collaborators

4 papers

math.RT2026

Partitions of canonical bases

Jeff York Ye

We show that various partitions of the canonical basis of quantum groups constructed by Lusztig and by Kashiwara coincide. Using this partition, we show that the subset correspondi…

math.RT2026

Cluster structures on

Jeff York Ye

We construct cluster structures on the strata of a stratification of the symmetric space over . To accomplish this, we study foldings of up…

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…