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

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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.
40 pages, typos corrected, reference added

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