{
  "annotation_id": "71a377da-ed9c-4461-a97a-24de1e50ddef",
  "date_created": "2026-03-02T18:01:17.822000Z",
  "date_modified": "2026-03-02T18:01:17.822000Z",
  "file_hash": "3bd2eff4ce31e806a1833f163c1e273f66d1cb00e01ddc323a5cab0f65c2b31e",
  "private": false,
  "record": {
    "abstract": "It is shown that there are infinitely many formulas to calculate\nmultiplicities of weights participating in irreducible representations of $A_N$\nLie algebras. On contrary to recursive character of Kostant and Freudenthal\nmultiplicity formulas, they provide us systems of linear algebraic equations\nwith N-dependent polinomial coefficients. These polinomial coefficients are in\nfact related with polinomials which represent eigenvalues of Casimir operators.",
    "arxiv_id": "physics/9611008",
    "authors": [
      "H. R. Karadayi"
    ],
    "categories": [
      "math-ph",
      "alg-geom",
      "hep-th",
      "math.AG",
      "math.MP"
    ],
    "title": "Non-Recursive Multiplicity Formulas for $A_N$ Lie Algebras",
    "url": "https://arxiv.org/abs/physics/9611008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "056127ef-fe6b-4806-844f-bcf59df5a2ec",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}