Bimodules associated to vertex operator algebras

2006/01/25 by Dong, Chongying, Jiang, Cuipo · 3 citations
#17B69 #FOS: Mathematics #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.math/0601626

Abstract

Let V be a vertex operator algebra and m,n be nonnegative integers. We construct an A_n(V)-A_m(V)-bimodule A_n,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 A_n,m(V) to construct naturally admissible V-modules from A_m(V)-modules. We also determine the structure of A_n,m(V) when V is rational.

Cited by

• Twisted bimodules and associative algebras associated to VOAs
• Twisted ϕ-coordinated modules for vertex algebras and Zhu's correspondence theorem
• Cofiniteness for Twisted Fusion Products in Vertex Operator Algebra Theory

Related

• Representations of vertex operator algebras and bimodules
• Bimodules and g-rationality of vertex operator algebras
• The regular representations and the A_n(V) algebras
• Representations of vertex operator algebras
• Vertex operator algebras and associative algebras