{
  "id": "1202.0476",
  "version": "v1",
  "published": "2012-02-02T16:16:36.000Z",
  "updated": "2012-02-02T16:16:36.000Z",
  "title": "On E-functions of Semisimple Lie Groups",
  "authors": [
    "Jiří Hrivnák",
    "Iryna Kashuba",
    "Jiří Patera"
  ],
  "comment": "17 pages, 2 figures",
  "journal": "J. Phys. A: Math. Theor. 44 (2011) 325205",
  "doi": "10.1088/1751-8113/44/32/325205",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We develop and describe continuous and discrete transforms of class functions on a compact semisimple, but not simple, Lie group $G$ as their expansions into series of special functions that are invariant under the action of the even subgroup of the Weyl group of $G$. We distinguish two cases of even Weyl groups -- one is the direct product of even Weyl groups of simple components of $G$, the second is the full even Weyl group of $G$. The problem is rather simple in two dimensions. It is much richer in dimensions greater than two -- we describe in detail $E-$transforms of semisimple Lie groups of rank 3.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-02-02T16:16:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "semisimple lie groups",
      "weyl group",
      "e-functions",
      "simple components",
      "compact semisimple"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Aug",
      "volume": 44,
      "number": 32,
      "pages": 325205
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44F5205H"
    }
  }
}