{"id":"https://openalex.org/W2963571551","doi":"https://doi.org/10.37236/87","title":"Superization and $(q,t)$-Specialization in Combinatorial Hopf Algebras","display_name":"Superization and $(q,t)$-Specialization in Combinatorial Hopf Algebras","publication_year":2009,"publication_date":"2009-09-04","ids":{"openalex":"https://openalex.org/W2963571551","doi":"https://doi.org/10.37236/87","mag":"2963571551"},"language":"en","primary_location":{"id":"doi:10.37236/87","is_oa":true,"landing_page_url":"https://doi.org/10.37236/87","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i2r21/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":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":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i2r21/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051272665","display_name":"Jean-Christophe Novelli","orcid":null},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Christophe Novelli","raw_affiliation_strings":["Universit Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Valle cedex 2, FRANCE","Universit\u00e9 Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e cedex 2, FRANCE"],"affiliations":[{"raw_affiliation_string":"Universit Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Valle cedex 2, FRANCE","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e cedex 2, FRANCE","institution_ids":["https://openalex.org/I4210152518"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085392129","display_name":"Jean\u2010Yves Thibon","orcid":"https://orcid.org/0000-0002-8976-4044"},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Yves Thibon","raw_affiliation_strings":["Universit Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Valle cedex 2, FRANCE","Universit\u00e9 Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e cedex 2, FRANCE"],"affiliations":[{"raw_affiliation_string":"Universit Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Valle cedex 2, FRANCE","institution_ids":["https://openalex.org/I4210152518"]},{"raw_affiliation_string":"Universit\u00e9 Paris-Est, Institut Gaspard Monge 5, Boulevard Descartes, Champs-sur-Marne 77454 Marne-la-Vall\u00e9e cedex 2, FRANCE","institution_ids":["https://openalex.org/I4210152518"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051272665"],"corresponding_institution_ids":["https://openalex.org/I4210152518"],"apc_list":null,"apc_paid":null,"fwci":2.3671,"has_fulltext":true,"cited_by_count":12,"citation_normalized_percentile":{"value":0.88009675,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"2","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":0.9998999834060669,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998000264167786,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/hopf-algebra","display_name":"Hopf algebra","score":0.7990438342094421},{"id":"https://openalex.org/keywords/hook","display_name":"Hook","score":0.6593456268310547},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6058031320571899},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6007975935935974},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.5509733557701111},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5204234719276428},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4808407723903656},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4497626721858978},{"id":"https://openalex.org/keywords/combinatorial-method","display_name":"Combinatorial method","score":0.4363112449645996},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.21770405769348145},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14450383186340332},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08386486768722534}],"concepts":[{"id":"https://openalex.org/C29712632","wikidata":"https://www.wikidata.org/wiki/Q1627597","display_name":"Hopf algebra","level":3,"score":0.7990438342094421},{"id":"https://openalex.org/C2777586403","wikidata":"https://www.wikidata.org/wiki/Q4243098","display_name":"Hook","level":2,"score":0.6593456268310547},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6058031320571899},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6007975935935974},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.5509733557701111},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5204234719276428},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4808407723903656},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4497626721858978},{"id":"https://openalex.org/C2779521423","wikidata":"https://www.wikidata.org/wiki/Q3855646","display_name":"Combinatorial method","level":2,"score":0.4363112449645996},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.21770405769348145},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14450383186340332},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08386486768722534},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/87","is_oa":true,"landing_page_url":"https://doi.org/10.37236/87","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i2r21/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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/87","is_oa":true,"landing_page_url":"https://doi.org/10.37236/87","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v16i2r21/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":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":[{"id":"https://openalex.org/G1224521176","display_name":null,"funder_award_id":"ANR-06-BLAN-0380","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2963571551.pdf","grobid_xml":"https://content.openalex.org/works/W2963571551.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1524934682","https://openalex.org/W1528558865","https://openalex.org/W1608296274","https://openalex.org/W1642015818","https://openalex.org/W1741476156","https://openalex.org/W1966547931","https://openalex.org/W1987721903","https://openalex.org/W1993986493","https://openalex.org/W1996204119","https://openalex.org/W1998484626","https://openalex.org/W1998784093","https://openalex.org/W1998860627","https://openalex.org/W2000590464","https://openalex.org/W2007566117","https://openalex.org/W2033304751","https://openalex.org/W2038966162","https://openalex.org/W2043056264","https://openalex.org/W2047773592","https://openalex.org/W2057621580","https://openalex.org/W2058773342","https://openalex.org/W2060066939","https://openalex.org/W2060399644","https://openalex.org/W2061219385","https://openalex.org/W2069711351","https://openalex.org/W2094508920","https://openalex.org/W2099823547","https://openalex.org/W2134984950","https://openalex.org/W2145596344","https://openalex.org/W2148474862","https://openalex.org/W2155975910","https://openalex.org/W2314376244","https://openalex.org/W2752061190","https://openalex.org/W2949176902","https://openalex.org/W2951839362","https://openalex.org/W2952622002","https://openalex.org/W2963339095","https://openalex.org/W4293529051","https://openalex.org/W4299719677","https://openalex.org/W6600512030","https://openalex.org/W6607049896"],"related_works":["https://openalex.org/W4205506206","https://openalex.org/W2373675167","https://openalex.org/W2380133840","https://openalex.org/W4235758934","https://openalex.org/W2381966583","https://openalex.org/W2952407877","https://openalex.org/W1966803635","https://openalex.org/W3106080167","https://openalex.org/W4294945547","https://openalex.org/W3059919174"],"abstract_inverted_index":{"We":[0],"extend":[1],"a":[2],"classical":[3],"construction":[4],"on":[5],"symmetric":[6],"functions,":[7],"the":[8,20,24,30,38],"superization":[9],"process,":[10],"to":[11],"several":[12],"combinatorial":[13],"Hopf":[14],"algebras,":[15],"and":[16,45],"obtain":[17],"analogs":[18],"of":[19,26,37],"hook-content":[21],"formula":[22],"for":[23,42,48],"$(q,t)$-specializations":[25],"various":[27],"bases.":[28],"Exploiting":[29],"dendriform":[31],"structures":[32],"yields":[33],"in":[34],"particular":[35],"$(q,t)$-analogs":[36],"Bj\u00f6rner-Wachs":[39],"$q$-hook-length":[40],"formulas":[41,47],"binary":[43],"trees,":[44],"similar":[46],"plane":[49],"trees.":[50]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
