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{
    "pk": 64804,
    "title": "$P$-strict promotion and $B$-bounded rowmotion, with applications to tableaux of many flavors",
    "subtitle": null,
    "abstract": "We define $P$-strict labelings for a finite poset $P$ as a generalization of semistandard Young tableaux and show that promotion on these objects is in equivariant bijection with a toggle action on $B$-bounded $Q$-partitions of an associated poset $Q$. In many nice cases, this toggle action is conjugate to rowmotion. We apply this result to flagged tableaux, Gelfand--Tsetlin patterns, and symplectic tableaux, obtaining new cyclic sieving and homomesy conjectures. We also show $P$-strict promotion can be equivalently defined using Bender--Knuth and jeu de taquin perspectives.\nMathematics Subject Classifications: 05A19, 05E18",
    "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": [],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/42v401d5",
    "frozenauthors": [
        {
            "first_name": "Joseph",
            "middle_name": "",
            "last_name": "Bernstein",
            "name_suffix": "",
            "institution": "Department of Mathematics, North Dakota State University, North Dakota, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Jessica",
            "middle_name": "",
            "last_name": "Striker",
            "name_suffix": "",
            "institution": "Department of Mathematics, North Dakota State University, North Dakota, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Corey",
            "middle_name": "",
            "last_name": "Vorland",
            "name_suffix": "",
            "institution": "Department of Math and Natural Science, Marian University, Wisconsin, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2021-11-12T14:59:36Z",
    "date_accepted": "2021-11-12T14:59:36Z",
    "date_published": "2021-12-15T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64804/galley/49614/download/"
        }
    ]
}