{
  "id": "math/0112285",
  "version": "v1",
  "published": "2001-12-27T17:53:24.000Z",
  "updated": "2001-12-27T17:53:24.000Z",
  "title": "On multiplicities of points on Schubert varieties in Graszmannians II",
  "authors": [
    "Christian Krattenthaler"
  ],
  "comment": "11 pages, AmS-TeX",
  "journal": "J. Algebraic Combin. 22 (2005), 273-288.",
  "categories": [
    "math.AG",
    "math.AC",
    "math.CO",
    "math.RA"
  ],
  "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 (S\\'eminaire 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).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2001-12-27T17:53:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "05A15",
      "05E15",
      "14H20"
    ],
    "keywords": [
      "schubert varieties",
      "multiplicities",
      "graszmannians",
      "seminaire lotharingien combin",
      "reflections"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "AMS-TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....12285K"
    }
  }
}