{"id":"https://openalex.org/W7148468533","doi":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","title":"Deux exemples d'alg\u00e8bres de Hopf d'extraction-contraction : mots tass\u00e9s et diagrammes de dissection","display_name":"Deux exemples d'alg\u00e8bres de Hopf d'extraction-contraction : mots tass\u00e9s et diagrammes de dissection","publication_year":2017,"publication_date":"2017-11-27","ids":{"openalex":"https://openalex.org/W7148468533","doi":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","mag":"2777077443"},"language":"fr","primary_location":{"id":"doi:10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","doi":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","is_oa":false,"landing_page_url":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","pdf_url":null,"source":{"id":"https://openalex.org/S4406923047","display_name":"theses.fr (ABES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Littoral","raw_type":"dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://theses.hal.science/tel-01729065/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072800452","display_name":"C\u00e9cile Mammez","orcid":"https://orcid.org/0000-0001-7021-5451","observed_orcids":["https://orcid.org/0000-0001-7021-5451"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ce\u0301cile Mammez","raw_affiliation_strings":["Littoral"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Littoral","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5072800452"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"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":0.9375,"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":0.9375,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.05999999865889549,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.0008999999845400453,"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/hopf-algebras","display_name":"Hopf algebras","score":0.9620000123977661},{"id":"https://openalex.org/keywords/noncommutative-symmetric-functions","display_name":"noncommutative symmetric functions","score":0.7490000128746033},{"id":"https://openalex.org/keywords/quasisymmetric-functions","display_name":"quasisymmetric functions","score":0.9020000100135803},{"id":"https://openalex.org/keywords/pre-lie-algebras","display_name":"pre-Lie algebras","score":0.8360000252723694},{"id":"https://openalex.org/keywords/primitive-elements","display_name":"primitive elements","score":0.7549999952316284}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5730999708175659},{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.4406999945640564},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3531999886035919},{"id":"https://openalex.org/C172435161","wikidata":"https://www.wikidata.org/wiki/Q531126","display_name":"Hopf bifurcation","level":4,"score":0.29760000109672546},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2736000120639801},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2702000141143799},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.26249998807907104},{"id":"https://openalex.org/C146834321","wikidata":"https://www.wikidata.org/wiki/Q2979672","display_name":"Closure (psychology)","level":2,"score":0.24789999425411224},{"id":"https://openalex.org/C117160843","wikidata":"https://www.wikidata.org/wiki/Q338652","display_name":"Sublinear function","level":2,"score":0.2395000010728836},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.2159000039100647}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","doi":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","is_oa":false,"landing_page_url":"https://doi.org/10.70675/c66e7d7az68c5z4811zb795z349dfdacf869","pdf_url":null,"source":{"id":"https://openalex.org/S4406923047","display_name":"theses.fr (ABES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Littoral","raw_type":"dissertation"},{"id":"pmh:2017DUNK0459","doi":null,"is_oa":true,"landing_page_url":"http://www.theses.fr/2017DUNK0459/document","pdf_url":"https://theses.hal.science/tel-01729065/document","source":{"id":"https://openalex.org/S4406923047","display_name":"theses.fr (ABES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Electronic Thesis or Dissertation"},{"id":"pmh:oai:HAL:tel-01729065v1","doi":null,"is_oa":true,"landing_page_url":"https://theses.hal.science/tel-01729065","pdf_url":"https://theses.hal.science/tel-01729065v1/document","source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatoire [math.CO]. Universit\u00e9 du Littoral C\u00f4te d'Opale, 2017. Fran\u00e7ais. &#x27E8;NNT : 2017DUNK0459&#x27E9;","raw_type":"info:eu-repo/semantics/doctoralThesis"},{"id":"mag:2777077443","doi":null,"is_oa":false,"landing_page_url":"https://tel.archives-ouvertes.fr/tel-01729065","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:2017DUNK0459","doi":null,"is_oa":true,"landing_page_url":"http://www.theses.fr/2017DUNK0459/document","pdf_url":"https://theses.hal.science/tel-01729065/document","source":{"id":"https://openalex.org/S4406923047","display_name":"theses.fr (ABES)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Electronic Thesis or Dissertation"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7148468533.pdf","grobid_xml":"https://content.openalex.org/works/W7148468533.grobid-xml"},"referenced_works_count":76,"referenced_works":["https://openalex.org/W131742520","https://openalex.org/W154636374","https://openalex.org/W643620113","https://openalex.org/W1209504108","https://openalex.org/W1500084468","https://openalex.org/W1567985745","https://openalex.org/W1571192943","https://openalex.org/W1659648688","https://openalex.org/W1667848118","https://openalex.org/W1928040250","https://openalex.org/W1969587455","https://openalex.org/W1971509177","https://openalex.org/W1976871010","https://openalex.org/W1983373140","https://openalex.org/W1985467287","https://openalex.org/W1988729138","https://openalex.org/W1990056107","https://openalex.org/W1996204119","https://openalex.org/W2001918925","https://openalex.org/W2004179179","https://openalex.org/W2006279941","https://openalex.org/W2010073471","https://openalex.org/W2013502334","https://openalex.org/W2017670293","https://openalex.org/W2019582080","https://openalex.org/W2022152671","https://openalex.org/W2024716231","https://openalex.org/W2036373822","https://openalex.org/W2038966162","https://openalex.org/W2039856880","https://openalex.org/W2041189924","https://openalex.org/W2043056264","https://openalex.org/W2044875062","https://openalex.org/W2049664456","https://openalex.org/W2051979364","https://openalex.org/W2052452767","https://openalex.org/W2056072552","https://openalex.org/W2057621580","https://openalex.org/W2068842685","https://openalex.org/W2069711351","https://openalex.org/W2074700042","https://openalex.org/W2077309624","https://openalex.org/W2077583969","https://openalex.org/W2078340883","https://openalex.org/W2083878757","https://openalex.org/W2094508920","https://openalex.org/W2096591877","https://openalex.org/W2099789274","https://openalex.org/W2126692863","https://openalex.org/W2129650941","https://openalex.org/W2133465798","https://openalex.org/W2146838567","https://openalex.org/W2156466169","https://openalex.org/W2162305901","https://openalex.org/W2328632474","https://openalex.org/W2531028587","https://openalex.org/W2603860794","https://openalex.org/W2758581310","https://openalex.org/W2953349040","https://openalex.org/W2963023229","https://openalex.org/W2963373632","https://openalex.org/W2963501750","https://openalex.org/W2995799746","https://openalex.org/W3022960957","https://openalex.org/W3105584807","https://openalex.org/W4213161067","https