{"id":"https://openalex.org/W3168794407","doi":"https://doi.org/10.5070/c62257882","title":"A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux","display_name":"A refinement of the Murnaghan-Nakayama rule by descents for border strip tableaux","publication_year":2022,"publication_date":"2022-06-28","ids":{"openalex":"https://openalex.org/W3168794407","doi":"https://doi.org/10.5070/c62257882","mag":"3168794407"},"language":"en","primary_location":{"id":"doi:10.5070/c62257882","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c62257882","pdf_url":"https://escholarship.org/content/qt9cs438vb/qt9cs438vb.pdf?t=re6grc","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://escholarship.org/content/qt9cs438vb/qt9cs438vb.pdf?t=re6grc","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034637076","display_name":"Stephan Pfannerer","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Stephan Pfannerer","raw_affiliation_strings":["Institut f\u00fcr Diskrete Mathematik und Geometrie, TU Wien, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Diskrete Mathematik und Geometrie, TU Wien, Austria","institution_ids":["https://openalex.org/I145847075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5034637076"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":null,"apc_paid":null,"fwci":1.7056,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.78681244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"2","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":1.0,"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":1.0,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9997000098228455,"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":0.9997000098228455,"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/young-tableau","display_name":"Young tableau","score":0.9131284952163696},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6543886661529541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6331391334533691},{"id":"https://openalex.org/keywords/statistic","display_name":"Statistic","score":0.56728196144104},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5517426133155823},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4414263367652893},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.4196607172489166},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2569313645362854},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0989440381526947}],"concepts":[{"id":"https://openalex.org/C165368118","wikidata":"https://www.wikidata.org/wiki/Q2166280","display_name":"Young tableau","level":2,"score":0.9131284952163696},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6543886661529541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6331391334533691},{"id":"https://openalex.org/C89128539","wikidata":"https://www.wikidata.org/wiki/Q1949963","display_name":"Statistic","level":2,"score":0.56728196144104},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5517426133155823},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4414263367652893},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.4196607172489166},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2569313645362854},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0989440381526947},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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":2,"locations":[{"id":"doi:10.5070/c62257882","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c62257882","pdf_url":"https://escholarship.org/content/qt9cs438vb/qt9cs438vb.pdf?t=re6grc","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"},{"id":"pmh:oai:escholarship.org:ark:/13030/qt9cs438vb","is_oa":true,"landing_page_url":"https://escholarship.org/uc/item/9cs438vb","pdf_url":null,"source":{"id":"https://openalex.org/S4306400115","display_name":"eScholarship (California Digital Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2801248553","host_organization_name":"California Digital Library","host_organization_lineage":["https://openalex.org/I2801248553"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Combinatorial Theory, vol 2, iss 2","raw_type":"article"}],"best_oa_location":{"id":"doi:10.5070/c62257882","is_oa":true,"landing_page_url":"https://doi.org/10.5070/c62257882","pdf_url":"https://escholarship.org/content/qt9cs438vb/qt9cs438vb.pdf?t=re6grc","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":[{"display_name":"Reduced inequalities","score":0.5600000023841858,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3168794407.pdf","grobid_xml":"https://content.openalex.org/works/W3168794407.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W594004768","https://openalex.org/W1503154552","https://openalex.org/W1551177513","https://openalex.org/W1586417893","https://openalex.org/W1601893025","https://openalex.org/W1794853190","https://openalex.org/W2013327405","https://openalex.org/W2072037966","https://openalex.org/W2077309624","https://openalex.org/W2134984950","https://openalex.org/W2321123456","https://openalex.org/W2963339095","https://openalex.org/W3165886586","https://openalex.org/W4288400169"],"related_works":["https://openalex.org/W2964055078","https://openalex.org/W4300133916","https://openalex.org/W1862379588","https://openalex.org/W283627692","https://openalex.org/W2883092572","https://openalex.org/W3129536168","https://openalex.org/W4299413997","https://openalex.org/W2755969203","https://openalex.org/W1555498594","https://openalex.org/W4302768468"],"abstract_inverted_index":{"Lusztig's":[0],"fake":[1,166],"degree":[2,167],"is":[3,57,127],"the":[4,8,41,59,63,72,110,143],"generating":[5],"polynomial":[6],"for":[7,66,105,135],"major":[9],"index":[10],"of":[11,15,20,38,43,50,62,71,95,113,137,146],"standard":[12,84,116,138],"Young":[13,85,117,139],"tableaux":[14,46,86,90,140],"a":[16,34,76,92,102,132],"given":[17,93,149],"shape.":[18],"Results":[19],"Springer":[21],"(1974)":[22],"and":[23,87,153],"James":[24],"&amp;":[25],"Kerber":[26],"(1984)":[27],"imply":[28],"that,":[29],"mysteriously,":[30],"its":[31],"evaluation":[32],"at":[33,75],"\\(k\\)-th":[35],"primitive":[36],"root":[37],"unity":[39],"yields":[40],"number":[42,94],"border":[44,88,106],"strip":[45,89,107,161],"with":[47,91],"all":[48],"strips":[49],"size":[51],"\\(k\\),":[52],"up":[53],"to":[54,83,131],"sign.":[55],"This":[56],"essentially":[58],"special":[60],"case":[61],"Murnaghan-Nakayama":[64,164],"rule":[65],"evaluating":[67],"an":[68],"irreducible":[69],"character":[70],"symmetric":[73],"group":[74],"rectangular":[77],"partition.":[78],"We":[79],"refine":[80],"this":[81],"result":[82],"descents.":[96],"To":[97],"do":[98],"so,":[99],"we":[100],"introduce":[101],"new":[103,125],"statistic":[104,126],"tableaux,":[108,162],"extending":[109],"classical":[111],"definition":[112],"descents":[114],"in":[115,142],"tableaux.":[118],"Curiously,":[119],"it":[120],"turns":[121],"out":[122],"that":[123],"our":[124],"very":[128],"closely":[129],"related":[130],"descent":[133],"set":[134],"tuples":[136],"appearing":[141],"quasisymmetric":[144],"expansion":[145],"LLT":[147],"polynomials":[148],"by":[150],"Haglund,":[151],"Haiman":[152],"Loehr":[154],"(2005).Mathematics":[155],"Subject":[156],"Classifications:":[157],"05A19,":[158],"05E10Keywords:":[159],"Border":[160],"descents,":[163],"rule,":[165]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
