{"id":"https://openalex.org/W143080109","doi":null,"title":"Remark on Poincar\\'e duality for $SU_q(2)$","display_name":"Remark on Poincar\\'e duality for $SU_q(2)$","publication_year":2002,"publication_date":"2002-11-23","ids":{"openalex":"https://openalex.org/W143080109","mag":"143080109"},"language":"en","primary_location":{"id":"mag:143080109","doi":null,"is_oa":true,"landing_page_url":"http://ui.adsabs.harvard.edu/abs/2002math.....11367S/abstract","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"parent_works":[],"lineage":["https://openalex.org/W143080109"],"child_works_count":0,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://ui.adsabs.harvard.edu/abs/2002math.....11367S/abstract","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101864802","display_name":"Partha Sarathi Chakraborty","orcid":"https://orcid.org/0000-0003-2747-1112","observed_orcids":["https://orcid.org/0000-0003-2747-1112"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Partha Sarathi Chakraborty","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-2747-1112","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5008549880","display_name":"Arupkumar Pal","orcid":"https://orcid.org/0000-0002-2469-4137","observed_orcids":["https://orcid.org/0000-0002-2469-4137"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Arupkumar Pal","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T10899","display_name":"Advanced Operator Algebra Research","score":0.9994999766349792,"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/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0,"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":0.0,"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/poincare-duality","display_name":"Poincar\u00e9 duality","score":0.984000027179718},{"id":"https://openalex.org/keywords/suq-2","display_name":"SUq(2)","score":0.9449999928474426},{"id":"https://openalex.org/keywords/quantum-groups","display_name":"quantum groups","score":0.6949999928474426},{"id":"https://openalex.org/keywords/c-algebras","display_name":"C*-algebras","score":0.8849999904632568},{"id":"https://openalex.org/keywords/modular-conjugation","display_name":"modular conjugation","score":0.9710000157356262},{"id":"https://openalex.org/keywords/noncommutative-geometry","display_name":"noncommutative geometry","score":0.6919999718666077}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.7844276428222656},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6875392198562622},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5757368803024292},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4718732237815857},{"id":"https://openalex.org/C26390989","wikidata":"https://www.wikidata.org/wiki/Q2063099","display_name":"Poincar\u00e9 duality","level":3,"score":0.45778384804725647},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.44082513451576233},{"id":"https://openalex.org/C88221313","wikidata":"https://www.wikidata.org/wiki/Q203586","display_name":"Poincar\u00e9 conjecture","level":2,"score":0.4237947463989258},{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.4145893454551697},{"id":"https://openalex.org/C156778621","wikidata":"https://www.wikidata.org/wiki/Q1365748","display_name":"Spectrum (functional analysis)","level":2,"score":0.41072720289230347},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32409146428108215},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2374230921268463},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19383376836776733},{"id":"https://openalex.org/C78606066","wikidata":"https://www.wikidata.org/wiki/Q1198376","display_name":"Cohomology","level":2,"score":0.12680312991142273},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.12090206146240234},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"mag:143080109","doi":null,"is_oa":true,"landing_page_url":"http://ui.adsabs.harvard.edu/abs/2002math.....11367S/abstract","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.237.5695","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.237.5695","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/math/0211367v1.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.645.7811","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.645.7811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.isid.ac.in/~statmath/eprints/2002/isid200230.pdf","raw_type":"text"}],"best_oa_location":{"id":"mag:143080109","doi":null,"is_oa":true,"landing_page_url":"http://ui.adsabs.harvard.edu/abs/2002math.....11367S/abstract","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1953918150","https://openalex.org/W4242689632","https://openalex.org/W7095784505","https://openalex.org/W1608753857","https://openalex.org/W2115349883","https://openalex.org/W2559150210","https://openalex.org/W2110612849","https://openalex.org/W1615866586","https://openalex.org/W2072363167"],"abstract_inverted_index":{"Let":[0],"A":[1],"be":[2,10,22],"the":[3,11,16,23,44],"C":[4],"\u2217-algebra":[5],"associated":[6],"with":[7,50],"SUq(2),":[8],"J":[9],"modular":[12],"conjugation":[13],"coming":[14],"from":[15],"Haar":[17],"state":[18],"and":[19],"let":[20],"D":[21],"generic":[24],"equivariant":[25],"Dirac":[26],"operator":[27],"for":[28,64],"SUq(2).":[29,65],"We":[30],"prove":[31],"in":[32,40,54],"this":[33],"article":[34],"that":[35,46,56],"there":[36],"is":[37],"no":[38],"element":[39],"JAJ,":[41],"other":[42],"than":[43],"scalars,":[45],"have":[47],"bounded":[48],"commutator":[49],"D.":[51],"This":[52],"shows":[53],"particular":[55],"JAJ":[57],"does":[58],"not":[59],"contain":[60],"any":[61],"Poincar\u00e9":[62],"dual":[63]},"counts_by_year":[],"updated_date":"2026-11-14T11:04:58.165337","created_date":"2016-06-24T00:00:00"}