{"id":"https://openalex.org/W4298701807","doi":"https://doi.org/10.48550/arxiv.math/0612652","title":"Garside and locally Garside categories","display_name":"Garside and locally Garside categories","publication_year":2006,"publication_date":"2006-12-21","ids":{"openalex":"https://openalex.org/W4298701807","doi":"https://doi.org/10.48550/arxiv.math/0612652"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:math/0612652","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0612652","pdf_url":"https://arxiv.org/pdf/math/0612652","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/math/0612652","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032995115","display_name":"Fran\u00e7ois Digne","orcid":"https://orcid.org/0000-0002-3273-9446","observed_orcids":["https://orcid.org/0000-0002-3273-9446"]},"institutions":[{"id":"https://openalex.org/I4210163673","display_name":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","ror":"https://ror.org/04smxbm79","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4210141950","https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"id":"https://openalex.org/I4647051","display_name":"Universit\u00e9 de Picardie Jules Verne","ror":"https://ror.org/01gyxrk03","country_code":"FR","type":"education","lineage":["https://openalex.org/I4647051"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Digne, Fran\u00e7ois","raw_affiliation_strings":["LAMFA","Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LAMFA","institution_ids":["https://openalex.org/I4210163673","https://openalex.org/I4647051"]},{"raw_affiliation_string":"Laboratoire Ami\u00e9nois de Math\u00e9matique Fondamentale et Appliqu\u00e9e","institution_ids":["https://openalex.org/I4210163673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037856999","display_name":"Jean Michel","orcid":"https://orcid.org/0000-0002-5226-2307","observed_orcids":["https://orcid.org/0000-0002-5226-2307"]},"institutions":[{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Michel, Jean","raw_affiliation_strings":["IMJ","Institut de Math\u00e9matiques de Jussieu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IMJ","institution_ids":[]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu","institution_ids":["https://openalex.org/I3017942884"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":22,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9009000062942505,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.9009000062942505,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.023600000888109207,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.011900000274181366,"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/coxeter-groups","display_name":"Coxeter groups","score":0.8650000095367432},{"id":"https://openalex.org/keywords/artin-groups","display_name":"Artin groups","score":0.9900000095367432},{"id":"https://openalex.org/keywords/deligne-lusztig-varieties","display_name":"Deligne-Lusztig varieties","score":0.972000002861023},{"id":"https://openalex.org/keywords/braid-groups","display_name":"braid groups","score":0.5490000247955322},{"id":"https://openalex.org/keywords/monoidal-categories","display_name":"monoidal categories","score":0.5019999742507935}],"concepts":[{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.3972620666027069}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:math/0612652","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0612652","pdf_url":"https://arxiv.org/pdf/math/0612652","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.math/0612652","doi":"https://doi.org/10.48550/arxiv.math/0612652","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/0612652","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:math/0612652","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/0612652","pdf_url":"https://arxiv.org/pdf/math/0612652","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/W4298701807.pdf","grobid_xml":"https://content.openalex.org/works/W4298701807.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1643517410","https://openalex.org/W1978044450","https://openalex.org/W2171506120","https://openalex.org/W2594705315"],"related_works":["https://openalex.org/W4411131815","https://openalex.org/W7045584811","https://openalex.org/W2002087494","https://openalex.org/W1643517410","https://openalex.org/W1971930364","https://openalex.org/W1976713548","https://openalex.org/W1498271044","https://openalex.org/W7095312468","https://openalex.org/W3052718709","https://openalex.org/W6929294159"],"abstract_inverted_index":{"We":[0,11],"define":[1],"and":[2,7,17,20],"give":[3,12],"axioms":[4],"for":[5],"Garside":[6,9],"locally":[8],"categories.":[10],"an":[13],"application":[14],"to":[15],"Coxeter":[16],"Artin":[18],"groups":[19],"Deligne-Lusztig":[21],"varieties.":[22]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2022-10-02T00:00:00"}
