{
  "id": "1201.2734",
  "version": "v3",
  "published": "2012-01-13T02:49:32.000Z",
  "updated": "2012-09-26T01:55:36.000Z",
  "title": "Support Varieties for Frobenius Kernels of Classical Groups",
  "authors": [
    "Paul Sobaje"
  ],
  "comment": "12 pages, final version",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let G be a simple classical algebraic group over an algebraically closed field of positive characteristic. We describe the support variety of a simple G-module over the r-th Frobenius kernel of G, in terms of its calculation over the first Frobenius kernel. We then use this result to compute the block varieties of the Frobenius kernels of G.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-09-26T01:55:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "support variety",
      "classical groups",
      "first frobenius kernel",
      "r-th frobenius kernel",
      "simple classical algebraic group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1201.2734S"
    }
  }
}