2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/66793We count the number of strictly positive $B$-stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any $B$-stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also compute the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.We correct the lemmas in Section 3 in the earlier versionRepresentation TheoryCombinatoricstext