Classification of pointed fusion categories of dimension p3 up to weak Morita Equivalence

被引：1
|
作者：
Maya, Kevin [1 ]
Mejia Castano, Adriana [1 ]
Uribe, Bernardo [1 ]
机构：
[1] Univ Norte, Dept Matemat & Estadist, Km 5 Via Antigua Puerto Colombia, Barranquilla, Colombia
来源：
JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2021年 / 20卷 / 01期
关键词：
Tensor category; pointed fusion category; weak Morita equivalence;
D O I：
10.1142/S0219498821400089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give a complete classification of pointed fusion categories over C of global dimension p3 for p any odd prime. We proceed to classify the equivalence classes of pointed fusion categories of dimension p3 and we determine which of these equivalence classes have equivalent categories of modules.
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页数：23
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