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

被引：6

作者：

Dong, Jingcheng ^{[1
]}

Sun, Hua ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Coll Math & Stat, Nanjing 210044, Peoples R China

[2] Yangzhou Univ, Dept Math, Yangzhou 225002, Jiangsu, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2021年 / 568卷

关键词：

Generalized near-group fusion category; Generalized Tambara-Yamagami fusion category; Group extension; Fibonacci category; EXTENSIONS;

D O I：

10.1016/j.jalgebra.2020.10.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：386 / 407

页数：22

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