{
  "id": "1008.2194",
  "version": "v1",
  "published": "2010-08-12T19:28:41.000Z",
  "updated": "2010-08-12T19:28:41.000Z",
  "title": "Strong sign-coherency of certain symmetric polynomials, with application to cluster algebras",
  "authors": [
    "Kyungyong Lee"
  ],
  "comment": "8 pages, Comments are welcome",
  "categories": [
    "math.CO"
  ],
  "abstract": "For each positive integer n, we define a polynomial in the variables z_1,...,z_n with coefficients in the ring $\\mathbb{Q}[q,t,r]$ of polynomial functions of three parameters q, t, r. These polynomials naturally arise in the context of cluster algebras. We conjecture that they are symmetric polynomials in z_1,...,z_n, and that their expansions in terms of monomial, Schur, complete homogeneous, elementary and power sum symmetric polynomials are sign-coherent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-08-12T19:28:41.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cluster algebras",
      "strong sign-coherency",
      "power sum symmetric polynomials",
      "application",
      "polynomial functions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1008.2194L"
    }
  }
}