论文标题

一般近组融合类别的结构,示例和分类

Structure, examples and classification for generalized near-group fusion categories

论文作者

Dong, Jingcheng, Sun, Hua

论文摘要

我们描述了广义的近组融合类别的结构,并提供了此类融合类别的一个例子,该类别源自斐波那契类别的扩展。然后,我们将略微退化的近组融合类别分类。我们还证明了编织的广义tambara-yamagami融合类别的结构结果。

We describe the structure of a generalized near-group fusion category and present an example of this class of fusion categories which arises from the extension of a Fibonacci category. We then classify slightly degenerate generalized near-group fusion categories. We also prove a structure result for braided generalized Tambara-Yamagami fusion categories.

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