{
  "id": "math/0206264",
  "version": "v1",
  "published": "2002-06-25T13:07:12.000Z",
  "updated": "2002-06-25T13:07:12.000Z",
  "title": "On the Bernstein-Gel'fand-Gel'fand correspondence and a result of Eisenbud, Fløystad, and Schreyer",
  "authors": [
    "Iustin Coanda"
  ],
  "comment": "11 pages",
  "journal": "J. Math. Kyoto Univ. 43-2 (2003), 429-439",
  "categories": [
    "math.AG",
    "math.CT"
  ],
  "abstract": "We show that a combination between a remark from the well known note of I.N. Bernstein, I.M. Gel'fand and S.I. Gel'fand and the idea, systematically investigated in a recent work of D. Eisenbud, G. Fl{\\o}ystad and F.-O. Schreyer, of taking Tate resolution over exterior algebras leads to quick proofs of the main results of these two papers. This combination is expressed by a lemma which we prove directly using the cohomology of invertible sheaves on a projective space.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-06-25T13:07:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14F05",
      "18G10"
    ],
    "keywords": [
      "bernstein-gelfand-gelfand correspondence",
      "tate resolution",
      "main results",
      "exterior algebras",
      "quick proofs"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......6264C"
    }
  }
}