2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56483We prove that the existence of a homogeneous invariant of degree n for a representation of a semi-simple Lie group guarantees the existence of non-trivial solutions of D_α = 0: these correspond to the maximum value of the square of the invariant divided by the norm of the representation to the n^{th} power.4 pages, latexMathematical Physicstext