{
  "id": "0705.4362",
  "version": "v1",
  "published": "2007-05-30T09:35:31.000Z",
  "updated": "2007-05-30T09:35:31.000Z",
  "title": "Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation",
  "authors": [
    "Lev Sakhnovich"
  ],
  "journal": "Cent. Eur. J. Math. 6 (2008) 179-187",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group $S_{n}$. We assume that parameter $\\rho=\\pm{1}$. In previous paper we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2007-05-30T09:35:31.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M05",
      "34M55",
      "47B38"
    ],
    "keywords": [
      "explicit rational solutions",
      "knizhnik-zamolodchikov equation",
      "linear differential equations",
      "knizhnik-zamolodchikov system",
      "rational functions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2007arXiv0705.4362S"
    }
  }
}