{
  "id": "1106.5411",
  "version": "v3",
  "published": "2011-06-27T15:01:34.000Z",
  "updated": "2014-07-09T11:19:21.000Z",
  "title": "Koszul dual 2-functors and extension algebras of simple modules for $GL_2$",
  "authors": [
    "Vanessa Miemietz",
    "Will Turner"
  ],
  "comment": "39 pages, title changed in second version, to appear in Selecta Math. (N.S.)",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let p be a prime number. We compute the Yoneda extension algebra of $GL_2$ over an algebraically closed field of characteristic p by developing a theory of Koszul duality for a certain class of 2-functors, one of which controls the category of rational representations of $GL_2$ over such a field.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2014-07-09T11:19:21.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "simple modules",
      "yoneda extension algebra",
      "koszul duality",
      "prime number",
      "rational representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 39,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1106.5411M"
    }
  }
}