@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 """
              The goal of this paper is to remove the irreducibility hypothesis in a theorem of Richard Taylor describing the image of complex conjugations by $p$-adic Galois representations associated with regular, algebraic, essentially self-dual, cuspidal automorphic representations of $\\GL_{2n+1}$ over a totally real number field $F$. We also extend it to the case of representations of $\\GL_{2n}/F$ whose multiplicative character is ''odd''. We use a $p$-adic deformation argument, more precisely we prove that on the eigenvarieties for symplectic and even orthogonal groups, there are ''many'' points corresponding to (quasi-)irreducible Galois representations. The recent work of James Arthur describing the automorphic spectrum for these groups is used to define these Galois representations, and also to transfer self-dual automorphic representations of the general linear group to these classical groups.
            """ ;
    dct:identifier "hal-00675682" ;
    dct:issued "2026-05-26T01:55:38.528197"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-26T01:55:38.528202"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Eigenvarieties for classical groups and complex conjugations in Galois representations" ;
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            vcard:fn "CCSD" ] ;
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    dcat:keyword "automorphic-forms",
        "classical-groups",
        "eigenvarieties",
        "galois-representations",
        "infoeu-reposemanticspreprint",
        "mathmath-ntmathematics-mathnumber-theory-mathnt",
        "mathmath-rtmathematics-mathrepresentation-theory-mathrt",
        "preprints-working-papers-" ;
    dcat:landingPage <https://hal.science/hal-00675682> .

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    dct:issued "2026-05-26T01:55:38.555873"^^xsd:dateTime ;
    dct:modified "2026-05-26T01:55:38.501896"^^xsd:dateTime ;
    dct:title "Eigenvarieties for classical groups and complex conjugations in Galois representations" ;
    dcat:accessURL <https://hal.science/hal-00675682> .

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<https://hal.science/hal-00675682> a foaf:Document .