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{
    "pk": 64850,
    "title": "Generalised Howe duality and injectivity of induction: the symplectic case",
    "subtitle": null,
    "abstract": "We study the symplectic Howe duality using two new and independent combinatorial methods: via determinantal formulae on the one hand, and via (bi)crystals on the other hand. The first approach allows us to establish a generalised version where weight multiplicities are replaced by branching coefficients. In turn, this generalised Howe duality is used to prove the injectivity of induction for Levi branchings as previously conjectured by the last two authors.\n \nMathematics Subject Classifications: 17B10, 17B37, 05E05, 05E10\n \nKeywords: Lie algebras, representation theory, Schur-Weyl duality, Howe duality, crystals, Schur functions, induced modules",
    "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": "Lie algebras"
        },
        {
            "word": "representation theory"
        },
        {
            "word": "Schur-Weyl duality"
        },
        {
            "word": "Howe duality"
        },
        {
            "word": "crystals"
        },
        {
            "word": "Schur functions"
        },
        {
            "word": "induced modules"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/79s5h3hd",
    "frozenauthors": [
        {
            "first_name": "Thomas",
            "middle_name": "",
            "last_name": "Gerber",
            "name_suffix": "",
            "institution": "École Polytechnique Fédérale de Lausanne, Route cantonale, 1015 Lausanne, Switzerland",
            "department": ""
        },
        {
            "first_name": "Jérémie",
            "middle_name": "",
            "last_name": "Guilhot",
            "name_suffix": "",
            "institution": "Institut Denis Poisson, Université de Tours, Parc de Grandmont, 37200 Tours, France",
            "department": ""
        },
        {
            "first_name": "Cédric",
            "middle_name": "",
            "last_name": "Lecouvey",
            "name_suffix": "",
            "institution": "Institut Denis Poisson, Université de Tours, Parc de Grandmont, 37200 Tours, France",
            "department": ""
        }
    ],
    "date_submitted": "2022-06-25T19:58:37Z",
    "date_accepted": "2022-06-25T19:58:37Z",
    "date_published": "2022-06-30T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64850/galley/49660/download/"
        }
    ]
}