{
  "id": "0903.1043",
  "version": "v2",
  "published": "2009-03-05T17:25:15.000Z",
  "updated": "2009-03-06T14:31:28.000Z",
  "title": "Duality between GL(n,R) and the degenerate affine Hecke algebra for gl(n)",
  "authors": [
    "Dan Ciubotaru",
    "Peter E. Trapa"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We define an exact functor $F_{n,k}$ from the category of Harish-Chandra modules for $GL(n,R)$ to the category of finite-dimensional representations for the degenerate affine Hecke algebra for $gl(k)$. Under certain natural hypotheses, we prove that the functor maps standard modules to standard modules (or zero) and irreducibles to irreducibles (or zero).",
  "revisions": [
    {
      "version": "v2",
      "updated": "2009-03-06T14:31:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "degenerate affine hecke algebra",
      "functor maps standard modules",
      "irreducibles",
      "exact functor",
      "finite-dimensional representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0903.1043C"
    }
  }
}