{"pk":64966,"title":"A generalization of perfectly clustering words and band bricks for certain gentle algebras","subtitle":null,"abstract":"We generalize the perfectly clustering words of Simpson and Puglisi and relate them to band bricks over certain gentle algebras. This allows us to prove a generalization of a conjecture by the second author on perfectly clustering words.\n \nMathematics Subject Classifications: 16G20, 68R15\n \nKeywords: Perfectly clustering words, gentle algebras, bands, bricks","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":"Perfectly clustering words"},{"word":"gentle algebras"},{"word":"bands"},{"word":"bricks"}],"section":"Research Articles","is_remote":true,"remote_url":"https://escholarship.org/uc/item/9mt1z2nk","frozenauthors":[{"first_name":"Benjamin","middle_name":"","last_name":"Dequêne","name_suffix":"","institution":"Département de mathématiques, LaCIM, Université du Québec à Montréal, Montréal, Canada","department":""},{"first_name":"Mélodie","middle_name":"","last_name":"Lapointe","name_suffix":"","institution":"Département de mathématiques et de statistique, Université de Moncton, Moncton, Canada","department":""},{"first_name":"Yann","middle_name":"","last_name":"Palu","name_suffix":"","institution":"Laboratoire Amienois de Mathématique fondamentale et appliquée, UPJV, Amiens, France","department":""},{"first_name":"Pierre-Guy","middle_name":"","last_name":"Plamondon","name_suffix":"","institution":"Laboratoire de Mathématiques de Versailles, UVSQ, CNRS, Université Paris-Saclay, Institut universitaire de France (IUF), France","department":""},{"first_name":"Christophe","middle_name":"","last_name":"Reutenauer","name_suffix":"","institution":"Département de mathématiques, LaCIM, Université du Québec à Montréal, Montréal, Canada","department":""},{"first_name":"Hugh","middle_name":"","last_name":"Thomas","name_suffix":"","institution":"Département de mathématiques, LaCIM, Université du Québec à Montréal, Montréal, Canada","department":""}],"date_submitted":"2025-03-14T16:28:32Z","date_accepted":"2025-03-14T16:28:32Z","date_published":"2025-03-15T07:00:00Z","render_galley":null,"galleys":[{"label":"","type":"pdf","path":"https://journalpub.escholarship.org/combinatorial_theory/article/64966/galley/49776/download/"}]}