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Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\) - MaRDI portal

Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\) (Q1320139)

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scientific article; zbMATH DE number 554135
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Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\)
scientific article; zbMATH DE number 554135

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    Root multiplicities of the hyperbolic Kac-Moody Lie algebra \(HA_ 1^{(1)}\) (English)
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    4 January 1996
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    The author computes root multiplicities (up to level 5) of \(HA_1^{(1)}\), the hyperbolic Kac-Moody Lie algebra. The computation is done using crystal bases of irreducible representations of the quantized affine Lie algebra.
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    root multiplicities
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    hyperbolic Kac-Moody Lie algebra
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    crystal bases
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