{"id":"https://openalex.org/W36875107","doi":"https://doi.org/10.48550/arxiv.1003.4191","title":"Cohomologie de Chevalley des graphes ascendants","display_name":"Cohomologie de Chevalley des graphes ascendants","publication_year":2010,"publication_date":"2010-03-22","ids":{"openalex":"https://openalex.org/W36875107","doi":"https://doi.org/10.48550/arxiv.1003.4191","mag":"36875107"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:1003.4191","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1003.4191","pdf_url":"https://arxiv.org/pdf/1003.4191","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1003.4191","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011983148","display_name":"Walid Aloulou","orcid":"https://orcid.org/0000-0002-5788-7437","observed_orcids":["https://orcid.org/0000-0002-5788-7437"]},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]}],"countries":["FR","TN"],"is_corresponding":false,"raw_author_name":"Aloulou, Walid","raw_affiliation_strings":["IMB","D\u00e9partement de Math\u00e9matiques, Unit\u00e9 de recherche Physique Math\u00e9matique (Avenue de l'Environnement, 5019 Monastir - Tunisia)","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMB","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Unit\u00e9 de recherche Physique Math\u00e9matique (Avenue de l'Environnement, 5019 Monastir - Tunisia)","institution_ids":["https://openalex.org/I166928557"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I177064439","https://openalex.org/I4210112333"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5043567345","display_name":"Didier Arnal","orcid":"https://orcid.org/0000-0001-5344-018X","observed_orcids":["https://orcid.org/0000-0001-5344-018X"]},"institutions":[{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arnal, Didier","raw_affiliation_strings":["IMB","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMB","institution_ids":[]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I177064439","https://openalex.org/I4210112333"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052861238","display_name":"Ridha Chatbouri","orcid":"https://orcid.org/0000-0002-9423-5358","observed_orcids":["https://orcid.org/0000-0002-9423-5358"]},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]},{"id":"https://openalex.org/I177064439","display_name":"Universit\u00e9 de Bourgogne","ror":"https://ror.org/03k1bsr36","country_code":"FR","type":"education","lineage":["https://openalex.org/I177064439","https://openalex.org/I4405253280"]},{"id":"https://openalex.org/I4210112333","display_name":"Institut de Math\u00e9matiques de Bourgogne","ror":"https://ror.org/021f0sa24","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210112333","https://openalex.org/I4405253280"]}],"countries":["FR","TN"],"is_corresponding":false,"raw_author_name":"Chatbouri, Ridha","raw_affiliation_strings":["IMB","D\u00e9partement de Math\u00e9matiques, Unit\u00e9 de recherche Physique Math\u00e9matique (Avenue de l'Environnement, 5019 Monastir - Tunisia)","IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMB","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement de Math\u00e9matiques, Unit\u00e9 de recherche Physique Math\u00e9matique (Avenue de l'Environnement, 5019 Monastir - Tunisia)","institution_ids":["https://openalex.org/I166928557"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bourgogne [Dijon] (Universit\u00e9 de Bourgogne - 9, avenue Alain Savary - B.P. 47 870 - 21078 Dijon Cedex - France)","institution_ids":["https://openalex.org/I177064439","https://openalex.org/I4210112333"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.8755000233650208,"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"}},"topics":[{"id":"https://openalex.org/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.8755000233650208,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.11190000176429749,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.001500000013038516,"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/schouten-bracket","display_name":"Schouten bracket","score":0.8399999737739563},{"id":"https://openalex.org/keywords/polyvector-fields","display_name":"polyvector fields","score":0.8420000076293945},{"id":"https://openalex.org/keywords/adjoint-representation","display_name":"adjoint