\(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras (Q1975151)

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scientific article; zbMATH DE number 1428243
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English
\(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras
scientific article; zbMATH DE number 1428243

    Statements

    \(\mathbb{Z}_2 \times \mathbb{Z}_2\) codes and vertex operator algebras (English)
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    24 October 2001
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    The authors construct certain vertex operator algebras using codes in \(\mathbb{Z}_2\times\mathbb{Z}_2\) (that is subgroups of \((\mathbb{Z}_2\times\mathbb{Z}_2)^m\) for some \(m\)), describe their irreducible modules, and compute the fusion rules.
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    vertex operator algebra
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    irreducible module
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    Fock space
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    Virasoro algebra
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