{
  "annotation_id": "41ebf028-c00f-42e5-9088-1f68b549de9b",
  "date_created": "2026-03-02T18:01:28.073000Z",
  "date_modified": "2026-03-02T18:01:28.073000Z",
  "file_hash": "c11ac045ed9ad4b4f8ea39ae1c0216685e9e389804a974ebd0c965a1ad65fc37",
  "private": false,
  "record": {
    "abstract": "We study the tensor product $V$ of any number of \"elementary\" irreducible\nmodules over the Yangian of the general linear Lie algebra. An elementary\nmodule is determined by a skew Young diagram and by a complex parameter, and\ncontains a vector called singular. We give sufficient conditions for cyclicity\nin $V$ of the tensor product of these singular vectors. By using this result,\nwe give an irreducibility criterion for $V$ when each of the skew Young\ndiagrams determining the tensor factors has rectangular shape.",
    "arxiv_id": "q-alg/9712004",
    "authors": [
      "Maxim Nazarov",
      "Vitaly Tarasov"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "journal_ref": "Internat. Math. Research Notices (1998), 125-150 and (2024),\n  8101-8103",
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "On Irreducibility of Tensor Products of Yangian Modules",
    "url": "https://arxiv.org/abs/q-alg/9712004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e8352e86-c584-42ad-b255-f1806111cdc3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}