{
  "annotation_id": "874480a5-9d22-4ae1-a778-3a67ef98c71b",
  "date_created": "2026-03-02T18:01:27.868000Z",
  "date_modified": "2026-03-02T18:01:27.868000Z",
  "file_hash": "699ecd30ec9ca1f7599318cbbc179e6a809f98c46cce30fe48f894cdeb9a6a83",
  "private": false,
  "record": {
    "abstract": "The classical deformation theory of Lie algebras involves different kinds of\nMassey products of cohomology classes. Even the condition of extendibility of\nan infinitesimal deformation to a formal one-parameter deformation of a Lie\nalgebra involves Massey powers of two dimensional cohomology classes which are\nnot powers in the usual definition of Massey products in the cohomology of a\ndifferential graded Lie algebra. In the case of deformations with other local\nbases, one deals with other, more specific Massey products. In the present work\na construction of generalized Massey products is given, depending on an\narbitrary graded commutative, associative algebra. In terms of these products,\nthe above condition of extendibility is generalized to deformations with\narbitrary local bases. Dually, a construction of generalized Massey products on\nthe cohomology of a differential graded commutative associative algebra depends\non a nilpotent graded Lie algebra. For example, the classical Massey products\ncorrespond to the Lie algebra of strictly upper triangular matrices, while the\nmatric Massey products correspond to the Lie algebra of block strictly upper\ntriangular matrices.",
    "arxiv_id": "q-alg/9602024",
    "authors": [
      "Dmitry Fuchs",
      "Lynelle Lang"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Massey products and deformations",
    "url": "https://arxiv.org/abs/q-alg/9602024"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6060ebe4-7e2b-454b-8805-1635625a1a1c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}