2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/179401We consider a natural generalisation of the class of hyperbolic Kac-Moody algebras. We describe in detail the conditions under which these algebras are Lorentzian. We also construct their fundamental weights, and analyse whether they possess a real principal so(1,2) subalgebra. Our class of algebras include the Lorentzian Kac-Moody algebras that have recently been proposed as symmetries of M-theory and the closed bosonic string.40 pages TeX, 5 eps-figuresHigh Energy Physics - Theorytext