{
  "id": "2202.06938",
  "version": "v1",
  "published": "2022-02-14T18:54:03.000Z",
  "updated": "2022-02-14T18:54:03.000Z",
  "title": "Equivariant Kazhdan-Lusztig theory of paving matroids",
  "authors": [
    "Trevor Karn",
    "George Nasr",
    "Nicholas Proudfoot",
    "Lorenzo Vecchi"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We study the way in which equivariant Kazhdan-Lusztig polynomials, equivariant inverse Kazhdan-Lusztig polynomials, and equivariant Z-polynomials of matroids change under the operation of relaxation of a collection of stressed hyperplanes. This allows us to compute these polynomials for arbitrary paving matroids, which we do in a number of examples, including various matroids associated with Steiner systems that admit actions of Mathieu groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-02-14T18:54:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05B35",
      "20C34"
    ],
    "keywords": [
      "equivariant kazhdan-lusztig theory",
      "equivariant inverse kazhdan-lusztig polynomials",
      "equivariant kazhdan-lusztig polynomials",
      "mathieu groups",
      "equivariant z-polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}