{
  "id": "1810.03297",
  "version": "v1",
  "published": "2018-10-08T07:55:45.000Z",
  "updated": "2018-10-08T07:55:45.000Z",
  "title": "On parabolic restriction of perverse sheaves",
  "authors": [
    "Roman Bezrukavnikov",
    "Alexander Yom Din"
  ],
  "comment": "Comments are welcome",
  "categories": [
    "math.RT"
  ],
  "abstract": "We prove exactness of parabolic restriction and induction functors for conjugation equivariant sheaves on a reductive group generalizing a well known result of Lusztig who established this property for character sheaves. We propose a conjectural (but known for character sheaves) t-exactness property of the Harish-Chandra transform and provide an evidence for that conjecture. We also present two applications generalizing some results of Gabber and Loeser on perverse sheaves on an algebraic torus to an arbitrary reductive group.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-08T07:55:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "perverse sheaves",
      "parabolic restriction",
      "character sheaves",
      "conjugation equivariant sheaves",
      "t-exactness property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}