Geodesic
Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$
Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 3-34

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We give a precise expression for the universal weight function of the quantum affine algebra $U_{q}(\widehat{\frak{sl}}_3)$. The calculations use the technique of projecting products of Drinfeld currents on the intersections of Borel subalgebras.
Keywords: quantum affine algebra, current realization, nested Bethe ansatz, weight function, projections on intersections of different Borel subalgebras.
Mots-clés : biorthogonal decompositions of Borel current subalgebras 
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     author = {S. Z. Pakuliak and S. M. Khoroshkin},
     title = {Weight {Function} for the {Quantum} {Affine} {Algebra} $U_{q}(\widehat{\frak{sl}}_3)$},
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S. Z. Pakuliak; S. M. Khoroshkin. Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$. Teoretičeskaâ i matematičeskaâ fizika, Tome 145 (2005) no. 1, pp. 3-34. http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a0/