{
  "id": "1306.4043",
  "version": "v1",
  "published": "2013-06-17T23:49:52.000Z",
  "updated": "2013-06-17T23:49:52.000Z",
  "title": "Diagrams for perverse sheaves on isotropic Grassmannians and the supergroup SOSP(m|2n)",
  "authors": [
    "Michael Ehrig",
    "Catharina Stroppel"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We describe diagrammatically a positively graded Koszul algebra \\mathbb{D}_k such that the category of finite dimensional \\mathbb{D}_k-modules is equivalent to the category of perverse sheaves on the isotropic Grassmannian of type D_k constructible with respect to the Schubert stratification. The connection is given by an explicit isomorphism to the endomorphism algebra of a projective generator described in by Braden. The algebra is obtained by a \"folding\" procedure from the generalized Khovanov arc algebras. We relate this algebra to the category of finite dimensional representations of the orthosymplectic supergroups. The proposed equivalence of categories gives a concrete description of the categories of finite dimensional SOSP(m|2n)-modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-06-17T23:49:52.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "14M15",
      "17B10",
      "17B45",
      "55N91",
      "20C08"
    ],
    "keywords": [
      "perverse sheaves",
      "isotropic grassmannian",
      "supergroup",
      "generalized khovanov arc algebras",
      "finite dimensional representations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1238983,
      "adsabs": "2013arXiv1306.4043E"
    }
  }
}