Comptes Rendus
no. 4
Combinatoire, Théorie des probabilités
Dual Grothendieck polynomials via last-passage percolation
[Polynômes de Grothendieck duales par percolation de dernier passage]
Damir Yeliussizov1
1 Kazakh-British Technical University, 59 Tole bi st, Almaty 050000, Kazakhstan
Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 497-503.

L’anneau de fonctions symétriques a une base de polynômes de Grothendieck duales qui sont des déformations K-théoriques non homogénes des polynômes de Schur. Nous prouvons que les polynômes de Grothendieck duales déterminent distributions des colonnes pour un modèle de percolation dirigée de dernier passage.

The ring of symmetric functions has a basis of dual Grothendieck polynomials that are inhomogeneous K-theoretic deformations of Schur polynomials. We prove that dual Grothendieck polynomials determine column distributions for a directed last-passage percolation model.

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Révisé le :
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DOI : 10.5802/crmath.67
Classification : 05E05, 60K35, 60C05
Damir Yeliussizov 1

1 Kazakh-British Technical University, 59 Tole bi st, Almaty 050000, Kazakhstan
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     title = {Dual {Grothendieck} polynomials via last-passage percolation},
     journal = {Comptes Rendus. Math\'ematique},
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     year = {2020},
     doi = {10.5802/crmath.67},
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Damir Yeliussizov. Dual Grothendieck polynomials via last-passage percolation. Comptes Rendus. Mathématique, Volume 358 (2020) no. 4, pp. 497-503. doi : 10.5802/crmath.67. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.67/

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