Roy, Sutanu

[["dc.bibliographiccitation.firstpage","3039"],["dc.bibliographiccitation.issue","15"],["dc.bibliographiccitation.journal","Classical and Quantum Gravity"],["dc.bibliographiccitation.lastpage","3057"],["dc.bibliographiccitation.volume","18"],["dc.contributor.author","Requardt, M."],["dc.contributor.author","Roy, S."],["dc.date.accessioned","2018-11-07T08:46:02Z"],["dc.date.available","2018-11-07T08:46:02Z"],["dc.date.issued","2001"],["dc.description.abstract","We develop a kind of pregeometry consisting of a web of overlapping fuzzy lumps which interact with each other. The individual lumps are understood as certain closely entangled subgraphs (cliques) in a dynamically evolving network which, in a certain approximation, can be visualized as a time-dependent random graph. This strand of ideas is merged with another one, deriving from ideas, developed some time ago by Menger et al, that is, the concept of probabilistic- or random metric spaces, representing a natural extension of the metrical continuum into a more microscopic regime. It is our general goal to find a better adapted geometric environment for the description of microphysics. In this sense one may also view it as a dynamical randomization of the causal-set framework developed by, for example, Sorkin et al. In doing this we incorporate, as a perhaps new aspect, various concepts from fuzzy set theory."],["dc.identifier.doi","10.1088/0264-9381/18/15/317"],["dc.identifier.isi","000170758800019"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/20591"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","Najko"],["dc.publisher","Iop Publishing Ltd"],["dc.relation.issn","1361-6382"],["dc.relation.issn","0264-9381"],["dc.title","(Quantum) spacetime as a statistical geometry of fuzzy lumps and the connection with random metric spaces"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","859"],["dc.bibliographiccitation.issue","3"],["dc.bibliographiccitation.journal","Journal of Noncommutative Geometry"],["dc.bibliographiccitation.lastpage","888"],["dc.bibliographiccitation.volume","10"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.contributor.author","Woronowicz, Stanisław Lech"],["dc.date.accessioned","2020-12-10T18:47:46Z"],["dc.date.available","2020-12-10T18:47:46Z"],["dc.date.issued","2016"],["dc.description.abstract","For a quasitriangular C -quantum group, we enrich the twisted tensor product constructed in the first part of this series to a monoidal structure on the category of its continuous coactions on C -algebras. We define braided C -quantum groups, where the comultiplication takes values in a twisted tensor product. We show that compact braided C -quantum groups yield compact quantum groups by a semidirect product construction."],["dc.identifier.doi","10.4171/JNCG/250"],["dc.identifier.gro","3146570"],["dc.identifier.issn","1661-6952"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/78879"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","final"],["dc.notes.submitter","chake"],["dc.relation.issn","1661-6952"],["dc.title","Quantum group-twisted tensor products of C -algebras. II"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.issue","2"],["dc.bibliographiccitation.journal","International Journal of Mathematics"],["dc.bibliographiccitation.volume","25"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.contributor.author","Woronowicz, Stanislav Lech"],["dc.date.accessioned","2017-11-24T15:52:21Z"],["dc.date.available","2017-11-24T15:52:21Z"],["dc.date.issued","2014"],["dc.description.abstract","We put two C -algebras together in a noncommutative tensor product using quantum group coactions on them and a bicharacter relating the two quantum groups that act. We describe this twisted tensor product in two equivalent ways, based on certain pairs of quantum group representations and based on covariant Hilbert space representations, respectively. We establish basic properties of the twisted tensor product and study some examples."],["dc.fs.externid","511110"],["dc.fs.pkfprnr","63919"],["dc.identifier.arxiv","1305.0635"],["dc.identifier.doi","10.1142/S0129167X14500190"],["dc.identifier.fs","610173"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/10468"],["dc.language.iso","en"],["dc.notes.intern","FactScience-Import"],["dc.notes.status","final"],["dc.relation.issn","0129-167X"],["dc.title","Quantum group-twisted tensor products of C -algebras"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","unknown"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1611"],["dc.bibliographiccitation.issue","4"],["dc.bibliographiccitation.journal","Journal of Noncommutative Geometry"],["dc.bibliographiccitation.lastpage","1625"],["dc.bibliographiccitation.volume","10"],["dc.contributor.author","Kasprzak, Paweł"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.contributor.author","Woronowicz, Stanisław