{"id":"https://openalex.org/W4376616812","doi":"https://doi.org/10.1007/s11083-023-09632-y","title":"Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups","display_name":"Characteristic Polynomials of the Weak Order on Classical and Affine Coxeter Groups","publication_year":2023,"publication_date":"2023-05-13","ids":{"openalex":"https://openalex.org/W4376616812","doi":"https://doi.org/10.1007/s11083-023-09632-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11083-023-09632-y","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11083-023-09632-y","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","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/A5000089868","display_name":"Jang Soo Kim","orcid":"https://orcid.org/0000-0002-6397-9477"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jang Soo Kim","raw_affiliation_strings":["Department of Mathematics, Sungkyunkwan University, Suwon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sungkyunkwan University, Suwon, South Korea","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084305507","display_name":"Sun-Mi Yun","orcid":"https://orcid.org/0000-0002-3988-2675"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sun-mi Yun","raw_affiliation_strings":["Department of Mathematics, Sungkyunkwan University, Suwon, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Sungkyunkwan University, Suwon, South Korea","institution_ids":["https://openalex.org/I848706"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5000089868"],"corresponding_institution_ids":["https://openalex.org/I848706"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12967914,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"41","issue":"2","first_page":"319","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9854999780654907,"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":0.982200026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/coxeter-group","display_name":"Coxeter group","score":0.9428319334983826},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.898903489112854},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6106772422790527},{"id":"https://openalex.org/keywords/coxeter-complex","display_name":"Coxeter complex","score":0.6062732934951782},{"id":"https://openalex.org/keywords/point-group","display_name":"Point group","score":0.5959978103637695},{"id":"https://openalex.org/keywords/artin-group","display_name":"Artin group","score":0.5520459413528442},{"id":"https://openalex.org/keywords/coxeter-element","display_name":"Coxeter element","score":0.5443248152732849},{"id":"https://openalex.org/keywords/bruhat-order","display_name":"Bruhat order","score":0.48278677463531494},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.47583842277526855},{"id":"https://openalex.org/keywords/corollary","display_name":"Corollary","score":0.4333415925502777},{"id":"https://openalex.org/keywords/longest-element-of-a-coxeter-group","display_name":"Longest element of a Coxeter group","score":0.4238308370113373},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3560639023780823},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3297257125377655}],"concepts":[{"id":"https://openalex.org/C143669375","wikidata":"https://www.wikidata.org/wiki/Q7874246","display_name":"Coxeter group","level":2,"score":0.9428319334983826},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.898903489112854},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6106772422790527},{"id":"https://openalex.org/C37486056","wikidata":"https://www.wikidata.org/wiki/Q5179939","display_name":"Coxeter complex","level":4,"score":0.6062732934951782},{"id":"https://openalex.org/C57796230","wikidata":"https://www.wikidata.org/wiki/Q899720","display_name":"Point group","level":2,"score":0.5959978103637695},{"id":"https://openalex.org/C201064014","wikidata":"https://www.wikidata.org/wiki/Q3956993","display_name":"Artin group","level":3,"score":0.5520459413528442},{"id":"https://openalex.org/C140860697","wikidata":"https://www.wikidata.org/wiki/Q5179941","display_name":"Coxeter element","level":3,"score":0.5443248152732849},{"id":"https://openalex.org/C177274530","wikidata":"https://www.wikidata.org/wiki/Q4978697","display_name":"Bruhat order","level":3,"score":0.48278677463531494},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.47583842277526855},{"id":"https://openalex.org/C2780012671","wikidata":"https://www.wikidata.org/wiki/Q1343870","display_name":"Corollary","level":2,"score":0.4333415925502777},{"id":"https://openalex.org/C48495023","wikidata":"https://www.wikidata.org/wiki/Q6673739","display_name":"Longest element of a Coxeter group","level":5,"score":0.4238308370113373},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3560639023780823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3297257125377655}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11083-023-09632-y","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1007/s11083-023-09632-y","pdf_url":null,"source":{"id":"https://openalex.org/S121371512","display_name":"Order","issn_l":"0167-8094","issn":["0167-8094","1572-9273"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Order","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W43170384","https://openalex.org/W1554645347","https://openalex.org/W2008271676","https://openalex.org/W2009190506","https://openalex.org/W2046389838","https://openalex.org/W2062911855","https://openalex.org/W2150710569","https://openalex.org/W2158959301","https://openalex.org/W2405154940","https://openalex.org/W2608666998","https://openalex.org/W2989776118","https://openalex.org/W2991279375","https://openalex.org/W3105827076","https://openalex.org/W3202338398","https://openalex.org/W4226380907","https://openalex.org/W4242999670"],"related_works":["https://openalex.org/W2036064135","https://openalex.org/W2179621644","https://openalex.org/W4300092001","https://openalex.org/W2280249789","https://openalex.org/W2963299623","https://openalex.org/W2298670852","https://openalex.org/W2952861003","https://openalex.org/W145531765","https://openalex.org/W2744821933","https://openalex.org/W2963861076"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-12-24T23:09:58.560324","created_date":"2025-10-10T00:00:00"}