2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/53562We provide a proof of a formula conjectured in \cite{OU93} for some coefficients relevant in the principal vertex operator construction of a simply-laced affine algebra $\gh$. These coefficients are important for the study of the topological charges of the solitons of affine Toda theories, and the construction of representations of non-simply-laced $\gh$ and their associated Toda solitons.6 pages, Imperial/TP/92-93/38High Energy Physics - Theorytext