{"id":"https://openalex.org/W3101120252","doi":null,"title":"THE ALGEBRAIC STRUCTURE OF THE ONSAGER ALGEBRA 1","display_name":"THE ALGEBRAIC STRUCTURE OF THE ONSAGER ALGEBRA 1","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W3101120252","mag":"3101120252"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.305.4911","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.305.4911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cond-mat/0002418v1.pdf","raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5113551680","display_name":"Etsur\u014d Date","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"The University of Osaka","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Etsuro Date","raw_affiliation_strings":["Department of Mathematics, Osaka University, Osaka, 560, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Osaka University, Osaka, 560, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5113551680"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.6586999893188477,"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":0.6586999893188477,"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":0.3359000086784363,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0017999999690800905,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/onsager-algebra","display_name":"Onsager algebra","score":1.0},{"id":"https://openalex.org/keywords/lie-algebra-structure","display_name":"Lie algebra structure","score":0.9169999957084656},{"id":"https://openalex.org/keywords/ideal-theory","display_name":"ideal theory","score":0.7120000123977661},{"id":"https://openalex.org/keywords/finite-dimensional-representations","display_name":"finite-dimensional representations","score":0.9980000257492065},{"id":"https://openalex.org/keywords/solvable-lie-algebras","display_name":"solvable Lie algebras","score":0.9470000267028809}],"concepts":[{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.7158688306808472},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.6631540060043335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5760827660560608},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43808549642562866},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3890080749988556},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11941444873809814}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.305.4911","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.305.4911","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/cond-mat/0002418v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1989584745","https://openalex.org/W1989995055","https://openalex.org/W1994918170","https://openalex.org/W2002797530","https://openalex.org/W2010099690","https://openalex.org/W2044022822","https://openalex.org/W2047593281","https://openalex.org/W2064291389","https://openalex.org/W2074044555","https://openalex.org/W2125986857","https://openalex.org/W2138070596"],"related_works":["https://openalex.org/W1642942500","https://openalex.org/W2000434513","https://openalex.org/W3142197984","https://openalex.org/W15483257","https://openalex.org/W594598235","https://openalex.org/W2190484230","https://openalex.org/W1501030455","https://openalex.org/W4232711967","https://openalex.org/W2972316939","https://openalex.org/W7222573716"],"abstract_inverted_index":{"We":[0,35],"study":[1],"the":[2,7,11,23,29,32,38,43,47],"Lie":[3,49],"algebra":[4,9,25,40,45,50],"structure":[5,18],"of":[6,15,20,42],"Onsager":[8,24,44],"from":[10],"ideal":[12],"theoretic":[13],"point":[14],"view.":[16],"A":[17],"theorem":[19],"ideals":[21],"in":[22],"is":[26],"obtained":[27],"with":[28],"connection":[30],"to":[31],"finite-dimensional":[33],"representations.":[34],"also":[36],"discuss":[37],"solvable":[39],"aspect":[41],"through":[46],"formal":[48],"theory.":[51],"1":[52]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":7},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-11-03T10:50:19.383937","created_date":"2020-11-23T00:00:00"}
