{
  "id": "1810.01034",
  "version": "v1",
  "published": "2018-10-02T01:52:31.000Z",
  "updated": "2018-10-02T01:52:31.000Z",
  "title": "On the Betti numbers of Springer fibers for classical types",
  "authors": [
    "Dongkwan Kim"
  ],
  "comment": "24 pages",
  "categories": [
    "math.RT",
    "math.AG"
  ],
  "abstract": "For a Weyl group $W$ of classical type, we present a formula to calculate the restriction of (graded) Springer representations of $W$ to a maximal parabolic subgroup $W'$ where the types of $W$ and $W'$ are in the same series. As a result, we obtain recursive formulas for the Betti numbers of Springer fibers for classical types.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-02T01:52:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "classical type",
      "springer fibers",
      "betti numbers",
      "maximal parabolic subgroup",
      "weyl group"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 24,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}