MODULE CATEGORIES OVER EQUIVARIANTIZED TENSOR CATEGORIES

被引：3

作者：

Mombelli, Martin ^{[1
]}

Natale, Sonia ^{[1
]}

机构：

[1] Natl Univ Cordoba, Fac Matemat Astron & Fis, CIEM, CONICET, Medina Allende S-N, RA-5000 Cordoba, Argentina

来源：

MOSCOW MATHEMATICAL JOURNAL | 2017年 / 17卷 / 01期

关键词：

Tensor category; module category; Hopf monad; HOPF-ALGEBRAS; FUSION CATEGORIES; EXACT SEQUENCES; INVARIANTS; BIMODULES; MONADS;

D O I：

10.17323/1609-4514-2017-17-1-97-128

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For a finite tensor category C and a Hopf monad T: C -> C satisfying certain conditions we describe exact indecomposable left C-T-module categories in terms of left C-module categories and some extra data. We also give a 2-categorical interpretation of the process of equivariantization of module categories.

引用

页码：97 / 128

页数：32

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