no. 6
Combinatorics
Symmetries on plabic graphs and associated polytopes
[Symétries dans les graphes plan bicolores et les polytopes associés]

Présenté par : Michele Vergne

Fang, Xin1 ; Fourier, Ghislain2
1 University of Cologne, Mathematical Institute, Weyertal 86–90, 50931 Cologne, Germany
2 Leibniz Universität Hannover, Institute for Algebra, Number Theory and Discrete Mathematics, Welfengarten 1, 30167 Hannover, Germany
Comptes Rendus. Mathématique, Tome 356 (2018) no. 6, pp. 581-585.

Nous expliquons, pour les variétés grasmanniennes, comment la dualité entre les polytopes de Gelfand–Tsetlin et les polytopes de Feigin–Fourier–Littelman–Vinberg émerge dans différentes structures positives.

For Grassmann varieties, we explain how the duality between the Gelfand–Tsetlin polytopes and the Feigin–Fourier–Littelmann–Vinberg polytopes arises from different positive structures.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2018.05.003
Fang, Xin 1 ; Fourier, Ghislain 2

1 University of Cologne, Mathematical Institute, Weyertal 86–90, 50931 Cologne, Germany
2 Leibniz Universität Hannover, Institute for Algebra, Number Theory and Discrete Mathematics, Welfengarten 1, 30167 Hannover, Germany 
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Fang, Xin; Fourier, Ghislain. Symmetries on plabic graphs and associated polytopes. Comptes Rendus. Mathématique, Tome 356 (2018) no. 6, pp. 581-585. doi : 10.1016/j.crma.2018.05.003. http://www.numdam.org/articles/10.1016/j.crma.2018.05.003/

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