{
  "id": "2108.03558",
  "version": "v1",
  "published": "2021-08-08T03:06:42.000Z",
  "updated": "2021-08-08T03:06:42.000Z",
  "title": "Acyclic quantum cluster algebras via derived Hall algebras",
  "authors": [
    "Xueqing Chen",
    "Ming Ding",
    "Haicheng Zhang"
  ],
  "comment": "32 pages",
  "categories": [
    "math.RT",
    "math.QA",
    "math.RA"
  ],
  "abstract": "Let $Q$ be a finite acyclic valued quiver. We give the high-dimensional cluster multiplication formulas in the quantum cluster algebra of $Q$ with arbitrary coefficients, by applying certain quotients of derived Hall subalgebras of $Q$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-08-08T03:06:42.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "acyclic quantum cluster algebras",
      "derived hall algebras",
      "high-dimensional cluster multiplication formulas",
      "finite acyclic valued quiver",
      "derived hall subalgebras"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 32,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}