{
  "annotation_id": "829e7a27-490d-497b-86eb-771527a7b762",
  "date_created": "2026-03-02T18:01:27.794000Z",
  "date_modified": "2026-03-02T18:01:27.794000Z",
  "file_hash": "adeca9ce164cf38eb2da6107d272c27f52f96645e9963d680c4724c590124802",
  "private": false,
  "record": {
    "abstract": "We study quantized enveloping algebras called twisted Yangians. They are\nanalogues of the Yangian Y(gl(N)) for the classical Lie algebras of B, C, and D\nseries. The twisted Yangians are subalgebras in Y(gl(N)) and coideals with\nrespect to the coproduct in Y(gl(N)). We give a complete description of their\nfinite-dimensional irreducible representations. Every such representation is\nhighest weight and we give necessary and sufficient conditions for an\nirreducible highest weight representation to be finite-dimensional. The result\nis analogous to Drinfeld\u0027s theorem for the ordinary Yangians. Its detailed\nproof for the A series is also reproduced. For the simplest twisted Yangians we\nconstruct an explicit realization for each finite-dimensional irreducible\nrepresentation in tensor products of representations of the corresponding Lie\nalgebras.",
    "arxiv_id": "q-alg/9711022",
    "authors": [
      "Alexander Molev"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.532551",
    "journal_ref": "J.Math.Phys. 39 (1998) 5559-5600",
    "title": "Finite-dimensional irreducible representations of twisted Yangians",
    "url": "https://arxiv.org/abs/q-alg/9711022"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e6dda85-21f1-4806-ae46-003f4946e6a4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}