{
  "id": "math-ph/0512029",
  "version": "v1",
  "published": "2005-12-09T14:46:57.000Z",
  "updated": "2005-12-09T14:46:57.000Z",
  "title": "Compact Simple Lie Groups and Their C-, S-, and E-Transforms",
  "authors": [
    "Jiri Patera"
  ],
  "comment": "Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/",
  "journal": "SIGMA 1 (2005), 025, 6 pages",
  "doi": "10.3842/SIGMA.2005.025",
  "categories": [
    "math-ph",
    "math.GR",
    "math.MP"
  ],
  "abstract": "New continuous group transforms, together with their discretization over a lattice of any density and admissible symmetry, are defined for a general compact simple Lie groups of rank $2\\leq n<\\infty$. Rank 1 transforms are known. Rank 2 exposition of $C$- and $S$-transforms is in the literature. The $E$-transforms appear here for the first time.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-12-09T14:46:57.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general compact simple lie groups",
      "e-transforms",
      "continuous group transforms",
      "transforms appear",
      "first time"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}