Representations of vertex operator algebras
Abstract
This paper is an exposition of the representation theory of vertex operator algebras in terms of associative algebras An(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.
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