On the relations between standard modules and vertex operator algebras (Q1902148)

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scientific article; zbMATH DE number 815928
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On the relations between standard modules and vertex operator algebras
scientific article; zbMATH DE number 815928

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    On the relations between standard modules and vertex operator algebras (English)
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    4 June 1996
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    The author proves the Virasoro relations for higher-level irreducible modules of non-simply-laced affine Lie algebras, through the tensor products of their level-one modules. The results are generalizations of those of \textit{C. Dong} and \textit{J. Lepowsky} [Generalized vertex algebras and relative vertex operators, Chapter 13, Prog. Math. 112, Birkhäuser (1993; Zbl 0803.17009)].
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    standard modules
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    vertex operator algebras
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    Virasoro algebra
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    higher-level irreducible modules
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    non-simply-laced affine Lie algebras
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    tensor products
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