dc.creator | Colmenarejo Hernando, Laura | es |
dc.creator | Briand, Emmanuel | es |
dc.date.accessioned | 2019-07-02T09:04:31Z | |
dc.date.available | 2019-07-02T09:04:31Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Colmenarejo Hernando, L. y Briand, E. (2014). Combinatorial proof for a stability property of plethysm coefficients. Electronic Notes in Discrete Mathematics, 46 (september 2014), 43-50. | |
dc.identifier.issn | 1571-0653 | es |
dc.identifier.uri | https://hdl.handle.net/11441/87750 | |
dc.description.abstract | Plethysm coefficients are important structural constants in the representation the-
ory of the symmetric groups and general linear groups. Remarkably, some sequences
of plethysm coefficients stabilize (they are ultimately constants). In this paper we
give a new proof of such a stability property, proved by Brion with geometric representation theory techniques. Our new proof is purely combinatorial: we decompose
plethysm coefficients as a alternating sum of terms counting integer points in poly-
topes, and exhibit bijections between these sets of integer points. | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación MTM2010–19336 | es |
dc.description.sponsorship | Junta de Andalucía FQM–333 | es |
dc.description.sponsorship | Junta de Andalucía P12–FQM–2696 | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Electronic Notes in Discrete Mathematics, 46 (september 2014), 43-50. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Combinatorial representation theory | es |
dc.subject | Symmetric functions | es |
dc.subject | Plethysm | es |
dc.title | Combinatorial proof for a stability property of plethysm coefficients | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | MTM2010–19336 | es |
dc.relation.projectID | FQM–333 | es |
dc.relation.projectID | P12–FQM–2696 | es |
dc.relation.publisherversion | https://www.sciencedirect.com/science/article/pii/S1571065314000080 | es |
dc.identifier.doi | 10.1016/j.endm.2014.08.007 | es |
idus.format.extent | 8 | es |
dc.journaltitle | Electronic Notes in Discrete Mathematics | es |
dc.publication.volumen | 46 | es |
dc.publication.issue | september 2014 | es |
dc.publication.initialPage | 43 | es |
dc.publication.endPage | 50 | es |
dc.identifier.sisius | 20799323 | es |