{"id":"https://openalex.org/W2990876339","doi":"https://doi.org/10.1090/mcom/3503","title":"Modular forms invariant under non-split Cartan subgroups","display_name":"Modular forms invariant under non-split Cartan subgroups","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2990876339","doi":"https://doi.org/10.1090/mcom/3503","mag":"2990876339"},"language":"en","primary_location":{"id":"pmh:oai:art.torvergata.it:2108/237629","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/237629","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11573/1598639","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Schoof, R","orcid":null},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"Schoof, R","raw_affiliation_strings":["Dipartimento di Matematica, 2\\textsuperscript{a} Universit\u00c3\u00a0 di Roma \u00e2\u0080\u009cTor Vergata\u00e2\u0080\u009d, Roma, Italy 00133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, 2\\textsuperscript{a} Universit\u00c3\u00a0 di Roma \u00e2\u0080\u009cTor Vergata\u00e2\u0080\u009d, Roma, Italy 00133","institution_ids":["https://openalex.org/I116067653"]}]},{"author_position":"last","author":{"id":null,"display_name":"Mercuri, P","orcid":null},"institutions":[{"id":"https://openalex.org/I116067653","display_name":"University of Rome Tor Vergata","ror":"https://ror.org/02p77k626","country_code":"IT","type":"education","lineage":["https://openalex.org/I116067653"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Mercuri, P","raw_affiliation_strings":["Dipartimento di Matematica, 2\\textsuperscript{a} Universit\u00c3\u00a0 di Roma \u00e2\u0080\u009cTor Vergata\u00e2\u0080\u009d, Roma, Italy 00133"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica, 2\\textsuperscript{a} Universit\u00c3\u00a0 di Roma \u00e2\u0080\u009cTor Vergata\u00e2\u0080\u009d, Roma, Italy 00133","institution_ids":["https://openalex.org/I116067653"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I116067653"],"apc_list":null,"apc_paid":null,"fwci":2.7086,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89118457,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9998999834060669,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.9994999766349792,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9836999773979187,"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/mathematics","display_name":"Mathematics","score":0.9260013103485107},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.7223880290985107},{"id":"https://openalex.org/keywords/cartan-matrix","display_name":"Cartan matrix","score":0.5754032135009766},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5700887441635132},{"id":"https://openalex.org/keywords/modular-form","display_name":"Modular form","score":0.554037868976593},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5443385243415833},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.49947047233581543},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.373555064201355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20788338780403137},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.10429802536964417},{"id":"https://openalex.org/keywords/affine-lie-algebra","display_name":"Affine Lie algebra","score":0.0685892403125763}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9260013103485107},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.7223880290985107},{"id":"https://openalex.org/C145807718","wikidata":"https://www.wikidata.org/wiki/Q2004951","display_name":"Cartan matrix","level":5,"score":0.5754032135009766},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5700887441635132},{"id":"https://openalex.org/C75764964","wikidata":"https://www.wikidata.org/wiki/Q870797","display_name":"Modular form","level":2,"score":0.554037868976593},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5443385243415833},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.49947047233581543},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.373555064201355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20788338780403137},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.10429802536964417},{"id":"https://openalex.org/C5475112","wikidata":"https://www.wikidata.org/wiki/Q632521","display_name":"Affine Lie algebra","level":4,"score":0.0685892403125763},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C81999800","wikidata":"https://www.wikidata.org/wiki/Q1454725","display_name":"Current algebra","level":3,"score":0.0},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:art.torvergata.it:2108/237629","is_oa":false,"landing_page_url":"http://hdl.handle.net/2108/237629","pdf_url":null,"source":{"id":"https://openalex.org/S4306400993","display_name":"Cineca Institutional Research Information System (Tor Vergata University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I116067653","host_organization_name":"University of Rome Tor Vergata","host_organization_lineage":["https://openalex.org/I116067653"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.unipa.it:10447/701685","is_oa":false,"landing_page_url":"https://hdl.handle.net/10447/701685","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"info:eu-repo/semantics/article"},{"id":"pmh:oai:iris.uniroma1.it:11573/1598639","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1598639","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:iris.uniroma1.it:11573/1598639","is_oa":true,"landing_page_url":"http://hdl.handle.net/11573/1598639","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W84277719","https://openalex.org/W88920505","https://openalex.org/W157332338","https://openalex.org/W1508466895","https://openalex.org/W1590252182","https://openalex.org/W2001572759","https://openalex.org/W2008369246","https://openalex.org/W2011844852","https://openalex.org/W2025350338","https://openalex.org/W2026133022","https://openalex.org/W2070421272","https://openalex.org/W2075505361","https://openalex.org/W2116659959","https://openalex.org/W2127251183","https://openalex.org/W2169348685","https://openalex.org/W2172293890","https://openalex.org/W2495079969","https://openalex.org/W2530736963","https://openalex.org/W2624948539","https://openalex.org/W2962817287","https://openalex.org/W3103948894","https://openalex.org/W3106443002","https://openalex.org/W4233014269","https://openalex.org/W4240136728","https://openalex.org/W4394657979"],"related_works":["https://openalex.org/W2898771286","https://openalex.org/W2378076731","https://openalex.org/W4286888643","https://openalex.org/W3210795196","https://openalex.org/W2088988140","https://openalex.org/W2987707126","https://openalex.org/W2803103875","https://openalex.org/W2064106489","https://openalex.org/W4298378052","https://openalex.org/W2949512258"],"abstract_inverted_index":{"In":[0],"this":[1],"paper":[2],"we":[3,32],"describe":[4],"a":[5,9,21],"method":[6],"for":[7,11,34,44],"computing":[8],"basis":[10],"the":[12,45,49],"space":[13],"of":[14,25,38,48],"weight":[15],"2":[16],"cusp":[17],"forms":[18],"invariant":[19],"under":[20],"non-split":[22],"Cartan":[23],"subgroup":[24],"prime":[26],"level":[27],"p.":[28],"As":[29],"an":[30],"application":[31],"compute,":[33],"certain":[35],"small":[36],"values":[37],"p,":[39],"explicit":[40],"equations":[41],"over":[42],"Q":[43],"canonical":[46],"embeddings":[47],"associated":[50],"modular":[51],"curves.":[52]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
