{
  "annotation_id": "a0680916-de41-451c-ae2f-fa2f9ef8284c",
  "date_created": "2026-03-02T18:01:28.825000Z",
  "date_modified": "2026-03-02T18:01:28.825000Z",
  "file_hash": "a0e645ced9edd95f737213fc8693c2ab948a4a9236f1f6f520881d56e1326397",
  "private": false,
  "record": {
    "abstract": "Boundary solutions to the quantum Yang-Baxter (qYB) equation are defined to\nbe those in the boundary of (but not in) the variety of solutions to the\n``modified\u0027\u0027 qYB equation, the latter being analogous to the modified classical\nYang-Baxter (cYB) equation. We construct, for a large class of solutions $r$ to\nthe modified cYB equation, explicit ``boundary quantizations\u0027\u0027, i.e., boundary\nsolutions to the qYB equation of the form $I+tr+ t^2r_{2} + ...$. In the last\nsection we list and give quantizations for all classical r-matrices in $sl(3)\n\\wedge sl(3)$.",
    "arxiv_id": "q-alg/9710033",
    "authors": [
      "Murray Gerstenhaber",
      "Anthony Giaquinto"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Boundary solutions of the quantum Yang-Baxter equation and solutions in   three dimensions",
    "url": "https://arxiv.org/abs/q-alg/9710033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2b71a757-ff31-48d3-8cce-96a1ffa379dc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}