{"id":"https://openalex.org/W1993977555","doi":"https://doi.org/10.1155/2014/173072","title":"Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9","display_name":"Classification of the Quasifiliform Nilpotent Lie Algebras of Dimension 9","publication_year":2014,"publication_date":"2014-01-01","ids":{"openalex":"https://openalex.org/W1993977555","doi":"https://doi.org/10.1155/2014/173072","mag":"1993977555"},"language":"en","primary_location":{"id":"doi:10.1155/2014/173072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/173072","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/173072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2014/173072.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061087782","display_name":"Mercedes P\u00e9rez","orcid":"https://orcid.org/0000-0001-9158-4053"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Mercedes P\u00e9rez","raw_affiliation_strings":["Department of Mechanical Engineering, University of La Rioja, 26004 Logro\u00f1o, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mechanical Engineering, University of La Rioja, 26004 Logro\u00f1o, Spain","institution_ids":["https://openalex.org/I168974976"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072565119","display_name":"Francisco P. P\u00e9rez","orcid":null},"institutions":[{"id":"https://openalex.org/I79238269","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24","country_code":"ES","type":"education","lineage":["https://openalex.org/I79238269"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Francisco P. P\u00e9rez","raw_affiliation_strings":["Department of Applied Mathematics I, University of Sevilla, 41012 Seville, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics I, University of Sevilla, 41012 Seville, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033892104","display_name":"Emilio Jim\u00e9nez Mac\u00edas","orcid":"https://orcid.org/0000-0001-6749-4592"},"institutions":[{"id":"https://openalex.org/I168974976","display_name":"Universidad de La Rioja","ror":"https://ror.org/0553yr311","country_code":"ES","type":"education","lineage":["https://openalex.org/I168974976"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Emilio Jim\u00e9nez","raw_affiliation_strings":["Department of Electrical Engineering, University of La Rioja, 26004 Logro\u00f1o, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of La Rioja, 26004 Logro\u00f1o, Spain","institution_ids":["https://openalex.org/I168974976"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033892104"],"corresponding_institution_ids":["https://openalex.org/I168974976"],"apc_list":{"value":1130,"currency":"USD","value_usd":1130},"apc_paid":{"value":1130,"currency":"USD","value_usd":1130},"fwci":0.5578,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.59364334,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2014","issue":null,"first_page":"1","last_page":"12"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9984999895095825,"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":0.9984999895095825,"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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9912999868392944,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9790999889373779,"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/mathematics","display_name":"Mathematics","score":0.8098487854003906},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.6809407472610474},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.6385841965675354},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6293153166770935},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.6067840456962585},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5754892230033875},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5375513434410095},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5022437572479248},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4480555057525635},{"id":"https://openalex.org/keywords/affine-lie-algebra","display_name":"Affine Lie algebra","score":0.4182930886745453},{"id":"https://openalex.org/keywords/current-algebra","display_name":"Current algebra","score":0.11998170614242554}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8098487854003906},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.6809407472610474},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6385841965675354},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6293153166770935},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.6067840456962585},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5754892230033875},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5375513434410095},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5022437572479248},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4480555057525635},{"id":"https://openalex.org/C5475112","wikidata":"https://www.wikidata.org/wiki/Q632521","display_name":"Affine Lie