{
  "id": "2205.15487",
  "version": "v1",
  "published": "2022-05-31T00:49:35.000Z",
  "updated": "2022-05-31T00:49:35.000Z",
  "title": "Multi-layer quivers and higher slice algebras",
  "authors": [
    "Jin Yun Guo",
    "Yanping Hu",
    "Deren Luo"
  ],
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "In this paper, we introduce multi-layer quiver and show how to construct an $(n+1)$-slice algebras of infinite type from an $n$-slice algebra of infinite type using the bound quivers. This leads to constructing $(n+1)$-slice algebras of infinite type as matrix algebra and as tensor algebra of an $n$-slice algebra and equivalences of their module categories as the module categories of diagram of some quiver of type $\\widetilde{A}_{n+1}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-05-31T00:49:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "16G70",
      "16S37"
    ],
    "keywords": [
      "higher slice algebras",
      "multi-layer quiver",
      "infinite type",
      "module categories",
      "matrix algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}