{
  "id": "math/9909058",
  "version": "v1",
  "published": "1999-09-10T12:19:46.000Z",
  "updated": "1999-09-10T12:19:46.000Z",
  "title": "Geometric Representation Theory of Restricted Lie Algebras of Classical Type",
  "authors": [
    "Ivan Mirkovic",
    "Dmitriy Rumynin"
  ],
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "We modify the Hochschild $\\phi$-map to construct central extensions of a restricted Lie algebra. Such central extension gives rise to a group scheme which leads to a geometric construction of unrestricted representations. For a classical semisimple Lie algebra, we construct equivariant line bundles whose global sections afford representations with a nilpotent p-character.",
  "revisions": [
    {
      "version": "v1",
      "updated": "1999-09-10T12:19:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "restricted lie algebra",
      "geometric representation theory",
      "classical type",
      "construct equivariant line bundles",
      "global sections afford representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1999math......9058M"
    }
  }
}