Permutation orbifolds and associative algebras  

作　　者：Chongying Dong Feng Xu Nina Yu 

机构地区：[1]Department of Mathematics,University of California at Santa Cruz,Santa Cruz,CA 95064,USA [2]Department of Mathematics,Huzhou University,Huzhou 313000,China [3]Department of Mathematics,University of California at Riverside,Riverside,CA 92521,USA [4]School of Mathematical Sciences,Xiamen University,Xiamen 361005,China

出　　处：《Science China Mathematics》2022年第2期259-268,共10页中国科学：数学（英文版）

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

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.

关 键 词：vertex operator algebra permutation orbifold Zhu algebra 

分 类 号：O15[理学—数学]