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{ "pk": 64812, "title": "The Pelletier--Ressayre hidden symmetry for Littlewood--Richardson coefficients", "subtitle": null, "abstract": "We prove an identity for Littlewood--Richardson coefficients conjectured by Pelletier and Ressayre. The proof relies on a novel birational involution defined over any semifield.\nKeywords: Symmetric functions, Littlewood--Richardson coefficients, partitions, Schur functions, Schur polynomials, birational combinatorics, detropicalization, partitions.\nMathematics Subject Classifications: 05E05", "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/4321d4vh", "frozenauthors": [ { "first_name": "Darij", "middle_name": "", "last_name": "Grinberg", "name_suffix": "", "institution": "Mathematisches Forschungsinstitut Oberwolfach, Schwarzwaldstrasse 9--11, 77709 Oberwolfach, Germany\nDrexel University, Korman Center #263, 15 S 33rd Street, Philadelphia, PA, 19104, U.S.A.", "department": "" } ], "date_submitted": "2021-11-12T21:48:40Z", "date_accepted": "2021-11-12T21:48:40Z", "date_published": "2021-12-15T08:00:00Z", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64812/galley/49622/download/" } ] }