@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
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    dct:description """
              The purpose of this dissertation is to classify quantum groups according to invariants coming from their representation theory. More precisely, we classify Hopf algebras having a fusion semiring isomorphic to that of a given reductive algebraic group G. Such a quantum group is called a G-deformation. We study the case of GL(2) and SO(3). We give a complete classification of GL(2)-deformations by building a family of Hopf algebras parametrized by invertible matrices. We describe their comodule category and we give some classification results about the Hopf-Galois objects. We also classify compact SO(3)-deformations and we study the noncompact case. Finally, the last part of this dissertation is a study of the underlying algebra of some Hopf algebras, for which we exhibit a linear basis. This basis allows us to compute the centre and some (co)homology groups of those algebras.
            """ ;
    dct:identifier "NNT: 2013CLF22405" ;
    dct:issued "2026-05-06T01:55:39.255755"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-06T01:55:39.255759"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Fusion semiring of quantum groups" ;
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    dcat:keyword "algebre-non-commutative",
        "categories-monoidales",
        "fusion-semiring",
        "groupes-quantiques",
        "hopf-galois-objects",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "monoidal-category",
        "noncommutative-algebra",
        "objets-de-hopf-galois",
        "quantum-groups",
        "representation-theory",
        "semi-anneau-de-fusion",
        "theorie-de-representation",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00948512> .

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    dct:issued "2026-05-06T01:55:39.257900"^^xsd:dateTime ;
    dct:modified "2026-05-06T01:55:39.230323"^^xsd:dateTime ;
    dct:title "Fusion semiring of quantum groups" ;
    dcat:accessURL <https://theses.hal.science/tel-00948512> .

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