Some finiteness properties of regular vertex operator algebras
Abstract
Description
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 $C_{2}$-finiteness condition holds, fusion rules are finite and the vertex operator algebras themselves are finitely generated.
17 pages, Latex; to appear in J. of Alg
17 pages, Latex; to appear in J. of Alg