{
  "annotation_id": "17bb1158-8fa2-49a7-ae25-baa9a9f7973c",
  "date_created": "2026-03-02T18:01:27.542000Z",
  "date_modified": "2026-03-02T18:01:27.542000Z",
  "file_hash": "785403bbd8934fbb1f0e0453c05d6bf5140e7fd17d6fafe46868ab103bbd6fa5",
  "private": false,
  "record": {
    "abstract": "For Belavin\u0027s elliptic quantum R-matrix, we construct an L-operator as a set\nof difference operators acting on functions on the type A weight space.\nAccording to the fundamental relation $RLL=LLR$, the trace of the L-operator\ngives a commuting difference operators. We show that for the above mentioned\nL-operator this approach gives Macdonald type operators with elliptic theta\nfunction coefficient, actually equivalent to Ruijsenaars\u0027 operators. The\nrelationship between the difference L-operator and Krichever\u0027s Lax matrix as\nwell as other approaches for the elliptic commuting system is given. We also\nstudy the invariant subspace for the system which is spanned by symmetric theta\nfunctions.",
    "arxiv_id": "q-alg/9512029",
    "authors": [
      "Koji Hasegawa"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Ruijsenaars\u0027 commuting difference operators as commuting transfer   matrices",
    "url": "https://arxiv.org/abs/q-alg/9512029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c2a82b17-391d-419f-ab7c-e7b391c0412e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}