{"id":"https://openalex.org/W2744471241","doi":"https://doi.org/10.37236/7201","title":"Lecture Hall Partitions and the Affine Hyperoctahedral Group","display_name":"Lecture Hall Partitions and the Affine Hyperoctahedral Group","publication_year":2018,"publication_date":"2018-02-16","ids":{"openalex":"https://openalex.org/W2744471241","doi":"https://doi.org/10.37236/7201","mag":"2744471241"},"language":"en","primary_location":{"id":"doi:10.37236/7201","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7201","pdf_url":null,"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://doi.org/10.37236/7201","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043983966","display_name":"Christopher R. H. Hanusa","orcid":"https://orcid.org/0000-0002-5668-3950"},"institutions":[{"id":"https://openalex.org/I111455621","display_name":"Queens College, CUNY","ror":"https://ror.org/03v8adn41","country_code":"US","type":"education","lineage":["https://openalex.org/I111455621"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Christopher R. H. Hanusa","raw_affiliation_strings":["Queens College, CUNY"],"affiliations":[{"raw_affiliation_string":"Queens College, CUNY","institution_ids":["https://openalex.org/I111455621"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029085327","display_name":"Carla D. Savage","orcid":null},"institutions":[{"id":"https://openalex.org/I137902535","display_name":"North Carolina State University","ror":"https://ror.org/04tj63d06","country_code":"US","type":"education","lineage":["https://openalex.org/I137902535"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Carla D. Savage","raw_affiliation_strings":["North Carolina State University"],"affiliations":[{"raw_affiliation_string":"North Carolina State University","institution_ids":["https://openalex.org/I137902535"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043983966"],"corresponding_institution_ids":["https://openalex.org/I111455621"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07819202,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"1","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":0.9997000098228455,"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":0.9997000098228455,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9986000061035156,"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"}},{"id":"https://openalex.org/T11716","display_name":"Random Matrices and Applications","score":0.9882000088691711,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7865728735923767},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.7500190734863281},{"id":"https://openalex.org/keywords/lecture-hall","display_name":"Lecture hall","score":0.7016789317131042},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.7014003992080688},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5905142426490784},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5716304779052734},{"id":"https://openalex.org/keywords/generating-function","display_name":"Generating function","score":0.519511342048645},{"id":"https://openalex.org/keywords/inversion","display_name":"Inversion (geology)","score":0.5056576728820801},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.41904813051223755},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3551587462425232},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3380865454673767},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15125572681427002},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09171321988105774}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7865728735923767},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.7500190734863281},{"id":"https://openalex.org/C2776568719","wikidata":"https://www.wikidata.org/wiki/Q253275","display_name":"Lecture hall","level":2,"score":0.7016789317131042},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.7014003992080688},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5905142426490784},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5716304779052734},{"id":"https://openalex.org/C204911207","wikidata":"https://www.wikidata.org/wiki/Q860609","display_name":"Generating function","level":2,"score":0.519511342048645},{"id":"https://openalex.org/C1893757","wikidata":"https://www.wikidata.org/wiki/Q3653001","display_name":"Inversion (geology)","level":3,"score":0.5056576728820801},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.41904813051223755},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3551587462425232},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3380865454673767},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15125572681427002},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09171321988105774},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C109007969","wikidata":"https://www.wikidata.org/wiki/Q749565","display_name":"Structural basin","level":2,"score":0.0},{"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:10.37236/7201","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7201","pdf_url":null,"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:10.37236/7201","is_oa":true,"landing_page_url":"https://doi.org/10.37236/7201","pdf_url":null,"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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4313895414","https://openalex.org/W3191134132","https://openalex.org/W2949502838","https://openalex.org/W4287062960","https://openalex.org/W3041175538","https://openalex.org/W2100219346","https://openalex.org/W2963342620","https://openalex.org/W1964382976","https://openalex.org/W3122768947","https://openalex.org/W4300186027"],"abstract_inverted_index":{"In":[0],"1997":[1],"Bousquet-M\u00e9lou":[2],"and":[3,50],"Eriksson":[4],"introduced":[5],"lecture":[6,61],"hall":[7,62],"partitions":[8,63],"as":[9],"the":[10,16,38,42],"inversion":[11],"vectors":[12],"of":[13,15,25],"elements":[14],"parabolic":[17],"quotient":[18],"$\\widetilde{C}/C$.":[19,68],"We":[20,40],"provide":[21],"a":[22],"new":[23,65],"view":[24],"their":[26],"correspondence":[27,53],"that":[28],"allows":[29],"results":[30],"in":[31,47],"one":[32],"domain":[33,49],"to":[34,54,64],"be":[35],"translated":[36],"into":[37],"other.":[39],"determine":[41],"equivalence":[43],"between":[44],"combinatorial":[45],"statistics":[46],"each":[48],"use":[51],"this":[52],"translate":[55],"certain":[56],"generating":[57],"function":[58],"formulas":[59],"on":[60],"observations":[66],"about":[67]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}