{
  "id": "1705.06980",
  "version": "v1",
  "published": "2017-05-19T13:23:52.000Z",
  "updated": "2017-05-19T13:23:52.000Z",
  "title": "On Certain Tilting Modules for SL2",
  "authors": [
    "Samuel Martin"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We give a complete picture of when the tensor product of an induced module and a Weyl module is a tilting module for the algebraic group $SL_2$ over an algebraically closed field of characteristic $p$. Whilst the result is recursive by nature, we give an explicit statement in terms of the $p$-adic expansions of the highest weight of each module.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-05-19T13:23:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "tilting module",
      "weyl module",
      "complete picture",
      "algebraic group",
      "tensor product"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}