Permutation orbifolds and associative algebras

作     者：Chongying Dong Feng Xu Nina Yu Chongying Dong;Feng Xu;Nina Yu

作者机构：Department of MathematicsUniversity of California at Santa CruzSanta CruzCA 95064USA Department of MathematicsHuzhou UniversityHuzhou 313000China Department of MathematicsUniversity of California at RiversideRiversideCA 92521USA School of Mathematical SciencesXiamen UniversityXiamen 361005China 

出 版 物：《Science China Mathematics》 (中国科学：数学（英文版）)

年 卷 期：2022年第65卷第2期

页      面：259-268页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by National Natural Science Foundation of China(Grant Nos.11871351 11871150 and 11971396) 

主　　题：vertex operator algebra permutation orbifold Zhu algebra 

摘      要：Let V be a vertex operator algebra and g =(1 2 ··· k) be a k-cycle which is viewed as an automorphism of the vertex operator algebra V?k. It is proved that Dong-Li-Mason’s associated associative algebra Ag(V?k) is isomorphic to Zhu’s algebra A(V) explicitly. This result recovers a previous result that there is a one-to-one correspondence between irreducible g-twisted V?k-modules and irreducible V-modules.