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{
    "pk": 65032,
    "title": "Branching rules of minuscule representations via a new partial order",
    "subtitle": null,
    "abstract": "We introduce a new partial order on the set of all antichains of a fixed size in any poset. When applied to minuscule posets, these partial orders give rise to distributive lattices that appear in the branching rules for minuscule representations of complex simple Lie algebras.\n \nMathematics Subject Classifications: 06A07, 05E10, 06A11\n \nKeywords: Antichain, distributive lattice, minuscule representation, branching rule",
    "language": "en",
    "license": {
        "name": "Creative Commons Attribution 4.0",
        "short_name": "CC BY 4.0",
        "text": "Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.\n\nNo additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.",
        "url": "https://creativecommons.org/licenses/by/4.0"
    },
    "keywords": [
        {
            "word": "Antichain"
        },
        {
            "word": "distributive lattice"
        },
        {
            "word": "minuscule representation"
        },
        {
            "word": "branching rule"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/4bz4327p",
    "frozenauthors": [
        {
            "first_name": "R.",
            "middle_name": "M.",
            "last_name": "Green",
            "name_suffix": "",
            "institution": "Department of Mathematics, University of Colorado Boulder, Boulder, Colorado, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Tianyuan",
            "middle_name": "",
            "last_name": "Xu",
            "name_suffix": "",
            "institution": "Department of Mathematics and Statistics, University of Richmond, Richmond, Virginia, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2026-04-20T11:59:38-07:00",
    "date_accepted": "2026-04-20T11:59:38-07:00",
    "date_published": "2026-04-20T00:00:00-07:00",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/65032/galley/49842/download/"
        }
    ]
}