works on
algebraic groups 1cluster algebras 1folding 1poisson geometry 1symmetric spaces 1

From the 1 of 3 linked papers with an AI index.

collaborators

3 papers

math.RT2026

Cluster structures on

Jeff York Ye

The paper constructs cluster algebra structures on the strata of the symmetric space SL_n/SO_n by folding upper cluster algebras from SL_n, and shows these structures are compatibl…

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

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…