{"id":"https://openalex.org/W2057012000","doi":"https://doi.org/10.1088/0305-4470/32/35/303","title":"Two-dimensional fractional supersymmetry from the quantum Poincar\u00e9 group at roots of unity","display_name":"Two-dimensional fractional supersymmetry from the quantum Poincar\u00e9 group at roots of unity","publication_year":1999,"publication_date":"1999-08-19","ids":{"openalex":"https://openalex.org/W2057012000","doi":"https://doi.org/10.1088/0305-4470/32/35/303","mag":"2057012000"},"language":"en","primary_location":{"id":"doi:10.1088/0305-4470/32/35/303","doi":"https://doi.org/10.1088/0305-4470/32/35/303","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/32/35/303","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/32/35/303/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://iopscience.iop.org/article/10.1088/0305-4470/32/35/303/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5108765029","display_name":"H. Ahmedov","orcid":"https://orcid.org/0000-0003-2143-234X","observed_orcids":["https://orcid.org/0000-0003-2143-234X"]},"institutions":[{"id":"https://openalex.org/I53150469","display_name":"Feza G\u00fcrsey Institute","ror":"https://ror.org/01h4kpz66","country_code":"TR","type":"facility","lineage":["https://openalex.org/I198068145","https://openalex.org/I4405392","https://openalex.org/I53150469"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Hadji Ahmedov","raw_affiliation_strings":["Feza G\u00fcrsey Institute, PO Box 6, 81220 \u00c7engelk\u00f6y, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feza G\u00fcrsey Institute, PO Box 6, 81220 \u00c7engelk\u00f6y, Istanbul, Turkey","institution_ids":["https://openalex.org/I53150469"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049948910","display_name":"Omer Faruk Dayi","orcid":"https://orcid.org/0000-0001-9794-5657","observed_orcids":["https://orcid.org/0000-0001-9794-5657"]},"institutions":[{"id":"https://openalex.org/I48912391","display_name":"Istanbul Technical University","ror":"https://ror.org/059636586","country_code":"TR","type":"education","lineage":["https://openalex.org/I48912391"]},{"id":"https://openalex.org/I53150469","display_name":"Feza G\u00fcrsey Institute","ror":"https://ror.org/01h4kpz66","country_code":"TR","type":"facility","lineage":["https://openalex.org/I198068145","https://openalex.org/I4405392","https://openalex.org/I53150469"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"\u00d6mer F Dayi","raw_affiliation_strings":["Feza G\u00fcrsey Institute, PO Box 6, 81220 \u00c7engelk\u00f6y, Istanbul, Turkey","Physics Department, Faculty of Science and Letters, Istanbul Technical University, 80626 Maslak, Istanbul, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Feza G\u00fcrsey Institute, PO Box 6, 81220 \u00c7engelk\u00f6y, Istanbul, Turkey","institution_ids":["https://openalex.org/I53150469"]},{"raw_affiliation_string":"Physics Department, Faculty of Science and Letters, Istanbul Technical University, 80626 Maslak, Istanbul, Turkey","institution_ids":["https://openalex.org/I48912391"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":4.1623,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.93718064,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":95},"biblio":{"volume":"32","issue":"35","first_page":"6247","last_page":"6253"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.9014000296592712,"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":0.9014000296592712,"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":0.032099999487400055,"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/T10025","display_name":"Black Holes and Theoretical Physics","score":0.017799999564886093,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fractional-supersymmetry","display_name":"fractional supersymmetry","score":0.9539999961853027},{"id":"https://openalex.org/keywords/two-dimensional-supersymmetry","display_name":"two-dimensional supersymmetry","score":0.9380000233650208},{"id":"https://openalex.org/keywords/roots-of-unity","display_name":"roots of unity","score":0.9929999709129333},{"id":"https://openalex.org/keywords/quantum-groups","display_name":"quantum groups","score":0.7139999866485596},{"id":"https://openalex.org/keywords/dual-quantum-groups","display_name":"dual quantum group","score":0.6430000066757202},{"id":"https://openalex.org/keywords/irreducible-representations","display_name":"irreducible representations","score":0.9929999709129333}],"concepts":[{"id":"https://openalex.org/C116674579","wikidata":"https://www.wikidata.org/wiki/Q193442","display_name":"Supersymmetry","level":2,"score":0.6771000027656555},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.6430000066757202},{"id":"https://openalex.org/C206343339","wikidata":"https://www.wikidata.org/wiki/Q756747","display_name":"Root of unity","level":3,"score":0.5253999829292297},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.5023000240325928},{"id":"https://openalex.org/C113736593","wikidata":"https://www.wikidata.org/wiki/Q1066449","display_name":"Poincar\u00e9 group","level":3,"score":0.47870001196861267},{"id":"https://openalex.org/C16926220","wikidata":"https://www.wikidata.org/wiki/Q3611549","display_name":"Supersymmetry