Flats of a positroid from its decorated permutation

zbMath1436.05004MaRDI QIDQ2306504

Oh Suho, Xiang David, Robert McAlmon

Publication date: 23 March 2020

Published in: Séminaire Lotharingien de Combinatoire (Search for Journal in Brave)

Full work available at URL: http://www.mat.univie.ac.at/~slc/wpapers/FPSAC2019//43.html

zbMATH Keywords

permutationmatroidsbasesflatsnon-crossing partitionsflacetspositroids

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Permutations, words, matrices (05A05) Grassmannians, Schubert varieties, flag manifolds (14M15) Combinatorial aspects of matroids and geometric lattices (05B35)

Cites Work

• KP solitons and total positivity for the Grassmannian
• Positroids and Schubert matroids
• Matroid polytopes, nested sets and Bergman fans
• Descriptively sufficient subcollections of flats in matroids
• The facets of the matroid polytope and the independent set polytope of a positroid
• The rank function of a positroid and non-crossing partitions
• Grassmannian Geometry of Scattering Amplitudes
• Positroids and non-crossing partitions
• Optimal assignments in an ordered set: An application of matroid theory
• Total positivity: tests and parametrizations.
• Unnamed Item

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