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{
    "pk": 65007,
    "title": "Orthogonal webs and semisimplification",
    "subtitle": null,
    "abstract": "We define a diagrammatic category that is equivalent to tilting representations for the orthogonal group. Our construction works in characteristic not equal to two. We also describe the semisimplification of this category.\n \nMathematics Subject Classifications: Primary:18M05, 20G05; Secondary:18M30,~20J15\n \nKeywords: Representations of linear algebraic groups, webs, Howe duality, diagrammatic presentation, positive characteristic, semisimplification",
    "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": "Representations of linear algebraic groups"
        },
        {
            "word": "webs"
        },
        {
            "word": "Howe duality"
        },
        {
            "word": "diagrammatic presentation"
        },
        {
            "word": "positive characteristic"
        },
        {
            "word": "semisimplification"
        }
    ],
    "section": "Research Articles",
    "is_remote": true,
    "remote_url": "https://escholarship.org/uc/item/55j055pv",
    "frozenauthors": [
        {
            "first_name": "Elijah",
            "middle_name": "",
            "last_name": "Bodish",
            "name_suffix": "",
            "institution": "MIT, Department of Mathematics, Building 2, Office 2-178, Cambridge, MA 02139, U.S.A.",
            "department": ""
        },
        {
            "first_name": "Daniel",
            "middle_name": "",
            "last_name": "Tubbenhauer",
            "name_suffix": "",
            "institution": "The University of Sydney, School of Mathematics and Statistics F07, Office Carslaw 827, NSW 2006, Australia",
            "department": ""
        }
    ],
    "date_submitted": "2025-09-12T12:10:14Z",
    "date_accepted": "2025-09-12T12:10:14Z",
    "date_published": "2025-09-15T07:00:00Z",
    "render_galley": null,
    "galleys": [
        {
            "label": "",
            "type": "pdf",
            "path": "https://journalpub.escholarship.org/combinatorial_theory/article/65007/galley/49817/download/"
        }
    ]
}