{
  "id": "2403.19640",
  "version": "v1",
  "published": "2024-03-28T17:53:03.000Z",
  "updated": "2024-03-28T17:53:03.000Z",
  "title": "Automorphic functionals for the minimal representations of groups of type $D_n$ and $E_n$",
  "authors": [
    "Nadya Gurevich",
    "David Kazhdan"
  ],
  "categories": [
    "math.RT"
  ],
  "abstract": "The minimal representation $\\Pi$ of $G(\\mathbb A)$ for a split simply-connected group $G$ of type $D$ or $E$ admits a realization on a space of functions $\\mathcal S(X(\\mathbb A))$ for a variety $X$. In this paper we write explicitly an automorphic, i.e. $G(F)$-invariant, functional on $\\mathcal S(X(\\mathbb A)).$",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-03-28T17:53:03.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "22E55",
      "22E50"
    ],
    "keywords": [
      "minimal representation",
      "automorphic functionals",
      "split simply-connected group",
      "realization"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}