{
  "id": "1303.3780",
  "version": "v2",
  "published": "2013-03-15T14:10:38.000Z",
  "updated": "2015-10-26T13:07:13.000Z",
  "title": "Demazure descent and representations of reductive groups",
  "authors": [
    "Sergey Arkhipov",
    "Tina Kanstrup"
  ],
  "comment": "9 pages. Changes suggested by the referee",
  "journal": "Hindawi Algebra, Volume 2014 (2014), Article ID 823467",
  "categories": [
    "math.RT"
  ],
  "abstract": "We introduce the notion of Demazure descent data on a triangulated category C and define the descent category for such data. We illustrate the definition by our basic example. Let G be a reductive algebraic group with a Borel subgroup B. Demazure functors form Demazure descent data on the derived category of Rep(B) and the descent category is equivalent to the derived category of Rep(G).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-15T14:10:38.000Z",
      "comment": "9 pages",
      "journal": null,
      "doi": null
    },
    {
      "version": "v2",
      "updated": "2015-10-26T13:07:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "17B55",
      "20G05"
    ],
    "keywords": [
      "reductive groups",
      "demazure functors form demazure descent",
      "functors form demazure descent data",
      "descent category",
      "representations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.3780A"
    }
  }
}