{"id":"https://openalex.org/W2931793369","doi":"https://doi.org/10.1142/s0218196719500437","title":"The algebraic and geometric classification of nilpotent binary Lie algebras","display_name":"The algebraic and geometric classification of nilpotent binary Lie algebras","publication_year":2019,"publication_date":"2019-04-25","ids":{"openalex":"https://openalex.org/W2931793369","doi":"https://doi.org/10.1142/s0218196719500437","mag":"2931793369"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196719500437","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500437","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and 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/1902.01706","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035688854","display_name":"Hani Abdelwahab","orcid":"https://orcid.org/0000-0002-2149-0569"},"institutions":[{"id":"https://openalex.org/I159247623","display_name":"Mansoura University","ror":"https://ror.org/01k8vtd75","country_code":"EG","type":"education","lineage":["https://openalex.org/I159247623"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Hani Abdelwahab","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura, Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, Mansoura University, Mansoura, Egypt","institution_ids":["https://openalex.org/I159247623"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103085243","display_name":"Antonio J. Calder\u00f3n Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0002-4628-522X"},"institutions":[{"id":"https://openalex.org/I39147953","display_name":"Universidad de C\u00e1diz","ror":"https://ror.org/04mxxkb11","country_code":"ES","type":"education","lineage":["https://openalex.org/I39147953"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Antonio Jes\u00fas Calder\u00f3n","raw_affiliation_strings":["Department of Mathematics, Faculty of Sciences, University of Cadiz, Cadiz, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Sciences, University of Cadiz, Cadiz, Spain","institution_ids":["https://openalex.org/I39147953"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021080089","display_name":"Ivan Kaygorodov","orcid":"https://orcid.org/0000-0003-2084-9215"},"institutions":[{"id":"https://openalex.org/I71715416","display_name":"Universidade Federal do ABC","ror":"https://ror.org/028kg9j04","country_code":"BR","type":"education","lineage":["https://openalex.org/I71715416"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Ivan Kaygorodov","raw_affiliation_strings":["CMCC, Universidade Federal do ABC. Santo Andr\u00e9, Brasil"],"affiliations":[{"raw_affiliation_string":"CMCC, Universidade Federal do ABC. Santo Andr\u00e9, Brasil","institution_ids":["https://openalex.org/I71715416"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5035688854"],"corresponding_institution_ids":["https://openalex.org/I159247623"],"apc_list":null,"apc_paid":null,"fwci":20.4318,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.99790839,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"29","issue":"06","first_page":"1113","last_page":"1129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998999834060669,"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":0.9998999834060669,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9970999956130981,"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/T10849","display_name":"Finite Group Theory Research","score":0.9969000220298767,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9026377201080322},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.7047746181488037},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6698340177536011},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5958304405212402},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5118011832237244},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.4810074269771576},{"id":"https://openalex.org/keywords/locally-nilpotent","display_name":"Locally nilpotent","score":0.47942298650741577},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4674903452396393},{"id":"https://openalex.org/keywords/representation-theory","display_name":"Representation theory","score":0.42270708084106445},{"id":"https://openalex.org/keywords/nilpotent-group","display_name":"Nilpotent group","score":0.404060035943985},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3922577202320099},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1038942039012909},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.058162569999694824}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9026377201080322},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.7047746181488037},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6698340177536011},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5958304405212402},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5118011832237244},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.4810074269771576},{"id":"https://openalex.org/C2776456406","wikidata":"https://www.wikidata.org/wiki/Q6664692","display_name":"Locally nilpotent","level":4,"score":0.47942298650741577},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4674903452396393},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.42270708084106445},{"id":"https://openalex.org/C206219070","wikidata":"https://www.wikidata.org/wiki/Q1755242","display_name":"Nilpotent group","level":3,"score":0.404060035943985},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3922577202320099},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1038942039012909},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.058162569999694824}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218196719500437","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196719500437","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1902.01706","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01706","pdf_url":"https://arxiv.org/pdf/1902.01706","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:1902.01706","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1902.01706","pdf_url":"https://arxiv.org/pdf/1902.01706","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1969343599","https://openalex.org/W2024000974","https://openalex.org/W2034448509","https://openalex.org/W2048705850","https://openalex.org/W2058951543","https://openalex.org/W2071988020","https://openalex.org/W2134549445","https://openalex.org/W2325675684","https://openalex.org/W2344795804","https://openalex.org/W2525366501","https://openalex.org/W2556865511","https://openalex.org/W2584513400","https://openalex.org/W2612013565","https://openalex.org/W2621294107","https://openalex.org/W2753979821","https://openalex.org/W2790224398","https://openalex.org/W2804787020","https://openalex.org/W2902864338","https://openalex.org/W2928005582","https://openalex.org/W2952873474","https://openalex.org/W2963195604","https://openalex.org/W2963233059","https://openalex.org/W2963733830","https://openalex.org/W3099793408","https://openalex.org/W3100213860","https://openalex.org/W3101034789","https://openalex.org/W3104807062","https://openalex.org/W3105502213","https://openalex.org/W3108945797","https://openalex.org/W4253109386"],"related_works":["https://openalex.org/W2073624563","https://openalex.org/W2314656922","https://openalex.org/W2055786994","https://openalex.org/W2556079624","https://openalex.org/W2072078056","https://openalex.org/W2027228968","https://openalex.org/W4301332782","https://openalex.org/W1985914921","https://openalex.org/W68805567","https://openalex.org/W2104233301"],"abstract_inverted_index":{"We":[0],"give":[1,45],"a":[2,25],"complete":[3,26],"algebraic":[4,47],"classification":[5,28,50],"of":[6,11,20,29,34,51,57],"nilpotent":[7,30,52],"binary":[8,31],"Lie":[9,32],"algebras":[10,33],"dimension":[12,35,58],"at":[13,59],"most":[14,60],"6":[15,36],"over":[16,37],"an":[17,42,46],"arbitrary":[18],"field":[19],"characteristic":[21],"not":[22],"2":[23],"and":[24,48],"geometric":[27,49],"[Formula:":[38,54],"see":[39,55],"text].":[40],"As":[41],"application,":[43],"we":[44],"anticommutative":[53],"text]-algebras":[56],"6.":[61]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":19},{"year":2019,"cited_by_count":4}],"updated_date":"2026-04-17T18:11:37.981687","created_date":"2025-10-10T00:00:00"}
