{
  "id": "2006.12961",
  "version": "v1",
  "published": "2020-06-23T13:01:59.000Z",
  "updated": "2020-06-23T13:01:59.000Z",
  "title": "On self-extensions of irreducible modules over symmetric groups",
  "authors": [
    "Haralampos Geranios",
    "Alexander Kleshchev",
    "Lucia Morotti"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "A conjecture going back to the eighties claims that there are no non-trivial self-extensions of irreducible modules over symmetric groups if the characteristic of the ground field is not equal to $2$. We obtain some partial positive results on this conjecture.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T13:01:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symmetric groups",
      "irreducible modules",
      "eighties claims",
      "partial positive results",
      "non-trivial self-extensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}