Representations of vertex operator algebras
Quantum Algebra
2007-05-23 v2 Representation Theory
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.
Cite
@article{arxiv.math/0603588,
title = {Representations of vertex operator algebras},
author = {Chongying Dong and Cuipo Jiang},
journal= {arXiv preprint arXiv:math/0603588},
year = {2007}
}
Comments
13 pages, final version for publication