@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#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00809490v1> a dcat:Dataset ;
    dct:description """
              We study the decomposition of central simple algebras of exponent $2$ into tensor products of quaternion algebras. We consider in particular decompositions in which one of the quaternion algebras contains a given quadratic extension. Let $B$ be a biquaternion algebra over $F(\\sqrt{a})$ with trivial corestriction. A degree $3$ cohomological invariant is defined and we show that it determines whether $B$ has a descent to $F$. This invariant is used to give examples of indecomposable algebras of degree $8$ and exponent $2$ over a field of $2$-cohomological dimension $3$ and over a field $\\mathbb M(t)$ where the $u$-invariant of $\\mathbb M$ is $8$ and $t$ is an indeterminate. The construction of these indecomposable algebras uses Chow group computations provided by A. S. Merkurjev in Appendix.
            """ ;
    dct:identifier "hal-00809490" ;
    dct:issued "2026-05-11T15:18:01.028959"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-11T15:18:01.028963"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Decomposable and Indecomposable Algebras of Degree 8 and Exponent 2" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00809490v1/resource/3354db33-1f90-4762-9c6b-ba24d9fa6ce0> ;
    dcat:keyword "11e81-16w10-12g10",
        "central-simple-algebras",
        "clifford-algebras",
        "cohomological-dimension",
        "galois-cohomology",
        "infoeu-reposemanticspreprint",
        "mathmath-ramathematics-mathrings-and-algebras-mathra",
        "merkurjevs-theorem",
        "preprints-working-papers-",
        "quadratic-forms" ;
    dcat:landingPage <https://hal.science/hal-00809490> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00809490v1/resource/3354db33-1f90-4762-9c6b-ba24d9fa6ce0> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-11T15:18:01.031057"^^xsd:dateTime ;
    dct:modified "2026-05-11T15:18:01.010293"^^xsd:dateTime ;
    dct:title "Decomposable and Indecomposable Algebras of Degree 8 and Exponent 2" ;
    dcat:accessURL <https://hal.science/hal-00809490> .

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

<https://hal.science/hal-00809490> a foaf:Document .