A computation of an universal weight function for the quantum affine algebra U_q(\hat{\mathfrak{gl}}_N)

Understand

We compute an universal weight function (off-shell Bethe vectors) in any representation with a weight singular vector of the quantum affine algebra $U_q(\hat{\mathfrak{gl}}_N)$ applying the method of projections of Drinfeld currents developed in arXiv:math/0610398.