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{
    "pk": 64918,
    "title": "Webs and canonical bases in degree two",
    "subtitle": null,
    "abstract": "We show that Lusztig's canonical basis for the degree two part of the Grassmannian coordinate ring is given by \\({\\rm SL}_k\\) web diagrams. Equivalently, we show that every \\({\\rm SL}_2\\) web immanant of a plabic graph for \\({\\rm Gr}(k,n)\\) is an \\({\\rm SL}_k\\) web invariant.\n \nMathematics Subject Classifications: 05E10, 14M15, 20C30\n \nKeywords: Grassmannians, webs, canonical basis, Catalan",
    "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": "Grassmannians"
        },
        {
            "word": "webs"
        },
        {
            "word": "canonical basis"
        },
        {
            "word": "Catalan"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/1s28q0vg",
    "frozenauthors": [
        {
            "first_name": "Chris",
            "middle_name": "",
            "last_name": "Fraser",
            "name_suffix": "",
            "institution": "Department of Mathematics, Michigan State University, East Lansing, MI, U.S.A.",
            "department": ""
        }
    ],
    "date_submitted": "2023-12-22T14:08:18Z",
    "date_accepted": "2023-12-22T14:08:18Z",
    "date_published": "2023-12-22T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64918/galley/49728/download/"
        }
    ]
}