Bimodules and $g$-rationality of vertex operator algebras

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Bimodules associated to vertex operator algebras

Let V be a vertex operator algebra and m,n ≥ 0. We construct an An(V )Am(V )-bimodule An,m(V ) which determines the action of V from the level m subspace to level n subspace of an admissible V -module. We show how to use An,m(V ) to construct naturally admissible V -modules from Am(V )-modules. We also determine the structure of An,m(V ) when V is rational. 2000MSC:17B69

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ژورنال

عنوان ژورنال: Transactions of the American Mathematical Society

سال: 2008

ISSN: 0002-9947

DOI: 10.1090/s0002-9947-08-04430-9