In 2015, Raum and Weber gave a definition of group-theoretical quantum groups, a class of compact matrix quantum groups with a certain presentation as semi-direct product quantum groups, and studied the case of easy quantum groups. In this article we determine the intertwiner spaces of non-easy group-theoretical quantum groups. We generalise group-theoretical categories of partitions and use a fiber functor to map partitions to linear maps which is slightly different from the one for easy quantum groups.We show that this construction provides the intertwiner spaces of group-theoretical quantum groups in general.

中文翻译：

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非易群理论量子群的交织空间

2015年，Raum和Weber给出了基团理论量子组的定义，一类具有一定表示形式的紧凑矩阵量子组为半直接乘积量子组，并研究了易量子组的情况。在本文中，我们确定了非易基理论量子群的交织空间。我们归纳了群理论的分区类别，并使用光纤函子将分区映射到线性图，这与简单量子组的映射略有不同。我们证明了这种构造通常提供了群理论量子组的交织空间。