Equivariant Morita theory for graded tensor categories

被引：1

作者：

Galindo, Cesar ^{[1
]}

Jaklitsch, David ^{[2
]}

Schweigert, Christoph ^{[2
]}

机构：

[1] Univ Ios Andes, Dept Matemat, Carrera 1 18A-12,Edificio H, Bogota, Colombia

[2] Univ Hamburg, Dept Math, Bundesstr 55, D-20146 Hamburg, Germany

来源：

BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2022年 / 29卷 / 02期

关键词：

graded tensor categories; Morita theory; equivariant Drinfeld center; FUSION CATEGORIES; EXTENSIONS;

D O I：

10.36045/j.bbms.210720

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We extend categorical Morita equivalence to finite tensor categories graded by a finite group G. We show that two such categories are graded Morita equivalent if and only if their equivariant Drinfeld centers are equivalent as braided G-crossed tensor categories.

引用

页码：145 / 171

页数：27

共 25 条

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