{
  "id": "1511.04111",
  "version": "v1",
  "published": "2015-11-12T22:11:37.000Z",
  "updated": "2015-11-12T22:11:37.000Z",
  "title": "Diagrammatic description for the categories of perverse sheaves on isotropic Grassmannians",
  "authors": [
    "Michael Ehrig",
    "Catharina Stroppel"
  ],
  "comment": "This is an extended and generalized version of the first part of the previous paper entitled \"Diagrams for perverse sheaves on isotropic Grassmannians and the supergroup SOSP(m|2n).\", see arXiv:1306.4043 It also contains an an extra examples section",
  "categories": [
    "math.RT",
    "math.GT"
  ],
  "abstract": "For each integer $k\\geq 4$ 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 ${\\rm D}_k$ or ${\\rm B}_{k-1}$, constructible with respect to the Schubert stratification. The algebra is obtained by a (non-trivial) ``folding'' procedure from a generalized Khovanov arc algebra. Properties like graded cellularity and explicit closed formulas for graded decomposition numbers are established by elementary tools.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-12T22:11:37.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05E10",
      "14M15",
      "17B10",
      "17B45",
      "55N91",
      "20C08"
    ],
    "keywords": [
      "perverse sheaves",
      "isotropic grassmannian",
      "diagrammatic description",
      "generalized khovanov arc algebra",
      "schubert stratification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv151104111E"
    }
  }
}