{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T20:56:53Z","timestamp":1773867413064,"version":"3.50.1"},"reference-count":27,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2022,12,23]],"date-time":"2022-12-23T00:00:00Z","timestamp":1671753600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Centro De Excelencia En Computaci\u00f3n Cient\u00edfica CoE-SciCo, Universidad Nacional de Colombia"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>Currently, researching the Yang\u2013Baxter equation (YBE) is a subject of great interest among scientists of diverse areas in mathematics and other sciences. One of the fundamental open problems is to find all of its solutions. The investigation deals with developing theories such as knot theory, Hopf algebras, quandles, Lie and Jordan (super) algebras, and quantum computing. One of the most successful techniques to obtain solutions of the YBE was given by Rump, who introduced an algebraic structure called the brace, which allows giving non-degenerate involutive set-theoretical solutions. This paper introduces Brauer configuration algebras, which, after appropriate specializations, give rise to braces associated with Thompson\u2019s group F. The dimensions of these algebras and their centers are also given.<\/jats:p>","DOI":"10.3390\/computation11010002","type":"journal-article","created":{"date-parts":[[2022,12,23]],"date-time":"2022-12-23T03:55:21Z","timestamp":1671767721000},"page":"2","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Solutions of the Yang\u2013Baxter Equation Arising from Brauer Configuration Algebras"],"prefix":"10.3390","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-6812-5131","authenticated-orcid":false,"given":"Agust\u00edn Moreno","family":"Ca\u00f1adas","sequence":"first","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No. 45-03, Bogot\u00e1 11001000, Colombia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2051-9075","authenticated-orcid":false,"given":"Adolfo","family":"Ballester-Bolinches","sequence":"additional","affiliation":[{"name":"Departament de Matem\u00e0tiques, Universitat de Val\u00e8ncia, Dr. Moliner 50, Burjassot, 46100 Val\u00e8ncia, Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7800-6061","authenticated-orcid":false,"given":"Isa\u00edas David Mar\u00edn","family":"Gaviria","sequence":"additional","affiliation":[{"name":"Departamento de Matem\u00e1ticas, Universidad Nacional de Colombia, Edificio Yu Takeuchi 404, Kra 30 No. 45-03, Bogot\u00e1 11001000, Colombia"}]}],"member":"1968","published-online":{"date-parts":[[2022,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1312","DOI":"10.1103\/PhysRevLett.19.1312","article-title":"Some exact results for the many-body problem in one dimension with repulsive delta-function interaction","volume":"19","author":"Yang","year":"1967","journal-title":"Phys. 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