{
  "id": "1002.0829",
  "version": "v2",
  "published": "2010-02-03T20:23:13.000Z",
  "updated": "2011-09-14T17:21:41.000Z",
  "title": "On the support varieties of Demazure modules",
  "authors": [
    "Benjamin F. Jones",
    "Daniel K. Nakano"
  ],
  "comment": "19 pages; revisions were made in response to referee",
  "categories": [
    "math.RT",
    "math.GR"
  ],
  "abstract": "We consider the support varieties of Demazure modules, certain $B$-modules important in the representation theory of reductive groups. In many cases we are able to compute these support varieties over $B_1$, the first Frobenius kernel of a Borel subgroup, and relate them to orbital varieties. We provide a complete calculation of the support varieties when the underlying algebraic group has type $A_1$ or $A_2$. We also consider the saturation ($G$ orbit of) $B_1$ support varieties for Demazure modules and show that the inclusion relations among these varieties are compatible with the Bruhat order.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2011-09-14T17:21:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G10",
      "14M15"
    ],
    "keywords": [
      "support varieties",
      "demazure modules",
      "first frobenius kernel",
      "bruhat order",
      "modules important"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 19,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.0829J"
    }
  }
}