{
  "annotation_id": "bc601f4b-c6bd-41ad-bbe0-a6ad7eb56a47",
  "date_created": "2026-03-02T18:01:24.710000Z",
  "date_modified": "2026-03-02T18:01:24.710000Z",
  "file_hash": "23b2ec8a1c8fdaa8ef02d98950a405dd7203549de8eb5fb7a717a933bd83210f",
  "private": false,
  "record": {
    "abstract": "The paper is devoted to the Poisson brackets compatible with multiplication\nin associative algebras. These brackets are shown to be quadratic and their\nrelations with the classical Yang--Baxter equation are revealed. The paper also\ncontains a description of Poisson Lie structures on Lie groups whose Lie\nalgebras are adjacent to an associative structure.",
    "arxiv_id": "q-alg/9503019",
    "authors": [
      "A. A. Balinsky",
      "Yu. M. Burman"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "doi": "10.1007/BF00398299",
    "title": "Quadratic Poisson brackets and Drinfeld theory for associative algebras",
    "url": "https://arxiv.org/abs/q-alg/9503019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ece7f4c8-9cc4-47ea-8ac4-375b02e492bd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}