{
  "annotation_id": "5386f9a4-3b87-4fd9-bd0f-306150506756",
  "date_created": "2026-03-02T18:01:32.321000Z",
  "date_modified": "2026-03-02T18:01:32.321000Z",
  "file_hash": "8b661c19c57797a0d50cc220f5c0912b81639f7d9748af890efb05dbf2a6b3e6",
  "private": false,
  "record": {
    "abstract": "By starting from the four DNA bases order in the Boolean lattice, a novel Lie\nAlgebra of the genetic code is proposed. Here, the principal partitions of the\ngenetic code table were obtained as equivalent classes of quotient subspaces of\nthe genetic code vector space over the Galois field of the four DNA bases. The\nnew algebraic structure shows strong connections among algebraic relationships,\ncodon assignment and physicochemical properties of amino acids. Moreover, a\ndistance function defined between codons in the Lie algebra was demonstrated to\nhave a linear behavior respect to physical variables such as the mean of amino\nacids energy in proteins. It was also noticed that the distance between wild\ntype and mutant codons approach smaller values in mutational variants of four\ngenes, i.e, human phenylalanine hydroxylase, human beta-globin, HIV-1 protease\nand HIV-1 reverse transcriptase. These results strongly suggest that\ndeterministic rules in genetic code origin must be involved.",
    "arxiv_id": "q-bio/0501036",
    "authors": [
      "Robersy Sanchez",
      "Ricardo Grau"
    ],
    "categories": [
      "q-bio.QM",
      "q-bio.GN"
    ],
    "title": "A Novel Lie Algebra of the Genetic Code over the Galois Field of Four   DNA Bases",
    "url": "https://arxiv.org/abs/q-bio/0501036"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "08f13649-d4d4-4932-8b24-309f177290d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}