{"authors":[{"id":null,"fullName":"Fioresi, Rita","name":"Rita","surname":"Fioresi","rank":1,"pid":null},{"id":null,"fullName":"Latini, Emanuele","name":"Emanuele","surname":"Latini","rank":2,"pid":null},{"id":null,"fullName":"Pagani, Chiara","name":"Chiara","surname":"Pagani","rank":3,"pid":null}],"openAccessColor":null,"publiclyFunded":false,"eoscIfGuidelines":null,"type":"publication","language":{"code":"und","label":"Undetermined"},"countries":null,"subjects":[{"subject":{"scheme":"keyword","value":"Mathematics - Quantum Algebra"},"provenance":null},{"subject":{"scheme":"keyword","value":"FOS: Mathematics"},"provenance":null},{"subject":{"scheme":"keyword","value":"Quantum Algebra (math.QA)"},"provenance":null},{"subject":{"scheme":"keyword","value":"FOS: Physical sciences"},"provenance":null},{"subject":{"scheme":"keyword","value":"Mathematical Physics (math-ph)"},"provenance":null},{"subject":{"scheme":"FOS","value":"0101 mathematics"},"provenance":null},{"subject":{"scheme":"FOS","value":"01 natural sciences"},"provenance":null},{"subject":{"scheme":"keyword","value":"Mathematical Physics"},"provenance":null}],"mainTitle":"Reduction of Quantum Principal Bundles over non affine bases","subTitle":null,"descriptions":["In this paper we develop the theory of reduction of quantum principal bundles over projective bases. We show how the sheaf theoretic approach can be effectively applied to certain relevant examples as the Klein model for the projective spaces; in particular we study in the algebraic setting the reduction of the principal bundle $\\mathrm{GL}(n) \\to \\mathrm{GL}(n)/P= \\mathbf{P}^{n-1}(\\mathbb{C})$ to the Levi subgroup $G_0$ inside the maximal parabolic subgroup $P$ of $\\mathrm{GL}(n)$. We characterize reductions in the sheaf theoretic setting.","25 pages"],"publicationDate":"2024-01-01","publisher":null,"embargoEndDate":"2024-03-01","sources":null,"formats":null,"contributors":null,"coverages":null,"bestAccessRight":{"code":"c_abf2","label":"OPEN","scheme":"http://vocabularies.coar-repositories.org/documentation/access_rights/"},"container":null,"documentationUrls":null,"codeRepositoryUrl":null,"programmingLanguage":null,"contactPeople":null,"contactGroups":null,"tools":null,"size":null,"version":null,"geoLocations":null,"id":"doi_dedup___::1b6cbf69f3f73bd95161bc05b3312e8d","originalIds":["50|datacite____::1b6cbf69f3f73bd95161bc05b3312e8d","10.48550/arxiv.2403.06830","50|od________18::f6954b2943adf04409b44d0755584c33","oai:arXiv.org:2403.06830"],"pids":[{"scheme":"doi","value":"10.48550/arxiv.2403.06830"},{"scheme":"arXiv","value":"2403.06830"}],"dateOfCollection":null,"lastUpdateTimeStamp":null,"indicators":{"citationImpact":{"citationCount":0.0,"influence":2.1746283E-9,"popularity":1.944044E-9,"impulse":0.0,"citationClass":"C5","influenceClass":"C5","impulseClass":"C5","popularityClass":"C5"}},"projects":[{"id":"corda_____he::623cdd9c735a3d8acfb2c679d5d5099b","code":"101119552","acronym":"CaLiForNIA","title":"Cartan and differential geometry, Lie theory, quantum groups and non commutative geometry For novel and Innovative Applications to quantum algorithms and geometric deep learning","funder":"European Commission","pids":[{"scheme":"doi","value":"10.3030/101119552"}]}],"organizations":null,"communities":null,"collectedFrom":[{"key":"openaire____::9e3be59865b2c1c335d32dae2fe7b254","value":"Datacite"},{"key":"opendoar____::6f4922f45568161a8cdf4ad2299f6d23","value":"arXiv.org e-Print Archive"}],"instances":[{"pids":[{"scheme":"doi","value":"10.48550/arxiv.2403.06830"}],"license":"arXiv Non-Exclusive Distribution","type":"Article","urls":["https://dx.doi.org/10.48550/arxiv.2403.06830"],"publicationDate":"2024-01-01","refereed":"nonPeerReviewed","hostedBy":{"key":"openaire____::55045bd2a65019fd8e6741a755395c8c","value":"Unknown Repository"},"collectedFrom":{"key":"openaire____::9e3be59865b2c1c335d32dae2fe7b254","value":"Datacite"}},{"pids":[{"scheme":"arXiv","value":"2403.06830"}],"accessRight":{"code":"c_abf2","label":"OPEN","scheme":"http://vocabularies.coar-repositories.org/documentation/access_rights/","openAccessRoute":null},"type":"Preprint","urls":["http://arxiv.org/abs/2403.06830"],"publicationDate":"2024-03-11","refereed":"nonPeerReviewed","hostedBy":{"key":"opendoar____::6f4922f45568161a8cdf4ad2299f6d23","value":"arXiv.org e-Print Archive"},"collectedFrom":{"key":"opendoar____::6f4922f45568161a8cdf4ad2299f6d23","value":"arXiv.org e-Print Archive"}}],"links":[{"header":{"relationType":"resultProject","relationClass":"isProducedBy","relatedIdentifier":"corda_____he::623cdd9c735a3d8acfb2c679d5d5099b","relatedRecordType":"project","relationProvenance":"iis","trust":"0.897"},"collectedfrom":[{"dsId":"openaire____::3f264f93cf3b0cfc4ede188a6300455c","dsName":"CORDA - COmmon Research DAta Warehouse - Horizon Europe"}],"projectTitle":"Cartan and differential geometry, Lie theory, quantum groups and non commutative geometry For novel and Innovative Applications to quantum algorithms and geometric deep learning","code":"101119552","funding":{"funder":{"id":"ec__________::EC","shortname":"EC","name":"European Commission","jurisdiction":{"code":"EU","label":"European Union"},"pid":null},"level0":{"id":"ec__________::EC::HE","description":"Horizon Europe Framework Programme","name":"HE"},"level1":{"id":"ec__________::EC::HE::HORIZON-TMA-MSCA-DN","description":"HORIZON TMA MSCA Doctoral Networks","name":"HORIZON-TMA-MSCA-DN"},"level2":{"id":null,"description":null,"name":null}},"startDate":"2024-01-01","endDate":"2027-12-31"}],"otherTitles":null,"green":true,"inDiamondJournal":false,"isGreen":true,"isInDiamondJournal":false}