题目：Representation Theory over Near Group Fusion Rings

报告人：李立斌 教授 （扬州大学）

时间：2018年12月14日 15：30-16:20

地点：致远楼108室

摘要：In the theory of tensor categories, especially the theory of fusion categories, the near group categories are an important class of fusion categories.The $/mathbb{Z}_+$-representations over near group fusion rings are closely related to the module categories over near group categories. In this talk we shall introduce a general theory of irreducible $/mathbb{Z_+}$-representations over near group fusion rings. We give the minimum upper the bound of rank of irreducible$/mathbb{Z_+}$-representation over a near group fusion ring, and the general classification methods of irreducible $/mathbb{Z_+}$-representations over near group fusion rings. We give explicitly the classifications of irreducible $/mathbb{Z_+}$-representations over some near group fusion rings, such as $K(/mathbb{Z}_2, n)$, $K(/mathbb{Z}_3, n)$, $K(/mathbb{K}_4, n)$ and $K(/mathbb{S}_3, n)$.

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