On root multiplicities of some hyperbolic Kac-Moody algebras (Q1372951)

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On root multiplicities of some hyperbolic Kac-Moody algebras
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    On root multiplicities of some hyperbolic Kac-Moody algebras (English)
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    5 April 1998
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    The authors determine level 3 root multiplicities for the hyperbolic Kac-Moody algebras \(E_{10}\) and \(HA_1^{(1)}\). They use Virasoro coset construction techniques and thus present somewhat different formulas to those appearing in earlier work of \textit{S.-J. Kang} [Duke Math. J. 74, 635-666 (1994; Zbl 0823.17031)].
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    hyperbolic Kac-Moody algebras
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    root multiplicities
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    Virasoro coset construction
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