{
  "id": "math/0611010",
  "version": "v1",
  "published": "2006-11-01T20:04:58.000Z",
  "updated": "2006-11-01T20:04:58.000Z",
  "title": "Gelfand-Graev characters of the finite unitary groups",
  "authors": [
    "Nathaniel Thiem",
    "C. Ryan Vinroot"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Gelfand-Graev characters and their degenerate counterparts have an important role in the representation theory of finite groups of Lie type. Using a characteristic map to translate the character theory of the finite unitary groups into the language of symmetric functions, we study degenerate Gelfand-Graev characters of the finite unitary group from a combinatorial point of view. In particular, we give the values of Gelfand-Graev characters at arbitrary elements, recover the decomposition multiplicities of degenerate Gelfand-Graev characters in terms of tableau combinatorics, and conclude with some multiplicity consequences.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-11-01T20:04:58.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "05E05"
    ],
    "keywords": [
      "finite unitary group",
      "study degenerate gelfand-graev characters",
      "symmetric functions",
      "lie type",
      "characteristic map"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math.....11010T"
    }
  }
}