{"id":"https://openalex.org/W4386745584","doi":"https://doi.org/10.5070/c63261979","title":"A lattice model for super LLT polynomials","display_name":"A lattice model for super LLT polynomials","publication_year":2023,"publication_date":"2023-09-14","ids":{"openalex":"https://openalex.org/W4386745584","doi":"https://doi.org/10.5070/c63261979"},"language":"en","primary_location":{"id":"doi:10.5070/c63261979","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c63261979","pdf_url":null,"source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.5070/c63261979","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110221667","display_name":"Michael Curran","orcid":"https://orcid.org/0000-0002-7822-3445"},"institutions":[{"id":"https://openalex.org/I40120149","display_name":"University of Oxford","ror":"https://ror.org/052gg0110","country_code":"GB","type":"education","lineage":["https://openalex.org/I40120149"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Michael J. Curran","raw_affiliation_strings":["Mathematical Institute, University of Oxford, Oxford, OX2 6GG, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Oxford, Oxford, OX2 6GG, United Kingdom","institution_ids":["https://openalex.org/I40120149"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5076273314","display_name":"Claire Frechette","orcid":null},"institutions":[{"id":"https://openalex.org/I103531236","display_name":"Boston College","ror":"https://ror.org/02n2fzt79","country_code":"US","type":"education","lineage":["https://openalex.org/I103531236"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Claire Frechette","raw_affiliation_strings":["School of Mathematics, Boston College, Chestnut Hill, MA 02467, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Boston College, Chestnut Hill, MA 02467, United States","institution_ids":["https://openalex.org/I103531236"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045520839","display_name":"Calvin Yost-Wolff","orcid":null},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Calvin Yost-Wolff","raw_affiliation_strings":["Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, United States","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058581931","display_name":"Sylvester W. Zhang","orcid":"https://orcid.org/0000-0002-4617-5901"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sylvester W. Zhang","raw_affiliation_strings":["School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, University of Minnesota, Minneapolis, MN 55455, United States","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044084937","display_name":"Valerie Zhang","orcid":null},"institutions":[{"id":"https://openalex.org/I136199984","display_name":"Harvard University","ror":"https://ror.org/03vek6s52","country_code":"US","type":"education","lineage":["https://openalex.org/I136199984"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Valerie Zhang","raw_affiliation_strings":["Department of Mathematics, Harvard University, Cambridge, MA 02138, United States"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harvard University, Cambridge, MA 02138, United States","institution_ids":["https://openalex.org/I136199984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0425,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.7482929,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"3","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":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/T10287","display_name":"Algebraic structures and combinatorial models","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":0.9998000264167786,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9995999932289124,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cauchy-distribution","display_name":"Cauchy distribution","score":0.6600086688995361},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6249238848686218},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.618575930595398},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.4961879849433899},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.486299604177475},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.47684088349342346},{"id":"https://openalex.org/keywords/fock-space","display_name":"Fock space","score":0.44166454672813416},{"id":"https://openalex.org/keywords/wilson-polynomials","display_name":"Wilson polynomials","score":0.41950860619544983},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.3509558141231537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33984023332595825},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.18260422348976135},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1588861346244812},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.13317933678627014}],"concepts":[{"id":"https://openalex.org/C49344536","wikidata":"https://www.wikidata.org/wiki/Q726441","display_name":"Cauchy distribution","level":2,"score":0.6600086688995361},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6249238848686218},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.618575930595398},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.4961879849433899},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.486299604177475},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.47684088349342346},{"id":"https://openalex.org/C114852677","wikidata":"https://www.wikidata.org/wiki/Q899044","display_name":"Fock space","level":2,"score":0.44166454672813416},{"id":"https://openalex.org/C43176163","wikidata":"https://www.wikidata.org/wiki/Q8023263","display_name":"Wilson polynomials","level":4,"score":0.41950860619544983},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.3509558141231537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33984023332595825},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18260422348976135},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1588861346244812},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.13317933678627014},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.5070/c63261979","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c63261979","pdf_url":null,"source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.5070/c63261979","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c63261979","pdf_url":null,"source":{"id":"https://openalex.org/S4210174179","display_name":"Combinatorial Theory","issn_l":"2766-1334","issn":["2766-1334"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorial Theory","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1988262088","display_name":"PostDoctoral Research Fellowship","funder_award_id":"2203042","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4657513458","display_name":"RTG in Combinatorics","funder_award_id":"1148634","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/F4320309636","display_name":"University of Minnesota","ror":"https://ror.org/03grvy078"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W1530042113","https://openalex.org/W1605303195","https://openalex.org/W1816230691","https://openalex.org/W1996525682","https://openalex.org/W2020076387","https://openalex.org/W2038246046","https://openalex.org/W2040741400","https://openalex.org/W2075359953","https://openalex.org/W2754893541","https://openalex.org/W2963605349","https://openalex.org/W2964082953","https://openalex.org/W3090940293","https://openalex.org/W3093827252","https://openalex.org/W3107785632","https://openalex.org/W3116426656","https://openalex.org/W3119544636","https://openalex.org/W3182206333","https://openalex.org/W3182581828","https://openalex.org/W3200282830","https://openalex.org/W3207449873","https://openalex.org/W4210989203","https://openalex.org/W4226403794","https://openalex.org/W4286899897","https://openalex.org/W4286953347","https://openalex.org/W4286977791","https://openalex.org/W4287393830"],"related_works":["https://openalex.org/W2070537393","https://openalex.org/W2168893271","https://openalex.org/W2072647369","https://openalex.org/W2132314122","https://openalex.org/W34992575","https://openalex.org/W3147630167","https://openalex.org/W2954649588","https://openalex.org/W4302987434","https://openalex.org/W2749013791","https://openalex.org/W1997096699"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,29,57,64],"solvable":[3,58],"lattice":[4,61],"model":[5,62],"for":[6,38,51],"supersymmetric":[7],"LLT":[8,14,40,52,86],"polynomials,":[9,15,41],"also":[10],"known":[11],"as":[12],"super":[13,21,39,85],"based":[16],"upon":[17],"particle":[18],"interactions":[19],"in":[20],"\\(n\\)-ribbon":[22],"tableaux.":[23],"Using":[24],"related":[25],"Heisenberg":[26],"operators":[27],"on":[28],"Fock":[30],"space,":[31],"we":[32,55],"prove":[33],"Cauchy":[34,60,76],"and":[35,48,68,75],"Pieri":[36,49,74],"identities":[37,50],"simultaneously":[42],"generalizing":[43],"the":[44,73],"Cauchy,":[45,47],"dual":[46],"polynomials.":[53],"Lastly,":[54],"construct":[56],"semi-infinite":[59],"with":[63],"surprising":[65],"Yang-Baxter":[66],"equation":[67],"examine":[69],"its":[70],"connections":[71],"to":[72],"identities.Mathematics":[77],"Subject":[78],"Classifications:":[79],"05E05,":[80],"82B20,":[81],"05E10Keywords:":[82],"Lattice":[83],"models,":[84],"polynomials":[87]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
