{"id":"https://openalex.org/W3105464243","doi":null,"title":"Duality principle and braided geometry","display_name":"Duality principle and braided geometry","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W3105464243","mag":"3105464243"},"language":"en","primary_location":{"id":"pmh:oai:CiteSeerX.psu:10.1.1.641.6202","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.641.6202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.univie.ac.at/~esiprpr/esi131.pdf","raw_type":"text"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Majid, S","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Majid, S","raw_affiliation_strings":["DAMTP, University of Cambridge, C133 9EW, Cambridge, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DAMTP, University of Cambridge, C133 9EW, Cambridge, UK","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","author":{"id":null,"display_name":"Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cambridge Univ. (United Kingdom). Dept. of Applied Mathematics and Theoretical Physics","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.2967,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.65914799,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":95},"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/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9106000065803528,"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"}},"topics":[{"id":"https://openalex.org/T11415","display_name":"Noncommutative and Quantum Gravity Theories","score":0.9106000065803528,"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"}},{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.049400001764297485,"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":0.013500000350177288,"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/duality-principle","display_name":"duality principle","score":0.9779999852180481},{"id":"https://openalex.org/keywords/hopf-algebras","display_name":"Hopf algebras","score":0.9210000038146973},{"id":"https://openalex.org/keywords/quantum-geometry","display_name":"quantum geometry","score":0.9800000190734863},{"id":"https://openalex.org/keywords/planck-scale-physics","display_name":"Planck-scale physics","score":0.9020000100135803},{"id":"https://openalex.org/keywords/poisson-lie-groups","display_name":"Poisson-Lie groups","score":0.8529999852180481},{"id":"https://openalex.org/keywords/braid-groups","display_name":"braid groups","score":0.9900000095367432}],"concepts":[{"id":"https://openalex.org/C535169671","wikidata":"https://www.wikidata.org/wiki/Q17080006","display_name":"Semiclassical physics","level":3,"score":0.8107395172119141},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6214872598648071},{"id":"https://openalex.org/C192638945","wikidata":"https://www.wikidata.org/wiki/Q468999","display_name":"Planck scale","level":4,"score":0.5835542678833008},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.5235462188720703},{"id":"https://openalex.org/C32848918","wikidata":"https://www.wikidata.org/wiki/Q845789","display_name":"Observable","level":2,"score":0.5196282267570496},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.49443912506103516},{"id":"https://openalex.org/C2779886137","wikidata":"https://www.wikidata.org/wiki/Q21030012","display_name":"Symmetry (geometry)","level":2,"score":0.49411728978157043},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.49242103099823},{"id":"https://openalex.org/C100906024","wikidata":"https://www.wikidata.org/wiki/Q205692","display_name":"Poisson distribution","level":2,"score":0.4485373795032501},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4281715154647827},{"id":"https://openalex.org/C53250935","wikidata":"https://www.wikidata.org/wiki/Q2122184","display_name":"Quantum geometry","level":5,"score":0.42756545543670654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3522194027900696},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.2983090877532959},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25635552406311035},{"id":"https://openalex.org/C108568745","wikidata":"https://www.wikidata.org/wiki/Q234181","display_name":"Quantum gravity","level":3,"score":0.09943661093711853},{"id":"https://openalex.org/C15184713","wikidata":"https://www.wikidata.org/wiki/Q7269042","display_name":"Quantum dynamics","level":3,"score":0.08728891611099243},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C43682372","wikidata":"https://www.wikidata.org/wiki/Q7269080","display_name":"Quantum operation","level":4,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:CiteSeerX.psu:10.1.1.641.6202","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.641.6202","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mat.univie.ac.at/~esiprpr/esi131.pdf","raw_type":"text"},{"id":"pmh:hdl:10068/652108","doi":null,"is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/652108","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"R - Report"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1661352576","https://openalex.org/W1781436871","https://openalex.org/W1836088989","https://openalex.org/W1850619887","https://openalex.org/W1965303461","https://openalex.org/W1971948316","https://openalex.org/W1975298057","https://openalex.org/W1982015938","https://openalex.org/W1986644348","https://openalex.org/W1988673248","https://openalex.org/W1992287845","https://openalex.org/W2015818780","https://openalex.org/W2019009552","https://openalex.org/W2020424183","https://openalex.org/W2021845581","https://openalex.org/W2030573666","https://openalex.org/W2039011617","https://openalex.org/W2042521795","https://openalex.org/W2046443883","https://openalex.org/W2064398014","https://openalex.org/W2074171607","https://openalex.org/W2082581851","https://openalex.org/W2083818592","https://openalex.org/W2084543443","https://openalex.org/W2088222292","https://openalex.org/W2091741752","https://openalex.org/W2110248977","https://openalex.org/W2116870865","https://openalex.org/W2138110061","https://openalex.org/W2149947586","https://openalex.org/W2164028379","https://openalex.org/W2227444704","https://openalex.org/W2597074448","https://openalex.org/W2612451553","https://openalex.org/W3000546577","https://openalex.org/W3101204120","https://openalex.org/W3103762749","https://openalex.org/W4248846352"],"related_works":["https://openalex.org/W7096185307","https://openalex.org/W1636388245","https://openalex.org/W7099531503","https://openalex.org/W2098052597","https://openalex.org/W2117365351","https://openalex.org/W7098685243","https://openalex.org/W7101033713","https://openalex.org/W7100865020","https://openalex.org/W7096974052","https://openalex.org/W2212940415"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"give":[2],"an":[3],"overview":[4],"of":[5,26,42,56,63],"a":[6,40],"new":[7],"kind":[8],"symmetry":[9],"in":[10],"physics":[11],"which":[12,19],"exists":[13],"be-tween":[14],"observables":[15],"and":[16,18,29,59,66],"states":[17],"is":[20],"made":[21],"possible":[22],"by":[23,36],"the":[24,37,53,61],"language":[25],"Hopf":[27],"algebras":[28],"quantum":[30],"geometry.":[31,68],"It":[32],"has":[33],"been":[34],"proposed":[35],"author":[38],"as":[39],"feature":[41],"Planck":[43],"scale":[44],"physics.":[45],"More":[46],"recent":[47],"work":[48],"includes":[49],"corresponding":[50],"results":[51],"at":[52,60],"semi-classical":[54],"level":[55,62],"Poisson-Lie":[57],"groups":[58,65],"braided":[64,67]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2020-11-23T00:00:00"}
