{
  "annotation_id": "ef2d28f3-0e1a-48f3-a342-adb7f9a3764b",
  "date_created": "2026-03-02T18:01:25.416000Z",
  "date_modified": "2026-03-02T18:01:25.416000Z",
  "file_hash": "7203500370486a30b481da5090cd3485e3bce2dd6915c9d77aedf1aff0545b75",
  "private": false,
  "record": {
    "abstract": "We study certain family of finite-dimensional modules over the Yangian\n$Y(gl_N)$. The algebra $Y(gl_N)$ comes equipped with a distinguished maximal\ncommutative subalgebra $A(gl_n)$ generated by the centres of all algebras in\nthe chain $Y(gl_1)\\subset Y(gl_2)\\subset...\\subset Y(gl_N)$. We study the\nfinite-dimensional $Y(gl_N)$-modules with a semisimple action of the subalgebra\n$A(gl_N)$. We call these modules tame.\n  We provide a characterization of irreducible tame modules in terms of their\nDrinfeld polynomials. We prove that every irreducible tame module splits into a\ntensor product of modules corresponding to the skew Young diagrams and some\none-dimensional module.\n  The eigenbases of $A(gl_N)$ in irreducible tame modules are called\nGelfand-Zetlin bases. We provide explicit formulas for the action of the\nDrinfeld generators of the algebra $Y(gl_N)$ on the vectors of Gelfand-Zetlin\nbases.",
    "arxiv_id": "q-alg/9502008",
    "authors": [
      "Maxim Nazarov",
      "Vitaly Tarasov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "J. Reine Angew. Math. 496 (1998), 181-212",
    "title": "Representations of Yangians with Gelfand-Zetlin Bases",
    "url": "https://arxiv.org/abs/q-alg/9502008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "33a53eee-ac5b-41bd-9299-7fd72f95929b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}