{
  "id": "1902.05866",
  "version": "v1",
  "published": "2019-02-13T19:23:21.000Z",
  "updated": "2019-02-13T19:23:21.000Z",
  "title": "$τ$-Tilting Finite Tilted and Cluster-Tilted Algebras",
  "authors": [
    "Stephen Zito"
  ],
  "comment": "9 pages. arXiv admin note: text overlap with arXiv:1608.02418, arXiv:1608.01616; text overlap with arXiv:1410.1732, arXiv:1604.06907 by other authors",
  "categories": [
    "math.RT"
  ],
  "abstract": "Let B be a tilted or cluster-tilted algebra. We prove that B is $\\tau$-tilting finite if and only if B is representation-finite.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-13T19:23:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "16G60",
      "16G70"
    ],
    "keywords": [
      "tilting finite",
      "cluster-tilted algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}