{
  "id": "1101.6043",
  "version": "v1",
  "published": "2011-01-31T18:10:24.000Z",
  "updated": "2011-01-31T18:10:24.000Z",
  "title": "Branching rules for Weyl group orbits of simple Lie algebras B(n), C(n) and D(n)",
  "authors": [
    "M. Larouche",
    "J. Patera"
  ],
  "comment": "31 pages, accepted in J. Phys. A : Math. Theor",
  "categories": [
    "math-ph",
    "math.MP",
    "math.RT"
  ],
  "abstract": "The orbits of Weyl groups W(B(n)), W(C(n)) and W(D(n)) of the simple Lie algebras B(n), C(n) and D(n) are reduced to the union of the orbits of Weyl groups of the maximal reductive subalgebras of B(n), C(n) and D(n). Matrices transforming points of W(B(n)), W(C(n)) and W(D(n)) orbits into points of subalgebra orbits are listed for all cases n<=8 and for the infinite series of algebra-subalgebra pairs B(n) - B(n-1) x U(1), B(n) - D(n), B(n) - B(n-k) x D(k), B(n) - A(1), C(n) - C(n-k) x C(k), C(n) - A(n-1) x U(1), D(n) - A(n-1) x U(1), D(n) - D(n-1) x U(1), D(n) -B(n-1), D(n) - B(n-k-1) x B(k), D(n) -D(n-k) x D(k). Numerous special cases and examples are shown.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-01-31T18:10:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "20F55",
      "22E46"
    ],
    "keywords": [
      "simple lie algebras",
      "weyl group orbits",
      "branching rules",
      "matrices transforming points",
      "subalgebra orbits"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/44/11/115203",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2011,
      "month": "Mar",
      "volume": 44,
      "number": 11,
      "pages": 115203
    },
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011JPhA...44k5203L"
    }
  }
}