{
  "id": "1605.05400",
  "version": "v1",
  "published": "2016-05-17T23:59:33.000Z",
  "updated": "2016-05-17T23:59:33.000Z",
  "title": "Whittaker functions on metaplectic covers of GL(r)",
  "authors": [
    "Anna Puskás"
  ],
  "comment": "50 pages, 8 figures",
  "categories": [
    "math.NT",
    "math.RT"
  ],
  "abstract": "This paper establishes a combinatorial link between different approaches to constructing Whittaker functions on a metaplectic group over a non-archimedean local field. We prove a metaplectic analogue of Tokuyama's Theorem and give a crystal description of polynomials related to Iwahori-Whittaker functions. The proof relies on formulas of metaplectic Demazure and Demazure-Lusztig operators, proved previously in joint work with Gautam Chinta and Paul E. Gunnells.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-17T23:59:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E50",
      "11F68",
      "05E10"
    ],
    "keywords": [
      "metaplectic covers",
      "non-archimedean local field",
      "tokuyamas theorem",
      "constructing whittaker functions",
      "combinatorial link"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 50,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}