Let V be a vertex operator superalgebra and m, n ∈ 1/2 ℤ+. 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 bimodules
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UC Santa Cruz, Dept Math, Santa Cruz, CA 95064 USAUC Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
Dong, Chongying
Han, Jianzhi
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Chinese Acad Sci, Wu Wen Tsun Key Lab Math, USTC, Hefei 230026, Peoples R China
Sichuan Univ, Dept Math, Chengdu 610064, Peoples R ChinaUC Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
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Univ Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USAUniv Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
Dong, Chongying
Xu, Feng
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Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China
Univ Calif Riverside, Dept Math, Riverside, CA 92521 USAUniv Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA
Xu, Feng
Yu, Nina
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Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R ChinaUniv Calif Santa Cruz, Dept Math, Santa Cruz, CA 95064 USA