{"id":"https://openalex.org/W4392199746","doi":"https://doi.org/10.1093/imrn/rnae029","title":"Shuffle Algebras and Their Integral Forms: Specialization Map Approach in Types B n and G 2","display_name":"Shuffle Algebras and Their Integral Forms: Specialization Map Approach in Types B n and G 2","publication_year":2024,"publication_date":"2024-01-30","ids":{"openalex":"https://openalex.org/W4392199746","doi":"https://doi.org/10.1093/imrn/rnae029"},"language":"en","primary_location":{"id":"doi:10.1093/imrn/rnae029","doi":"https://doi.org/10.1093/imrn/rnae029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imrn/rnae029","pdf_url":null,"source":{"id":"https://openalex.org/S111381568","display_name":"International Mathematics Research Notices","issn_l":"1073-7928","issn":["1073-7928","1687-0247"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Mathematics Research Notices","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2305.00810","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5010983303","display_name":"Yue Hu","orcid":"https://orcid.org/0000-0001-8024-9241","observed_orcids":["https://orcid.org/0000-0001-8024-9241"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yue Hu","raw_affiliation_strings":["Beijing University of Posts and Telecommunications , School of Science, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications , School of Science, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063523546","display_name":"Alexander Tsymbaliuk","orcid":"https://orcid.org/0000-0002-9099-3186","observed_orcids":["https://orcid.org/0000-0002-9099-3186"]},"institutions":[{"id":"https://openalex.org/I219193219","display_name":"Purdue University West Lafayette","ror":"https://ror.org/02dqehb95","country_code":"US","type":"education","lineage":["https://openalex.org/I219193219"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alexander Tsymbaliuk","raw_affiliation_strings":["Purdue University , Department of Mathematics, West Lafayette, IN 47907, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Purdue University , Department of Mathematics, West Lafayette, IN 47907, USA","institution_ids":["https://openalex.org/I219193219"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5063523546"],"corresponding_institution_ids":["https://openalex.org/I219193219"],"apc_list":{"value":4534,"currency":"USD","value_usd":4534},"apc_paid":null,"fwci":0.9276,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.64225608,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"2024","issue":"7","first_page":"6259","last_page":"6302"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9868000149726868,"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":0.9868000149726868,"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/T11673","display_name":"Advanced Topics in Algebra","score":0.004699999932199717,"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/T11680","display_name":"Advanced Algebra and Geometry","score":0.0020000000949949026,"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/shuffle-algebras","display_name":"shuffle algebra","score":0.9959999918937683},{"id":"https://openalex.org/keywords/quantum-loop-algebras","display_name":"quantum loop algebras","score":0.9729999899864197},{"id":"https://openalex.org/keywords/drinfeld-realization","display_name":"Drinfeld realization","score":0.9459999799728394},{"id":"https://openalex.org/keywords/yangian","display_name":"Yangian","score":0.746999979019165},{"id":"https://openalex.org/keywords/type-g2","display_name":"type G2","score":0.847000002861023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8735255599021912},{"id":"https://openalex.org/C105313907","wikidata":"https://www.wikidata.org/wiki/Q1053857","display_name":"Dual polyhedron","level":2,"score":0.8647208213806152},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.8321558237075806},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.7558197379112244},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5666483640670776},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4978907108306885},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.44398602843284607},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.41347578167915344},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32474106550216675},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.05543491244316101},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.04570639133453369},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1093/imrn/rnae029","doi":"https://doi.org/10.1093/imrn/rnae029","is_oa":false,"landing_page_url":"https://doi.org/10.1093/imrn/rnae029","pdf_url":null,"source":{"id":"https://openalex.org/S111381568","display_name":"International Mathematics Research Notices","issn_l":"1073-7928","issn":["1073-7928","1687-0247"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-b","jufo-2","norway-2","poland-140","russia-white-list-1"],"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Mathematics Research Notices","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:2305.00810","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00810","pdf_url":"https://arxiv.org/pdf/2305.00810","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"doi:10.48550/arxiv.2305.00810","doi":"https://doi.org/10.48550/arxiv.2305.00810","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2305.00810","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2305.00810","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/2305.00810","pdf_url":"https://arxiv.org/pdf/2305.00810","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320322392","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549"},{"id":"https://openalex.org/F4320337380","display_name":"Division of Mathematical Sciences","ror":"https://ror.org/051fftw81"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4392199746.pdf","grobid_xml":"https://content.openalex.org/works/W4392199746.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1838480605","https://openalex.org/W1967849834","https://openalex.org/W2003385857","https://openalex.org/W2010509243","https://openalex.org/W2010662664","https://openalex.org/W2012814408","https://openalex.org/W2013998093","https://openalex.org/W2027044855","https://openalex.org/W2034132016","https://openalex.org/W2044271998","https://openalex.org/W2046115991","https://openalex.org/W2074489705","https://openalex.org/W2089065799","https://openalex.org/W2099607458","https://openalex.org/W2111545725","https://openalex.org/W2590851631","https://openalex.org/W2899146948","https://openalex.org/W2975299551","https://openalex.org/W3024149643","https://openalex.org/W3101441908","https://openalex.org/W3104831434","https://openalex.org/W3105686452","https://openalex.org/W3122543758","https://openalex.org/W3130118343","https://openalex.org/W4231234913","https://openalex.org/W4253576625","https://openalex.org/W4385627145","https://openalex.org/W6638898841"],"related_works":["https://openalex.org/W4416451961","https://openalex.org/W2946464101","https://openalex.org/W4385627236","https://openalex.org/W4297793630","https://openalex.org/W4415802288","https://openalex.org/W2975674752","https://openalex.org/W4283702596","https://openalex.org/W7140304345","https://openalex.org/W3130118343","https://openalex.org/W2975299551"],"abstract_inverted_index":{"Abstract":[0],"We":[1,40],"construct":[2],"a":[3,43],"family":[4],"of":[5,13,17,47,75,78,89,96],"PBWD":[6],"(Poincar\u00e9-Birkhoff-Witt-Drinfeld)":[7],"bases":[8],"for":[9],"the":[10,36,61,64,92],"positive":[11,76],"subalgebras":[12,77],"quantum":[14],"loop":[15],"algebras":[16],"type":[18,30,79,93],"$B_{n}$":[19,31,80],"and":[20,27,59,81,84],"$G_{2}$,":[21],"as":[22,24],"well":[23],"their":[25,85],"Lusztig":[26],"RTT":[28],"(for":[29],"only)":[32],"integral":[33],"forms,":[34],"in":[35,53],"new":[37],"Drinfeld":[38],"realization.":[39],"also":[41],"establish":[42],"shuffle":[44,72],"algebra":[45,73],"realization":[46],"these":[48],"${\\mathbb":[49],"{Q}}(v)$-algebras":[50],"(proved":[51],"earlier":[52],"[26]":[54],"by":[55],"completely":[56],"different":[57],"tools)":[58],"generalize":[60],"latter":[62],"to":[63],"above":[65],"${{\\mathbb":[66],"{Z}}}[v,v^{-1}]$-forms.":[67],"The":[68],"rational":[69],"counterparts":[70],"provide":[71],"realizations":[74],"$G_{2}$":[82],"Yangians":[83],"Drinfeld-Gavarini":[86],"duals.":[87],"All":[88],"this":[90],"generalizes":[91],"$A_{n}$":[94],"results":[95],"[30].":[97]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2024-02-28T00:00:00"}