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Bimodules associated to vertex operator superalgebras

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Abstract

Let V be a vertex operator superalgebra and m, n ∈ 1/2 ℤ+. 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 bimodules

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Correspondence to CuiBo Jiang.

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This work was supported by the National Natural Science Foundation of China (Grant Nos. 10571119, 10671027)

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Jiang, W., Jiang, C. Bimodules associated to vertex operator superalgebras. Sci. China Ser. A-Math. 51, 1705–1725 (2008). https://doi.org/10.1007/s11425-008-0067-2

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  • DOI: https://doi.org/10.1007/s11425-008-0067-2

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