Jinfeng Song

collaborators

3 papers

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…