2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/63039Let G be a complex semisimple Lie group. The aim of this article is to compare two basis for G-modules, namely the standard monomial basis and the dual canonical basis. In particular, we give a sufficient condition for a standard monomial to be an element of the dual canonical basis and vice versa.20 pagesRepresentation TheoryAdapted algebras and standard monomialstext