{
  "annotation_id": "c2f08b15-99ea-49cc-96a2-abce0e534358",
  "date_created": "2026-03-02T18:01:24.905000Z",
  "date_modified": "2026-03-02T18:01:24.905000Z",
  "file_hash": "ab2217fac2ca4c3a017567b747442d6bd570bd92f87898d26fcfb6ad9fc8149e",
  "private": false,
  "record": {
    "abstract": "The deformations of the Galilei algebra and their associated noncommutative\nNewtonian spacetimes are investigated. This is done by analyzing the possible\nnonrelativistic limits of an eleven generator (pseudo)extended \\kap-Poincar\\\u0027e\nalgebra $\\tilde{\\cal P}_\\kappa$ and their implications for the existence of a\nfirst order differential calculus. The additional one-form needed to achieve a\nconsistent calculus on \\kap-Minkowski space is shown to be related to the\nadditional central generator entering in the $\\tilde{\\cal P}_\\kappa$ Hopf\nalgebra. In the process, deformations of the extended Galilei and Galilei\nalgebras are introduced which have, respectively, a cocycle and a\nbicrossproduct structure.",
    "arxiv_id": "q-alg/9505004",
    "authors": [
      "J. A. de Azcarraga",
      "J. C. Perez Bueno"
    ],
    "categories": [
      "q-alg",
      "hep-th",
      "math.QA"
    ],
    "doi": "10.1063/1.531196",
    "journal_ref": "J.Math.Phys.36:6879-6896,1995",
    "title": "Relativistic and Newtonian kappa spacetimes",
    "url": "https://arxiv.org/abs/q-alg/9505004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1d9d3864-a984-4132-ba26-5dd983f83d4d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}