{
  "annotation_id": "546710eb-dec2-49da-ae04-39ae941bf29b",
  "date_created": "2026-03-02T18:01:28.815000Z",
  "date_modified": "2026-03-02T18:01:28.815000Z",
  "file_hash": "eea3b03547a1eec8d6987fc59c5eb5da2a2e2ab0bff4db6509b9bbc5518d9356",
  "private": false,
  "record": {
    "abstract": "We study permutation type solutions to n-simplex equations, that is,\nsolutions whose R matrix can be written as a product of delta- functions\ndepending linearly on the indices. With this ansatz the D^{n(n+1)} equations of\nthe n-simplex equation reduce to an [n(n+1)/2+1]x[n(n+1)/2+1] matrix equation\nover Z_D. We have completely analyzed the 2-, 3- and 4-simplex equations in the\ngeneric D case. The solutions show interesting patterns that seem to continue\nto still higher simplex equations.",
    "arxiv_id": "q-alg/9702006",
    "authors": [
      "Jarmo Hietarinta"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/30/13/024",
    "title": "Permutation-type solutions to the Yang-Baxter and other n-simplex   equations",
    "url": "https://arxiv.org/abs/q-alg/9702006"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0767527a-959c-4dfb-addd-70296f93ae69",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}