Comptes Rendus
no. 4
Combinatorics, Probability Theory
Dual Grothendieck polynomials via last-passage percolation
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

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.

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.

Received:
Revised:
Accepted:
Published online:
DOI: 10.5802/crmath.67
Classification: 05E05, 60K35, 60C05

Damir Yeliussizov 1

1 Kazakh-British Technical University, 59 Tole bi st, Almaty 050000, Kazakhstan
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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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

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