Kirillov's non-negativity conjecture for Hecke–Grothendieck and generalized key polynomials
Let nnn be a positive integer, let w∈Snw\in S_nw∈Sn be a permutation, let ζ\zetaζ be a weak composition, and let x=(x1,…,xn)\boldsymbol{x}=(x_1,\ldots,x_n)x=(x1,…,xn). Write…