{"id":"https://openalex.org/W3021971681","doi":"https://doi.org/10.37236/8974","title":"On Cyclic Schur-Positive Sets of Permutations","display_name":"On Cyclic Schur-Positive Sets of Permutations","publication_year":2020,"publication_date":"2020-04-17","ids":{"openalex":"https://openalex.org/W3021971681","doi":"https://doi.org/10.37236/8974","mag":"3021971681"},"language":"en","primary_location":{"id":"doi:10.37236/8974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p6/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":"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/v27i2p6/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046585305","display_name":"Jonathan Bloom","orcid":"https://orcid.org/0000-0003-3522-2669"},"institutions":[{"id":"https://openalex.org/I184759092","display_name":"Lafayette College","ror":"https://ror.org/036n0x007","country_code":"US","type":"education","lineage":["https://openalex.org/I184759092"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jonathan Bloom","raw_affiliation_strings":["Lafayette College"],"affiliations":[{"raw_affiliation_string":"Lafayette College","institution_ids":["https://openalex.org/I184759092"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091007333","display_name":"Sergi Elizalde","orcid":"https://orcid.org/0000-0003-4116-2455"},"institutions":[{"id":"https://openalex.org/I107672454","display_name":"Dartmouth College","ror":"https://ror.org/049s0rh22","country_code":"US","type":"education","lineage":["https://openalex.org/I107672454"]},{"id":"https://openalex.org/I4210166639","display_name":"Dartmouth Hospital","ror":"https://ror.org/02j3qj605","country_code":"GB","type":"healthcare","lineage":["https://openalex.org/I4210166639"]}],"countries":["GB","US"],"is_corresponding":false,"raw_author_name":"Sergi Elizalde","raw_affiliation_strings":["Dartmouth College"],"affiliations":[{"raw_affiliation_string":"Dartmouth College","institution_ids":["https://openalex.org/I4210166639","https://openalex.org/I107672454"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086610702","display_name":"Yuval Roichman","orcid":null},"institutions":[{"id":"https://openalex.org/I13955877","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495","country_code":"IL","type":"education","lineage":["https://openalex.org/I13955877"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Yuval Roichman","raw_affiliation_strings":["Bar-Ilan University"],"affiliations":[{"raw_affiliation_string":"Bar-Ilan University","institution_ids":["https://openalex.org/I13955877"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046585305"],"corresponding_institution_ids":["https://openalex.org/I184759092"],"apc_list":null,"apc_paid":null,"fwci":1.0952,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72229064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"27","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9973000288009644,"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"}},"topics":[{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9973000288009644,"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/T12970","display_name":"Names, Identity, and Discrimination Research","score":0.9746999740600586,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8843432664871216},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.8136518597602844},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7905937433242798},{"id":"https://openalex.org/keywords/young-tableau","display_name":"Young tableau","score":0.7130621671676636},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.6299500465393066},{"id":"https://openalex.org/keywords/conjugacy-class","display_name":"Conjugacy class","score":0.5882330536842346},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.5783686637878418},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.47961270809173584},{"id":"https://openalex.org/keywords/schur-polynomial","display_name":"Schur polynomial","score":0.43884438276290894},{"id":"https://openalex.org/keywords/schurs-theorem","display_name":"Schur's theorem","score":0.4193112254142761},{"id":"https://openalex.org/keywords/macdonald-polynomials","display_name":"Macdonald polynomials","score":0.07185116410255432},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.06559374928474426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8843432664871216},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.8136518597602844},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7905937433242798},{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.7130621671676636},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.6299500465393066},{"id":"https://openalex.org/C87945829","wikidata":"https://www.wikidata.org/wiki/Q1353233","display_name":"Conjugacy class","level":2,"score":0.5882330536842346},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.5783686637878418},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.47961270809173584},{"id":"https://openalex.org/C146922319","wikidata":"https://www.wikidata.org/wiki/Q4298935","display_name":"Schur polynomial","level":5,"score":0.43884438276290894},{"id":"https://openalex.org/C29701004","wikidata":"https://www.wikidata.org/wiki/Q1786292","display_name":"Schur's theorem","level":5,"score":0.4193112254142761},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"score":0.07185116410255432},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.06559374928474426},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C78540521","wikidata":"https://www.wikidata.org/wiki/Q1498246","display_name":"Gegenbauer polynomials","level":4,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.37236/8974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p6/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"}],"best_oa_location":{"id":"doi:10.37236/8974","is_oa":true,"landing_page_url":"https://doi.org/10.37236/8974","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v27i2p6/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":[{"id":"https://metadata.un.org/sdg/10","score":0.5099999904632568,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G3156371765","display_name":null,"funder_award_id":"1970/18","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320321449","display_name":"Bar-Ilan University","ror":"https://ror.org/03kgsv495"},{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3021971681.pdf","grobid_xml":"https://content.openalex.org/works/W3021971681.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965455850","https://openalex.org/W1987721903","https://openalex.org/W2017309615","https://openalex.org/W2092807942","https://openalex.org/W2097208281","https://openalex.org/W2130710312","https://openalex.org/W2525778914","https://openalex.org/W2885174367","https://openalex.org/W2963155738","https://openalex.org/W2963453516","https://openalex.org/W2963594867","https://openalex.org/W3194457795","https://openalex.org/W4300302225","https://openalex.org/W6609884072"],"related_works":["https://openalex.org/W4287266902","https://openalex.org/W2026644675","https://openalex.org/W3138388487","https://openalex.org/W1524776069","https://openalex.org/W4294517428","https://openalex.org/W2023716729","https://openalex.org/W4301664573","https://openalex.org/W2952981421","https://openalex.org/W3099364208","https://openalex.org/W4253659889"],"abstract_inverted_index":{"We":[0],"introduce":[1],"a":[2,25,87],"notion":[3,16],"of":[4,9,17,24,42,72,91,113],"cyclic":[5,36,82],"Schur-positivity":[6],"for":[7],"sets":[8,41,93],"permutations,":[10,95],"which":[11],"naturally":[12],"extends":[13],"the":[14,22,35,48,102],"classical":[15],"Schur-positivity,":[18],"and":[19,61,106,109],"it":[20],"involves":[21],"existence":[23],"bijection":[26],"from":[27],"permutations":[28,43,73],"to":[29,99],"standard":[30],"Young":[31],"tableaux":[32],"that":[33,69],"preserves":[34],"descent":[37,57,92],"set.":[38],"Cyclic":[39],"Schur-positive":[40,114],"are":[44,81],"always":[45],"Schur-positive,":[46],"but":[47],"converse":[49],"does":[50],"not":[51],"hold,":[52],"as":[53],"exemplified":[54],"by":[55,101,107],"inverse":[56],"classes,":[58],"Knuth":[59],"classes":[60,71],"conjugacy":[62],"classes.":[63],"In":[64],"this":[65],"paper":[66],"we":[67],"show":[68],"certain":[70],"invariant":[74],"under":[75],"either":[76],"horizontal":[77],"or":[78],"vertical":[79],"rotation":[80],"Schur-positive.":[83],"The":[84],"proof":[85],"unveils":[86],"new":[88,111],"equidistribution":[89],"phenomenon":[90],"on":[94],"provides":[96],"affirmative":[97],"solutions":[98],"conjectures":[100],"last":[103],"two":[104],"authors":[105],"Adin\u2013Gessel\u2013Reiner\u2013Roichman,":[108],"yields":[110],"examples":[112],"sets.":[115]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
