{
  "id": "math/0202111",
  "version": "v1",
  "published": "2002-02-12T16:21:27.000Z",
  "updated": "2002-02-12T16:21:27.000Z",
  "title": "Homomorphisms of the alternating group A_5 into a reductive group",
  "authors": [
    "G. Lusztig"
  ],
  "comment": "22 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that any two homomorphisms of the alternating group A_5 into E_8 (over the complex numbers) whose images has finite centralizers are conjugate under E_8. This, in conjunction with earlier work of Frey, completes the classification up to G-conjugacy of homomorphisms of A_5 into a simple adjoint algebraic group over the complex numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-02-12T16:21:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "alternating group",
      "reductive group",
      "homomorphisms",
      "complex numbers",
      "simple adjoint algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......2111L"
    }
  }
}