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A generalization of intertwining operators for vertex operator algebras

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Abstract For a vertex operator algebra V, we generalize the notion of an intertwining operator among an arbitrary triple of V-modules to an arbitrary triple of N -graded weak V-modules… Click to show full abstract

Abstract For a vertex operator algebra V, we generalize the notion of an intertwining operator among an arbitrary triple of V-modules to an arbitrary triple of N -graded weak V-modules and study their properties. We show a formula for the dimensions of the spaces of these intertwining operators in terms of modules over the Zhu algebras under some conditions on N -graded weak modules.

Keywords: operators vertex; vertex operator; intertwining operators; generalization intertwining; operator algebras; operator

Journal Title: Journal of Algebra
Year Published: 2017

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