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{
    "pk": 64892,
    "title": "A lattice model for super LLT polynomials",
    "subtitle": null,
    "abstract": "We introduce a solvable lattice model for supersymmetric LLT polynomials, also known as super LLT polynomials, based upon particle interactions in super \\(n\\)-ribbon tableaux. Using related Heisenberg operators on a Fock space, we prove Cauchy and Pieri identities for super LLT polynomials, simultaneously generalizing the Cauchy, dual Cauchy, and Pieri identities for LLT polynomials. Lastly, we construct a solvable semi-infinite Cauchy lattice model with a surprising Yang-Baxter equation and examine its connections to the Pieri and Cauchy identities.\n \nMathematics Subject Classifications: 05E05, 82B20, 05E10\n \nKeywords: Lattice models, super LLT polynomials",
    "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": "Lattice models"
        },
        {
            "word": "super LLT polynomials"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/24s1x99c",
    "frozenauthors": [
        {
            "first_name": "Claire",
            "middle_name": "",
            "last_name": "Frechette",
            "name_suffix": "",
            "institution": "School of Mathematics, Boston College, Chestnut Hill, MA 02467, United States",
            "department": ""
        },
        {
            "first_name": "Calvin",
            "middle_name": "",
            "last_name": "Yost-Wolff",
            "name_suffix": "",
            "institution": "Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, United States",
            "department": ""
        },
        {
            "first_name": "Sylvester",
            "middle_name": "W.",
            "last_name": "Zhang",
            "name_suffix": "",
            "institution": "School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States",
            "department": ""
        },
        {
            "first_name": "Valerie",
            "middle_name": "",
            "last_name": "Zhang",
            "name_suffix": "",
            "institution": "Department of Mathematics, Harvard University, Cambridge, MA 02138, United States",
            "department": ""
        }
    ],
    "date_submitted": "2023-09-13T16:02:14Z",
    "date_accepted": "2023-09-13T16:02:14Z",
    "date_published": "2023-09-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64892/galley/49702/download/"
        }
    ]
}