{
  "id": "0811.2766",
  "version": "v1",
  "published": "2008-11-17T18:11:37.000Z",
  "updated": "2008-11-17T18:11:37.000Z",
  "title": "Representations of the general linear groups which are irreducible over subgroups",
  "authors": [
    "Alexander S. Kleshchev",
    "Pham Huu Tiep"
  ],
  "comment": "36 pages. Amer. J. Math., to appear",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We classify all triples $(G,V,H)$ such that $SL_n(q)\\leq G\\leq GL_n(q)$, $V$ is a representation of $G$ of dimension greater than one over an algebraically closed field $\\FF$ of characteristic coprime to $q$, and $H$ is a proper subgroup of $G$ such that the restriction $V\\dar_{H}$ is irreducible. This problem is a natural part of the Aschbacher-Scott program on maximal subgroups of finite classical groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-17T18:11:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20C20",
      "20E28",
      "20G40"
    ],
    "keywords": [
      "general linear groups",
      "representation",
      "irreducible",
      "dimension greater",
      "proper subgroup"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 36,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2766K"
    }
  }
}