@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 """
              We describe a method for associating to a Lie algebra $\\mathfrak{g}$ over a ring $\\mathbb{K}$ a sequence of groups $(G_{n}(\\mathfrak{g}))_{n\\in\\mathbb{N}}$, which are {\\it polynomial groups} in the sense of Definition \\ref{polygroup}. Using a description of these groups by generators and relations, we prove the existence of an action of the symmetric group $\\Sigma_{n}$ by automorphisms. The subgroup of fixed points under this action, denoted by $J_{n}(\\mathfrak{g})$, is still a polynomial group and we can form the projective limit $J_{\\infty}(\\mathfrak{g})$ of the sequence $(J_{n}(\\mathfrak{g}))_{n\\in\\mathbb{N}}$. The formal group $J_{\\infty}(\\mathfrak{g})$ associated in this way to the Lie algebra $\\mathfrak{g}$ may be seen as a generalisation of the formal group associated to a Lie algebra over a field of characteristic zero by the Campbell-Haussdorf formula.
            """ ;
    dct:identifier "hal-00093436" ;
    dct:issued "2026-05-07T07:45:34.065800"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T07:45:34.065804"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Construction of groups associated to Lie- and to Leibniz-algebras" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00093436v1/resource/811360f7-e0f7-4484-8ae4-d992e7a6a473> ;
    dcat:keyword "ams-subject-classification--17b65-14l05",
        "campbell-haussdorf-formula",
        "dual-numbers",
        "exponential-map",
        "formal-group",
        "infoeu-reposemanticspreprint",
        "leibniz-algebra",
        "lie-algebra",
        "mathmath-ramathematics-mathrings-and-algebras-mathra",
        "polynomial-group",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00093436> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00093436v1/resource/811360f7-e0f7-4484-8ae4-d992e7a6a473> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-07T07:45:34.067350"^^xsd:dateTime ;
    dct:modified "2026-05-07T07:45:34.052121"^^xsd:dateTime ;
    dct:title "Construction of groups associated to Lie- and to Leibniz-algebras" ;
    dcat:accessURL <https://hal.science/hal-00093436> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00093436> a foaf:Document .