2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/96011We prove a conjecture by Kreiman and Lakshmibai on a combinatorial description of multiplicities of points on Schubert varieties in Graszmannians in terms of certain sets of reflections in the corresponding Weyl group. The proof is accomplished by setting up a bijection between these sets of reflections and the author's previous combinatorial interpretation of these multiplicities in terms of nonintersecting lattice paths (Séminaire Lotharingien Combin. 45 (2001), Article B45c; see http://www.mat.univie.ac.at/~slc/wpapers/s45kratt.html or http://www.arxiv.org/abs/math.AG/0011129).11 pages, AmS-TeXAlgebraic GeometryCommutative AlgebraCombinatoricsRings and Algebras14M15 (Primary) 05A15 05E15 14H20 (Secondary)text