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arxiv: hep-th/9612210 · v1 · submitted 1996-12-20 · ✦ hep-th · math.QA· q-alg

On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

classification ✦ hep-th math.QAq-alg
keywords hyperbolicalgebraskac-moodymultiplicitiesrootsomebasiccompute
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Using the coset construction, we compute the root multiplicities at level three for some hyperbolic Kac-Moody algebras including the basic hyperbolic extension of $A_1^{(1)}$ and $E_{10}$.

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