{"id":"https://openalex.org/W2903172505","doi":"https://doi.org/10.1142/s0218196720500514","title":"Characters of Renner monoids and their Hecke algebras","display_name":"Characters of Renner monoids and their Hecke algebras","publication_year":2020,"publication_date":"2020-07-11","ids":{"openalex":"https://openalex.org/W2903172505","doi":"https://doi.org/10.1142/s0218196720500514","mag":"2903172505"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196720500514","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500514","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1811.12343","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5062897803","display_name":"Andy Hardt","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Andrew Hardt","raw_affiliation_strings":["Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA","Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073966072","display_name":"Jared Marx-Kuo","orcid":"https://orcid.org/0000-0003-1686-1019"},"institutions":[{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jared Marx-Kuo","raw_affiliation_strings":["Department of Mathematics, Stanford University, Stanford, CA 94305, USA","Department of Mathematics; Stanford University; Stanford CA 94305 USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Stanford University, Stanford, CA 94305, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Department of Mathematics; Stanford University; Stanford CA 94305 USA","institution_ids":["https://openalex.org/I97018004"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001121133","display_name":"Vaughan McDonald","orcid":null},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vaughan McDonald","raw_affiliation_strings":["Department of Mathematics, Harvard University, Cambridge, MA 02138, USA","Department of Mathematics, Harvard University, Cambridge, MA 02138, USA ("],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvard University, Cambridge, MA 02138, USA","institution_ids":["https://openalex.org/I136199984"]},{"raw_affiliation_string":"Department of Mathematics, Harvard University, Cambridge, MA 02138, USA (","institution_ids":["https://openalex.org/I136199984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101045223","display_name":"John O'Brien","orcid":null},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"John M. O\u2019Brien","raw_affiliation_strings":["Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA","Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA","institution_ids":["https://openalex.org/I130238516"]},{"raw_affiliation_string":"Department of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA#TAB#","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068754261","display_name":"Alexander Vetter","orcid":null},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexander Vetter","raw_affiliation_strings":["Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USA","Department of Mathematics University of Pennsylvania Philadelphia, PA 19104, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Mathematics University of Pennsylvania Philadelphia, PA 19104, USA","institution_ids":["https://openalex.org/I79576946"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5062897803"],"corresponding_institution_ids":["https://openalex.org/I130238516"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03485293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"07","first_page":"1505","last_page":"1535"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998000264167786,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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":0.9126324653625488},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7501378059387207},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.7386083602905273},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.604148268699646},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.602202296257019},{"id":"https://openalex.org/keywords/free-monoid","display_name":"Free monoid","score":0.5147114396095276},{"id":"https://openalex.org/keywords/hecke-algebra","display_name":"Hecke algebra","score":0.5052958130836487},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.49516573548316956},{"id":"https://openalex.org/keywords/character-table","display_name":"Character table","score":0.4813545346260071},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.46479979157447815},{"id":"https://openalex.org/keywords/syntactic-monoid","display_name":"Syntactic monoid","score":0.4296761453151703},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09436452388763428}],"concepts":[{"id":"https://openalex.org/C206901836","wikidata":"https://www.wikidata.org/wiki/Q208237","display_name":"Monoid","level":2,"score":0.9126324653625488},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7501378059387207},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.7386083602905273},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.604148268699646},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.602202296257019},{"id":"https://openalex.org/C149685015","wikidata":"https://www.wikidata.org/wiki/Q5500266","display_name":"Free