{
  "id": "0904.2487",
  "version": "v1",
  "published": "2009-04-16T13:59:26.000Z",
  "updated": "2009-04-16T13:59:26.000Z",
  "title": "Generalized exponents of small representations. II",
  "authors": [
    "Bogdan Ion"
  ],
  "comment": "70 pg",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "This is the second paper in a sequence devoted to giving manifestly non-negative formulas for generalized exponents of small representations in all types. It contains a first formula for generalized exponents of small weights which extends the Shapiro-Steinberg formula for classical exponents. The formula is made possible by a computation of Fourier coefficients of the degenerate Cherednik kernel. Unlike the usual partition function coefficients, the answer reflects only the combinatorics of minimal expressions as a sum of roots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-16T13:59:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B10"
    ],
    "keywords": [
      "generalized exponents",
      "small representations",
      "usual partition function coefficients",
      "degenerate cherednik kernel",
      "minimal expressions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2487I"
    }
  }
}