{"id":"https://openalex.org/W7214034385","doi":"https://doi.org/10.48550/arxiv.2609.22331","title":"Base change and the Mackey formula in Deligne--Lusztig theory","display_name":"Base change and the Mackey formula in Deligne--Lusztig theory","publication_year":2026,"publication_date":"2026-09-16","ids":{"openalex":"https://openalex.org/W7214034385","doi":"https://doi.org/10.48550/arxiv.2609.22331"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2609.22331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22331","pdf_url":"https://arxiv.org/pdf/2609.22331","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2609.22331","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5151879960","display_name":"Sean Cotner","orcid":"https://orcid.org/0009-0007-7220-6373","observed_orcids":["https://orcid.org/0009-0007-7220-6373"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Cotner, Sean","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5151879960"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.8823000192642212,"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":0.8823000192642212,"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/T10849","display_name":"Finite Group Theory Research","score":0.10999999940395355,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0020000000949949026,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/base-change","display_name":"base change","score":0.9319999814033508},{"id":"https://openalex.org/keywords/finite-reductive-groups","display_name":"finite reductive groups","score":0.6370000243186951},{"id":"https://openalex.org/keywords/hecke-algebras","display_name":"Hecke algebras","score":0.6079999804496765},{"id":"https://openalex.org/keywords/representation-theory-of-finite-groups","display_name":"representation theory of finite groups","score":0.5580000281333923}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7365000247955322},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.6187999844551086},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4948999881744385},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.48919999599456787},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4652000069618225},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40059998631477356},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3905999958515167},{"id":"https://openalex.org/C2779760435","wikidata":"https://www.wikidata.org/wiki/Q5396169","display_name":"Minor (academic)","level":2,"score":0.3874000012874603},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.32280001044273376},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.3156000077724457},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.2572999894618988}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2609.22331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22331","pdf_url":"https://arxiv.org/pdf/2609.22331","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2609.22331","doi":"https://doi.org/10.48550/arxiv.2609.22331","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2609.22331","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2609.22331","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2609.22331","pdf_url":"https://arxiv.org/pdf/2609.22331","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7214034385.pdf","grobid_xml":"https://content.openalex.org/works/W7214034385.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4206125096","https://openalex.org/W4301641530","https://openalex.org/W2511730056","https://openalex.org/W2052175591","https://openalex.org/W2517894175","https://openalex.org/W2738096123","https://openalex.org/W2158635487","https://openalex.org/W566637240","https://openalex.org/W4300503904","https://openalex.org/W7096929840"],"abstract_inverted_index":{"Using":[0],"ideas":[1],"of":[2,7,43],"Digne":[3],"and":[4],"recent":[5],"work":[6],"Gaitsgory--Rozenblyum--Varshavsky,":[8],"we":[9],"show":[10],"that":[11],"Lusztig":[12],"induction":[13],"commutes":[14],"with":[15],"(a":[16],"minor":[17],"variant":[18],"of)":[19],"the":[20,34,41,50],"Glauberman":[21],"correspondence":[22],"for":[23],"large":[24],"prime":[25],"degree":[26],"field":[27],"extensions.":[28],"This":[29],"allows":[30],"one":[31],"to":[32,40,54],"reduce":[33],"Mackey":[35],"formula":[36],"in":[37,47],"Deligne--Lusztig":[38],"theory":[39],"case":[42,49],"``large''":[44],"base":[45],"fields,":[46],"which":[48],"result":[51],"is":[52],"due":[53],"Bonnaf\u00e9.":[55]},"counts_by_year":[],"updated_date":"2026-10-28T10:33:24.094632","created_date":"2026-09-23T00:00:00"}
