2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63256In hep-th/0111053, a complete simplicial fan was associated to an arbitrary finite root system. It was conjectured that this fan is the normal fan of a simple convex polytope (a generalized associahedron of the corresponding type). Here we prove this conjecture by explicitly exhibiting a family of such polytopal realizations.25 pagesCombinatoricsQuantum AlgebraRepresentation Theory05E15text