{"id":"https://openalex.org/W2051827858","doi":"https://doi.org/10.1142/s0218196713400092","title":"ON SOME NONCOMMUTATIVE SYMMETRIC FUNCTIONS ANALOGOUS TO HALL\u2013LITTLEWOOD AND MACDONALD POLYNOMIALS","display_name":"ON SOME NONCOMMUTATIVE SYMMETRIC FUNCTIONS ANALOGOUS TO HALL\u2013LITTLEWOOD AND MACDONALD POLYNOMIALS","publication_year":2013,"publication_date":"2013-04-10","ids":{"openalex":"https://openalex.org/W2051827858","doi":"https://doi.org/10.1142/s0218196713400092","mag":"2051827858"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196713400092","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196713400092","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1304.6538","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051272665","display_name":"Jean-Christophe Novelli","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"JEAN-CHRISTOPHE NOVELLI","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est Marne-la-Vall\u00e9e, 77454 Marne-la-Vall\u00e9e Cedex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est Marne-la-Vall\u00e9e, 77454 Marne-la-Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210154111"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063422166","display_name":"Lenny Tevlin","orcid":null},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"LENNY TEVLIN","raw_affiliation_strings":["Liberal Studies, New York University, 726 Broadway, New York, N. Y. 10003, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Liberal Studies, New York University, 726 Broadway, New York, N. Y. 10003, USA","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085392129","display_name":"Jean\u2010Yves Thibon","orcid":"https://orcid.org/0000-0002-8976-4044"},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"JEAN-YVES THIBON","raw_affiliation_strings":["Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est Marne-la-Vall\u00e9e, 77454 Marne-la-Vall\u00e9e Cedex 2, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique Gaspard-Monge, Universit\u00e9 Paris-Est Marne-la-Vall\u00e9e, 77454 Marne-la-Vall\u00e9e Cedex 2, France","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I4210154111"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5637,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.6387987,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"23","issue":"04","first_page":"779","last_page":"801"},"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":0.9998999834060669,"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/T11428","display_name":"Advanced Mathematical Identities","score":0.9995999932289124,"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/noncommutative-geometry","display_name":"Noncommutative geometry","score":0.9290385842323303},{"id":"https://openalex.org/keywords/symmetric-function","display_name":"Symmetric function","score":0.8525291681289673},{"id":"https://openalex.org/keywords/macdonald-polynomials","display_name":"Macdonald polynomials","score":0.8258219957351685},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8150262832641602},{"id":"https://openalex.org/keywords/ring-of-symmetric-functions","display_name":"Ring of symmetric functions","score":0.6782076954841614},{"id":"https://openalex.org/keywords/complete-homogeneous-symmetric-polynomial","display_name":"Complete homogeneous symmetric polynomial","score":0.5902656316757202},{"id":"https://openalex.org/keywords/koornwinder-polynomials","display_name":"Koornwinder polynomials","score":0.5879430770874023},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4864046573638916},{"id":"https://openalex.org/keywords/schur-polynomial","display_name":"Schur polynomial","score":0.4769690930843353},{"id":"https://openalex.org/keywords/noncommutative-algebraic-geometry","display_name":"Noncommutative algebraic geometry","score":0.44339612126350403},{"id":"https://openalex.org/keywords/stanley-symmetric-function","display_name":"Stanley symmetric function","score":0.4186381995677948},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.36891934275627136},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3669866621494293},{"id":"https://openalex.org/keywords/noncommutative-quantum-field-theory","display_name":"Noncommutative quantum field theory","score":0.3181912899017334},{"id":"https://openalex.org/keywords/difference-polynomials","display_name":"Difference polynomials","score":0.22772234678268433}],"concepts":[{"id":"https://openalex.org/C68797384","wikidata":"https://www.wikidata.org/wiki/Q2746792","display_name":"Noncommutative geometry","level":2,"score":0.9290385842323303},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.8525291681289673},{"id":"https://openalex.org/C171686973","wikidata":"https://www.wikidata.org/wiki/Q17098676","display_name":"Macdonald polynomials","level":4,"score":0.8258219957351685},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8150262832641602},{"id":"https://openalex.org/C156903151","wikidata":"https://www.wikidata.org/wiki/Q17102788","display_name":"Ring of symmetric functions","level":4,"score":0.6782076954841614},{"id":"https://openalex.org/C171436396","wikidata":"https://www.wikidata.org/wiki/Q5156499","display_name":"Complete homogeneous symmetric polynomial","level":5,"score":0.5902656316757202},{"id":"https://openalex.org/C5056958","wikidata":"https://www.wikidata.org/wiki/Q6430769","display_name":"Koornwinder polynomials","level":5,"score":0.5879430770874023},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4864046573638916},{"id":"https://openalex.org/C146922319","wikidata":"https://www.wikidata.org/wiki/Q4298935","display_name":"Schur polynomial","level":5,"score":0.4769690930843353},{"id":"https://openalex.org/C193645952","wikidata":"https://www.wikidata.org/wiki/Q7049219","display_name":"Noncommutative algebraic geometry","level":4,"score":0.44339612126350403},{"id":"https://openalex.org/C78136718","wikidata":"https://www.wikidata.org/wiki/Q7600073","display_name":"Stanley symmetric function","level":5,"score":0.4186381995677948},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.36891934275627136},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3669866621494293},{"id":"https://openalex.org/C29384965","wikidata":"https://www.wikidata.org/wiki/Q7049223","display_name":"Noncommutative quantum field theory","level":3,"score":0.3181912899017334},{"id":"https://openalex.org/C86607863","wikidata":"https://www.wikidata.org/wiki/Q5275279","display_name":"Difference polynomials","level":3,"score":0.22772234678268433}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1142/s0218196713400092","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196713400092","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1304.6538","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1304.6538","pdf_url":"https://arxiv.org/pdf/1304.6538","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":null,"raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.771.221","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.771.221","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1304.6538.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-00823074v1","is_oa":false,"landing_page_url":"https://hal.science/hal-00823074","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Algebra and Computation, 2013, 23 (04), pp.779.1-779.20. &#x27E8;10.1142/S0218196713400092&#x27E9;","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1304.6538","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1304.6538","pdf_url":"https://arxiv.org/pdf/1304.6538","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":null,"raw_type":"text"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities","score":0.4699999988079071}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1659648688","https://openalex.org/W1916405817","https://openalex.org/W1965909478","https://openalex.org/W1973953918","https://openalex.org/W1984636329","https://openalex.org/W1996204119","https://openalex.org/W2067806078","https://openalex.org/W2074762481","https://openalex.org/W2091393573","https://openalex.org/W2122417614","https://openalex.org/W2129126080","https://openalex.org/W2134984950","https://openalex.org/W2951839362","https://openalex.org/W3102313969"],"related_works":["https://openalex.org/W2949691349","https://openalex.org/W188141326","https://openalex.org/W2134984950","https://openalex.org/W3045701420","https://openalex.org/W4387355916","https://openalex.org/W4211222368","https://openalex.org/W3013709019","https://openalex.org/W1560962904","https://openalex.org/W2401068015","https://openalex.org/W815153619"],"abstract_inverted_index":{"We":[0],"investigate":[1],"the":[2],"connections":[3],"between":[4],"various":[5],"noncommutative":[6,19],"analogues":[7],"of":[8,18,26],"Hall\u2013Littlewood":[9],"and":[10,13],"Macdonald":[11],"polynomials,":[12],"define":[14],"some":[15],"new":[16],"families":[17],"symmetric":[20],"functions":[21],"depending":[22],"on":[23],"two":[24],"sequences":[25],"parameters.":[27]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
