{
  "id": "1308.1724",
  "version": "v1",
  "published": "2013-08-08T00:54:32.000Z",
  "updated": "2013-08-08T00:54:32.000Z",
  "title": "A generalization of Kostant theorem to integral cohomology",
  "authors": [
    "Qibing Zheng"
  ],
  "comment": "22 pages",
  "categories": [
    "math.AT",
    "math.RT"
  ],
  "abstract": "In this paper, we find weight decomposition and rank of a weight in the integral (co)homology of the positive system of a semi-simple Lie algebra over $\\Bbb C$ and prove that the (co)homology of the weight subcomplex over a field of characteristic p is 0 if the rank of the weight is not divisible by p. This generalizes Kostant theorem to the integral cohomology of the positive system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-08-08T00:54:32.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "integral cohomology",
      "generalization",
      "generalizes kostant theorem",
      "semi-simple lie algebra",
      "positive system"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1308.1724Z"
    }
  }
}