论文标题
组理论图类别
Group-theoretical graph categories
论文作者
论文摘要
可以通过所谓的分区理论类别来描述有限生成的组对称组的半程产物(仅涵盖一种特殊情况;由于Raum-Weber-Weber,2015年)和分区的偏斜类别(更一般的跨度;由于Maassen,2018年,因此。我们将这些结果推广到图形类别的情况下,该结果允许通过某些图的自动形态替换对称组。
The semidirect product of a finitely generated group dual with the symmetric group can be described through so-called group-theoretical categories of partitions (covers only a special case; due to Raum--Weber, 2015) and skew categories of partitions (more general; due to Maassen, 2018). We generalize these results to the case of graph categories, which allows to replace the symmetric group by the group of automorphisms of some graph.