Representations of vertex operator algebras

@article{Dong2006RepresentationsOV,
  title={Representations of vertex operator algebras},
  author={Chongying Dong and Cuipo Jiang},
  journal={arXiv: Quantum Algebra},
  year={2006}
}
This paper is an exposition of the representation theory of vertex operator algebras in terms of associative algebras A_n(V) and their bimodules. A new result on the rationality is given. That is, a simple vertex operator algebra V is rational if and only if its Zhu algebra A(V) is a semisimple associative algebra and each irreducible admissible $V$-module is ordinary. 
3 Citations

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