English

Some finiteness properties of regular vertex operator algebras

Quantum Algebra 2007-05-23 v1

Abstract

We give a natural extension of the notion of the contragredient module for a vertex operator algebra. By using this extension we prove that for regular vertex operator algebras, Zhu's C2C_{2}-finiteness condition holds, fusion rules are finite and the vertex operator algebras themselves are finitely generated.

Keywords

Cite

@article{arxiv.math/9807077,
  title  = {Some finiteness properties of regular vertex operator algebras},
  author = {Haisheng Li},
  journal= {arXiv preprint arXiv:math/9807077},
  year   = {2007}
}

Comments

17 pages, Latex; to appear in J. of Alg