{"id":"https://openalex.org/W4402527378","doi":"https://doi.org/10.1142/s0218196724500474","title":"Rota\u2013Baxter operators and skew left brace structures over Heisenberg group","display_name":"Rota\u2013Baxter operators and skew left brace structures over Heisenberg group","publication_year":2024,"publication_date":"2024-09-13","ids":{"openalex":"https://openalex.org/W4402527378","doi":"https://doi.org/10.1142/s0218196724500474"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196724500474","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500474","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":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5057706941","display_name":"Nishant Rathee","orcid":null},"institutions":[{"id":"https://openalex.org/I165916956","display_name":"Indian Institute of Science Education and Research Mohali","ror":"https://ror.org/01vztzd79","country_code":"IN","type":"education","lineage":["https://openalex.org/I165916956"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Nishant Rathee","raw_affiliation_strings":["Department of Mathematical Sciences, Indian Institute of Science Education and Research, Mohali, Sector 81, SAS Nagar, P. O. Manauli, Punjab 140306, India"],"raw_orcid":"https://orcid.org/0000-0001-8199-9335","affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Indian Institute of Science Education and Research, Mohali, Sector 81, SAS Nagar, P. O. Manauli, Punjab 140306, India","institution_ids":["https://openalex.org/I165916956"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057706941"],"corresponding_institution_ids":["https://openalex.org/I165916956"],"apc_list":null,"apc_paid":null,"fwci":3.5237,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.93347115,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"34","issue":"08","first_page":"1191","last_page":"1207"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9983000159263611,"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/T10896","display_name":"Homotopy and Cohomology in Algebraic Topology","score":0.9951000213623047,"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"}},{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9886000156402588,"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/mathematics","display_name":"Mathematics","score":0.8742822408676147},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.7881249189376831},{"id":"https://openalex.org/keywords/brace","display_name":"Brace","score":0.7536346912384033},{"id":"https://openalex.org/keywords/heisenberg-group","display_name":"Heisenberg group","score":0.5144343972206116},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.500812292098999},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.42481809854507446},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.33201444149017334},{"id":"https://openalex.org/keywords/structural-engineering","display_name":"Structural engineering","score":0.06944766640663147},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06187787652015686},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.03567788004875183}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8742822408676147},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7881249189376831},{"id":"https://openalex.org/C2779793219","wikidata":"https://www.wikidata.org/wiki/Q2662870","display_name":"Brace","level":2,"score":0.7536346912384033},{"id":"https://openalex.org/C127519595","wikidata":"https://www.wikidata.org/wiki/Q1601337","display_name":"Heisenberg group","level":2,"score":0.5144343972206116},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.500812292098999},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.42481809854507446},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.33201444149017334},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.06944766640663147},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06187787652015686},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.03567788004875183},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196724500474","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196724500474","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W28742029","https://openalex.org/W1829744333","https://openalex.org/W2000968488","https://openalex.org/W2302011925","https://openalex.org/W2963493704","https://openalex.org/W3083804758","https://openalex.org/W3135062358","https://openalex.org/W4205495576","https://openalex.org/W4234723126","https://openalex.org/W4243055393","https://openalex.org/W4321207612","https://openalex.org/W4391436188","https://openalex.org/W4400018502"],"related_works":["https://openalex.org/W2039982706","https://openalex.org/W2990021029","https://openalex.org/W1854890619","https://openalex.org/W2397852956","https://openalex.org/W2551499063","https://openalex.org/W24994384","https://openalex.org/W2046223316","https://openalex.org/W2165717376","https://openalex.org/W2164625777","https://openalex.org/W2415397981"],"abstract_inverted_index":{"Rota\u2013Baxter":[0,20,45,65,139],"operators":[1,66,119],"on":[2,70,120,132],"groups":[3],"have":[4],"been":[5],"recently":[6],"defined":[7],"in":[8,39],"[L.":[9],"Guo,":[10],"H.":[11],"Lang":[12],"and":[13,17,28,42,50],"Y.":[14],"Sheng,":[15],"Integration":[16],"geometrization":[18],"of":[19,67,75,84,93],"Lie":[21,73,96,108],"algebras,":[22],"Adv.":[23],"Math.":[24],"387":[25],"(2021)":[26],"107834],":[27],"they":[29],"share":[30],"a":[31,85],"close":[32],"connection":[33],"with":[34],"skew":[35,47,128],"braces,":[36,49],"as":[37],"demonstrated":[38],"[V.":[40],"Bardakov":[41],"V.":[43],"Gubarev,":[44],"groups,":[46],"left":[48,129],"the":[51,71,80,94,99,102,106,111,121,133],"Yang\u2013Baxter":[52],"equation,":[53],"J.":[54],"Algebra":[55],"587":[56],"(2022)":[57],"328\u2013351].":[58],"In":[59],"this":[60],"paper,":[61],"we":[62,116,125],"classify":[63],"all":[64,127],"weight":[68],"1":[69],"Heisenberg":[72,95,107,112,122,134],"algebra":[74,109],"dimension":[76],"3":[77],"up":[78],"to":[79,110],"Jordan":[81],"canonical":[82],"form":[83],"[Formula:":[86],"see":[87],"text]":[88],"matrix":[89],"block":[90],"by":[91,137],"automorphisms":[92],"algebra.":[97],"Using":[98],"fact":[100],"that":[101],"exponential":[103],"map":[104],"from":[105],"group":[113,135],"is":[114],"bijective,":[115],"induce":[117],"these":[118,138],"group.":[123],"Finally,":[124],"enumerate":[126],"brace":[130],"structures":[131],"induced":[136],"operators.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}