On fusion product and N!/k-conjecture

Anton Khoroshkin, Ievgen Makedonskyi

We formulate a version of Schur--Weyl duality for the current Lie algebra ${\mathfrak{gl}}_V[x,y]={\mathfrak{gl}}_V\otimes \mathbb{C}[x,y]$. Under this duality, the Garsia--Haiman modul…