{
  "annotation_id": "a9731477-affa-4e6e-b723-98cd63532774",
  "date_created": "2026-02-17T05:53:20.125000Z",
  "date_modified": "2026-02-17T05:53:20.125000Z",
  "file_hash": "0b1c94628fd0a5da98053564f0385385d87a0f2adfcc8caa8621e833f6443ee2",
  "private": false,
  "record": {
    "abstract": "We consider the Hopf algebra of B-diagrams as an algebra projecting onto the Heisenberg algebra and designed to encode the combinatorics of the bosonic normal-ordering problem. In order to understand and generalize the properties of the algebra of noncommutative symmetric polynomials viewed as a Hopf subalgebra of the Hopf algebra linearly spanned by B-diagrams, we describe and study its dual Hopf algebra. This construction also allows us to establish connections with combinatorial Hopf algebras based on colored set partitions.",
    "arxiv_id": "2601.09357",
    "authors": [
      "Ali Chouria",
      "Jean-Gabriel Luque"
    ],
    "categories": [
      "math.CO",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "title": "Hopf Algebras of B-Diagrams and Boson Normal Ordering: Exploring the Dual Structures",
    "url": "https://arxiv.org/abs/2601.09357",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a7264c50-7a40-47a4-9c5f-057c7cca1e3e",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}