{"id":"https://openalex.org/W4226149333","doi":"https://doi.org/10.37236/11126","title":"Combinatorics of Centers of 0-Hecke Algebras in Type A","display_name":"Combinatorics of Centers of 0-Hecke Algebras in Type A","publication_year":2023,"publication_date":"2023-08-11","ids":{"openalex":"https://openalex.org/W4226149333","doi":"https://doi.org/10.37236/11126"},"language":"en","primary_location":{"id":"doi:10.37236/11126","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11126","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p16/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p16/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057743956","display_name":"S. K\u00f6nig","orcid":"https://orcid.org/0000-0002-4954-0548"},"institutions":[{"id":"https://openalex.org/I114112103","display_name":"Leibniz University Hannover","ror":"https://ror.org/0304hq317","country_code":"DE","type":"education","lineage":["https://openalex.org/I114112103"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Sebastian K\u00f6nig","raw_affiliation_strings":["Institute of Algebra, Number Theory and Discrete Mathematics, Leibniz University Hannover"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Algebra, Number Theory and Discrete Mathematics, Leibniz University Hannover","institution_ids":["https://openalex.org/I114112103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057743956"],"corresponding_institution_ids":["https://openalex.org/I114112103"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03576642,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"30","issue":"3","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":0.9950000047683716,"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":0.9950000047683716,"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/T11419","display_name":"Supramolecular Self-Assembly in Materials","score":0.9837999939918518,"subfield":{"id":"https://openalex.org/subfields/2502","display_name":"Biomaterials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10432","display_name":"DNA and Nucleic Acid Chemistry","score":0.9656000137329102,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/coxeter-group","display_name":"Coxeter group","score":0.9176554083824158},{"id":"https://openalex.org/keywords/hecke-algebra","display_name":"Hecke algebra","score":0.8896682262420654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8010398149490356},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5644537210464478},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.536684513092041},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5358492136001587},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.4987916946411133},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.47968482971191406},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.46390458941459656},{"id":"https://openalex.org/keywords/symmetric-group","display_name":"Symmetric group","score":0.46323129534721375},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.44367340207099915},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3492752015590668},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07600080966949463}],"concepts":[{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.9176554083824158},{"id":"https://openalex.org/C2781280181","wikidata":"https://www.wikidata.org/wiki/Q48970267","display_name":"Hecke algebra","level":3,"score":0.8896682262420654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8010398149490356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5644537210464478},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.536684513092041},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5358492136001587},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.4987916946411133},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.47968482971191406},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.46390458941459656},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"score":0.46323129534721375},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44367340207099915},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3492752015590668},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07600080966949463},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"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/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/11126","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11126","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p16/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2112.01768","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2112.01768","pdf_url":"https://arxiv.org/pdf/2112.01768","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":"doi:10.48550/arxiv.2112.01768","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2112.01768","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":"Preprint"},{"id":"doi:10.15488/19595","is_oa":true,"landing_page_url":"https://doi.org/10.15488/19595","pdf_url":null,"source":{"id":"https://openalex.org/S7407052956","display_name":"Leibniz Universit\u00e4t Hannover","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"JournalArticle"}],"best_oa_location":{"id":"doi:10.37236/11126","is_oa":true,"landing_page_url":"http://dx.doi.org/10.37236/11126","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v30i3p16/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":true,"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4226149333.pdf"},"referenced_works_count":2,"referenced_works":["https://openalex.org/W6600586173","https://openalex.org/W6601437556"],"related_works":["https://openalex.org/W43363152","https://openalex.org/W43701934","https://openalex.org/W49469561","https://openalex.org/W38983257","https://openalex.org/W15564933","https://openalex.org/W4578892","https://openalex.org/W65820270","https://openalex.org/W54355685","https://openalex.org/W54864653","https://openalex.org/W36052578"],"abstract_inverted_index":{"A":[0],"basis":[1,22],"of":[2,5,9,28,35,43,53,55,67],"the":[3,6,29,36,56,78,85],"center":[4],"0-Hecke":[7],"algebra":[8],"an":[10,73],"arbitrary":[11],"finite":[12],"Coxeter":[13,30],"group":[14,38],"was":[15],"described":[16],"by":[17,64,84],"He":[18],"in":[19],"2015.":[20],"This":[21,59],"corresponds":[23],"to":[24],"certain":[25,65],"equivalence":[26,57,79],"classes":[27,80],"group.":[31],"We":[32,71],"consider":[33],"case":[34],"symmetric":[37],"$S_n$.":[39],"Building":[40],"on":[41],"work":[42],"Geck,":[44],"Kim":[45],"and":[46],"Pfeiffer,":[47],"we":[48],"obtain":[49],"a":[50,92],"complete":[51],"set":[52,60],"representatives":[54],"classes.":[58],"is":[61],"naturally":[62],"parametrized":[63,83],"compositions":[66,87],"$n$":[68],"called":[69],"maximal.":[70],"develop":[72],"explicit":[74],"combinatorial":[75],"description":[76],"for":[77],"that":[81],"are":[82],"maximal":[86],"whose":[88],"odd":[89],"parts":[90],"form":[91],"hook.":[93]},"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2022-05-05T00:00:00"}