{
  "annotation_id": "a60b9f7b-cae7-4a7a-8eb3-751969229316",
  "date_created": "2026-02-17T05:53:11.943000Z",
  "date_modified": "2026-02-17T05:53:11.943000Z",
  "file_hash": "2af79984f4124e76144e9970f971a04593e55da7238c6e5a74c5fdad7eaf9051",
  "private": false,
  "record": {
    "abstract": "We study $\\mathbb Z_2\\times\\mathbb Z_2$ bi-graded Lie algebras. We describe their properties in relation to Lie superalgebras with some compatible structures. Then we focus on the approach to the Lie group--algebra correspondence based on Harish-Chandra pairs and provide some examples of application of it in the bi-graded setting.",
    "arxiv_id": "2601.07803",
    "authors": [
      "Olga Chekeres",
      "Alexei Kotov",
      "Vladimir Salnikov"
    ],
    "categories": [
      "math.DG",
      "math.AG",
      "math.GR",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Adventures of Harish-Chandra in $\\mathbb Z_2 \\times \\mathbb Z_2$-graded world",
    "url": "https://arxiv.org/abs/2601.07803",
    "version": "v2"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "708e0db2-aa0e-4b6f-b83d-99cae07b545a",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}