{"id":"https://openalex.org/W7223239479","doi":"https://doi.org/10.48550/arxiv.2610.29471","title":"Enhanced Langlands Parameters of Regular Principal Series","display_name":"Enhanced Langlands Parameters of Regular Principal Series","publication_year":2026,"publication_date":"2026-10-21","ids":{"openalex":"https://openalex.org/W7223239479","doi":"https://doi.org/10.48550/arxiv.2610.29471"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.29471","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29471","pdf_url":"https://arxiv.org/pdf/2610.29471","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","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.29471","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5159268882","display_name":"Haoming Li","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Li, Haoming","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159264203","display_name":"Xiaohang Yang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yang, Xiaohang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5159267927","display_name":"Jizhi Zhang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhang, Jizhi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5047388979","display_name":"Yelei Zhao","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zhao, Yelei","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"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":1.0,"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/T11680","display_name":"Advanced Algebra and Geometry","score":1.0,"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/T10849","display_name":"Finite Group Theory Research","score":0.0,"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":0.0,"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/non-archimedean-local-fields","display_name":"non-archimedean local fields","score":0.972000002861023},{"id":"https://openalex.org/keywords/monodromy","display_name":"monodromy","score":0.921999990940094},{"id":"https://openalex.org/keywords/automorphic-representations","display_name":"automorphic representations","score":0.46000000834465027}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7896999716758728},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.6800000071525574},{"id":"https://openalex.org/C96403706","wikidata":"https://www.wikidata.org/wiki/Q543956","display_name":"Monodromy","level":2,"score":0.6362000107765198},{"id":"https://openalex.org/C202887219","wikidata":"https://www.wikidata.org/wiki/Q3895221","display_name":"Parametrization (atmospheric modeling)","level":3,"score":0.5577999949455261},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5270000100135803},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.45649999380111694},{"id":"https://openalex.org/C144559511","wikidata":"https://www.wikidata.org/wiki/Q2986279","display_name":"Principal (computer security)","level":2,"score":0.4487000107765198},{"id":"https://openalex.org/C27438332","wikidata":"https://www.wikidata.org/wiki/Q2873","display_name":"Principal component analysis","level":2,"score":0.38339999318122864},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3411000072956085},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.33550000190734863},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.32679998874664307},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.2944999933242798},{"id":"https://openalex.org/C179415260","wikidata":"https://www.wikidata.org/wiki/Q1006450","display_name":"Reductive group","level":3,"score":0.28110000491142273},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2727000117301941},{"id":"https://openalex.org/C106347477","wikidata":"https://www.wikidata.org/wiki/Q5384228","display_name":"Equating","level":3,"score":0.271699994802475},{"id":"https://openalex.org/C168393982","wikidata":"https://www.wikidata.org/wiki/Q6486188","display_name":"Langlands dual group","level":3,"score":0.2637999951839447}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.29471","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29471","pdf_url":"https://arxiv.org/pdf/2610.29471","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.2610.29471","doi":"https://doi.org/10.48550/arxiv.2610.29471","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.29471","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:2610.29471","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.29471","pdf_url":"https://arxiv.org/pdf/2610.29471","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":[{"id":"https://openalex.org/F4320321133","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35"},{"id":"https://openalex.org/F4320324787","display_name":"Peking University","ror":"https://ror.org/02v51f717"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7223239479.pdf","grobid_xml":"https://content.openalex.org/works/W7223239479.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W179725194","https://openalex.org/W1807394909","https://openalex.org/W1831675891","https://openalex.org/W1923245430","https://openalex.org/W1964098597","https://openalex.org/W2052201113","https://openalex.org/W2071379648","https://openalex.org/W2072296950","https://openalex.org/W2113557146","https://openalex.org/W2113908837","https://openalex.org/W2490159810","https://openalex.org/W2578343830","https://openalex.org/W3142364514","https://openalex.org/W4406519697","https://openalex.org/W4407275753"],"related_works":["https://openalex.org/W4407275753","https://openalex.org/W4388973309","https://openalex.org/W3084441854","https://openalex.org/W2232851607","https://openalex.org/W2203528247","https://openalex.org/W2904515035","https://openalex.org/W4310281453","https://openalex.org/W2811439756","https://openalex.org/W4417123867","https://openalex.org/W4287072234"],"abstract_inverted_index":{"We":[0],"describe":[1],"the":[2,7,30,39,55,59],"enhanced":[3],"Langlands":[4],"parameters":[5],"of":[6,10,15,25,41,58],"irreducible":[8,61],"constituents":[9],"a":[11,16,21],"regular":[12],"principal":[13],"series":[14],"quasi-split":[17],"reductive":[18],"group":[19],"over":[20],"non-archimedean":[22],"local":[23],"field":[24],"characteristic":[26],"zero.":[27],"Starting":[28],"from":[29],"chamber":[31],"parametrization":[32],"by":[33],"Rodier":[34],"and":[35,44],"Luo,":[36],"we":[37,53],"determine":[38],"monodromy":[40],"each":[42],"constituent":[43],"show":[45],"that":[46],"its":[47],"enhancement":[48],"is":[49],"trivial.":[50],"In":[51],"particular,":[52],"obtain":[54],"corresponding":[56],"parameter":[57],"unique":[60],"subrepresentation.":[62]},"counts_by_year":[],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2026-10-23T00:00:00"}
