2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/60279We provide explicit formulas for the number of ad-nilpotent ideals of a Borel subalgebra of a complex simple Lie algebra having fixed class of nilpotence.43 pages, AmS-TeXRings and AlgebrasCombinatorics17B20 (Primary) 05A15 05A19 05E15 17B30 (Secondary)Enumeration of ad-nilpotent $\frak b$-ideals for simple Lie algebrastext