Bimodules associated to vertex operator superalgebras  

作　　者：JIANG Wei JIANG CuiBo 

机构地区：[1]Department of Mathematics,Shanghai Jiaotong University,Shanghai 200240,China [2]Department of Mathematics,Changshu Institute of Technology,Changshu 215500,China

出　　处：《Science China Mathematics》2008年第9期1705-1725,共21页中国科学：数学（英文版）

基　　金：supported by the National Natural Science Foundation of China (Grant Nos. 10571119, 10671027)

摘　　要：Let V be a vertex operator superalgebra and m, n ∈ 1/2 ?+. We construct an A n (V)-A m (V)-bimodule A n,m (V) which characterizes the action of V from the level m subspace to level n subspace of an admissible V-module. We also construct the Verma type admissible V-module from an A m (V)-module by using bimodulesLet V be a vertex operator superalgebra and m,n ∈ 21Z+. We construct an An(V ) -Am(V )-bimodule An,m(V ) which characterizes the action of V from the level m subspace to level n subspace of an admissible V -module. We also construct the Verma type admissible V -module from an Am(V )-module by using

关 键 词：vertex operator algebra admissible module vertex operator superalgebra associative algebra BIMODULE 17B69 

分 类 号：O177[理学—数学]