{
  "id": "1706.07574",
  "version": "v1",
  "published": "2017-06-23T06:37:11.000Z",
  "updated": "2017-06-23T06:37:11.000Z",
  "title": "Elliptic quantum groups and Baxter relations",
  "authors": [
    "Huafeng Zhang"
  ],
  "comment": "35 pages",
  "categories": [
    "math-ph",
    "math.MP",
    "math.QA",
    "math.RT"
  ],
  "abstract": "We introduce a category O of modules over the elliptic quantum group of sl_N with well-behaved q-character theory. We construct asymptotic modules as analytic continuation of a family of finite-dimensional modules, the Kirillov--Reshetikhin modules. In the Grothendieck ring of this category we prove two types of identities: generalized Baxter relations in the spirit of Frenkel--Hernandez between finite-dimensional modules and asymptotic modules; three-term Baxter TQ relations of infinite-dimensional modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-23T06:37:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "elliptic quantum group",
      "baxter relations",
      "three-term baxter tq relations",
      "construct asymptotic modules",
      "well-behaved q-character theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 35,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}