{"id":"https://openalex.org/W1677629278","doi":"https://doi.org/10.37236/369","title":"The Ladder Crystal","display_name":"The Ladder Crystal","publication_year":2010,"publication_date":"2010-07-10","ids":{"openalex":"https://openalex.org/W1677629278","doi":"https://doi.org/10.37236/369","mag":"1677629278"},"language":"en","primary_location":{"id":"doi:10.37236/369","is_oa":true,"landing_page_url":"https://doi.org/10.37236/369","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r97/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r97/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083681237","display_name":"Chris Berg","orcid":"https://orcid.org/0000-0002-0856-7891"},"institutions":[{"id":"https://openalex.org/I9267121","display_name":"Fields Institute for Research in Mathematical Sciences","ror":"https://ror.org/03zzj3f20","country_code":"CA","type":"facility","lineage":["https://openalex.org/I185261750","https://openalex.org/I9267121"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Chris Berg","raw_affiliation_strings":["Fields Institute, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"Fields Institute, Toronto, ON, Canada","institution_ids":["https://openalex.org/I9267121"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5083681237"],"corresponding_institution_ids":["https://openalex.org/I9267121"],"apc_list":null,"apc_paid":null,"fwci":1.4866,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.79420212,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"17","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9932000041007996,"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":0.9932000041007996,"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/T11716","display_name":"Random Matrices and Applications","score":0.9822999835014343,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9793999791145325,"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/mathematics","display_name":"Mathematics","score":0.7358893156051636},{"id":"https://openalex.org/keywords/lambda","display_name":"Lambda","score":0.7244792580604553},{"id":"https://openalex.org/keywords/crystal","display_name":"Crystal (programming language)","score":0.6696929335594177},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6580137014389038},{"id":"https://openalex.org/keywords/isomorphism","display_name":"Isomorphism (crystallography)","score":0.633051872253418},{"id":"https://openalex.org/keywords/regularization","display_name":"Regularization (linguistics)","score":0.483107328414917},{"id":"https://openalex.org/keywords/crystal-structure","display_name":"Crystal structure","score":0.24396684765815735},{"id":"https://openalex.org/keywords/crystallography","display_name":"Crystallography","score":0.18248271942138672},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1525329351425171},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11278441548347473},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07480019330978394},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05705231428146362}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7358893156051636},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.7244792580604553},{"id":"https://openalex.org/C2781285689","wikidata":"https://www.wikidata.org/wiki/Q21921428","display_name":"Crystal (programming language)","level":2,"score":0.6696929335594177},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6580137014389038},{"id":"https://openalex.org/C203436722","wikidata":"https://www.wikidata.org/wiki/Q902950","display_name":"Isomorphism (crystallography)","level":3,"score":0.633051872253418},{"id":"https://openalex.org/C2776135515","wikidata":"https://www.wikidata.org/wiki/Q17143721","display_name":"Regularization (linguistics)","level":2,"score":0.483107328414917},{"id":"https://openalex.org/C115624301","wikidata":"https://www.wikidata.org/wiki/Q895901","display_name":"Crystal structure","level":2,"score":0.24396684765815735},{"id":"https://openalex.org/C8010536","wikidata":"https://www.wikidata.org/wiki/Q160398","display_name":"Crystallography","level":1,"score":0.18248271942138672},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1525329351425171},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11278441548347473},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07480019330978394},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05705231428146362},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/369","is_oa":true,"landing_page_url":"https://doi.org/10.37236/369","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r97/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.37236/369","is_oa":true,"landing_page_url":"https://doi.org/10.37236/369","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v17i1r97/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1677629278.pdf","grobid_xml":"https://content.openalex.org/works/W1677629278.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1579648198","https://openalex.org/W1983472708","https://openalex.org/W2073237712","https://openalex.org/W2080644576","https://openalex.org/W2488278335","https://openalex.org/W4210989028","https://openalex.org/W6636526938"],"related_works":["https://openalex.org/W2951695430","https://openalex.org/W4300891849","https://openalex.org/W2318687609","https://openalex.org/W91590591","https://openalex.org/W159772521","https://openalex.org/W2950100995","https://openalex.org/W3170064006","https://openalex.org/W2281582664","https://openalex.org/W2554039769","https://openalex.org/W1997904316"],"abstract_inverted_index":{"In":[0],"this":[1,24],"paper":[2],"I":[3,41],"introduce":[4],"a":[5,36,60],"new":[6],"description":[7],"of":[8,12,19,23,38,54],"the":[9,16,21,31,45,52],"crystal":[10,25,61],"$B(\\Lambda_0)$":[11],"$\\widehat{\\mathfrak{sl}}_\\ell$.":[13],"As":[14],"in":[15],"Misra-Miwa":[17],"model":[18],"$B(\\Lambda_0)$,":[20],"nodes":[22],"are":[26,48],"indexed":[27],"by":[28,50,57],"partitions":[29],"and":[30],"$i$-arrows":[32],"correspond":[33],"to":[34],"adding":[35],"box":[37],"residue":[39],"$i$.":[40],"then":[42],"show":[43],"that":[44],"two":[46],"models":[47],"equivalent":[49],"interpreting":[51],"operation":[53],"regularization":[55],"introduced":[56],"James":[58],"as":[59],"isomorphism.":[62]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}
