On root multiplicities of some hyperbolic Kac-Moody algebras

Michel Bauer (1) , Denis Bernard (1)

1 SPhT - Service de Physique Théorique

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 $E_{10}$.

Domaines: Algèbres quantiques [math.QA]; Physique des Hautes Energies - Théorie [hep-th]

Michel Bauer, Denis Bernard. On root multiplicities of some hyperbolic Kac-Moody algebras. Letters in Mathematical Physics, 1997, 42, pp.153-166. ⟨10.1023/A:1007317602691⟩. ⟨hal-00288005⟩