{
  "annotation_id": "8d26deaa-711b-4a90-895c-40562a10d777",
  "date_created": "2026-03-02T18:01:25.354000Z",
  "date_modified": "2026-03-02T18:01:25.354000Z",
  "file_hash": "0daaec3d1fecda48eb25bd55824543c5223eee8aef990f6ed4633ed8b0b1ed09",
  "private": false,
  "record": {
    "abstract": "We study analogues of the Yangian of the Lie algebra $gl_N$ for the other\nclassical Lie algebras $so_N$ and $sp_N$. We call them twisted Yangians. They\nare coideal subalgebras in the Yangian $Y(gl_N)$ of $gl_N$ and admit\nhomomorphisms onto the universal enveloping algebras $U(so_N)$ and $U(sp_N)$\nrespectively. In every twisted Yangian we construct a family of maximal\ncommutative subalgebras parametrized by the regular semisimple elements of the\ncorresponding classical Lie algebra. The images in $U(so_N)$ and $U(sp_N)$ of\nthese subalgebras are also maximal commutative.",
    "arxiv_id": "q-alg/9507003",
    "authors": [
      "Maxim Nazarov",
      "Grigori Olshanski"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF02099459",
    "journal_ref": "Comm. Math. Phys. 178 (1996), 483-506",
    "title": "Bethe Subalgebras in Twisted Yangians",
    "url": "https://arxiv.org/abs/q-alg/9507003"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "838d7e33-f6b0-488e-a822-5efaf7a83c32",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}