{
  "id": "2411.03031",
  "version": "v1",
  "published": "2024-11-05T11:54:44.000Z",
  "updated": "2024-11-05T11:54:44.000Z",
  "title": "Matrix Elements and Characters of the Discrete Series (\"Massive\") Unitary Irreducible Representations of Sp(4,R)",
  "authors": [
    "Jean-Pierre Gazeau",
    "Mariano A. del Olmo",
    "Hamed Pejhan"
  ],
  "comment": "17 pages",
  "categories": [
    "math-ph",
    "math.GR",
    "math.MP"
  ],
  "abstract": "This paper obtains the matrix elements and characters of the discrete series unitary irreducible representations (UIRs) of the Sp$(4,\\mathbb{R})$ group. With an isomorphic relationship to the two-fold covering of SO$_0(2,3)$ (Sp$(4,\\mathbb{R}) \\sim$ SO$_0(2,3)\\times \\mathbb{Z}_2$), this group holds particular importance as the kinematical/relativity group within the framework of ($1+3$-dimensional) anti-de Sitter spacetime.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-11-05T11:54:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "matrix elements",
      "characters",
      "discrete series unitary irreducible representations",
      "anti-de sitter spacetime",
      "isomorphic relationship"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}