On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

Denis Bernard; Michel Bauer

On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

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arxiv hep-th/9612210 v1 pith:VUB6SK5T submitted 1996-12-20 hep-th math.QAq-alg

Michel Bauer , Denis Bernard This is my paper

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keywords hyperbolicalgebraskac-moodymultiplicitiesrootsomebasiccompute

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abstract

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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From Tensor Algebras to Hyperbolic Kac-Moody Algebras
hep-th 2025-08 conditional novelty 6.0 of 10

Simultaneous mutually commuting coset Virasoro actions are realized on the tensor algebra of the Feingold-Frenkel algebra, giving explicit decompositions and tensor ground states up to level five.

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