{
  "annotation_id": "0d582455-936c-41f0-a0fc-c09d435f6260",
  "date_created": "2026-02-17T05:53:08.503000Z",
  "date_modified": "2026-02-17T05:53:08.503000Z",
  "file_hash": "b4e33bcc8181cdb0d69859de34520417d8d0f8cadd4fa5d6c61d4916f1eafa8e",
  "private": false,
  "record": {
    "abstract": "As a consequence of the Littlewood-Richardson (LR) commuters coincidence and the Kumar-Torres branching model via Kushwaha-Raghavan-Viswanath flagged hives, we have solved the Lecouvey-Lenart conjecture on the bijections between the Kwon and Sundaram\n  branching models for the pair $({GL}_{2n}(\\mathbb{C}), {Sp}_{2n}(\\mathbb{C})) $ consisting of the general linear group ${GL}_{2n}(\\mathbb{C})$ and the symplectic group ${Sp}_{2n}(\\mathbb{C})$. In particular, thanks to the Henriques-Kamnitzer $gl_n$-crystal commuter, we have recognized that the left companion of an LR-Sundaram tableau is characterized by the Kwon symplectic condition. We now show that the construction of the left companion tableau of an LR-Sundaram tableau exhibits in fact the Kwon symplectic property.",
    "arxiv_id": "2601.06930",
    "authors": [
      "Olga Azenhas"
    ],
    "categories": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "title": "The symplectic left companion of a Littlewood-Richardson-Sundaram tableau and the Kwon property",
    "url": "https://arxiv.org/abs/2601.06930",
    "version": "v1"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "87037ffc-df9a-4734-9fa0-5006fe9fd2d6",
    "id": "arXiv Dataset",
    "type": "Model",
    "variant": "snapshot-2026-01-17",
    "version": "0.1.0"
  },
  "user_id": 1000002
}