DC Field | Value | Language |
---|---|---|
dc.contributor.author | Buciumas, Valentin | - |
dc.contributor.author | Scrimshaw, Travis | - |
dc.contributor.author | Weber, Katherine | - |
dc.date.accessioned | 2024-03-05T04:41:25Z | - |
dc.date.available | 2024-03-05T04:41:25Z | - |
dc.date.created | 2024-03-04 | - |
dc.date.issued | 2020-12 | - |
dc.identifier.issn | 0024-6107 | - |
dc.identifier.uri | https://oasis.postech.ac.kr/handle/2014.oak/120857 | - |
dc.description.abstract | We construct an integrable colored five-vertex model whose partition function is a Lascoux atom based on the five-vertex model of Motegi and Sakai and the colored five-vertex model of Brubaker, the first author, Bump and Gustafsson. We then modify this model in two different ways to construct a Lascoux polynomial, yielding the first proven combinatorial interpretation of a Lascoux polynomial and atom. Using this, we prove a conjectured combinatorial interpretation in terms of set-valued tableaux of a Lascoux polynomial and atom due to Pechenik and the second author. We also prove the Monical's conjectured combinatorial interpretation of the Lascoux atom using set-valued skyline tableaux. | - |
dc.language | English | - |
dc.publisher | Oxford University Press | - |
dc.relation.isPartOf | Journal of the London Mathematical Society | - |
dc.title | Colored five‐vertex models and Lascoux polynomials and atoms | - |
dc.type | Article | - |
dc.identifier.doi | 10.1112/jlms.12347 | - |
dc.type.rims | ART | - |
dc.identifier.bibliographicCitation | Journal of the London Mathematical Society, v.102, no.3, pp.1047 - 1066 | - |
dc.identifier.wosid | 000535483200001 | - |
dc.citation.endPage | 1066 | - |
dc.citation.number | 3 | - |
dc.citation.startPage | 1047 | - |
dc.citation.title | Journal of the London Mathematical Society | - |
dc.citation.volume | 102 | - |
dc.contributor.affiliatedAuthor | Buciumas, Valentin | - |
dc.identifier.scopusid | 2-s2.0-85085489464 | - |
dc.description.journalClass | 1 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
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