{"id":"https://openalex.org/W1985495577","doi":"https://doi.org/10.1016/0021-8693(88)90275-x","title":"Generalized Kac-Moody algebras","display_name":"Generalized Kac-Moody algebras","publication_year":1988,"publication_date":"1988-06-01","ids":{"openalex":"https://openalex.org/W1985495577","doi":"https://doi.org/10.1016/0021-8693(88)90275-x","mag":"1985495577"},"language":"en","primary_location":{"id":"doi:10.1016/0021-8693(88)90275-x","doi":"https://doi.org/10.1016/0021-8693(88)90275-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0021-8693(88)90275-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/002186938890275X/pdf","source":{"id":"https://openalex.org/S184147796","display_name":"Journal of Algebra","issn_l":"0021-8693","issn":["0021-8693","1090-266X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algebra","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.sciencedirect.com/science/article/pii/002186938890275X/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082252829","display_name":"Richard E. Borcherds","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Richard Borcherds","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England","Department of Pure Mathematics and Mathematical Statistics University of Cambridge 16 Mill Lane Cambridge CB2 1SB England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, 16 Mill Lane, Cambridge CB2 1SB, England","institution_ids":["https://openalex.org/I241749"]},{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics University of Cambridge 16 Mill Lane Cambridge CB2 1SB England","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082252829"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":{"value":3310,"currency":"USD","value_usd":3310},"apc_paid":null,"fwci":2.3915,"has_fulltext":true,"cited_by_count":295,"citation_normalized_percentile":{"value":0.90489192,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"115","issue":"2","first_page":"501","last_page":"512"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.989300012588501,"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":0.989300012588501,"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":0.007699999958276749,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0015999999595806003,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/generalized-kac-moody-algebras","display_name":"generalized Kac-Moody algebras","score":0.9990000128746033},{"id":"https://openalex.org/keywords/kac-moody-algebras","display_name":"Kac-Moody algebras","score":0.9580000042915344},{"id":"https://openalex.org/keywords/diagram-automorphisms","display_name":"diagram automorphisms","score":0.7120000123977661},{"id":"https://openalex.org/keywords/fixed-point-algebras","display_name":"fixed point algebras","score":0.8769999742507935},{"id":"https://openalex.org/keywords/lorentzian-lattices","display_name":"Lorentzian lattices","score":0.9789999723434448},{"id":"https://openalex.org/keywords/no-ghost-theorem","display_name":"no-ghost theorem","score":0.8420000076293945},{"id":"https://openalex.org/keywords/root-multiplicity","display_name":"root multiplicity","score":0.8989999890327454},{"id":"https://openalex.org/keywords/cartan-matrix","display_name":"Cartan matrix","score":0.7390000224113464}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8971986770629883},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6631542444229126},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.6374463438987732},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6095532178878784},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4986536502838135},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4024074971675873},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06719934940338135},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":1,"locations":[{"id":"doi:10.1016/0021-8693(88)90275-x","doi":"https://doi.org/10.1016/0021-8693(88)90275-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0021-8693(88)90275-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/002186938890275X/pdf","source":{"id":"https://openalex.org/S184147796","display_name":"Journal of Algebra","issn_l":"0021-8693","issn":["0021-8693","1090-266X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algebra","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1016/0021-8693(88)90275-x","doi":"https://doi.org/10.1016/0021-8693(88)90275-x","is_oa":true,"landing_page_url":"https://doi.org/10.1016/0021-8693(88)90275-x","pdf_url":"https://www.sciencedirect.com/science/article/pii/002186938890275X/pdf","source":{"id":"https://openalex.org/S184147796","display_name":"Journal of Algebra","issn_l":"0021-8693","issn":["0021-8693","1090-266X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-class-a","anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-100","russia-white-list-2"],"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algebra","raw_type":"journal-article"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1985495577.pdf","grobid_xml":"https://content.openalex.org/works/W1985495577.grobid-xml"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1596766872","https://openalex.org/W1642629289","https://openalex.org/W2043764902","https://openalex.org/W2048535125","https://openalex.org/W2110863704","https://openalex.org/W3038564223","https://openalex.org/W4301870496","https://openalex.org/W6676691513"],"related_works":["https://openalex.org/W4287811792","https://openalex.org/W2091450008","https://openalex.org/W2949572243","https://openalex.org/W2047003591","https://openalex.org/W4297581477","https://openalex.org/W2493306039","https://openalex.org/W2964283608","https://openalex.org/W582871954","https://openalex.org/W2337570915","https://openalex.org/W2886377156"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":16},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":11},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":11},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":8},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":12}],"updated_date":"2026-10-12T09:40:04.860316","created_date":"2025-10-10T00:00:00"}