超八面体范畴进行分类。由某些Tannaka-Krein型构成的量子群,得到了一类特定量子群的余表示范畴。然而,我们的系列文章是纯粹的组合。在第一部分中,我们介绍了一类参数,这引起了许多新的非超八面体类别的分区。在本文中,我们表明,这个类实际上包含所有可能的参数值的所有非超八面体类别的分区。这是对所有非超八面体类别进行分类的重要一步。

英文摘要:

This article is part of a series with the aim of classifying all non-hyperoctahedral categories of two-colored partitions. Those constitute by some Tannaka-Krein type result the co-representation categories of a specific class of quantum groups. However, our series of articles is purely combinatorial. In Part I we introduced a class of parameters which gave rise to many new non-hyperoctahedral categories of partitions. In the present article we show that this class actually contains all possible parameter values of all non-hyperoctahedral categories of partitions. This is an important step towards the classification of all non-hyperoctahedral 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。

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