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{
    "pk": 64897,
    "title": "Mullineux involution and crystal isomorphisms",
    "subtitle": null,
    "abstract": "We develop a new approach for the computation of the Mullineux involution for the symmetric group and its Hecke algebra using the notion of crystal isomorphism and the Iwahori-Matsumoto involution for the affine Hecke algebra of type \\(A\\). As a consequence, we obtain several new elementary combinatorial algorithms for its computation, one of which is equivalent to Xu algorithm (and thus Mullineux original algorithm). We thus obtain a simple interpretation of these algorithms and a new elementary proof that they indeed compute the Mullineux involution.\n \nMathematics Subject Classifications: 20C08, 05E10\n \nKeywords: Symmetric group, Mullineux involution, crystal graph",
    "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": "Symmetric group"
        },
        {
            "word": "Mullineux involution"
        },
        {
            "word": "crystal graph"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/2q44c38n",
    "frozenauthors": [
        {
            "first_name": "Nicolas",
            "middle_name": "",
            "last_name": "Jacon",
            "name_suffix": "",
            "institution": "Laboratoire de Mathématiques de Reims, UMR CNRS 0998, France",
            "department": ""
        }
    ],
    "date_submitted": "2023-09-14T07:29:11Z",
    "date_accepted": "2023-09-14T07:29:11Z",
    "date_published": "2023-09-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64897/galley/49707/download/"
        }
    ]
}