{
  "annotation_id": "6001237b-8bd4-4120-84c9-17fea52d92a2",
  "date_created": "2026-03-02T18:02:20.603000Z",
  "date_modified": "2026-03-02T18:02:20.603000Z",
  "file_hash": "ab204bd5a4a9451a3c58298dc4bdc67788c4406dc1ab9a389c558bcc14b67e4a",
  "private": false,
  "record": {
    "abstract": "Study of the normalizer of the MAD-group corresponding to a finegrading\noffers the most important tool for describing symmetries in the system of\nnon-linear equations connected with contraction of a Lie algebra. One fine\ngrading that is always present in any Lie algebra $sl(n,\\mathbb{C})$ is the\nPauli grading. The MAD-group corresponding to it is generated by generalized\nPauli matrices. For such MAD-group, we already know its normalizer; its\nquotient group is isomorphic to the Lie group $Sl(2,\\mathbb{Z}_n)\\times\nv\\mathbb{Z}_2$.\n  In this paper, we deal with a more complicated situation, namely that the\nfine grading of $sl(p^2, \\mathbb{C})$ is given by a tensor product of the Pauli\nmatrices of the same order $p$, $p$ being a prime. We describe the normalizer\nof the corresponding MAD-group and we show that its quotient group is\nisomorphic to $Sp(4,\\mathbb{Z}_p)\\times\\mathbb{Z}_2$.",
    "arxiv_id": "quant-ph/0510106",
    "authors": [
      "Edita Pelantova",
      "Milena Svobodova",
      "S\u00e9bastien Tremblay"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2162149",
    "journal_ref": "Journal of Mathematical Physics, 2006, 47, No 1, 5341-5357",
    "title": "Fine grading of $sl(p^2,\\mathbb{C})$ generated by tensor product of   generalized Pauli matrices and its symmetries",
    "url": "https://arxiv.org/abs/quant-ph/0510106"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7bde1250-27c9-4ec2-9949-af65e79964cf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}