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math.RT2026
Monoidal seeds of the categories over quiver Hecke algebras
Masaki Kashiwara, Myungho Kim, Se-jin Oh +2
In this paper, when the quiver Hecke algebra R is symmetric, we present a new construction of quantum monoidal seeds for using the reflectio…
math.RT2026
A Comparison of cluster algebra structures arising from -boxes and Demazure weaves
JiSun Huh, Woo-Seok Jung, Myungho Kim +1
We compare two cluster algebras related to a positive element in the braid group of finite type. One is the localized bosonic extension ${\widetilde{\mathbb{A}}}…
math.AG2026
Newton--Okounkov bodies of partial flag varieties via cluster algebras
Yunhyung Cho, Myungho Kim, Yoosik Kim +1
We construct Newton--Okounkov polytopes of Schubert varieties in partial flag varieties of arbitrary type using the cluster structure on a unipotent cell. When the governing cluste…