Geodesic
On the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$
Algebra i analiz, Tome 21 (2009) no. 4, pp. 196-240 
A. F. Oskin; S. Z. Pakulyak; A. V. Silantiev. On the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$. Algebra i analiz, Tome 21 (2009) no. 4, pp. 196-240. http://geodesic.mathdoc.fr/item/AA_2009_21_4_a4/
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     author = {A. F. Oskin and S. Z. Pakulyak and A. V. Silantiev},
     title = {On the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$},
     journal = {Algebra i analiz},
     pages = {196--240},
     year = {2009},
     volume = {21},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AA_2009_21_4_a4/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The investigation is continued of the universal weight function for the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_N)$. Two recurrence relations are obtained for the universal weight function with the help of the method of projections. On the level of the evaluation representation of $U_q(\widehat{\mathfrak{gl}}_N)$, two recurrence relations are reproduced, which were calculated earlier for the off-shell Bethe vectors by combinatorial methods. One of the results of the paper is a description of two different but isomorphic currents or “new” realizations of the algebra $U_q(\widehat{\mathfrak{gl}}_N)$, corresponding to two different Gauss decompositions of the fundamental $\mathrm{L}$-operators.

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