{
  "id": "2207.12667",
  "version": "v1",
  "published": "2022-07-26T06:15:24.000Z",
  "updated": "2022-07-26T06:15:24.000Z",
  "title": "On $τ$-tilting finiteness of block algebras of direct products of finite groups",
  "authors": [
    "Yuta Kozakai"
  ],
  "comment": "7pages",
  "categories": [
    "math.RT",
    "math.RA"
  ],
  "abstract": "We discuss finiteness/infiniteness of $\\tau$-tilting modules over tensor products of two symmetric algebras. As an application, we discuss that over block algebras of direct products of finite groups.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-07-26T06:15:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G20",
      "20C20"
    ],
    "keywords": [
      "finite groups",
      "direct products",
      "block algebras",
      "tilting finiteness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}