3 problems

Let $G$ be a simple simply connected complex algebraic group of simply-laced type $A$, $D$, or $E$, let $J$ be a subset of the simple roots, and let $K$ be its complementary subset…

Let $Q$ be a finite valued quiver without oriented cycles, and let $G^{c,c^{-1}} \subset G$ be the associated Coxeter double Bruhat cell. The algebra…

Generalized-minor identification conjecture. The minors $\Delta^{(i)}_{m,n}$ are precisely the generalized minors of Fomin–Zelevinsky.