{
  "id": "0809.0982",
  "version": "v1",
  "published": "2008-09-05T09:04:48.000Z",
  "updated": "2008-09-05T09:04:48.000Z",
  "title": "Rational representations of $GL_2$",
  "authors": [
    "Vanessa Miemietz",
    "Will Turner"
  ],
  "comment": "27 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $F$ be an algebraically closed field of characteristic $p$. We fashion an infinite dimensional basic algebra $\\underleftarrow{\\mathcal{C}}_p(F)$, with a transparent combinatorial structure, which we expect to control the rational representation theory of $GL_2(F)$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-05T09:04:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "infinite dimensional basic algebra",
      "rational representation theory",
      "transparent combinatorial structure",
      "algebraically closed field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.0982M"
    }
  }
}