{
  "annotation_id": "4e964e36-1e75-4a09-ac86-3c469c3c7338",
  "date_created": "2026-03-02T18:01:24.707000Z",
  "date_modified": "2026-03-02T18:01:24.707000Z",
  "file_hash": "231491bf667e90e1ecef326cad243571f827cfe092d35c6322cb22071e7bf509",
  "private": false,
  "record": {
    "abstract": "The branching rules between simple Lie algebras and its regular (maximal)\nsimple subalgebras are studied. Two types of recursion relations for anomalous\nrelative multiplicities are obtained. One of them is proved to be the\nfactorized version of the other. The factorization property is based on the\nexistence of the set of weights $\\Gamma$ specific for each injection. The\nstructure of $\\Gamma$ is easily deduced from the correspondence between the\nroot systems of algebra and subalgebra. The recursion relations thus obtained\ngive rise to simple and effective algorithm for branching rules. The details\nare exposed by performing the explicit decomposition procedure for $A_{3}\n\\oplus u(1) \\to B_{4}$ injection.",
    "arxiv_id": "q-alg/9505006",
    "authors": [
      "V. D. Lyakhovsky"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/29/5/020",
    "title": "Recursion relations and branching rules for simple Lie algebras",
    "url": "https://arxiv.org/abs/q-alg/9505006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7c952684-854d-4d2f-a7e8-bfb07471b2e6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}