{"id":"https://openalex.org/W3097756704","doi":"https://doi.org/10.1142/s0218196721500296","title":"Holonomic modules for rings of invariant differential operators","display_name":"Holonomic modules for rings of invariant differential operators","publication_year":2021,"publication_date":"2021-04-10","ids":{"openalex":"https://openalex.org/W3097756704","doi":"https://doi.org/10.1142/s0218196721500296","mag":"3097756704"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196721500296","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500296","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2010.14562","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075952040","display_name":"Vyacheslav Futorny","orcid":"https://orcid.org/0000-0002-4701-8879"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]},{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["BR","CN"],"is_corresponding":true,"raw_author_name":"Vyacheslav Futorny","raw_affiliation_strings":["Instituto de Matematica e Estatistica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil","International Center for Mathematics, SUSTech, Shenzhen, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matematica e Estatistica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"International Center for Mathematics, SUSTech, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044588983","display_name":"Jo\u00e3o Schwarz","orcid":"https://orcid.org/0000-0003-1023-1489"},"institutions":[{"id":"https://openalex.org/I17974374","display_name":"Universidade de S\u00e3o Paulo","ror":"https://ror.org/036rp1748","country_code":"BR","type":"education","lineage":["https://openalex.org/I17974374"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jo\u00e3o Schwarz","raw_affiliation_strings":["Instituto de Matematica e Estatistica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil","Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instituto de Matematica e Estatistica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil","institution_ids":["https://openalex.org/I17974374"]},{"raw_affiliation_string":"Instituto de Matem\u00e1tica e Estat\u00edstica, Universidade de S\u00e3o Paulo, Caixa Postal 66281, S\u00e3o Paulo, CEP 05315-970, Brasil","institution_ids":["https://openalex.org/I17974374"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5075952040"],"corresponding_institution_ids":["https://openalex.org/I17974374","https://openalex.org/I3045169105"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07128919,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"04","first_page":"605","last_page":"622"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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"}},{"id":"https://openalex.org/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9998999834060669,"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":0.8206549882888794},{"id":"https://openalex.org/keywords/krull-dimension","display_name":"Krull dimension","score":0.6739423274993896},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6673468947410583},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.6652833223342896},{"id":"https://openalex.org/keywords/holonomic","display_name":"Holonomic","score":0.5010554790496826},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.46897730231285095},{"id":"https://openalex.org/keywords/symplectic-geometry","display_name":"Symplectic geometry","score":0.4641491174697876},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.4584069550037384},{"id":"https://openalex.org/keywords/commutative-property","display_name":"Commutative property","score":0.45574310421943665},{"id":"https://openalex.org/keywords/differential-operator","display_name":"Differential operator","score":0.42726391553878784},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4267575740814209},{"id":"https://openalex.org/keywords/noetherian","display_name":"Noetherian","score":0.3223978579044342}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8206549882888794},{"id":"https://openalex.org/C22602557","wikidata":"https://www.wikidata.org/wiki/Q1225713","display_name":"Krull dimension","level":4,"score":0.6739423274993896},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6673468947410583},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.6652833223342896},{"id":"https://openalex.org/C2777964439","wikidata":"https://www.wikidata.org/wiki/Q5884201","display_name":"Holonomic","level":2,"score":0.5010554790496826},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.46897730231285095},{"id":"https://openalex.org/C168619227","wikidata":"https://www.wikidata.org/wiki/Q2190991","display_name":"Symplectic geometry","level":2,"score":0.4641491174697876},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.4584069550037384},{"id":"https://openalex.org/C183778304","wikidata":"https://www.wikidata.org/wiki/Q165474","display_name":"Commutative property","level":2,"score":0.45574310421943665},{"id":"https://openalex.org/C70915906","wikidata":"https://www.wikidata.org/wiki/Q1058681","display_name":"Differential operator","level":2,"score":0.42726391553878784},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4267575740814209},{"id":"https://openalex.org/C2779057376","wikidata":"https://www.wikidata.org/wiki/Q3342676","display_name":"Noetherian","level":3,"score":0.3223978579044342},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196721500296","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196721500296","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2010.14562","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.14562","pdf_url":"https://arxiv.org/pdf/2010.14562","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"mag:3097756704","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2010.14562","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.2010.14562","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2010.14562","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2010.14562","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2010.14562","pdf_url":"https://arxiv.org/pdf/2010.14562","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W115799673","https://openalex.org/W287140286","https://openalex.org/W624050784","https://openalex.org/W984138936","https://openalex.org/W997925034","https://openalex.org/W1524935011","https://openalex.org/W1530431073","https://openalex.org/W1557525489","https://openalex.org/W1596655614","https://openalex.org/W1980129941","https://openalex.org/W1982565394","https://openalex.org/W1986931434","https://openalex.org/W2001853648","https://openalex.org/W2004604697","https://openalex.org/W2009520459","https://openalex.org/W2017518875","https://openalex.org/W2067306129","https://openalex.org/W2079432434","https://openalex.org/W2103212284","https://openalex.org/W2609673679","https://openalex.org/W2612451553","https://openalex.org/W2809793047","https://openalex.org/W2964127052","https://openalex.org/W3037442319","https://openalex.org/W4237948632"],"related_works":["https://openalex.org/W3153151210","https://openalex.org/W1581712747","https://openalex.org/W1515139696","https://openalex.org/W1555334545","https://openalex.org/W2734408496","https://openalex.org/W2152629266","https://openalex.org/W2888896598","https://openalex.org/W2950087019","https://openalex.org/W2526178132","https://openalex.org/W2995588377","https://openalex.org/W2336935869","https://openalex.org/W2963826762","https://openalex.org/W1491726941","https://openalex.org/W2291490623","https://openalex.org/W2047838475","https://openalex.org/W2980588794","https://openalex.org/W2100643029","https://openalex.org/W1669011339","https://openalex.org/W3101211288","https://openalex.org/W1638686881"],"abstract_inverted_index":{"We":[0,27,45,87],"study":[1],"holonomic":[2],"modules":[3],"for":[4,32,49,66],"the":[5,29,39,47,50,53,59,67,84,90],"rings":[6,68],"of":[7,24,52,62,69,78,93],"invariant":[8,70],"differential":[9,71],"operators":[10,72],"on":[11,73],"affine":[12],"commutative":[13],"domains":[14],"with":[15,19,56],"finite":[16,25,64],"Krull":[17],"dimension":[18,41,92],"respect":[20,57],"to":[21,58],"arbitrary":[22],"actions":[23],"groups.":[26],"prove":[28],"Bernstein":[30],"inequality":[31],"these":[33],"rings.":[34],"Our":[35],"main":[36],"tool":[37],"is":[38],"filter":[40,91],"introduced":[42],"by":[43],"Bavula.":[44],"extend":[46],"results":[48],"invariants":[51,77],"Weyl":[54,81],"algebra":[55],"symplectic":[60],"action":[61],"a":[63],"group,":[65],"quotient":[74],"varieties,":[75],"and":[76],"certain":[79],"generalized":[80],"algebras":[82,97],"under":[83],"linear":[85],"actions.":[86],"show":[88],"that":[89],"all":[94],"above":[95],"mentioned":[96],"equals":[98],"1.":[99]},"counts_by_year":[],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
