THE IRREDUCIBLE MODULES AND FUSION RULES FOR THE PARAFERMION VERTEX OPERATOR ALGEBRAS

被引：30

作者：

Ai, Chunrui ^{[1
,2
]}

Dong, Chongying ^{[3
]}

Jiao, Xiangyu ^{[4
]}

Ren, Li ^{[1
]}

机构：

[1] Sichuan Univ, Sch Math, Chengdu 610064, Sichuan, Peoples R China

[2] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Henan, Peoples R China

[3] Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA

[4] East China Normal Univ, Dept Math, Shanghai 200241, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2018年 / 370卷 / 08期

基金：

上海市自然科学基金; 美国国家科学基金会;

关键词：

QUANTUM DIMENSIONS; TENSOR-PRODUCTS; TRACE FUNCTIONS; CATEGORIES; REPRESENTATIONS; INVARIANCE; EXTENSIONS; REGULARITY; PROPERTY; AFFINE;

D O I：

10.1090/tran/7302

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The irreducible modules for the parafermion vertex operator algebra associated to any finite dimensional Lie algebra g and any positive integer k are classified, the quantum dimensions are computed and the fusion rules are determined.

引用

页码：5963 / 5981

页数：19

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