Representations of vertex operator algebras

Details Representations of vertex operator algebras Representations of vertex operator algebras

2006-03-24

arxiv.org/abs/math/0603588v2

Mathematics

Quantum Algebra

13 pages, final version for publication

Scientific paper

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.

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