@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

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    dct:description """
              Let G be a Lie group, $T^*G$ its cotangent bundle with its natural Lie group structure obtained by performing a left trivialization of T^*G and endowing the resulting trivial bundle with the semi-direct product, using the coadjoint action of G on the dual space of its Lie algebra. We investigate the group of automorphisms of the Lie algebra of $T^*G$. More precisely, amongst other results, we fully characterize the space of all derivations of the Lie algebra of $T^*G$. As a byproduct, we also characterize some spaces of operators on G amongst which, the space J of bi-invariant tensors on G and prove that if G has a bi-invariant Riemannian or pseudo-Riemannian metric, then J is isomorphic to the space of linear maps from the Lie algebra of G to its dual space which are equivariant with respect to the adjoint and coadjoint actions, as well as that of bi-invariant bilinear forms on G. We discuss some open problems and possible applications.
            """ ;
    dct:identifier "hal-00942434" ;
    dct:issued "2026-05-07T02:39:27.014383"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T02:39:27.014388"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Automorphisms of cotangent bundles of Lie groups" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00942434v1/resource/30b7af47-3f63-4b85-be80-961fa61e9e71> ;
    dcat:keyword "22c05-22e60-22e15-22e10",
        "adjoint-action",
        "automorphisms-of-a-lie-algebra",
        "automorphisms-of-cotangent-bundles-of-a-lie-group",
        "bi-invariant-pseudo-riemannian-metric",
        "bi-invariant-riemannian",
        "bi-invariant-tensors",
        "coadjoint-action",
        "cotangent-bundle-of-a-lie-group",
        "derivations-of-the-a-algebra",
        "infoeu-reposemanticspreprint",
        "mathmath-dgmathematics-mathdifferential-geometry-mathdg",
        "mathmath-grmathematics-mathgroup-theory-mathgr",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00942434> .

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    dct:issued "2026-05-07T02:39:27.023824"^^xsd:dateTime ;
    dct:modified "2026-05-07T02:39:26.999655"^^xsd:dateTime ;
    dct:title "Automorphisms of cotangent bundles of Lie groups" ;
    dcat:accessURL <https://hal.science/hal-00942434> .

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