monoid","level":3,"score":0.5147114396095276},{"id":"https://openalex.org/C2781280181","wikidata":"https://www.wikidata.org/wiki/Q48970267","display_name":"Hecke algebra","level":3,"score":0.5052958130836487},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.49516573548316956},{"id":"https://openalex.org/C123458925","wikidata":"https://www.wikidata.org/wiki/Q11498021","display_name":"Character table","level":3,"score":0.4813545346260071},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.46479979157447815},{"id":"https://openalex.org/C119903167","wikidata":"https://www.wikidata.org/wiki/Q3321297","display_name":"Syntactic monoid","level":4,"score":0.4296761453151703},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09436452388763428},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"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/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196720500514","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196720500514","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"},{"id":"pmh:oai:arXiv.org:1811.12343","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.12343","pdf_url":"https://arxiv.org/pdf/1811.12343","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2903172505","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1811.12343.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1811.12343","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1811.12343","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1811.12343","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1811.12343","pdf_url":"https://arxiv.org/pdf/1811.12343","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2903172505.pdf","grobid_xml":"https://content.openalex.org/works/W2903172505.grobid-xml"},"referenced_works_count":24,"referenced_works":["https://openalex.org/W34085006","https://openalex.org/W96893434","https://openalex.org/W115229829","https://openalex.org/W432292965","https://openalex.org/W1516372139","https://openalex.org/W1569820777","https://openalex.org/W1588115473","https://openalex.org/W1986257781","https://openalex.org/W2000199934","https://openalex.org/W2027534442","https://openalex.org/W2037269616","https://openalex.org/W2044138171","https://openalex.org/W2055206750","https://openalex.org/W2072482287","https://openalex.org/W2077301258","https://openalex.org/W2129658338","https://openalex.org/W2136515670","https://openalex.org/W2260338458","https://openalex.org/W2477195016","https://openalex.org/W2900003331","https://openalex.org/W2962872194","https://openalex.org/W2963621969","https://openalex.org/W2999934159","https://openalex.org/W4237383417"],"related_works":["https://openalex.org/W2024497755","https://openalex.org/W2065335667","https://openalex.org/W1740200234","https://openalex.org/W2078376848","https://openalex.org/W2918297996","https://openalex.org/W2067462081","https://openalex.org/W2952242272","https://openalex.org/W3135621364","https://openalex.org/W2131032294","https://openalex.org/W2780531416","https://openalex.org/W2042175345","https://openalex.org/W2951259423","https://openalex.org/W3102132009","https://openalex.org/W2073880168","https://openalex.org/W3022065393","https://openalex.org/W2086078223","https://openalex.org/W2124322517","https://openalex.org/W3106124806","https://openalex.org/W1664534037","https://openalex.org/W1595981950"],"abstract_inverted_index":{"This":[0],"paper":[1],"gives":[2],"a":[3],"general":[4],"algorithm":[5],"for":[6,82,105],"computing":[7],"the":[8,27,34,38,42,75,83,102,106],"character":[9,31,103],"table":[10,32,104],"of":[11,22,33,37,65,70,101],"any":[12],"Renner":[13,48,111],"monoid":[14,40,112],"Hecke":[15,35,113],"algebra,":[16],"by":[17,53],"adapting":[18],"and":[19,68,85,93],"generalizing":[20],"techniques":[21],"Solomon":[23],"used":[24],"to":[25,74,96],"study":[26],"rook":[28,39],"monoid.":[29],"The":[30],"algebra":[36],"(i.e.":[41],"Cartan":[43,88],"type":[44,89,107],"[Formula:":[45,90,108],"see":[46,91,109],"text]":[47,92,110],"monoid)":[49],"was":[50],"computed":[51],"earlier":[52],"Dieng":[54],"et":[55],"al.":[56],"[2],":[57],"using":[58],"different":[59],"methods.":[60],"Our":[61],"approach":[62],"uses":[63],"analogues":[64],"so-called":[66],"A-":[67,84],"B-matrices":[69,86],"Solomon.":[71],"In":[72],"addition":[73],"algorithm,":[76],"we":[77],"give":[78],"explicit":[79,99],"combinatorial":[80],"formulas":[81],"in":[87],"use":[94],"them":[95],"obtain":[97],"an":[98],"description":[100],"algebra.":[114]},"counts_by_year":[],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}