{
  "id": "1409.1367",
  "version": "v1",
  "published": "2014-09-04T08:55:09.000Z",
  "updated": "2014-09-04T08:55:09.000Z",
  "title": "Ladder representations of GL(n,Q_p)",
  "authors": [
    "Dan Barbasch",
    "Dan Ciubotaru"
  ],
  "comment": "14 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "In this paper, we recover certain known results about the ladder representations of GL(n, Q_p) defined and studied by Lapid, Minguez, and Tadic. We work in the equivalent setting of graded Hecke algebra modules. Using the Arakawa-Suzuki functor from category O to graded Hecke algebra modules, we show that the determinantal formula proved by Lapid-Minguez and Tadic is a direct consequence of the BGG resolution of finite dimensional simple gl(n)-modules. We make a connection between the semisimplicity of Hecke algebra modules, unitarity with respect to a certain hermitian form, and ladder representations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-09-04T08:55:09.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ladder representations",
      "graded hecke algebra modules",
      "finite dimensional simple gl",
      "hermitian form",
      "determinantal formula"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1409.1367B"
    }
  }
}