2022Journal of Algebra and Its ApplicationsRequires access

A theory of tensor products of modules for 𝒮-local vertex operator algebra M(n,V )

Fang Du, Hao Wang

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Abstract

In this paper, we introduce the notions of intertwining operator and tensor product for [Formula: see text]-modules, where [Formula: see text] is a vertex operator algebra, and prove that the tensor product is commutative and associative.

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What this paper is about

In this paper, we introduce the notions of intertwining operator and tensor product for [Formula: see text]-modules, where [Formula: see text] is a vertex operator algebra, and prove that the tensor product is commutative and associative.

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Available abstract

In this paper, we introduce the notions of intertwining operator and tensor product for [Formula: see text]-modules, where [Formula: see text] is a vertex operator algebra, and prove that the tensor product is commutative and associative.

Key concepts: Mathematics, Tensor product, Vertex operator algebra, Tensor product of algebras, Tensor product of modules, Vertex (graph theory), Tensor product of Hilbert spaces, Algebra over a field

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