algebra","level":4,"score":0.4749000072479248},{"id":"https://openalex.org/C148647251","wikidata":"https://www.wikidata.org/wiki/Q2122223","display_name":"Quantum group","level":3,"score":0.45100000500679016},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.42989999055862427},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4291999936103821},{"id":"https://openalex.org/C142292226","wikidata":"https://www.wikidata.org/wiki/Q13690522","display_name":"Irreducible representation","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3921000063419342},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.3864000141620636},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.38530001044273376},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.38100001215934753},{"id":"https://openalex.org/C81651864","wikidata":"https://www.wikidata.org/wiki/Q874429","display_name":"Group theory","level":2,"score":0.37950000166893005},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3522000014781952},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.3474000096321106},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.34610000252723694},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.3456000089645386},{"id":"https://openalex.org/C2778926657","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum system","level":3,"score":0.2906999886035919},{"id":"https://openalex.org/C120047569","wikidata":"https://www.wikidata.org/wiki/Q92795049","display_name":"Group algebra","level":3,"score":0.2784000039100647},{"id":"https://openalex.org/C115047598","wikidata":"https://www.wikidata.org/wiki/Q54505","display_name":"Quantum field theory","level":2,"score":0.2538999915122986}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1088/0305-4470/32/35/303","doi":"https://doi.org/10.1088/0305-4470/32/35/303","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/32/35/303","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/32/35/303/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:math/9903093","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/abs/math/9903093","pdf_url":"https://arxiv.org/pdf/math/9903093","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":"pmh:oai:polen.itu.edu.tr:11527/59593","doi":null,"is_oa":false,"landing_page_url":"https://hdl.handle.net/11527/59593","pdf_url":null,"source":{"id":"https://openalex.org/S4306400460","display_name":"Istanbul Technical University Academic Open Archive (Istanbul Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I48912391","host_organization_name":"Istanbul Technical University","host_organization_lineage":["https://openalex.org/I48912391"],"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":"Article"},{"id":"doi:10.48550/arxiv.math/9903093","doi":"https://doi.org/10.48550/arxiv.math/9903093","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.math/9903093","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":"doi:10.1088/0305-4470/32/35/303","doi":"https://doi.org/10.1088/0305-4470/32/35/303","is_oa":true,"landing_page_url":"https://doi.org/10.1088/0305-4470/32/35/303","pdf_url":"https://iopscience.iop.org/article/10.1088/0305-4470/32/35/303/pdf","source":{"id":"https://openalex.org/S4210167992","display_name":"Journal of Physics A Mathematical and General","issn_l":"0305-4470","issn":["0305-4470","1361-6447"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core"],"host_organization":"https://openalex.org/P4310311669","host_organization_name":"Institute of Physics","host_organization_lineage":["https://openalex.org/P4310311669"],"host_organization_lineage_names":["Institute of Physics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Physics A: Mathematical and General","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2057012000.pdf","grobid_xml":"https://content.openalex.org/works/W2057012000.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1836245661","https://openalex.org/W2092348026","https://openalex.org/W2099389871","https://openalex.org/W2145511105","https://openalex.org/W2150931349","https://openalex.org/W3037019279","https://openalex.org/W4239660657"],"related_works":["https://openalex.org/W2028276886","https://openalex.org/W2003204279","https://openalex.org/W2054034528","https://openalex.org/W2044737808","https://openalex.org/W2052029564","https://openalex.org/W1842505720","https://openalex.org/W2328156154","https://openalex.org/W2074712558","https://openalex.org/W7099746924","https://openalex.org/W2275008163"],"abstract_inverted_index":{"A":[0],"group":[1,28],"theoretical":[2],"understanding":[3],"of":[4,13,19,40,47],"the":[5,14,26,35],"two-dimensional":[6],"fractional":[7,22],"supersymmetry":[8,23],"is":[9],"given":[10],"in":[11],"terms":[12],"quantum":[15,27],"Poincar\u00e9group":[16],"at":[17],"roots":[18],"unity.":[20],"The":[21,44],"algebra":[24],"and":[25,34,37],"dual":[29],"to":[30],"it":[31],"are":[32,42,50],"presented":[33],"pseudo-unitary":[36],"irreducible":[38],"representations":[39,49],"them":[41],"obtained.":[43],"matrix":[45],"elements":[46],"these":[48],"explicitly":[51],"constructed.":[52]},"counts_by_year":[{"year":2018,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}