{
  "id": "2102.01278",
  "version": "v1",
  "published": "2021-02-02T03:34:47.000Z",
  "updated": "2021-02-02T03:34:47.000Z",
  "title": "Kazhdan-Lusztig polynomials for $\\tilde{B}_2$",
  "authors": [
    "Karina Batistelli",
    "Aram Bingham",
    "David Plaza"
  ],
  "comment": "Comments welcome",
  "categories": [
    "math.RT",
    "math.CO"
  ],
  "abstract": "Kazhdan and Lusztig define, for an arbitrary Coxeter system $(W,S)$, a family of polynomials indexed by pairs of elements of $W$. Despite their relevance and elementary definition, the explicit computation of these polynomials is still one of the hardest open problems in algebraic combinatorics. In this paper we explicitly compute Kazhdan-Lusztig polynomials for a Coxeter system of type $\\tilde{B}_2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-02-02T03:34:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "kazhdan-lusztig polynomials",
      "arbitrary coxeter system",
      "hardest open problems",
      "lusztig define",
      "algebraic combinatorics"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}