paper

Representations of vertex operator algebras

arXiv:math/0603588

Abstract

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 -module is ordinary.

13 pages, final version for publication

Representations of vertex operator algebras · wovepaper