On Root Multiplicities of Some Hyperbolic Kac-Moody Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LaTeX

Scientific paper

10.1023/A:1007317602691

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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