Huanchen Bao

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math.RT2025

Upper cluster structure on Kac--Moody Richardson varieties

Huanchen Bao, Jeff York Ye

We show coordinate rings of open Richardson varieties are upper cluster algebras for any symmetrizable Kac--Moody type. We further show the coordinate rings of (generalized) open R…

math.RT2025

Dual canonical bases and embeddings of symmetric spaces

Huanchen Bao, Jinfeng Song

For a connected reductive group $G_{k}$ over an algebraically closed field $k$ of char $\neq = 2$ and a fixed point subgroup $K_{k}$ under an algebraic group involution, we construct a q…

math.RT2024

Coordinate rings on symmetric spaces

Huanchen Bao, Jinfeng Song

Let $G_{k}$ be a connected reductive group over an algebraically closed field $k$ of char $\neq = 2$ . Let $θ_{k}$ be an algebraic group involution of $G_{k}$ and denote the fixed point sub…