{
  "id": "1705.07233",
  "version": "v1",
  "published": "2017-05-20T00:34:52.000Z",
  "updated": "2017-05-20T00:34:52.000Z",
  "title": "$τ$-tilting modules over one-point extensions by a projective module",
  "authors": [
    "Pamela Suarez"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $A$ be the one point extension of an algebra $B$ by a projective $B$-module. We prove that the extension of a given support $\\tau$-tilting $B$-module is a support $\\tau$-tilting $A$-module; and, conversely, the restriction of a given support $\\tau$-tilting $A$-module is a support $\\tau$-tilting $B$-module. Moreover, we prove that there exists a full embedding of quivers between the corresponding poset of support $\\tau$-tilting modules.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-20T00:34:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilting modules",
      "one-point extensions",
      "projective module",
      "restriction"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}