{
  "id": "1705.06517",
  "version": "v1",
  "published": "2017-05-18T10:58:30.000Z",
  "updated": "2017-05-18T10:58:30.000Z",
  "title": "A conjectural identity for certain parabolic Kazhdan--Lusztig polynomials",
  "authors": [
    "Erez Lapid"
  ],
  "categories": [
    "math.CO",
    "math.RT"
  ],
  "abstract": "Irreducibility results for parabolic induction of representations of the general linear group over a local non-archimedean field can be formulated in terms of Kazhdan--Lusztig polynomials of type $A_n$. Spurred by these results, we hypothesize a simple identity for certain alternating sums of $2^n$ Kazhdan-Lusztig polynomials with respect to $S_{2n}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-18T10:58:30.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "parabolic kazhdan-lusztig polynomials",
      "conjectural identity",
      "local non-archimedean field",
      "general linear group",
      "simple identity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}