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Hom Functor and the Associativity of Tensor Products of Modules for Vertex Operator Algebras

✍ Scribed by Chongying Dong; Haisheng Li; Geoffrey Mason

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 404 KB
Volume: 188
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6862

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✦ Synopsis

We give a new and shorter proof of the associativity of tensor product for modules for rational vertex operator algebras under certain convergence conditions.

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The vertex operator algebra M 1 + is the fixed point set of free bosonic vertex operator algebra M 1 of rank l under the -1 automorphism. All irreducible modules for M 1 + are classified in this paper for any l.