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Some Finiteness Properties of Regular Vertex Operator Algebras

✍ Scribed by Haisheng Li

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 134 KB
Volume: 212
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1998.7654

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✦ Synopsis

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 Ž operator algebras, Zhu's C -finiteness condition holds, fusion rules for any three 2 . irreducible modules are finite and the vertex operator algebras themselves are finitely generated.

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