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On multiplicities of points on Schubert varieties in Graszmannians II

Christian Krattenthaler
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Abstract

We 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).

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Christian Krattenthaler. 2001-12-27. On multiplicities of points on Schubert varieties in Graszmannians II. https://arxiv.org/abs/math/0112285

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