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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 \( Î(w_{\leq k}Î,\, v_{\leq k}Î), \) introduced by Fomin--Zelevinsky, in the coordinate rin…
math.RT2024
Determinantal modules over preprojective algebras and representations of Dynkin quivers
Yingjin Bi
In this paper, we study extension groups of determinantal modules over a preprojective algebra using the Auslander-Reiten translation of the quiver associated with it. More precise…
math.RT2024
The product of simple modules over KLR algebras and quiver Grassmannians
Yingjin Bi
In this paper, we study the product of two simple modules over KLR algebras using the quiver Grassmannians for Dynkin quivers. More precisely, we establish a bridge between the Ind…