Morita equivalence methods in classification of fusion categories

被引：8

作者：

Nikshych, Dmitri ^{[1
]}

机构：

[1] Univ New Hampshire, Dept Math & Stat, Durham, NH 03824 USA

来源：

HOPF ALGEBRAS AND TENSOR CATEGORIES | 2013年 / 585卷

关键词：

HOPF-ALGEBRAS; MODULE CATEGORIES; TENSOR CATEGORIES; SUBFACTORS;

D O I：

10.1090/conm/585/11607

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe an approach to classification of fusion categories in terms of Morita equivalence, This is usually achieved by analyzing Drinfeld centers of fusion categories and finding Tannakian subcategories therein.

引用

页码：289 / 325

页数：37

共 43 条

[1] RATIONALITY IN CONFORMAL FIELD-THEORY [J].

ANDERSON, G ;

MOORE, G .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1988, 117 (03) :441-450

[2] On module categories over finite-dimensional Hopf algebras [J].

Andruskiewitsch, Nicolas ;

Mombelli, Juan Martin .

JOURNAL OF ALGEBRA, 2007, 314 (01) :383-418

[3]

Bakalov B., 2001, LECT TENSOR CATEGORI

[4]

Bruguières A, 2000, MATH ANN, V316, P215, DOI 10.1007/s002080050011

[5] REMARKS ON GALOIS SYMMETRY IN RATIONAL CONFORMAL FIELD-THEORIES [J].

COSTE, A ;

GANNON, T .

PHYSICS LETTERS B, 1994, 323 (3-4) :316-321

[6] MARKOV TRACES AND II1-FACTORS IN CONFORMAL FIELD-THEORY [J].

DEBOER, J ;

GOEREE, J .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1991, 139 (02) :267-304

[7]

Deligne P., 1990, Birkhauser, V87, P111, DOI [10.1007/978-0-8176-4575-53, 10, DOI 10.1007/978-0-8176-4575-53]

[8]

Dong C., 2012, ARXIV12016644V4

[9]

Drinfeld V., 2007, ARXIV07040195V2

[10] On braided fusion categories I [J].

Drinfeld, Vladimir ;

Gelaki, Shlomo ;

Nikshych, Dmitri ;

Ostrik, Victor .

SELECTA MATHEMATICA-NEW SERIES, 2010, 16 (01) :1-119

← 1 2 3 4 5 →