Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146121We show that the rank 10 hyperbolic Kac-Moody algebra $E_{10}$ contains every simply laced hyperbolic Kac-Moody algebra as a Lie subalgebra. Our method is based on an extension of earlier work of Feingold and Nicolai.10 pages. to appear in Letters in Mathematical PhysicsQuantum AlgebraMathematical Physics17B67Embeddings of hyperbolic Kac-Moody algebras into $\mathbf{E_{10}}$}text