@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-00000907v1> a dcat:Dataset ;
    dct:description """
              The RSK correspondence generalises the Robinson-Schensted correspondence by replacing permutation matrices by matrices with entries in ${\\bf N}$, and standard Young tableaux by semistandard ones. For $r>0$, the Robinson-Schensted correspondence can be trivially extended, using the $r$-quotient map, to one between coloured permutations and pairs of standard $r$-ribbon tableaux built on a fixed $r$-core (the Stanton-White correspondence). This correspondence can also be generalised to arbitrary matrices with entries in ${\\bf N}^r$ and pairs of semistandard $r$-ribbon tableaux built on a fixed $r$-core; the generalisation is derived from the RSK correspondence, again using the $r$-quotient map. Shimozono and White recently defined a more interesting generalisation of the Robinson-Schensted correspondence to coloured permutations and standard $r$-ribbon tableaux, one that (unlike the Stanton-White correspondence) respects the spin statistic (total height of ribbons) on standard $r$-ribbon tableaux, relating it directly to the colours of the coloured permutation. We define a construction establishing a bijective correspondence between general matrices with entries in ${\\bf N}^r$ and pairs of semistandard $r$-ribbon tableaux built on a fixed $r$-core, which respects the spin statistic on those tableaux in a similar manner, relating it directly to the matrix entries. We also define a similar generalisation of the asymmetric RSK correspondence, in which case the matrix entries are taken from $\\{0,1\\}^r$.
            """ ;
    dct:identifier "hal-00000907" ;
    dct:issued "2026-05-08T04:09:39.649019"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-08T04:09:39.649022"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Spin-preserving Knuth correspondences for ribbon tableaux" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00000907v1/resource/aef67c1f-fbe2-4770-b88f-662bba1daf02> ;
    dcat:keyword "50000000000",
        "bijective-proof",
        "infoeu-reposemanticspreprint",
        "mathmath-comathematics-mathcombinatorics-mathco",
        "preprints-working-papers-",
        "rsk-correspondence",
        "semistandard-ribbon-tableau",
        "spin" ;
    dcat:landingPage <https://hal.science/hal-00000907> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00000907v1/resource/aef67c1f-fbe2-4770-b88f-662bba1daf02> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-08T04:09:39.660527"^^xsd:dateTime ;
    dct:modified "2026-05-08T04:09:39.636666"^^xsd:dateTime ;
    dct:title "Spin-preserving Knuth correspondences for ribbon tableaux" ;
    dcat:accessURL <https://hal.science/hal-00000907> .

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

<https://hal.science/hal-00000907> a foaf:Document .