2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/156566In this note we show the n-2-dimensional volumes of codimension 2 faces of an n-dimensional simplex are algebraically independent functions of the lengths of edges. In order to prove this we compute the complete spectrum of a combinatorially interesting graph.5 pagesMetric GeometryRepresentation Theory52C25; 20C99text