{
  "id": "1202.5031",
  "version": "v1",
  "published": "2012-02-22T20:54:02.000Z",
  "updated": "2012-02-22T20:54:02.000Z",
  "title": "Six types of $E-$functions of the Lie groups O(5) and G(2)",
  "authors": [
    "Lenka Háková",
    "Jiří Hrivnák",
    "Jiří Patera"
  ],
  "comment": "25 pages, 13 figures",
  "journal": "J. Phys. A: Math. Theor. 45 (2012) 125201",
  "doi": "10.1088/1751-8113/45/12/125201",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "New families of $E$-functions are described in the context of the compact simple Lie groups O(5) and G(2). These functions of two real variables generalize the common exponential functions and for each group, only one family is currently found in the literature. All the families are fully characterized, their most important properties are described, namely their continuous and discrete orthogonalities and decompositions of their products.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-22T20:54:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact simple lie groups",
      "common exponential functions",
      "discrete orthogonalities",
      "important properties",
      "real variables"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2012,
      "month": "Mar",
      "volume": 45,
      "number": 12,
      "pages": 125201
    },
    "note": {
      "typesetting": "TeX",
      "pages": 25,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012JPhA...45l5201H"
    }
  }
}