{
  "id": "2104.01415",
  "version": "v1",
  "published": "2021-04-03T14:11:31.000Z",
  "updated": "2021-04-03T14:11:31.000Z",
  "title": "Inhomogeneous spin $q$-Whittaker polynomials",
  "authors": [
    "Alexei Borodin",
    "Sergei Korotkikh"
  ],
  "comment": "38 pages",
  "categories": [
    "math.CO",
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "We introduce and study an inhomogeneous generalization of the spin $q$-Whittaker polynomials from [Borodin,Wheeler-17]. These are symmetric polynomials, and we prove a branching rule, skew dual and non-dual Cauchy identities, and an integral representation for them. Our main tool is a novel family of deformed Yang-Baxter equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-03T14:11:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "whittaker polynomials",
      "inhomogeneous spin",
      "non-dual cauchy identities",
      "skew dual",
      "symmetric polynomials"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}