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math.CO2026
Grassmannian tree webs and cluster variables
Jian-Rong Li, Chenglu Wang, Lauren Williams
Homogeneous coordinate rings of Grassmannians are among the most fundamental instances of cluster algebras arising in ``nature.'' Despite their importance, however, the cluster var…
math.CO2025
From dual canonical bases to positroidal subdivisions
Jian-Rong Li, Ayush Kumar Tewari
The Grassmannian cluster algebra admits a distinguished basis known as the dual canonical basis, whose elements correspond to rectangular semi-standar…