{
  "id": "0909.2337",
  "version": "v1",
  "published": "2009-09-14T18:04:44.000Z",
  "updated": "2009-09-14T18:04:44.000Z",
  "title": "Branching rules for the Weyl group orbits of the Lie algebra A(n)",
  "authors": [
    "M. Larouche",
    "M. Nesterenko",
    "J. Patera"
  ],
  "comment": "14 pages, submitted to J. Phys. A : Math. Theor",
  "journal": "J. Phys. A: Math. Theor. 42 (2009) 485203 (15 pp.)",
  "doi": "10.1088/1751-8113/42/48/485203",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "The orbits of Weyl groups W(A(n)) of simple A(n) type Lie algebras are reduced to the union of orbits of the Weyl groups of maximal reductive subalgebras of A(n). Matrices transforming points of the orbits of W(An) into points of subalgebra orbits are listed for all cases n<=8 and for the infinite series of algebra-subalgebra pairs A(n) - A(n-k-1) x A(k) x U(1), A(2n) - B(n), A(2n-1) - C(n), A(2n-1) - D(n). Numerous special cases and examples are shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-14T18:04:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "22E46"
    ],
    "keywords": [
      "weyl group orbits",
      "branching rules",
      "type lie algebras",
      "maximal reductive subalgebras",
      "matrices transforming points"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2009,
      "month": "Dec",
      "volume": 42,
      "number": 48,
      "pages": 485203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009JPhA...42V5203L"
    }
  }
}