{"id":"https://openalex.org/W2913714200","doi":"https://doi.org/10.1080/00207160701868278","title":"Heisenberg superalgebras","display_name":"Heisenberg superalgebras","publication_year":2008,"publication_date":"2008-08-15","ids":{"openalex":"https://openalex.org/W2913714200","doi":"https://doi.org/10.1080/00207160701868278","mag":"2913714200"},"language":"en","primary_location":{"id":"doi:10.1080/00207160701868278","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701868278","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://idus.us.es/handle//11441/114992","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054319262","display_name":"L.M. Camacho","orcid":"https://orcid.org/0000-0002-0232-643X"},"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":"L. M. Camacho","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I , Universidad de Sevilla , Sevilla, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I , Universidad de Sevilla , Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103602590","display_name":"J.R. G\u00f3mez","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":"J. R. G\u00f3mez","raw_affiliation_strings":["Departamento de Matem\u00e1tica Aplicada I , Universidad de Sevilla , Sevilla, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1tica Aplicada I , Universidad de Sevilla , Sevilla, Spain","institution_ids":["https://openalex.org/I79238269"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008914712","display_name":"R.M. Navarro","orcid":"https://orcid.org/0000-0002-0363-6245"},"institutions":[{"id":"https://openalex.org/I80606768","display_name":"Universidad de Extremadura","ror":"https://ror.org/0174shg90","country_code":"ES","type":"education","lineage":["https://openalex.org/I80606768"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"R. M. Navarro","raw_affiliation_strings":["Departamento de Matem\u00e1ticas , Universidad de Extremadura , C\u00e1ceres, Spain"],"affiliations":[{"raw_affiliation_string":"Departamento de Matem\u00e1ticas , Universidad de Extremadura , C\u00e1ceres, Spain","institution_ids":["https://openalex.org/I80606768"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5008914712"],"corresponding_institution_ids":["https://openalex.org/I80606768"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.30488918,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"86","issue":"1","first_page":"67","last_page":"78"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9998999834060669,"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/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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9965999722480774,"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":0.8495951294898987},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.6554813981056213},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6413977742195129},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5978931188583374},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.5937889218330383},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5591144561767578},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.537890613079071},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.5344416499137878},{"id":"https://openalex.org/keywords/graded-lie-algebra","display_name":"Graded Lie algebra","score":0.43829044699668884},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16080966591835022}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8495951294898987},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.6554813981056213},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6413977742195129},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5978931188583374},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5937889218330383},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5591144561767578},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.537890613079071},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.5344416499137878},{"id":"https://openalex.org/C144091092","wikidata":"https://www.wikidata.org/wiki/Q3611543","display_name":"Graded Lie algebra","level":3,"score":0.43829044699668884},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16080966591835022},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1080/00207160701868278","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207160701868278","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:idus.us.es:11441/114992","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/114992","pdf_url":"https://idus.us.es/handle//11441/114992","source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:idus.us.es:11441/114992","is_oa":true,"landing_page_url":"https://idus.us.es/handle//11441/114992","pdf_url":"https://idus.us.es/handle//11441/114992","source":{"id":"https://openalex.org/S4306400333","display_name":"idUS (Universidad de Sevilla)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I79238269","host_organization_name":"Universidad de Sevilla","host_organization_lineage":["https://openalex.org/I79238269"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323737","display_name":"Ministerio de Ciencia y Tecnolog\u00eda","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320326754","display_name":"Junta de Andaluc\u00eda","ror":"https://ror.org/01jem9c82"},{"id":"https://openalex.org/F4320328352","display_name":"Junta de Extremadura","ror":"https://ror.org/01df4mv68"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2913714200.pdf"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1568991356","https://openalex.org/W1606069190","https://openalex.org/W1670636041","https://openalex.org/W1980552877","https://openalex.org/W1992679721","https://openalex.org/W2058484658","https://openalex.org/W2078929121","https://openalex.org/W2127677711","https://openalex.org/W2129612323","https://openalex.org/W4213269858"],"related_works":["https://openalex.org/W2469271198","https://openalex.org/W2962961613","https://openalex.org/W75113648","https://openalex.org/W4291470543","https://openalex.org/W2804249401","https://openalex.org/W2201983628","https://openalex.org/W2002603391","https://openalex.org/W1569557269","https://openalex.org/W1510888177","https://openalex.org/W2460513362"],"abstract_inverted_index":{"Heisenberg":[0],"algebras":[1,6],"are":[2],"the":[3,21,24,33,43,47,50],"only":[4],"Lie":[5,29],"(\ud835\udd24,":[7],"[,])":[8],"which":[9],"verify":[10,32],"[\ud835\udd24,":[11],"\ud835\udd24]=\ud835\udcb5(\ud835\udd24":[12],")":[13],"and":[14],"dim":[15],"(\ud835\udcb5(\ud835\udd24":[16],"))=1,":[17],"where":[18],"\ud835\udcb5":[19],"denotes":[20],"center":[22],"of":[23,49],"algebra.":[25],"We":[26,41],"classify":[27],"nilpotent":[28],"superalgebras":[30],"that":[31],"same":[34],"algebraic":[35],"conditions":[36],"in":[37],"arbitrary":[38],"finite":[39],"dimension.":[40],"study":[42],"geometrical":[44],"properties":[45],"with":[46],"aid":[48],"software":[51],"Mathematica.":[52]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}