Some finiteness properties of regular vertex operator algebras

Details Some finiteness properties of regular vertex operator algebras Some finiteness properties of regular vertex operator algebras

1998-07-15

arxiv.org/abs/math/9807077v1

Mathematics

Quantum Algebra

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

Scientific paper

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.

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