{
  "id": "0907.4626",
  "version": "v3",
  "published": "2009-07-27T13:35:55.000Z",
  "updated": "2018-11-01T14:23:30.000Z",
  "title": "The second cohomology of simple SL_3-modules",
  "authors": [
    "David I. Stewart"
  ],
  "comment": "19 pages; v3 updated from the published version in Comm. Alg with a small correction to the main result. See within for details",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be the simple, simply connected algebraic group SL_3 defined over an algebraically closed field K of characteristic p>0. In this paper, we find H^2(G,V) for any irreducible G-module V. When p>7 we also find H^2(G(q),V) for any irreducible G(q)-module V for the finite Chevalley groups G(q)=SL(3,q) where q is a power of p.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-04-10T18:53:45.000Z",
      "comment": "19 pages; v2 also contains information for the finite groups SL(3,q); to appear in Comm. Alg",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2018-11-01T14:23:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G10",
      "20G30"
    ],
    "keywords": [
      "second cohomology",
      "finite chevalley groups",
      "simply connected algebraic group",
      "algebraically closed field",
      "characteristic"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.4626S"
    }
  }
}