{"id":"https://openalex.org/W3000103748","doi":"https://doi.org/10.37236/1619","title":"A Specht Module Analog for the Rook Monoid","display_name":"A Specht Module Analog for the Rook Monoid","publication_year":2001,"publication_date":"2001-12-18","ids":{"openalex":"https://openalex.org/W3000103748","doi":"https://doi.org/10.37236/1619","mag":"3000103748"},"language":"en","primary_location":{"id":"doi:10.37236/1619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r2/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5079722407","display_name":"Cheryl Grood","orcid":null},"institutions":[{"id":"https://openalex.org/I118020396","display_name":"Swarthmore College","ror":"https://ror.org/012dg8a96","country_code":"US","type":"education","lineage":["https://openalex.org/I118020396"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Cheryl Grood","raw_affiliation_strings":["Department of Mathematics and Statistics Swarthmore College, Swarthmore, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics Swarthmore College, Swarthmore, PA, USA","institution_ids":["https://openalex.org/I118020396"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5079722407"],"corresponding_institution_ids":["https://openalex.org/I118020396"],"apc_list":null,"apc_paid":null,"fwci":1.8296,"has_fulltext":true,"cited_by_count":33,"citation_normalized_percentile":{"value":0.8656535,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"9","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9987999796867371,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9984999895095825,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9977999925613403,"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/monoid","display_name":"Monoid","score":0.93498694896698},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6910312175750732},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.647037148475647},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.6460941433906555},{"id":"https://openalex.org/keywords/syntactic-monoid","display_name":"Syntactic monoid","score":0.5853419303894043},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.5357394218444824},{"id":"https://openalex.org/keywords/representation-theory","display_name":"Representation theory","score":0.4991028308868408},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.45122188329696655},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.44891342520713806},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.4252112805843353},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.4206286668777466},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3302994668483734},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19172120094299316}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.93498694896698},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6910312175750732},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.647037148475647},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.6460941433906555},{"id":"https://openalex.org/C119903167","wikidata":"https://www.wikidata.org/wiki/Q3321297","display_name":"Syntactic monoid","level":4,"score":0.5853419303894043},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.5357394218444824},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.4991028308868408},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.45122188329696655},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.44891342520713806},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.4252112805843353},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.4206286668777466},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3302994668483734},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19172120094299316},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/1619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:works.swarthmore.edu:fac-math-stat-1015","is_oa":false,"landing_page_url":"https://works.swarthmore.edu/fac-math-stat/16","pdf_url":null,"source":{"id":"https://openalex.org/S4377196506","display_name":"Works - Scholarship, Research, & Creative Expression (Swarthmore College)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I118020396","host_organization_name":"Swarthmore College","host_organization_lineage":["https://openalex.org/I118020396"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Mathematics & Statistics Faculty Works","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.4.4630","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.4.4630","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PostScriptfiles/v9i1r2.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.9.5087","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.9.5087","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.combinatorics.org/Volume_9/PDF/v9i1r2.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/1619","is_oa":true,"landing_page_url":"https://doi.org/10.37236/1619","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v9i1r2/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3000103748.pdf","grobid_xml":"https://content.openalex.org/works/W3000103748.grobid-xml"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1515753098","https://openalex.org/W2077301258","https://openalex.org/W2136515670","https://openalex.org/W2170474126","https://openalex.org/W2495029002"],"related_works":["https://openalex.org/W51936586","https://openalex.org/W3161268522","https://openalex.org/W3143205136","https://openalex.org/W2071633178","https://openalex.org/W2971508078","https://openalex.org/W2038387119","https://openalex.org/W3201418638","https://openalex.org/W2263343498","https://openalex.org/W4307298810","https://openalex.org/W4288099515"],"abstract_inverted_index":{"The":[0],"wealth":[1],"of":[2,11,24,44,48,80],"beautiful":[3],"combinatorics":[4],"that":[5,65],"arise":[6],"in":[7,69],"the":[8,12,22,30,45,49,53,57,66,76,81,85],"representation":[9],"theory":[10],"symmetric":[13,58],"group":[14],"is":[15,61,72],"well-known.":[16],"In":[17,37],"this":[18,70],"paper,":[19],"we":[20,39],"analyze":[21],"representations":[23,47],"a":[25,34,41],"related":[26],"algebraic":[27],"structure":[28],"called":[29],"rook":[31,50,54],"monoid":[32,55],"from":[33],"combinatorial":[35,42,78],"angle.":[36],"particular,":[38],"give":[40],"construction":[43,67,79],"irreducible":[46,82],"monoid.":[51],"Since":[52],"contains":[56],"group,":[59],"it":[60],"perhaps":[62],"not":[63],"surprising":[64],"outlined":[68],"paper":[71],"very":[73],"similar":[74],"to":[75],"classic":[77],"$S_n$-representations:":[83],"namely,":[84],"Specht":[86],"modules.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}