{
  "id": "0810.5513",
  "version": "v1",
  "published": "2008-10-30T15:34:33.000Z",
  "updated": "2008-10-30T15:34:33.000Z",
  "title": "Alvis-Curtis duality, central characters, and real-valued characters",
  "authors": [
    "C. Ryan Vinroot"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove that Alvis-Curtis duality preserves the Frobenius-Schur indicators of characters of connected reductive groups of Lie type with connected center. This allows us to extend a result of D. Prasad which relates the Frobenius-Schur indicator of a regular real-valued character to its central character. We apply these results to compute the Frobenius-Schur indicators of certain real-valued, irreducible, Frobenius-invariant Deligne-Lusztig characters, and the Frobenius-Schur indicators of real-valued regular and semisimple characters of finite unitary groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-10-30T15:34:33.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C33",
      "20G05"
    ],
    "keywords": [
      "central character",
      "frobenius-schur indicator",
      "finite unitary groups",
      "alvis-curtis duality preserves",
      "frobenius-invariant deligne-lusztig characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0810.5513V"
    }
  }
}