representation","score":0.6510000228881836},{"id":"https://openalex.org/keywords/lie-algebra-cohomology","display_name":"Lie algebra cohomology","score":0.6620000004768372}],"concepts":[{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.76891028881073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7328948974609375},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.6732281446456909},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.6490211486816406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5400887131690979},{"id":"https://openalex.org/C133769200","wikidata":"https://www.wikidata.org/wiki/Q174565","display_name":"Bracket","level":2,"score":0.5367380976676941},{"id":"https://openalex.org/C51255310","wikidata":"https://www.wikidata.org/wiki/Q1163016","display_name":"Tensor product","level":2,"score":0.49953222274780273},{"id":"https://openalex.org/C169982404","wikidata":"https://www.wikidata.org/wiki/Q6543816","display_name":"Lie coalgebra","level":5,"score":0.44503745436668396},{"id":"https://openalex.org/C155281189","wikidata":"https://www.wikidata.org/wiki/Q3518150","display_name":"Tensor (intrinsic definition)","level":2,"score":0.4254812002182007},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.37501150369644165},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3593083918094635},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.24767827987670898},{"id":"https://openalex.org/C203946495","wikidata":"https://www.wikidata.org/wiki/Q1017106","display_name":"Adjoint representation of a Lie algebra","level":4,"score":0.21090689301490784},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical 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":3,"locations":[{"id":"pmh:oai:arXiv.org:1003.4191","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1003.4191","pdf_url":"https://arxiv.org/pdf/1003.4191","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},{"id":"pmh:oai:HAL:hal-00465530v1","doi":null,"is_oa":true,"landing_page_url":"https://hal.science/hal-00465530","pdf_url":null,"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":"2010","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.1003.4191","doi":"https://doi.org/10.48550/arxiv.1003.4191","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1003.4191","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1003.4191","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/1003.4191","pdf_url":"https://arxiv.org/pdf/1003.4191","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W36875107.pdf","grobid_xml":"https://content.openalex.org/works/W36875107.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1534043326","https://openalex.org/W1968380471","https://openalex.org/W2001893987","https://openalex.org/W2028903683","https://openalex.org/W2064540682","https://openalex.org/W2071417479","https://openalex.org/W2160906939","https://openalex.org/W2462184183"],"related_works":["https://openalex.org/W2030691408","https://openalex.org/W2028903683","https://openalex.org/W2064540682","https://openalex.org/W2160906939","https://openalex.org/W2283315408","https://openalex.org/W2011734661","https://openalex.org/W4256111973","https://openalex.org/W281134597","https://openalex.org/W2205526316","https://openalex.org/W4298305301"],"abstract_inverted_index":{"The":[0,20],"space":[1],"$T_{poly}(\\mathbb":[2,30,49],"R^d)$":[3],"of":[4,22,29,39,43,69,92],"all":[5,89],"tensor":[6],"fields":[7],"on":[8],"$\\mathbb":[9],"R^d$,":[10],"equipped":[11],"with":[12],"the":[13,37,40,79,83,90],"Schouten":[14],"bracket":[15],"is":[16,25,85],"a":[17,26],"Lie":[18,27],"algebra.":[19],"subspace":[21],"ascending":[23],"tensors":[24],"subalgebra":[28],"R^d)$.":[31],"In":[32],"this":[33,44],"paper,":[34],"we":[35,52],"compute":[36],"cohomology":[38,84],"adjoint":[41],"representations":[42],"algebra":[45],"(in":[46],"itself":[47],"and":[48],"R^d)$),":[50],"when":[51],"restrict":[53],"ourselves":[54],"to":[55],"cochains":[56],"defined":[57],"by":[58,88],"aerial":[59],"Kontsevitch's":[60],"graphs":[61,81],"like":[62],"in":[63,78],"our":[64],"previous":[65],"work":[66],"(Pacific":[67],"J":[68],"Math,":[70],"vol":[71],"229,":[72],"no":[73],"2,":[74],"(2007)":[75],"257-292).":[76],"As":[77],"vectorial":[80],"case,":[82],"freely":[86],"generated":[87],"products":[91],"odd":[93],"wheels.":[94]},"counts_by_year":[],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}