{"id":"https://openalex.org/W2887952706","doi":"https://doi.org/10.1090/mcom/3541","title":"The Magnus expansion and post-Lie algebras","display_name":"The Magnus expansion and post-Lie algebras","publication_year":2020,"publication_date":"2020-03-25","ids":{"openalex":"https://openalex.org/W2887952706","doi":"https://doi.org/10.1090/mcom/3541","mag":"2887952706"},"language":"en","primary_location":{"id":"doi:10.1090/mcom/3541","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3541","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1808.04156","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050539610","display_name":"Charles Curry","orcid":"https://orcid.org/0000-0001-5078-792X"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Charles Curry","raw_affiliation_strings":["Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046029362","display_name":"Kurusch Ebrahimi\u2010Fard","orcid":"https://orcid.org/0000-0001-5180-5835"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Kurusch Ebrahimi-Fard","raw_affiliation_strings":["Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065234138","display_name":"Brynjulf Owren","orcid":"https://orcid.org/0000-0002-6662-9704"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Brynjulf Owren","raw_affiliation_strings":["Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Norwegian University of Science and Technology (NTNU), 7491 Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5050539610"],"corresponding_institution_ids":["https://openalex.org/I204778367"],"apc_list":null,"apc_paid":null,"fwci":4.0782,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.93886199,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"89","issue":"326","first_page":"2785","last_page":"2799"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"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":0.9998000264167786,"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/T11416","display_name":"Numerical methods for differential equations","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8584216833114624},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.6055974960327148},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.5176523327827454},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.5081222057342529},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4475584030151367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.38683560490608215}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8584216833114624},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.6055974960327148},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.5176523327827454},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5081222057342529},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4475584030151367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38683560490608215},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1090/mcom/3541","is_oa":false,"landing_page_url":"https://doi.org/10.1090/mcom/3541","pdf_url":null,"source":{"id":"https://openalex.org/S102439543","display_name":"Mathematics of Computation","issn_l":"0025-5718","issn":["0025-5718","1088-6842"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315719","host_organization_name":"American Mathematical Society","host_organization_lineage":["https://openalex.org/P4310315719"],"host_organization_lineage_names":["American Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics of Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1808.04156","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.04156","pdf_url":"https://arxiv.org/pdf/1808.04156","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1808.04156","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1808.04156","pdf_url":"https://arxiv.org/pdf/1808.04156","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[{"display_name":"Reduced inequalities","score":0.4399999976158142,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W206158150","https://openalex.org/W1569557269","https://openalex.org/W1580201862","https://openalex.org/W1619564552","https://openalex.org/W1969242270","https://openalex.org/W1979087820","https://openalex.org/W1983345163","https://openalex.org/W1985501973","https://openalex.org/W2008007187","https://openalex.org/W2009957374","https://openalex.org/W2019380811","https://openalex.org/W2020615058","https://openalex.org/W2039763880","https://openalex.org/W2040571085","https://openalex.org/W2056592225","https://openalex.org/W2061356302","https://openalex.org/W2071461214","https://openalex.org/W2104410339","https://openalex.org/W2128905340","https://openalex.org/W2141320665","https://openalex.org/W2145783350","https://openalex.org/W2158180792","https://openalex.org/W2298677201","https://openalex.org/W2316225396","https://openalex.org/W2582833925","https://openalex.org/W2594767277","https://openalex.org/W2725469883","https://openalex.org/W2741395613","https://openalex.org/W2752897425","https://openalex.org/W2963373632","https://openalex.org/W2963814407","https://openalex.org/W2981569720","https://openalex.org/W3015995064","https://openalex.org/W3105839380","https://openalex.org/W3106151910","https://openalex.org/W4229550048","https://openalex.org/W4239228335","https://openalex.org/W4242416715","https://openalex.org/W6608437133"],"related_works":["https://openalex.org/W1688912791","https://openalex.org/W917633874","https://openalex.org/W4300366167","https://openalex.org/W3101471031","https://openalex.org/W2963288691","https://openalex.org/W4298401637","https://openalex.org/W2950737168","https://openalex.org/W4230659680","https://openalex.org/W2940979654","https://openalex.org/W3187502309"],"abstract_inverted_index":{"We":[0],"relate":[1],"the":[2,17,22],"classical":[3,18],"and":[4,10],"post-Lie":[5],"Magnus":[6,19],"expansions.":[7],"Intertwining":[8],"algebraic":[9],"geometric":[11],"arguments":[12],"allows":[13],"us":[14],"to":[15],"place":[16],"expansion":[20],"in":[21],"context":[23],"of":[24],"Lie":[25],"group":[26],"integrators.":[27]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}