{
  "id": "1410.3754",
  "version": "v1",
  "published": "2014-10-14T16:21:46.000Z",
  "updated": "2014-10-14T16:21:46.000Z",
  "title": "Decomposition matrices for exceptional groups at d=4",
  "authors": [
    "Olivier Dudas",
    "Gunter Malle"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We determine the decomposition matrices of unipotent $\\ell$-blocks of defect $\\Phi_4^2$ for exceptional groups of Lie type up to a few unknowns. For this we employ the new cohomological methods of the first author, together with properties of generalized Gelfand-Graev characters which were recently shown to hold whenever the underlying characteristic is good.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-10-14T16:21:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20C33",
      "20G05"
    ],
    "keywords": [
      "exceptional groups",
      "decomposition matrices",
      "lie type",
      "first author",
      "generalized gelfand-graev characters"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1410.3754D"
    }
  }
}