2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/57304With the introduction of special roots, we show the existence of some special weights with quite interesting properties for finite Lie algebras. We propose and discuss two statements which lead us to an explicit construction of these special weights and roots. It is seen that special weights provides us an alternative way of expressing the whole action of Weyl groups.7 pages, Plain TeXMathematical PhysicsHigh Energy Physics - TheoryGroup TheoryRepresentation Theorytext