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math.CO2023
Characterizing positroid quotients of uniform matroids
Zhixing Chen, Yumou Fei, Jiyang Gao +2
We study two-step flag positroids , where is a quotient of . We provide a complete characterization of all two-step flag positroids that contain a uniform…
math.CO2023
Quantum Bruhat graphs and tilted Richardson varieties
Jiyang Gao, Shiliang Gao, Yibo Gao
Quantum Bruhat graph is a weighted directed graph on a finite Weyl group first defined by Brenti-Fomin-Postnikov. It encodes quantum Monk's rule and can be utilized to study the $3…