{"id":"https://openalex.org/W4388322665","doi":"https://doi.org/10.1093/oso/9780198511861.003.0003","title":"Representations of the complex classical categories","display_name":"Representations of the complex classical categories","publication_year":1996,"publication_date":"1996-07-11","ids":{"openalex":"https://openalex.org/W4388322665","doi":"https://doi.org/10.1093/oso/9780198511861.003.0003"},"language":"en","primary_location":{"id":"doi:10.1093/oso/9780198511861.003.0003","doi":"https://doi.org/10.1093/oso/9780198511861.003.0003","is_oa":false,"landing_page_url":"https://doi.org/10.1093/oso/9780198511861.003.0003","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Categories of Symmetries and Infinite-Dimensional Groups","raw_type":"book-chapter"},"volume":{"id":"https://openalex.org/W639760069","display_name":"Categories of Symmetries and Infinite-Dimensional Groups"},"type":"book-chapter","indexed_in":["crossref"],"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/A5002058144","display_name":"Yury A. Neretin","orcid":"https://orcid.org/0000-0002-6467-6849","observed_orcids":["https://orcid.org/0000-0002-6467-6849"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yu. A Neretin","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"G G Gould","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I115911606","display_name":"Moscow State Institute of Electronics and Mathematics","ror":"https://ror.org/05dhkbw86","country_code":"RU","type":"education","lineage":["https://openalex.org/I115911606"]},{"id":"https://openalex.org/I97429440","display_name":"University of Wales","ror":"https://ror.org/01se4f844","country_code":"GB","type":"education","lineage":["https://openalex.org/I97429440"]}],"countries":["GB","RU"],"is_corresponding":false,"raw_author_name":"G G Gould","raw_affiliation_strings":["Department of Mathematical Analysis Moscow State Institute of Electronics and Mathematics Moscow","School of Mathematics University of Wales College of Cardiff"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Analysis Moscow State Institute of Electronics and Mathematics Moscow","institution_ids":["https://openalex.org/I115911606"]},{"raw_affiliation_string":"School of Mathematics University of Wales College of Cardiff","institution_ids":["https://openalex.org/I97429440"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.76625514,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"68","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9937000274658203,"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"}},"topics":[{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9937000274658203,"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"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0034000000450760126,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.0003000000142492354,"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/holomorphic-representation","display_name":"holomorphic representation","score":0.9589999914169312},{"id":"https://openalex.org/keywords/classical-groups","display_name":"classical groups","score":0.7260000109672546},{"id":"https://openalex.org/keywords/sl-n-c","display_name":"SL(n,C)","score":0.6439999938011169},{"id":"https://openalex.org/keywords/classification-of-representations","display_name":"classification of representations","score":0.8180000185966492}],"concepts":[{"id":"https://openalex.org/C204575570","wikidata":"https://www.wikidata.org/wiki/Q207476","display_name":"Holomorphic function","level":2,"score":0.925147294998169},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5973207354545593},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5619184970855713},{"id":"https://openalex.org/C35661339","wikidata":"https://www.wikidata.org/wiki/Q2285809","display_name":"Classical group","level":3,"score":0.5594924092292786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.548583984375},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.48688116669654846},{"id":"https://openalex.org/C2780110125","wikidata":"https://www.wikidata.org/wiki/Q207333","display_name":"Honour","level":2,"score":0.46692559123039246},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.14984333515167236},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.12751734256744385},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09257501363754272},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.06475216150283813},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1093/oso/9780198511861.003.0003","doi":"https://doi.org/10.1093/oso/9780198511861.003.0003","is_oa":false,"landing_page_url":"https://doi.org/10.1093/oso/9780198511861.003.0003","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Categories of Symmetries and Infinite-Dimensional Groups","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1967978028","https://openalex.org/W2074922411","https://openalex.org/W1937645456","https://openalex.org/W1992935710","https://openalex.org/W1964539019","https://openalex.org/W7154488553","https://openalex.org/W2093018505","https://openalex.org/W7099402667","https://openalex.org/W2042789622","https://openalex.org/W2476431125"],"abstract_inverted_index":{"Abstract":[0],"This":[1],"chapter":[2],"is":[3,63],"devoted":[4],"to":[5,21],"the":[6,9,13,31,42,46,60,64],"classification":[7],"of":[8,12,30,41,45,68],"holomorphic":[10,43],"representations":[11,44],"categories":[14,19,26],"GD,":[15],"GA":[16],"and":[17],"various":[18],"close":[20],"them.":[22],"We":[23,34],"call":[24],"these":[25],"classical":[27,32,47],"in":[28],"honour":[29],"groups.":[33],"begin":[35],"(\u00a7\u00a73.1-":[36],"3.2)":[37],"with":[38],"a":[39],"discussion":[40],"groups":[48],"SL(n,":[49],"\u2102),":[50,52,54],"Sp(2n,":[51],"SO(2n,":[53],"SO(2n":[55],"+":[56],"1,":[57],"\u2102).":[58],"Here":[59],"main":[61],"result":[62],"deceptively":[65],"simple":[66],"theorem":[67],"E.":[69]},"counts_by_year":[],"updated_date":"2026-10-10T09:11:00.788812","created_date":"2023-11-04T00:00:00"}
