Fermionic formula conjecture for generalized Kostka polynomials
Let N≥1,n≥2N\geq 1,n\geq 2N≥1,n≥2 be integers, λ\lambdaλ a partition with height(λ)≤n\operatorname{height}(\lambda)\leq nheight(λ)≤n, and L\boldsymbol LL an n×Nn\times Nn×N matrix with nonnegative integer entries. Le…