Hom functor and the associativity of tensor products of modules for vertex operator algebras

1996/03/29 by Chongying Dong, Haisheng Li, Dong, Chongying +3
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Quantum Algebra (math.QA)

paper · pdf · doi:10.48550/arxiv.q-alg/9603029

openalex publication_date 1996/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a new, construction-free proof of the associativity of tensor product for modules for rational vertex operator algebras under certain convergence conditions.

Citations

• Current algebra and Wess-Zumino model in two dimensions
• Local systems of vertex operators, vertex superalgebras and modules
• Representation theory and tensor product theory for vertex operator algebras

Related

• A theory of tensor products for vertex operator algebra satsifying C₂-cofiniteness
• Representation theory and tensor product theory for vertex operator algebras
• Tensor products of modules for a vertex operator algebra and vertex tensor categories
• Tensor product of modules over a vertex algebra
• Logarithmic tensor category theory, VII: Convergence and extension properties and applications to expansion for intertwining maps