://openalex.org/W4213360333","https://openalex.org/W4213365319","https://openalex.org/W4214903855","https://openalex.org/W4230453107","https://openalex.org/W4234736639","https://openalex.org/W4238232089","https://openalex.org/W4240341731","https://openalex.org/W4245583221","https://openalex.org/W4247689285","https://openalex.org/W4253545892"],"related_works":["https://openalex.org/W4392404922","https://openalex.org/W2787979572","https://openalex.org/W7146965592","https://openalex.org/W2758581310","https://openalex.org/W124219492","https://openalex.org/W7143648032","https://openalex.org/W7099267061","https://openalex.org/W2461141365","https://openalex.org/W7151751256","https://openalex.org/W4392497042"],"abstract_inverted_index":{"Ce":[0],"manuscrit":[1],"est":[2,17,95,121,135,170],"consacr\u00e9":[3],"\u00e0":[4,123,138,251],"l'\u00e9tude":[5],"de":[6,9,12,19,21,38,59,66,75,82,92,98,100,109,116,125,140,150,152,160,164,172,174,176,190,195,207,213,230,249,261,263],"la":[7,34,90,117,193,222,238,252],"combinatoire":[8],"deux":[10],"alg\u00e8bres":[11,58],"Hopf":[13,20,110,126,141,151,173],"d'extraction-contraction.":[14],"La":[15,202],"premi\u00e8re":[16],"l'alg\u00e8bre":[18,93,124,139,171],"mots":[22,43,114],"tass\u00e9s":[23,115],"WMat":[24],"introduite":[25,179],"par":[26,77,112,180,258],"Duchamp,":[27],"Hoang-Nghia":[28],"et":[29,79,102,154],"Tanasa":[30],"dont":[31,68],"l'objectif":[32],"\u00e9tait":[33],"construction":[35],"d'un":[36],"mod\u00e8le":[37],"coproduit":[39,74,161],"d'extraction-contraction":[40],"pour":[41],"les":[42,113],"tass\u00e9s.":[44],"Nous":[45,104,145,186,235,245],"expliquons":[46],"certains":[47],"sous-objets":[48],"ou":[49],"objets":[50],"quotients":[51],"ainsi":[52],"que":[53],"des":[54,127,142,184,188,204],"applications":[55],"vers":[56],"d'autres":[57],"Hopf.":[60,165],"Ainsi,":[61],"nous":[62],"consid\u00e9rons":[63,146],"une":[64,107,148],"alg\u00e8bre":[65,108,149,267],"permutations":[67],"le":[69,225,228,247,259],"dual":[70,133,242],"gradu\u00e9":[71,243],"poss\u00e8de":[72],"un":[73,80],"d\u00e9concat\u00e9nation":[76],"blocs":[78],"produit":[81],"double":[83,87],"battage":[84,88],"d\u00e9cal\u00e9.":[85],"Le":[86,166,215],"engendre":[89],"commutativit\u00e9":[91],"qui":[94],"donc":[96,136],"distincte":[97],"celle":[99],"Malvenuto":[101],"Reutenauer.":[103],"introduisons":[105],"\u00e9galement":[106,147,237],"engendr\u00e9e":[111,257],"forme":[118],"x\u2081...x\u2081.":[119],"Elle":[120],"isomorphe":[122,137],"fonctions":[128,143],"sym\u00e9triques":[129],"non":[130,255],"commutatives.":[131],"Son":[132],"grad\u00e9":[134],"quasi-sym\u00e9triques.":[144],"compositions":[153],"donnons":[155],"son":[156],"interpr\u00e9tation":[157],"en":[158,182],"termes":[159],"semi-direct":[162],"d'alg\u00e8bres":[163],"deuxi\u00e8me":[167],"objet":[168],"d'\u00e9tude":[169],"diagrammes":[175],"dissection":[177,262],"HD":[178,231],"Dupont":[181],"th\u00e9orie":[183],"nombres.":[185],"cherchons":[187],"\u00e9l\u00e9ments":[189,205],"r\u00e9ponse":[191],"concernant":[192],"nature":[194],"sa":[196],"cog\u00e8bre":[197],"sous-jacente.":[198],"Est-elle":[199],"colibre":[200],"?":[201],"dimension":[203],"primitifs":[206],"degr\u00e9":[208,218,264],"3":[209],"ne":[210],"permet":[211,220],"pas":[212,270],"conclure.":[214],"cas":[216,226],"du":[217,241],"5":[219],"d'\u00e9tablir":[221],"non-colibert\u00e9":[223],"dans":[224],"o\u00f9":[227],"param\u00e8tre":[229],"vaut":[232],"-":[233],"1.":[234,265],"\u00e9tudions":[236],"structure":[239],"pr\u00e9-Lie":[240,254,268],"HD.":[244],"r\u00e9duisons":[246],"champ":[248],"recherche":[250],"sous-alg\u00e8bre":[253],"triviale":[256],"diagramme":[260],"Cette":[266],"n'est":[269],"libre.":[271]},"counts_by_year":[{"year":2018,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-04-03T00:00:00"}
