{"id":"https://openalex.org/W7220984665","doi":"https://doi.org/10.48550/arxiv.2610.08251","title":"Character recurrences and level one formulas for $B_2^{(1)}$","display_name":"Character recurrences and level one formulas for $B_2^{(1)}$","publication_year":2026,"publication_date":"2026-10-06","ids":{"openalex":"https://openalex.org/W7220984665","doi":"https://doi.org/10.48550/arxiv.2610.08251"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2610.08251","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08251","pdf_url":"https://arxiv.org/pdf/2610.08251","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"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2610.08251","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082697714","display_name":"Miroslav Jerkovi\u0107","orcid":"https://orcid.org/0009-0004-9977-4360","observed_orcids":["https://orcid.org/0009-0004-9977-4360"]},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Jerkovic, Miroslav","raw_affiliation_strings":["University of Zagreb Faculty of Chemical Engineering and Technology , Maruli\u0107ev trg 19 , HR-10000 Zagreb , Croatia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Zagreb Faculty of Chemical Engineering and Technology , Maruli\u0107ev trg 19 , HR-10000 Zagreb , Croatia","institution_ids":["https://openalex.org/I181343428"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5082697714"],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9491999745368958,"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":0.9491999745368958,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.023900000378489494,"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":0.01759999990463257,"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/formal-characters","display_name":"formal characters","score":0.7829999923706055},{"id":"https://openalex.org/keywords/recurrence-relations","display_name":"recurrence relations","score":0.7990000247955322},{"id":"https://openalex.org/keywords/fermionic-formula","display_name":"fermionic formula","score":0.8510000109672546}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8504999876022339},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7508999705314636},{"id":"https://openalex.org/C2780861071","wikidata":"https://www.wikidata.org/wiki/Q1062934","display_name":"Character (mathematics)","level":2,"score":0.6484000086784363},{"id":"https://openalex.org/C61797465","wikidata":"https://www.wikidata.org/wiki/Q1188986","display_name":"Term (time)","level":2,"score":0.6198999881744385},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.5956000089645386},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5442000031471252},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5335999727249146},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5167999863624573},{"id":"https://openalex.org/C201292218","wikidata":"https://www.wikidata.org/wiki/Q740970","display_name":"Recurrence relation","level":2,"score":0.5109000205993652},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4684000015258789},{"id":"https://openalex.org/C46132437","wikidata":"https://www.wikidata.org/wiki/Q6901742","display_name":"Monomial basis","level":3,"score":0.46320000290870667},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.44769999384880066},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.42739999294281006},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4066999852657318},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.3977000117301941},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.3393000066280365},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33180001378059387},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32899999618530273},{"id":"https://openalex.org/C198082693","wikidata":"https://www.wikidata.org/wiki/Q1551631","display_name":"Gr\u00f6bner basis","level":3,"score":0.30720001459121704},{"id":"https://openalex.org/C151746172","wikidata":"https://www.wikidata.org/wiki/Q1003025","display_name":"Formal power series","level":3,"score":0.29899999499320984},{"id":"https://openalex.org/C2776401178","wikidata":"https://www.wikidata.org/wiki/Q12050496","display_name":"Feature (linguistics)","level":2,"score":0.25760000944137573},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.2549999952316284}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2610.08251","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08251","pdf_url":"https://arxiv.org/pdf/2610.08251","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.2610.08251","doi":"https://doi.org/10.48550/arxiv.2610.08251","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2610.08251","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2610.08251","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2610.08251","pdf_url":"https://arxiv.org/pdf/2610.08251","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":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7220984665.pdf","grobid_xml":"https://content.openalex.org/works/W7220984665.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W7099755057","https://openalex.org/W1992236345","https://openalex.org/W4298129802","https://openalex.org/W2950133039","https://openalex.org/W2050742866","https://openalex.org/W7098841354","https://openalex.org/W1847590905","https://openalex.org/W2962774101","https://openalex.org/W2027103107","https://openalex.org/W7099640554"],"abstract_inverted_index":{"We":[0,45,87],"obtain":[1,80],"recurrence":[2,76],"relations":[3],"for":[4,83,97],"formal":[5,64],"characters":[6,65,91],"of":[7,11,105],"Feigin-Stoyanovsky":[8],"type":[9,34],"subspaces":[10],"standard":[12,106],"$B_2^{(1)}$-modules":[13],"at":[14,66],"fixed":[15,67],"level.":[16],"The":[17],"recurrences":[18],"are":[19],"derived":[20],"directly":[21],"from":[22],"the":[23,36,53,58,75,93,101],"combinatorial":[24],"bases":[25],"described":[26],"by":[27],"difference":[28],"and":[29,50,79],"initial":[30],"conditions.":[31],"Unlike":[32],"in":[33,39],"$A_\\ell^{(1)}$,":[35],"right":[37],"side":[38],"general":[40],"involves":[41],"several":[42],"shifted":[43],"characters.":[44,86],"give":[46],"explicit":[47],"polynomial":[48],"coefficients":[49],"prove":[51],"that":[52],"resulting":[54],"system,":[55],"together":[56],"with":[57],"constant":[59],"term":[60],"normalization,":[61],"determines":[62],"all":[63,84],"level":[68,71],"uniquely.":[69],"At":[70],"$1$":[72],"we":[73],"solve":[74],"system":[77],"explicitly":[78],"fermionic":[81],"formulas":[82],"three":[85],"also":[88],"relate":[89],"these":[90],"to":[92],"multigraded":[94],"generating":[95],"functions":[96],"exponent":[98],"triples":[99],"parametrizing":[100],"Meurman-Primc":[102],"monomial":[103],"basis":[104],"$A_1^{(1)}$-modules.":[107]},"counts_by_year":[],"updated_date":"2026-11-06T12:05:46.655746","created_date":"2026-10-09T00:00:00"}