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Some finiteness properties of regular vertex operator algebras

Haisheng Li
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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 $C_{2}$-finiteness condition holds, fusion rules are finite and the vertex operator algebras themselves are finitely generated.

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Haisheng Li. 1998-07-15. Some finiteness properties of regular vertex operator algebras. https://arxiv.org/abs/math/9807077

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