{
  "id": "2003.07713",
  "version": "v1",
  "published": "2020-03-17T13:32:39.000Z",
  "updated": "2020-03-17T13:32:39.000Z",
  "title": "Irreducible projective representations of the alternating group which remain irreducible in characteristic 2",
  "authors": [
    "Matthew Fayers"
  ],
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "For any finite group G it is an interesting question to ask which ordinary irreducible representations of G remain irreducible in a given characteristic p. We answer this question for p=2 when G is the proper double cover of the alternating group. As a key ingredient in the proof, we prove a formula for the decomposition numbers in Rouquier blocks of double covers of symmetric groups, in terms of Schur P-functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-17T13:32:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C30",
      "20C25",
      "05E05",
      "05E10"
    ],
    "keywords": [
      "irreducible projective representations",
      "alternating group",
      "remain irreducible",
      "characteristic",
      "ordinary irreducible representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}