Lech"],["dc.date.accessioned","2020-12-10T18:47:46Z"],["dc.date.available","2020-12-10T18:47:46Z"],["dc.date.issued","2016"],["dc.identifier.doi","10.4171/JNCG/268"],["dc.identifier.gro","3146568"],["dc.identifier.issn","1661-6952"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/78881"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-354"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1661-6952"],["dc.title","Braided quantum SU(2) groups"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","834"],["dc.bibliographiccitation.issue","6"],["dc.bibliographiccitation.journal","Anaesthesia"],["dc.bibliographiccitation.lastpage","834"],["dc.bibliographiccitation.volume","75"],["dc.contributor.author","Perl, T."],["dc.contributor.author","Kunze‐Szikszay, N."],["dc.contributor.author","Bräuer, A."],["dc.contributor.author","Roy, T."],["dc.date.accessioned","2021-04-14T08:25:28Z"],["dc.date.available","2021-04-14T08:25:28Z"],["dc.date.issued","2020"],["dc.identifier.doi","10.1111/anae.15020"],["dc.identifier.eissn","1365-2044"],["dc.identifier.issn","0003-2409"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/81639"],["dc.language.iso","en"],["dc.notes.intern","DOI Import GROB-399"],["dc.relation.eissn","1365-2044"],["dc.relation.issn","0003-2409"],["dc.title","Quantified aluminium levels released into blood and fluids using the Level 1 Fast Flow Fluid Warmer"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","1"],["dc.bibliographiccitation.journal","Münster Journal of Mathematics"],["dc.bibliographiccitation.lastpage","24"],["dc.bibliographiccitation.volume","5"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.contributor.author","Woronowicz, Stanisław Lech"],["dc.date.accessioned","2017-09-07T11:54:57Z"],["dc.date.available","2017-09-07T11:54:57Z"],["dc.date.issued","2012"],["dc.identifier.gro","3146579"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/4361"],["dc.notes.intern","mathe"],["dc.notes.status","public"],["dc.notes.submitter","chake"],["dc.relation.issn","1867-5778"],["dc.title","Homomorphisms of quantum groups"],["dc.type","journal_article"],["dc.type.internalPublication","unknown"],["dc.type.peerReviewed","no"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.firstpage","249"],["dc.bibliographiccitation.issue","1"],["dc.bibliographiccitation.journal","Communications in Mathematical Physics"],["dc.bibliographiccitation.lastpage","282"],["dc.bibliographiccitation.volume","351"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.contributor.author","Woronowicz, Stanislaw Lech"],["dc.date.accessioned","2018-11-07T10:25:51Z"],["dc.date.available","2018-11-07T10:25:51Z"],["dc.date.issued","2017"],["dc.description.abstract","C -quantum groups with projection are the noncommutative analogues of semidirect products of groups. Radford's Theorem about Hopf algebras with projection suggests that any C -quantum group with projection decomposes uniquely into an ordinary C -quantum group and a \"braided\" C -quantum group. We establish this on the level of manageable multiplicative unitaries."],["dc.identifier.doi","10.1007/s00220-016-2727-3"],["dc.identifier.isi","000394979800006"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/42937"],["dc.notes.status","zu prüfen"],["dc.notes.submitter","PUB_WoS_Import"],["dc.publisher","Springer"],["dc.relation.issn","1432-0916"],["dc.relation.issn","0010-3616"],["dc.title","Semidirect Products of C -Quantum Groups: Multiplicative Unitaries Approach"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dc.type.peerReviewed","yes"],["dc.type.status","published"],["dspace.entity.type","Publication"]]

[["dc.bibliographiccitation.journal","International Mathematics Research Notices"],["dc.contributor.author","Meyer, Ralf"],["dc.contributor.author","Roy, Sutanu"],["dc.date.accessioned","2022-04-01T10:02:52Z"],["dc.date.available","2022-04-01T10:02:52Z"],["dc.date.issued","2021"],["dc.description.abstract","Abstract We construct some braided quantum groups over the circle group. These are analogous to the free orthogonal quantum groups. They generalise the braided quantum SU(2) groups for a complex deformation parameter. We describe their irreducible representations and fusion rules and study when they are monoidally equivalent. A key tool here is to describe the bosonisation of our braided compact quantum groups through ordinary free orthogonal quantum groups."],["dc.identifier.doi","10.1093/imrn/rnaa379"],["dc.identifier.uri","https://resolver.sub.uni-goettingen.de/purl?gro-2/106024"],["dc.language.iso","en"],["dc.notes.intern","DOI-Import GROB-530"],["dc.relation.eissn","1687-0247"],["dc.relation.issn","1073-7928"],["dc.title","Braided Free Orthogonal Quantum Groups"],["dc.type","journal_article"],["dc.type.internalPublication","yes"],["dspace.entity.type","Publication"]]