{
  "id": "1411.0750",
  "version": "v1",
  "published": "2014-11-04T01:32:39.000Z",
  "updated": "2014-11-04T01:32:39.000Z",
  "title": "Homomorphisms from an arbitrary Specht module to one corresponding to a hook",
  "authors": [
    "Joseph Loubert"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "We use the presentation of the Specht modules given by Kleshchev-Mathas-Ram to derive results about Specht modules. In particular, we determine all homomorphisms from an arbitrary Specht module to a fixed Specht module corresponding to any hook partition. Along the way, we give a complete description of the action of the standard KLR generators on the hook Specht module. This work generalizes a result of James.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-11-04T01:32:39.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "arbitrary specht module",
      "homomorphisms",
      "hook specht module",
      "standard klr generators",
      "corresponding"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}