Symmetries on plabic graphs and associated polytopes

Xin Fang; Ghislain Fourier

doi:10.1016/j.crma.2018.05.003

Combinatorics

Symmetries on plabic graphs and associated polytopes

Presented by: Michele Vergne

Xin Fang ¹; Ghislain Fourier 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

Comptes Rendus. Mathématique, Volume 356 (2018) no. 6, pp. 581-585.

Abstract
Résumé

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.

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.

Received: 2018-04-19
Accepted: 2018-05-14
Published online: 2018-05-18

DOI: 10.1016/j.crma.2018.05.003

Author's affiliations:

Xin Fang ¹; Ghislain Fourier 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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     title = {Symmetries on plabic graphs and associated polytopes},
     journal = {Comptes Rendus. Math\'ematique},
     pages = {581--585},
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     volume = {356},
     number = {6},
     year = {2018},
     doi = {10.1016/j.crma.2018.05.003},
     language = {en},
}

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Xin Fang; Ghislain Fourier. Symmetries on plabic graphs and associated polytopes. Comptes Rendus. Mathématique, Volume 356 (2018) no. 6, pp. 581-585. doi : 10.1016/j.crma.2018.05.003. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2018.05.003/

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