{
  "id": "2006.16196",
  "version": "v1",
  "published": "2020-06-29T17:03:37.000Z",
  "updated": "2020-06-29T17:03:37.000Z",
  "title": "A bound on the degree of singular vectors for the exceptional Lie superalgebra $E(5,10)$",
  "authors": [
    "Daniele Brilli"
  ],
  "comment": "18 pages",
  "categories": [
    "math.RT"
  ],
  "abstract": "We use the language of Lie pseudoalgebras to gain information about the representation theory of the simple infinite-dimensional linearly compact Lie superalgebra of exceptional type $E(5,10)$. This technology allows us to prove that the degree of singular vectors in minimal Verma modules is $\\leq 14$. A few technical adjustments allow us to refine the bound, proving that the degree must always be $\\leq 12$ and it is actually, except for a finite number of cases, $\\leq 10$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-29T17:03:37.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "exceptional lie superalgebra",
      "singular vectors",
      "simple infinite-dimensional linearly compact lie",
      "infinite-dimensional linearly compact lie superalgebra",
      "minimal verma modules"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}