{
  "id": "math/0111184",
  "version": "v2",
  "published": "2001-11-16T04:13:09.000Z",
  "updated": "2002-02-06T03:51:22.000Z",
  "title": "Two-row nilpotent orbits of cyclic quivers",
  "authors": [
    "Anthony Henderson"
  ],
  "comment": "Revised version, clarified in various places. 17 pages, LaTeX and Pstricks",
  "journal": "Mathematische Zeitschrift 243 (2003), 127-143",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that the local intersection cohomology of nilpotent orbit closures of cyclic quivers is trivial when the two orbits involved correspond to partitions with at most two rows. This gives a geometric proof of a result of Graham and Lehrer, which states that standard modules of the affine Hecke algebra of $GL_d$ corresponding to nilpotents with at most two Jordan blocks are multiplicity-free.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2002-02-06T03:51:22.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "two-row nilpotent orbits",
      "cyclic quivers",
      "affine hecke algebra",
      "local intersection cohomology",
      "nilpotent orbit closures"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2001math.....11184H"
    }
  }
}