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Artículo
Combinatorics on a family of reduced Kronecker coefficients
dc.creator | Colmenarejo Hernando, Laura | es |
dc.creator | Rosas Celis, Mercedes Helena | es |
dc.date.accessioned | 2024-02-06T12:16:31Z | |
dc.date.available | 2024-02-06T12:16:31Z | |
dc.date.issued | 2015-08-28 | |
dc.identifier.citation | Colmenarejo Hernando, L. y Rosas Celis, M.H. (2015). Combinatorics on a family of reduced Kronecker coefficients. Comptes Rendus Mathématique, 353 (10), 865-869. https://doi.org/10.1016/j.crma.2015.07.012. | |
dc.identifier.issn | 1631-073X | es |
dc.identifier.issn | 1778-3569 | es |
dc.identifier.uri | https://hdl.handle.net/11441/154699 | |
dc.description.abstract | The reduced Kronecker coefficients are particular instances of Kronecker coefficients, that nevertheless contain enough information to compute all Kronecker coefficients from them. In this note, we compute the generating function of a family of reduced Kronecker coefficients. We show that these reduced Kronecker coefficients count plane partitions. This allows us to check that these coefficients satisfy the saturation conjecture, and that they are weakly increasing. Thanks to its generating function, we can describe our family by a quasipolynomial, specifying its degree and period. | es |
dc.description.abstract | Les coefficients de Kronecker réduits sont des coefficients de Kronecker particuliers, qui permettent néanmoins de recalculer tous les coefficients de Kronecker. Dans cette note, nous calculons la fonction génératrice d’une famille particulière de coefficients de Kronecker réduits. Nous exprimons sa relation avec les partitions planes, ce qui nous permet de vérifier que cette famille possède la propriété de saturation, ainsi que la propriété de monotonie. Grâce à cette fonction génératrice, nous pouvons décrire les coefficients considérés au moyen d’une formule quasi polynomiale, dont nous précisons le degré et la période. | es |
dc.format | application/pdf | es |
dc.format.extent | 5 p. | es |
dc.language.iso | eng | es |
dc.publisher | Académie des Sciences | es |
dc.relation.ispartof | Comptes Rendus Mathématique, 353 (10), 865-869. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Combinatorics on a family of reduced Kronecker coefficients | es |
dc.type | info:eu-repo/semantics/article | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Álgebra | es |
dc.relation.publisherversion | http://dx.doi.org/10.1016/j.crma.2015.07.012 | es |
dc.identifier.doi | 10.1016/j.crma.2015.07.012 | es |
dc.contributor.group | Universidad de Sevilla. FQM333: Álgebra computacional en anillos no conmutativos y aplicaciones. | es |
dc.journaltitle | Comptes Rendus Mathématique | es |
dc.publication.volumen | 353 | es |
dc.publication.issue | 10 | es |
dc.publication.initialPage | 865 | es |
dc.publication.endPage | 869 | es |