{"id":"https://openalex.org/W2318618198","doi":"https://doi.org/10.1112/s1461157000000796","title":"Low-Dimensional Representations of Quasi-Simple Groups","display_name":"Low-Dimensional Representations of Quasi-Simple Groups","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2318618198","doi":"https://doi.org/10.1112/s1461157000000796","mag":"2318618198"},"language":"en","primary_location":{"id":"doi:10.1112/s1461157000000796","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000796","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E38996E7B21A5CC48280AC441B6054AA/S1461157000000796a.pdf/div-class-title-low-dimensional-representations-of-quasi-simple-groups-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E38996E7B21A5CC48280AC441B6054AA/S1461157000000796a.pdf/div-class-title-low-dimensional-representations-of-quasi-simple-groups-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007355603","display_name":"Gerhard Hi\u00df","orcid":null},"institutions":[{"id":"https://openalex.org/I887968799","display_name":"RWTH Aachen University","ror":"https://ror.org/04xfq0f34","country_code":"DE","type":"education","lineage":["https://openalex.org/I887968799"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gerhard Hiss","raw_affiliation_strings":["Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lehrstuhl D f\u00fcr Mathematik, RWTH Aachen, Templergraben 64, D-52062 Aachen, Germany","institution_ids":["https://openalex.org/I887968799"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109878955","display_name":"Gunter Malle","orcid":null},"institutions":[{"id":"https://openalex.org/I106157433","display_name":"University of Kassel","ror":"https://ror.org/04zc7p361","country_code":"DE","type":"education","lineage":["https://openalex.org/I106157433"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Gunter Malle","raw_affiliation_strings":["FB Mathematik/Informatik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FB Mathematik/Informatik, Universit\u00e4t Kassel, Heinrich-Plett-Str. 40, D-34132 Kassel, Germany","institution_ids":["https://openalex.org/I106157433"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.8626,"has_fulltext":true,"cited_by_count":102,"citation_normalized_percentile":{"value":0.96014715,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":null,"first_page":"22","last_page":"63"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/T10849","display_name":"Finite Group Theory Research","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.9976999759674072,"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/T11130","display_name":"Coding theory and cryptography","score":0.9944000244140625,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.929543673992157},{"id":"https://openalex.org/keywords/simple-group","display_name":"Simple group","score":0.6741200089454651},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6538537740707397},{"id":"https://openalex.org/keywords/classification-of-finite-simple-groups","display_name":"Classification of finite simple groups","score":0.5871744155883789},{"id":"https://openalex.org/keywords/character","display_name":"Character (mathematics)","score":0.5571985840797424},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5463696718215942},{"id":"https://openalex.org/keywords/group-of-lie-type","display_name":"Group of Lie type","score":0.5229252576828003},{"id":"https://openalex.org/keywords/classical-group","display_name":"Classical group","score":0.44577646255493164},{"id":"https://openalex.org/keywords/representation-theory","display_name":"Representation theory","score":0.41313236951828003},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3950817584991455},{"id":"https://openalex.org/keywords/lie-group","display_name":"Lie group","score":0.30311644077301025},{"id":"https://openalex.org/keywords/group-theory","display_name":"Group theory","score":0.20726951956748962},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06407776474952698}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.929543673992157},{"id":"https://openalex.org/C5383885","wikidata":"https://www.wikidata.org/wiki/Q571124","display_name":"Simple group","level":3,"score":0.6741200089454651},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6538537740707397},{"id":"https://openalex.org/C63388996","wikidata":"https://www.wikidata.org/wiki/Q1340623","display_name":"Classification of finite simple groups","level":4,"score":0.5871744155883789},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.5571985840797424},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5463696718215942},{"id":"https://openalex.org/C51997251","wikidata":"https://www.wikidata.org/wiki/Q1406425","display_name":"Group of Lie type","level":3,"score":0.5229252576828003},{"id":"https://openalex.org/C35661339","wikidata":"https://www.wikidata.org/wiki/Q2285809","display_name":"Classical group","level":3,"score":0.44577646255493164},{"id":"https://openalex.org/C197273675","wikidata":"https://www.wikidata.org/wiki/Q13220368","display_name":"Representation