{
  "id": "0904.3957",
  "version": "v2",
  "published": "2009-04-25T03:21:36.000Z",
  "updated": "2010-03-18T15:11:44.000Z",
  "title": "The nullcone in the multi-vector representation of the symplectic group and related combinatorics",
  "authors": [
    "Sangjib Kim"
  ],
  "comment": "21 pages, v2: title changed, typos and errors corrected",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We study the nullcone in the multi-vector representation of the symplectic group with respect to a joint action of the general linear group and the symplectic group. By extracting an algebra over a distributive lattice structure from the coordinate ring of the nullcone, we describe a toric degeneration and standard monomial theory of the nullcone in terms of double tableaux and integral points in a convex polyhedral cone.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-03-18T15:11:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05",
      "05E15"
    ],
    "keywords": [
      "symplectic group",
      "multi-vector representation",
      "related combinatorics",
      "convex polyhedral cone",
      "general linear group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.3957K"
    }
  }
}