{
  "id": "2006.15063",
  "version": "v1",
  "published": "2020-06-26T15:40:15.000Z",
  "updated": "2020-06-26T15:40:15.000Z",
  "title": "On homomorphisms involving a hook Weyl module",
  "authors": [
    "Mihalis Maliakas",
    "Dimitra-Dionysia Stergiopoulou"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "Let $k$ be an infinite field of positive characteristic. We determine all homomorphisms between Weyl modules for $GLn(k)$, where one of the partitions is a hook. As a consequence we obtain a nonvanishing result concerning homomorphisms between Weyl modules for algebraic groups of type B, C and D when one of the partitions is a hook.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-26T15:40:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20G05"
    ],
    "keywords": [
      "hook weyl module",
      "algebraic groups",
      "partitions",
      "nonvanishing result concerning homomorphisms",
      "infinite field"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}