论文标题
粘合紧凑型矩阵量子组
Gluing compact matrix quantum groups
论文作者
论文摘要
我们研究了带有环状基团的紧凑型基质量子组的胶合张量和免费产物 - 所谓的张量和游离络合物。我们通过研究其表示类别和代数关系来表征它们。此外，我们从易于量子组到任意紧凑的矩阵量子组的全局色和交替着色的概念概括。这些概念与张量和自由络合程序密切相关。最后，我们还研究了更一般的粘合和脱粘程序。
We study glued tensor and free products of compact matrix quantum groups with cyclic groups -- so-called tensor and free complexifications. We characterize them by studying their representation categories and algebraic relations. In addition, we generalize the concepts of global colourization and alternating colourings from easy quantum groups to arbitrary compact matrix quantum groups. Those concepts are closely related to tensor and free complexification procedures. Finally, we also study a more general procedure of gluing and ungluing.
