2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/67915Let X=G/P be a homogeneous space of a complex semisimple Lie group G equipped with a hermitian metric. We study the action of the Hodge star operator on the space of harmonic differential forms on X. We obtain explicit combinatorial formulas for this action when X is an irreducible hermitian symmetric space of compact type.15 pages, LaTeX, 4 figuresAlgebraic GeometryDifferential Geometry57T15 (primary) 05E15, 14M15, 32M10 (Secondary)text