2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/136466We present a formula for the degree of the discriminant of irreducible representations of a Lie group, in terms of the roots of the group and the highest weight of the representation. The proof uses equivariant cohomology techniques, namely, the theory of Thom polynomials, and a new method for their computation. We study the combinatorics of our formulas in various special cases.Algebraic GeometryRepresentation Theory14N10, 14L30, 55N91text