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

被引：29
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：
美国国家科学基金会; 上海市自然科学基金;
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.
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页码：5963 / 5981
页数：19
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