{
  "annotation_id": "5eb94e6b-8175-44ff-a3ac-dc1fafa256eb",
  "date_created": "2026-03-02T18:01:27.957000Z",
  "date_modified": "2026-03-02T18:01:27.957000Z",
  "file_hash": "a652dadbeee011f8799117a691a73debdc60d89c26b8e404f7a74f9692720461",
  "private": false,
  "record": {
    "abstract": "For an abelian group G we consider braiding in a category of G-graded modules\n$M^{kG}$ given by a bicharacter \\chi on G. For $(G,\\chi)$-bialgebra A in\n$M^{kG}$ an analog of Lie bracket is defined. This bracket is determined by a\nlinear map $E\\in\\End(A)$ and n-ary operations $\\Omega^{n}_{E}$ on A. Our result\nstates that if $E(1)=0,E^{2}=0$ and $\\Omega^{3}_{E}=0$ then a braided Jacobi\nidentity holds and the linear map E is a braided derivation of a braided Lie\nalgebra.",
    "arxiv_id": "q-alg/9611029",
    "authors": [
      "Jerzy Rozanski"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Bicharacters, braids and Jacobi identity",
    "url": "https://arxiv.org/abs/q-alg/9611029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "266e39ed-9c00-4717-a77f-eb015065c4ef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}