3 papers
math.RT2026
Monoidal Categorification and Quantization of Braid Varieties
Yingjin Bi
Let \(G\) be a simple and simply connected algebraic group of simply-laced type. For each positive braid word \(β\), and for the complete strong duality datum attached to a \(Q\)-d…
math.RT2026
Monoidal Categories associated with Kac-Moody Open Richardson Varieties in Symmetric Type
Yingjin Bi
In the present paper, we study the factorization properties of the generalized minors \( Δ(w_{\leq k}Λ,\, v_{\leq k}Λ), \) introduced by Fomin--Zelevinsky, in the coordinate rings…
math.RT2020
On the cohomology of quiver Grassmannians for acyclic quivers
Yingjin Bi
For an acyclic quiver, we establish a connection between the cohomology of quiver Grassmannians and the dual canonical bases of the algebra , where $U_q^-(\mat…