2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/79102We give a classification of the principal and distinguished nilpotent pairs in all classical Lie algebras. As a classification of the principal pairs in the exceptional simple Lie algebras was obtained earlier (see Appendix to Ginzburg's preprint math.AG/9903059), we thus have a complete classification of principal nilpotent pairs.22 pages, LaTeX 2.09Representation TheoryAlgebraic Geometrytext