{"id":"https://openalex.org/W2846791473","doi":"https://doi.org/10.37236/8033","title":"Axioms for Shifted Tableau Crystals","display_name":"Axioms for Shifted Tableau Crystals","publication_year":2019,"publication_date":"2019-04-05","ids":{"openalex":"https://openalex.org/W2846791473","doi":"https://doi.org/10.37236/8033","mag":"2846791473"},"language":"en","primary_location":{"id":"doi:10.37236/8033","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8033","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i2p2/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i2p2/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051456056","display_name":"Maria Gillespie","orcid":"https://orcid.org/0000-0002-0377-5501"},"institutions":[{"id":"https://openalex.org/I84218800","display_name":"University of California, Davis","ror":"https://ror.org/05rrcem69","country_code":"US","type":"education","lineage":["https://openalex.org/I84218800"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Maria Gillespie","raw_affiliation_strings":["University of California, Davis"],"affiliations":[{"raw_affiliation_string":"University of California, Davis","institution_ids":["https://openalex.org/I84218800"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028074975","display_name":"Jake Levinson","orcid":"https://orcid.org/0000-0002-2746-4740"},"institutions":[{"id":"https://openalex.org/I201448701","display_name":"University of Washington","ror":"https://ror.org/00cvxb145","country_code":"US","type":"education","lineage":["https://openalex.org/I201448701"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jake Levinson","raw_affiliation_strings":["University of Washington"],"affiliations":[{"raw_affiliation_string":"University of Washington","institution_ids":["https://openalex.org/I201448701"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5051456056"],"corresponding_institution_ids":["https://openalex.org/I84218800"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04909129,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"26","issue":"2","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":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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9998999834060669,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.9412814378738403},{"id":"https://openalex.org/keywords/characterization","display_name":"Characterization (materials science)","score":0.6917072534561157},{"id":"https://openalex.org/keywords/axiomatic-system","display_name":"Axiomatic system","score":0.5368201732635498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5292885899543762},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.47950559854507446},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4038535952568054},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36231765151023865},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09115546941757202},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07976821064949036}],"concepts":[{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.9412814378738403},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.6917072534561157},{"id":"https://openalex.org/C125773388","wikidata":"https://www.wikidata.org/wiki/Q792542","display_name":"Axiomatic system","level":3,"score":0.5368201732635498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5292885899543762},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.47950559854507446},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4038535952568054},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36231765151023865},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09115546941757202},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07976821064949036},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.37236/8033","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8033","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i2p2/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1807.03384","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1807.03384","pdf_url":"https://arxiv.org/pdf/1807.03384","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":"","raw_type":"text"},{"id":"mag:2846791473","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1807.03384v1","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.1807.03384","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1807.03384","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":"doi:10.37236/8033","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8033","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v26i2p2/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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1430689185","display_name":null,"funder_award_id":"1604262","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3151908010","display_name":null,"funder_award_id":"PDRF 1604262","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2846791473.pdf","grobid_xml":"https://content.openalex.org/works/W2846791473.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W1544078220","https://openalex.org/W1579028070","https://openalex.org/W1864452109","https://openalex.org/W1996171755","https://openalex.org/W2017354162","https://openalex.org/W2060218519","https://openalex.org/W2156535181","https://openalex.org/W2729176162","https://openalex.org/W2735290644","https://openalex.org/W2791145140","https://openalex.org/W6600559246","https://openalex.org/W6608084480","https://openalex.org/W6832841072"],"related_works":["https://openalex.org/W2998931302","https://openalex.org/W2979197091","https://openalex.org/W2001531101","https://openalex.org/W2006881000","https://openalex.org/W2074767526","https://openalex.org/W1536217426","https://openalex.org/W2970468228","https://openalex.org/W597708701","https://openalex.org/W2261335004","https://openalex.org/W2400819653","https://openalex.org/W2295607337","https://openalex.org/W1826929949","https://openalex.org/W2137734604","https://openalex.org/W2291134763","https://openalex.org/W2964613142","https://openalex.org/W2185605982","https://openalex.org/W3125454179","https://openalex.org/W2897422647","https://openalex.org/W3099269944","https://openalex.org/W3105111019"],"abstract_inverted_index":{"We":[0],"give":[1],"local":[2],"axioms":[3,20],"that":[4],"uniquely":[5],"characterize":[6],"the":[7,15,54],"crystal-like":[8],"structure":[9,57],"on":[10],"shifted":[11],"tableaux":[12],"developed":[13,24],"by":[14,25],"authors":[16],"and":[17,43],"Purbhoo.":[18],"These":[19],"closely":[21],"resemble":[22],"those":[23],"Stembridge":[26,55],"for":[27,41,59],"type":[28],"A":[29],"tableau":[30],"crystals.":[31],"This":[32],"axiomatic":[33,56],"characterization":[34],"gives":[35],"rise":[36],"to":[37],"a":[38],"new":[39],"method":[40],"proving":[42],"understanding":[44],"Schur":[45,61],"$Q$-positive":[46],"expansions":[47],"in":[48],"symmetric":[49],"function":[50],"theory,":[51],"just":[52],"as":[53],"provides":[58],"ordinary":[60],"positivity.":[62]},"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}