{
  "id": "math/0311258",
  "version": "v1",
  "published": "2003-11-17T20:30:07.000Z",
  "updated": "2003-11-17T20:30:07.000Z",
  "title": "The Cherednik kernel and generalized exponents",
  "authors": [
    "Bogdan Ion"
  ],
  "comment": "22 pg",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "We show how the knowledge of the Fourier coefficients of the Cherednik kernel leads to combinatorial formulas for generalized exponents. We recover known formulas for generalized exponents of irreducible representations parameterized by dominant roots, and obtain new formulas for the generalized exponents for irreducible representations parameterized by the dominant elements of the root lattice which are sums of two orthogonal short roots.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-11-17T20:30:07.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "generalized exponents",
      "cherednik kernel",
      "irreducible representations",
      "orthogonal short roots",
      "combinatorial formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math.....11258I"
    }
  }
}