algebra","level":4,"score":0.4182930886745453},{"id":"https://openalex.org/C81999800","wikidata":"https://www.wikidata.org/wiki/Q1454725","display_name":"Current algebra","level":3,"score":0.11998170614242554},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.0},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1155/2014/173072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/173072","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/173072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:dnet:idus________::9dd9d4479eca6d9c74d4b0da0da88df4","is_oa":false,"landing_page_url":"https://idus.us.es/handle/11441/57150","pdf_url":null,"source":{"id":"https://openalex.org/S4306402641","display_name":"LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Cient\u00edficas)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4383465926","host_organization_name":"LA Referencia","host_organization_lineage":["https://openalex.org/I4383465926"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1425305589","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1425305589","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"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":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:173072","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2014/173072.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d8588486a24b40a28b6d83c2f5d9d750","is_oa":true,"landing_page_url":"https://doaj.org/article/d8588486a24b40a28b6d83c2f5d9d750","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2014 (2014)","raw_type":"article"},{"id":"pmh:oai:portal.dialnet.es:doc/5bbc6a0bb750603269e8260e","is_oa":true,"landing_page_url":"https://investigacion.unirioja.es/documentos/5bbc6a0bb750603269e8260e","pdf_url":null,"source":{"id":"https://openalex.org/S4306402551","display_name":"RIUR (Universidad de La Rioja)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I3032752892","host_organization_name":"Universidad Internacional de La Rioja","host_organization_lineage":["https://openalex.org/I3032752892"],"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/article"}],"best_oa_location":{"id":"doi:10.1155/2014/173072","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2014/173072","pdf_url":"https://downloads.hindawi.com/journals/jam/2014/173072.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869","https://openalex.org/P4310320595"],"host_organization_lineage_names":["Hindawi Publishing Corporation","Wiley"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310967","display_name":"Universidad de Sevilla","ror":"https://ror.org/03yxnpp24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1993977555.pdf","grobid_xml":"https://content.openalex.org/works/W1993977555.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1035930712","https://openalex.org/W1271425371","https://openalex.org/W1980593914","https://openalex.org/W1984153235","https://openalex.org/W1995974536","https://openalex.org/W2016598758","https://openalex.org/W2028011179","https://openalex.org/W2047376843","https://openalex.org/W2059696939","https://openalex.org/W2070259288","https://openalex.org/W2078166779","https://openalex.org/W2127367969","https://openalex.org/W2131118895","https://openalex.org/W2583994947","https://openalex.org/W2963944690"],"related_works":["https://openalex.org/W1989848136","https://openalex.org/W2469271198","https://openalex.org/W2962961613","https://openalex.org/W75113648","https://openalex.org/W4291470543","https://openalex.org/W2804249401","https://openalex.org/W4245186134","https://openalex.org/W4366343455","https://openalex.org/W2995632449","https://openalex.org/W4289671549"],"abstract_inverted_index":{"On":[0],"the":[1,4,26,31,34,44,54,88,92],"basis":[2],"of":[3,6,11,14,46,50,62,71,78,99],"family":[5,55,94],"quasifiliform":[7,68],"Lie":[8,69],"algebra":[9,70],"laws":[10],"dimension":[12,72],"9":[13,73],"16":[15],"parameters":[16,48],"and":[17,66,82,115],"17":[18],"constraints,":[19],"this":[20],"paper":[21],"is":[22,41,64,74],"devoted":[23],"to":[24,76],"identify":[25],"invariants":[27],"that":[28,43,59],"completely":[29],"classify":[30],"algebras":[32],"over":[33],"complex":[35],"numbers":[36],"except":[37],"for":[38],"isomorphism.":[39],"It":[40],"proved":[42],"nullification":[45],"certain":[47],"or":[49],"parameter":[51],"expressions":[52],"divides":[53,91],"into":[56,95],"subfamilies":[57],"such":[58],"any":[60,67],"couple":[61],"them":[63],"nonisomorphic":[65],"isomorphic":[75],"one":[77],"them.":[79],"The":[80],"iterative":[81],"exhaustive":[83],"computation":[84],"with":[85],"Maple":[86],"provides":[87],"classification,":[89],"which":[90],"original":[93],"263":[96],"subfamilies,":[97],"composed":[98],"157":[100],"simple":[101],"algebras,":[102],"77":[103],"families":[104,110,117],"depending":[105,111,118],"on":[106,112,119],"1":[107],"parameter,":[108],"24":[109],"2":[113],"parameters,":[114],"5":[116],"3":[120],"parameters.":[121]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}
