{"id":"https://openalex.org/W4323854618","doi":"https://doi.org/10.1142/s0218196723500261","title":"The Yang\u2013Baxter equation and Thompson\u2019s group <i>F</i>","display_name":"The Yang\u2013Baxter equation and Thompson\u2019s group <i>F</i>","publication_year":2023,"publication_date":"2023-03-10","ids":{"openalex":"https://openalex.org/W4323854618","doi":"https://doi.org/10.1142/s0218196723500261"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196723500261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196723500261","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5036829502","display_name":"Fabienne Chouraqui","orcid":"https://orcid.org/0000-0002-1676-9397"},"institutions":[{"id":"https://openalex.org/I91203450","display_name":"University of Haifa","ror":"https://ror.org/02f009v59","country_code":"IL","type":"education","lineage":["https://openalex.org/I91203450"]},{"id":"https://openalex.org/I107326029","display_name":"Oranim Academic College of Education","ror":"https://ror.org/01539v588","country_code":"IL","type":"education","lineage":["https://openalex.org/I107326029"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Fabienne Chouraqui","raw_affiliation_strings":["University of Haifa at Oranim, Kiryat Tivon, Israel"],"affiliations":[{"raw_affiliation_string":"University of Haifa at Oranim, Kiryat Tivon, Israel","institution_ids":["https://openalex.org/I107326029","https://openalex.org/I91203450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5036829502"],"corresponding_institution_ids":["https://openalex.org/I107326029","https://openalex.org/I91203450"],"apc_list":null,"apc_paid":null,"fwci":4.6701,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.95357591,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"33","issue":"03","first_page":"547","last_page":"584"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8927152156829834},{"id":"https://openalex.org/keywords/monoid","display_name":"Monoid","score":0.7775576114654541},{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.6347885131835938},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.6150074601173401},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5638198852539062},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5559332370758057},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5462389588356018},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5252969861030579},{"id":"https://openalex.org/keywords/operator","display_name":"Operator (biology)","score":0.5055348873138428},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.4491333067417145},{"id":"https://openalex.org/keywords/conformal-map","display_name":"Conformal map","score":0.42724084854125977},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.41479790210723877},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3390452265739441},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1534210443496704},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06387481093406677}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8927152156829834},{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.7775576114654541},{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.6347885131835938},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.6150074601173401},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5638198852539062},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5559332370758057},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5462389588356018},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5252969861030579},{"id":"https://openalex.org/C17020691","wikidata":"https://www.wikidata.org/wiki/Q139677","display_name":"Operator (biology)","level":5,"score":0.5055348873138428},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.4491333067417145},{"id":"https://openalex.org/C98214594","wikidata":"https://www.wikidata.org/wiki/Q850275","display_name":"Conformal map","level":2,"score":0.42724084854125977},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.41479790210723877},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3390452265739441},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1534210443496704},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06387481093406677},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86339819","wikidata":"https://www.wikidata.org/wiki/Q407384","display_name":"Transcription factor","level":3,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C158448853","wikidata":"https://www.wikidata.org/wiki/Q425218","display_name":"Repressor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196723500261","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196723500261","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W245683260","https://openalex.org/W1793020813","https://openalex.org/W1834284857","https://openalex.org/W1970192247","https://openalex.org/W1984274177","https://openalex.org/W1985885288","https://openalex.org/W1994300421","https://openalex.org/W1995969674","https://openalex.org/W2002863566","https://openalex.org/W2007152098","https://openalex.org/W2008557702","https://openalex.org/W2019163314","https://openalex.org/W2022935672","https://openalex.org/W2028782705","https://openalex.org/W2033511865","https://openalex.org/W2036224501","https://openalex.org/W2050025267","https://openalex.org/W2054761642","https://openalex.org/W2073456386","https://openalex.org/W2074815012","https://openalex.org/W2075534700","https://openalex.org/W2079188442","https://openalex.org/W2086023871","https://openalex.org/W2090149729","https://openalex.org/W2116606779","https://openalex.org/W2118905382","https://openalex.org/W2145815450","https://openalex.org/W2158446505","https://openalex.org/W2170853108","https://openalex.org/W2302011925","https://openalex.org/W2505692471","https://openalex.org/W2517833287","https://openalex.org/W2606599669","https://openalex.org/W2625398403","https://openalex.org/W2736245324","https://openalex.org/W2789278181","https://openalex.org/W2891539053","https://openalex.org/W2962844998","https://openalex.org/W2963154383","https://openalex.org/W2963417786","https://openalex.org/W2963834791","https://openalex.org/W2963945370","https://openalex.org/W3098517263","https://openalex.org/W3101270604","https://openalex.org/W3104248411","https://openalex.org/W4211083144","https://openalex.org/W4251535942","https://openalex.org/W4293877977"],"related_works":["https://openalex.org/W2353039109","https://openalex.org/W2900100504","https://openalex.org/W4315588385","https://openalex.org/W3161268522","https://openalex.org/W3124638673","https://openalex.org/W2066153363","https://openalex.org/W587735977","https://openalex.org/W2061564118","https://openalex.org/W3130993066","https://openalex.org/W1973665004"],"abstract_inverted_index":{"We":[0,40],"define":[1,41],"non-degenerate":[2,10,48],"involutive":[3,11,49],"partial":[4,50,57,87,104],"solutions":[5,13,88,105],"as":[6,35],"a":[7,25,32,47,69,84],"generalization":[8],"of":[9,14,28,46,68,97],"set-theoretical":[12],"the":[15,29,42,56,65,95],"quantum":[16],"Yang\u2013Baxter":[17],"equation":[18],"(QYBE).":[19],"The":[20],"induced":[21],"operator":[22,34],"is":[23,59,83],"not":[24],"classical":[26],"solution":[27,51,58],"QYBE,":[30],"but":[31],"braiding":[33],"in":[36,109],"conformal":[37],"field":[38],"theory.":[39],"structure":[43],"inverse":[44,71,75],"monoid":[45,72],"and":[52,73,89,106],"prove":[53],"that":[54,81],"if":[55],"square-free,":[60],"then":[61],"it":[62],"embeds":[63],"into":[64],"restricted":[66],"product":[67],"commutative":[70],"an":[74],"symmetric":[76],"monoid.":[77],"Furthermore,":[78],"we":[79],"show":[80],"there":[82,99],"connection":[85],"between":[86,103],"Thompson\u2019s":[90,107],"group":[91],"F.":[92],"This":[93],"raises":[94],"question":[96],"whether":[98],"are":[100],"further":[101],"connections":[102],"groups":[108],"general.":[110]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2023-03-11T00:00:00"}
