学术报告

Representation Theory over Near Group Fusion Rings

阅读次数:1057

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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