{
  "annotation_id": "73d746e9-85a5-4ab7-93b4-8aa719d85a61",
  "date_created": "2026-03-02T18:01:28.600000Z",
  "date_modified": "2026-03-02T18:01:28.600000Z",
  "file_hash": "263ddce25e114252c9fac8753d04cf258fcf757f8d9b559699ed85aacba953bd",
  "private": false,
  "record": {
    "abstract": "In this report we give an intrinsic treatment of the results we developed in\na previous work connecting the differential calculi on Hopf algebras to the\nDrinfeld double. In the first place we recover that bicovariant bimodules are\nin one to one correspondence with the Drinfeld double representations; we then\nintroduce a Hochschild cohomology of the algebra of functions and discuss the\nmain result stating that each differential calculus is associated to a\n1-cocycle satisfying an additional invariance condition with respect to a\nnatural action. Defining a Hochschild cohomology of the double, the above\ninvariance becomes a condition with respect to the enveloping algebra component\nof the double that must be added to the 1-cocycle relation.",
    "arxiv_id": "q-alg/9612019",
    "authors": [
      "F. Bonechi",
      "R. Giachetti",
      "R. Maciocco",
      "E. Sorace",
      "M. Tarlini"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Cohomological Properties of Differential Calculi on Hopf Algebras",
    "url": "https://arxiv.org/abs/q-alg/9612019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8f29a77a-9c14-4405-a488-5fe38fc8260e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}