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{ "pk": 64953, "title": "A row analogue of Hecke column insertion", "subtitle": null, "abstract": "We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivial variation of Hecke column insertion which generalizes EG column insertion. Similar to Hecke column insertion, our row insertion is bijective and respects Hecke equivalence, and therefore recovers the expansions of stable Grothendieck functions into Grassmannian stable Grothendieck functions.\n \nMathematics Subject Classifications: 05E05\n \nKeywords: Hecke insertion, Grothendieck polynomials", "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": "Hecke insertion" }, { "word": "Grothendieck polynomials" } ], "section": "Research Articles", "is_remote": true, "remote_url": "https://escholarship.org/uc/item/7069j7xd", "frozenauthors": [ { "first_name": "Daoji", "middle_name": "", "last_name": "Huang", "name_suffix": "", "institution": "School of Mathematics, University of Minnesota, Minneapolis, MN, U.S.A.", "department": "" }, { "first_name": "Mark", "middle_name": "", "last_name": "Shimozono", "name_suffix": "", "institution": "Department of Mathematics, Virginia Tech, Blacksburg, VA, U.S.A.", "department": "" }, { "first_name": "Tianyi", "middle_name": "", "last_name": "Yu", "name_suffix": "", "institution": "Department of Mathematics, University of California, San Diego, San Diego, CA, U.S.A.", "department": "" } ], "date_submitted": "2024-09-26T16:26:03+02:00", "date_accepted": "2024-09-26T16:26:03+02:00", "date_published": "2024-09-30T09:00:00+02:00", "render_galley": null, "galleys": [ { "label": "", "type": "pdf", "path": "https://journalpub.escholarship.org/combinatorial_theory/article/64953/galley/49763/download/" } ] }