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{ "pk": 64868, "title": "Convex subspaces of Lie incidence geometries", "subtitle": null, "abstract": "We classify the convex subspaces of all hexagonic Lie incidence geometries (among which all long root geometries of spherical Tits-buildings). We perform a similar classification for most other Lie incidence geometries of spherical Tits-buildings, in particular for all projective and polar Grassmannians, and for exceptional Grassmannians of diameter at most 3.\n \nMathematics Subject Classifications: 51E24\n \nKeywords: Buildings, parapolar spaces, long root geometries, hexagonal Lie incidence geometries", "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": "Buildings" }, { "word": "parapolar spaces" }, { "word": "long root geometries" }, { "word": "hexagonal Lie incidence geometries" } ], "section": "Research Articles", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/632884hc", "frozenauthors": [ { "first_name": "Jeroen", "middle_name": "", "last_name": "Meulewaeter", "name_suffix": "", "institution": "Department of Mathematics: Algebra and Geometry, Ghent University, Belgium", "department": "" }, { "first_name": "Hendrik", "middle_name": "", "last_name": "Van Maldeghem", "name_suffix": "", "institution": "Department of Mathematics: Algebra and Geometry, Ghent University, Belgium", "department": "" } ], "date_submitted": "2022-10-12T15:01:43Z", "date_accepted": "2022-10-12T15:01:43Z", "date_published": "2022-10-15T07:00:00Z", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64868/galley/49678/download/" } ] }