论文标题
两色分区的非hyperoctahedral类别,第二部分:所有可能的参数值
Non-Hyperoctahedral Categories of Two-Colored Partitions, Part II: All Possible Parameter Values
论文作者
论文摘要
本文是系列的一部分,其目的是对所有两色分区的所有非毛面类别类别进行分类。这些量子类构成的tannaka-krein类型构成了特定类别量子组的共同代理类别。但是,我们的一系列文章纯粹是组合。在第一部分中,我们介绍了一类参数,这些参数引起了许多新的非二面体类别的分区类别。在本文中,我们表明该类实际包含所有非hyperoctahedral类别的分区类别的所有可能参数值。这是迈向所有非毛刺体类别的分类的重要一步。
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.