Modular categories are not determined by their modular data

被引：15

作者：

Mignard, Michael ^{[1
]}

Schauenburg, Peter ^{[1
]}

机构：

[1] Univ Bourgogne Franche Comte, CNRS, UMR 5584, Inst Math Bourgogne, F-21000 Dijon, France

来源：

LETTERS IN MATHEMATICAL PHYSICS | 2021年 / 111卷 / 03期

关键词：

18D10; 16T05; 20C15;

D O I：

10.1007/s11005-021-01395-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Arbitrarily many pairwise inequivalent modular categories can share the same modular data. We exhibit a family of examples that are module categories over twisted Drinfeld doubles of finite groups, and thus in particular integral modular categories.

引用

页数：9

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