{
  "id": "0809.4785",
  "version": "v1",
  "published": "2008-09-27T16:42:18.000Z",
  "updated": "2008-09-27T16:42:18.000Z",
  "title": "Equivariant Sheaves on Flag Varieties",
  "authors": [
    "Olaf M. Schnürer"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We show that the Borel-equivariant derived category of sheaves on the flag variety of a complex reductive group is equivalent to the perfect derived category of dg modules over the extension algebra of the direct sum of the simple equivariant perverse sheaves. This proves a conjecture of Soergel and Lunts in the case of flag varieties.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-09-27T16:42:18.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "14M15",
      "18E30"
    ],
    "keywords": [
      "flag variety",
      "equivariant sheaves",
      "simple equivariant perverse sheaves",
      "borel-equivariant derived category",
      "extension algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0809.4785S"
    }
  }
}