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{
    "pk": 64807,
    "title": "Crystal structures on FFLV polytopes",
    "subtitle": null,
    "abstract": "In this paper we formulate a conjecture about the crystal structures on Feigin--Fourier--Littelmann--Vinberg (FFLV) polytopes and prove it in small rank examples. In the case of multiples of a fundamental weight this approach recovers the crystal structures defined by Kus. A key step in this approach is the realisation of FFLV polytopes as Minkowski sums of Lusztig polytopes associated to different reduced words.\nKeywords: Crystal structure, Lusztig polytope, FFLV polytope.\nMathematics Subject Classifications: 05E10, 17B10",
    "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/4g96d04z",
    "frozenauthors": [
        {
            "first_name": "Xin",
            "middle_name": "",
            "last_name": "Fang",
            "name_suffix": "",
            "institution": "Abteilung Mathematik, Department Mathematik/Informatik, Universität zu Köln, 50931, Cologne, Germany",
            "department": ""
        },
        {
            "first_name": "Gleb",
            "middle_name": "",
            "last_name": "Koshevoy",
            "name_suffix": "",
            "institution": "The Institute for Information Transmission Problems of the RAS, 19, Bol’shoi Karetnyi per., 127051 Moscow, Russia",
            "department": ""
        }
    ],
    "date_submitted": "2021-11-12T15:49:35Z",
    "date_accepted": "2021-11-12T15:49:35Z",
    "date_published": "2021-12-15T08:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64807/galley/49617/download/"
        }
    ]
}