{
  "annotation_id": "831a83c2-c679-425a-8ef3-c1d0d599f72b",
  "date_created": "2026-03-02T18:01:27.740000Z",
  "date_modified": "2026-03-02T18:01:27.740000Z",
  "file_hash": "02a12fdcf6979227124419ba5f3714ace63429e309aad50f107a1b421b4542e5",
  "private": false,
  "record": {
    "abstract": "Using recent results of P. Etingof and A. Varchenko on the Classical\nDynamical Yang-Baxter equation, we reduce the classification of dynamical\nr-matrices r on a commutative subalgebra l of a Lie algebra g to a purely\nalgebraic problem under some technical conditions on the symmetric part of r.\nUsing this, we then classify all non skew-symmetric dynamical r-matrices when g\nis a simple Lie algebra and l a commutative subalgebra containing a regular\nsemisimple element. This partially answers a question in [EV] q-alg/9703040 and\ngeneralizes the Belavin-Drinfeld classification of constant r-matrices. This\nclassification is similar and in some sense simpler than the Belavin-Drinfeld\nclassification.",
    "arxiv_id": "q-alg/9706017",
    "authors": [
      "Olivier Schiffmann"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "On classification of dynamical r-matrices",
    "url": "https://arxiv.org/abs/q-alg/9706017"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "446752be-215d-47d3-b77b-392f3682c705",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}