Jinfeng Song

activity

20232026

collaborators

6 papers

math.RT2026

Double Bruhat cells in symmetric spaces

Huanchen Bao, Jinfeng Song

This paper studies the closures of the double Bruhat cells of symmetric spacess in its equivariant embeddings. We call them large double Bruhat varieties. Our aim is to establish t…

math.RT2025

Reductive monoids and cluster algebras

Jinfeng Song, Jeff York Ye

We show that the coordinate ring of the Vinberg monoid of a simply connected semisimple complex group is an upper cluster algebra. As an application, we construct cluster structure…

math.RT2025

Symmetric subgroup schemes

Jinfeng Song

Chevalley group schemes are group schemes defined over the integers that parametrize connected reductive groups over algebraically closed fields as geometric fibers. In this paper,…

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…

math.RT2023

Quantum Frobenius splittings and cluster structures

Jinfeng Song

We prove that the duals of the quantum Frobenius morphisms and their splittings by Lusztig are compatible with quantum cluster monomials. After specialisation, we deduce that the c…