Fock representations of the affine Lie algebra \(A_ 1^{(1)}\) (Q1072628)
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scientific article; zbMATH DE number 3941758
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fock representations of the affine Lie algebra \(A_ 1^{(1)}\) |
scientific article; zbMATH DE number 3941758 |
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Fock representations of the affine Lie algebra \(A_ 1^{(1)}\) (English)
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1986
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It is shown that the affine Lie algebra \(A_ 1^{(1)}\) has a family of Fock representations depending on 2 complex parameters. By the highest weight, the parameter space forms a double cover of the weight space with singularities at linear forms of level -2. Almost all irreducible non- integrable representations of the algebra are realized on the Fock space.
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character formula
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affine Lie algebra \(A_ 1^{(1)}\)
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Fock representations
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highest weight
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irreducible non-integrable representations
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Fock space
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