{"id":"https://openalex.org/W1970900656","doi":"https://doi.org/10.4171/jems/139","title":"Deformations of Lie brackets: cohomological aspects","display_name":"Deformations of Lie brackets: cohomological aspects","publication_year":2008,"publication_date":"2008-12-31","ids":{"openalex":"https://openalex.org/W1970900656","doi":"https://doi.org/10.4171/jems/139","mag":"1970900656"},"language":"en","primary_location":{"id":"doi:10.4171/jems/139","doi":"https://doi.org/10.4171/jems/139","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jems/139","pdf_url":"https://ems.press/content/serial-article-files/1470","source":{"id":"https://openalex.org/S88235189","display_name":"Journal of the European Mathematical Society","issn_l":"1435-9855","issn":["1435-9855","1435-9863"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-3","norway-2","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316982","host_organization_name":"European Mathematical Society","host_organization_lineage":["https://openalex.org/P4310316982"],"host_organization_lineage_names":["European Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the European Mathematical Society","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://ems.press/content/serial-article-files/1470","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064361316","display_name":"Marius Crainic","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Marius Crainic","raw_affiliation_strings":["University of Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015377052","display_name":"Ieke Moerdijk","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I193662353","display_name":"Utrecht University","ror":"https://ror.org/04pp8hn57","country_code":"NL","type":"education","lineage":["https://openalex.org/I193662353"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Ieke Moerdijk","raw_affiliation_strings":["University of Utrecht, Netherlands"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Utrecht, Netherlands","institution_ids":["https://openalex.org/I193662353"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I193662353"],"apc_list":null,"apc_paid":null,"fwci":5.3175,"has_fulltext":true,"cited_by_count":77,"citation_normalized_percentile":{"value":0.96409118,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"10","issue":"4","first_page":"1037","last_page":"1059"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.7074999809265137,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.7074999809265137,"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":0.28540000319480896,"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/T13080","display_name":"Advanced Differential Geometry Research","score":0.002300000051036477,"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/lie-algebroids","display_name":"Lie algebroids","score":0.9210000038146973},{"id":"https://openalex.org/keywords/differential-graded-lie-algebras","display_name":"differential graded Lie algebras","score":0.9850000143051147},{"id":"https://openalex.org/keywords/deformation-theory","display_name":"deformation theory","score":0.7559999823570251}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9146477580070496},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5334447026252747},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.4446394145488739},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.39073941111564636}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.4171/jems/139","doi":"https://doi.org/10.4171/jems/139","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jems/139","pdf_url":"https://ems.press/content/serial-article-files/1470","source":{"id":"https://openalex.org/S88235189","display_name":"Journal of the European Mathematical Society","issn_l":"1435-9855","issn":["1435-9855","1435-9863"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-3","norway-2","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316982","host_organization_name":"European Mathematical Society","host_organization_lineage":["https://openalex.org/P4310316982"],"host_organization_lineage_names":["European Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the European Mathematical Society","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/0403434","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0403434","pdf_url":"https://arxiv.org/pdf/math/0403434","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:dspace.library.uu.nl:1874/19239","doi":null,"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/19239","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":"Preprint"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/129002","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/2066/129002","pdf_url":null,"source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of the European Mathematical Society, 10, 4, pp. 1037-1059","raw_type":"Article / Letter to editor"},{"id":"pmh:uu:oai:dspace.library.uu.nl:1874/19239","doi":null,"is_oa":true,"landing_page_url":"https://dspace.library.uu.nl/handle/1874/19239","pdf_url":null,"source":{"id":"https://openalex.org/S4306401649","display_name":"Utrecht University Repository (Utrecht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I193662353","host_organization_name":"Utrecht University","host_organization_lineage":["https://openalex.org/I193662353"],"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":"","raw_type":"info:eu-repo/semantics/preprint"},{"id":"doi:10.48550/arxiv.math/0403434","doi":"https://doi.org/10.48550/arxiv.math/0403434","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0403434","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":"doi:10.4171/jems/139","doi":"https://doi.org/10.4171/jems/139","is_oa":true,"landing_page_url":"https://doi.org/10.4171/jems/139","pdf_url":"https://ems.press/content/serial-article-files/1470","source":{"id":"https://openalex.org/S88235189","display_name":"Journal of the European Mathematical Society","issn_l":"1435-9855","issn":["1435-9855","1435-9863"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","doaj","dongbi-a","jufo-3","norway-2","oarl","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310316982","host_organization_name":"European Mathematical Society","host_organization_lineage":["https://openalex.org/P4310316982"],"host_organization_lineage_names":["European Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of the European Mathematical Society","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320309411","display_name":"University of California Berkeley","ror":"https://ror.org/01an7q238"},{"id":"https://openalex.org/F4320320934","display_name":"Koninklijke Nederlandse Akademie van Wetenschappen","ror":"https://ror.org/043c0p156"},{"id":"https://openalex.org/F4320324592","display_name":"Univerza v Ljubljani","ror":"https://ror.org/05njb9z20"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1970900656.pdf","grobid_xml":"https://content.openalex.org/works/W1970900656.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1553322733","https://openalex.org/W1567875216","https://openalex.org/W1970526982","https://openalex.org/W1971509177","https://openalex.org/W1986329620","https://openalex.org/W2012662679","https://openalex.org/W2016478192","https://openalex.org/W2053464422","https://openalex.org/W2062621534","https://openalex.org/W2104487022","https://openalex.org/W2109306467","https://openalex.org/W2115127980","https://openalex.org/W2145508915","https://openalex.org/W2165142179","https://openalex.org/W2172157119","https://openalex.org/W2243652667","https://openalex.org/W2315260204","https://openalex.org/W2962771954","https://openalex.org/W3023676365"],"related_works":["https://openalex.org/W7095386865","https://openalex.org/W1991926154","https://openalex.org/W2951166691","https://openalex.org/W2034162903","https://openalex.org/W3196173003","https://openalex.org/W1815914269","https://openalex.org/W2986125468","https://openalex.org/W2952827686","https://openalex.org/W180999679","https://openalex.org/W4400000633"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,13],"new":[3],"cohomology":[4],"for":[5],"Lie":[6,16],"algebroids,":[7],"and":[8],"prove":[9],"that":[10],"it":[11],"provides":[12],"differential":[14],"graded":[15],"algebra":[17],"which":[18],"\u201ccontrols\u201d":[19],"deformations":[20],"of":[21,25],"the":[22,26],"structure":[23],"bracket":[24],"algebroid.":[27]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
