2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116445We give an elementary combinatorial proof of a special case of a result due to Bazlov and Ion concerning the Fourier coefficients of the Cherednik kernel. This can be used to give yet another proof of the classical fact that for a complex simple Lie algebra, the partition formed by its exponents is dual to that formed by the numbers of positive roots at each height.5 pagesCombinatorics05E15A note on exponents vs root heights for complex simple Lie algebrastext