theory","level":2,"score":0.41313236951828003},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3950817584991455},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.30311644077301025},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.20726951956748962},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06407776474952698},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1112/s1461157000000796","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000796","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E38996E7B21A5CC48280AC441B6054AA/S1461157000000796a.pdf/div-class-title-low-dimensional-representations-of-quasi-simple-groups-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1112/s1461157000000796","is_oa":true,"landing_page_url":"https://doi.org/10.1112/s1461157000000796","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E38996E7B21A5CC48280AC441B6054AA/S1461157000000796a.pdf/div-class-title-low-dimensional-representations-of-quasi-simple-groups-div.pdf","source":{"id":"https://openalex.org/S118668765","display_name":"LMS Journal of Computation and Mathematics","issn_l":"1461-1570","issn":["1461-1570"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311874","host_organization_name":"London Mathematical Society","host_organization_lineage":["https://openalex.org/P4310311874"],"host_organization_lineage_names":["London Mathematical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"LMS Journal of Computation and Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.4300000071525574}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2318618198.pdf","grobid_xml":"https://content.openalex.org/works/W2318618198.grobid-xml"},"referenced_works_count":68,"referenced_works":["https://openalex.org/W12766527","https://openalex.org/W19966585","https://openalex.org/W84404309","https://openalex.org/W116423266","https://openalex.org/W123339424","https://openalex.org/W188361825","https://openalex.org/W591598296","https://openalex.org/W649978490","https://openalex.org/W916608065","https://openalex.org/W1485454318","https://openalex.org/W1493654001","https://openalex.org/W1503154552","https://openalex.org/W1526484046","https://openalex.org/W1572931715","https://openalex.org/W1597251915","https://openalex.org/W1600911463","https://openalex.org/W1603436311","https://openalex.org/W1605516749","https://openalex.org/W1967007675","https://openalex.org/W1974333292","https://openalex.org/W1975680201","https://openalex.org/W1976976255","https://openalex.org/W1991344894","https://openalex.org/W1993558622","https://openalex.org/W1995070618","https://openalex.org/W1996243354","https://openalex.org/W1997997195","https://openalex.org/W2003909995","https://openalex.org/W2006786872","https://openalex.org/W2013592627","https://openalex.org/W2014405059","https://openalex.org/W2022995295","https://openalex.org/W2030618076","https://openalex.org/W2032123381","https://openalex.org/W2037022205","https://openalex.org/W2037298121","https://openalex.org/W2037694774","https://openalex.org/W2039528912","https://openalex.org/W2048531853","https://openalex.org/W2051596963","https://openalex.org/W2059096038","https://openalex.org/W2059461079","https://openalex.org/W2061028028","https://openalex.org/W2062704303","https://openalex.org/W2064779168","https://openalex.org/W2067738379","https://openalex.org/W2071421100","https://openalex.org/W2074285045","https://openalex.org/W2078530136","https://openalex.org/W2092870556","https://openalex.org/W2112394896","https://openalex.org/W2115618627","https://openalex.org/W2120382277","https://openalex.org/W2133119512","https://openalex.org/W2155070260","https://openalex.org/W2165263868","https://openalex.org/W2493443830","https://openalex.org/W2500599617","https://openalex.org/W2503354009","https://openalex.org/W2504658842","https://openalex.org/W4214684581","https://openalex.org/W4240823880","https://openalex.org/W4242713374","https://openalex.org/W4249330376","https://openalex.org/W4299985435","https://openalex.org/W6603447125","https://openalex.org/W6658039793","https://openalex.org/W6831047988"],"related_works":["https://openalex.org/W1598549886","https://openalex.org/W2137033661","https://openalex.org/W4287551468","https://openalex.org/W4301226809","https://openalex.org/W2384323897","https://openalex.org/W2949942627","https://openalex.org/W2008735699","https://openalex.org/W1732987521","https://openalex.org/W2953087130","https://openalex.org/W4287812613"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"authors":[2],"determine":[3],"all":[4],"the":[5,35,39,44],"absolutely":[6],"irreducible":[7],"representations":[8],"of":[9,14,22,43],"degree":[10],"up":[11],"to":[12],"250":[13],"quasi-simple":[15],"finite":[16],"groups,":[17],"excluding":[18],"groups":[19],"that":[20],"are":[21],"Lie":[23],"type":[24],"in":[25],"their":[26],"defining":[27],"characteristic.":[28],"Additional":[29],"information":[30],"is":[31],"also":[32],"given":[33],"on":[34],"Frobenius-Schur":[36],"indicators":[37],"and":[38],"Brauer":[40],"character":[41],"fields":[42],"representations.":[45]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":8},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":10},{"year":2012,"cited_by_count":4}],"updated_date":"2026-06-24T06:17:17.354583","created_date":"2025-10-10T00:00:00"}