Vertex operator algebras and irreducibility of certain modules for affine Lie algebras (Q1382754)
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scientific article; zbMATH DE number 1130620
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Vertex operator algebras and irreducibility of certain modules for affine Lie algebras |
scientific article; zbMATH DE number 1130620 |
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Vertex operator algebras and irreducibility of certain modules for affine Lie algebras (English)
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23 September 1998
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The author gives the irreducible criterion for the tensor of a loop module with a highest-weight module of weight 0 of an affine Lie algebra in terms of the corresponding Zhu's algebra. The result is applied to the case when the weight of the loop modules is a positive integral multiple of the fundamental weight and the level of the highest-weight module is a certain rational number.
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affine Lie algebras
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tensor
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Zhu's algebra
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loop modules
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highest-weight module
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