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 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

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 
@article{TMF_2005_145_1_a0,
     author = {S. Z. Pakuliak and S. M. Khoroshkin},
     title = {Weight {Function} for the {Quantum} {Affine} {Algebra} $U_{q}(\widehat{\frak{sl}}_3)$},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {3--34},
     year = {2005},
     volume = {145},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a0/}
}
TY  - JOUR
AU  - S. Z. Pakuliak
AU  - S. M. Khoroshkin
TI  - Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 2005
SP  - 3
EP  - 34
VL  - 145
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a0/
LA  - ru
ID  - TMF_2005_145_1_a0
ER  - 
%0 Journal Article
%A S. Z. Pakuliak
%A S. M. Khoroshkin
%T Weight Function for the Quantum Affine Algebra $U_{q}(\widehat{\frak{sl}}_3)$
%J Teoretičeskaâ i matematičeskaâ fizika
%D 2005
%P 3-34
%V 145
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_2005_145_1_a0/
%G ru
%F TMF_2005_145_1_a0
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/

[1] P. Kulish, N. Reshetikhin, J. Phys. A, 16 (1983), L591–L596 | DOI | MR | Zbl

[2] F. Smirnov, Form Factors in Completely Integrable Models of Quantum Field Theory, Adv. Series in Math. Phys., 14, World Scientific, Singapore, 1992 ; А. Варченко, В. Тарасов, Алгебра и анализ, 6:2 (1994), 90–137 | DOI | MR | MR

[3] B. Enriquez, S. Khoroshkin, S. Pakuliak, Weight functions and Drinfeld currents, Preprint ITEPH-TH-40/05, ITEP, M., 2005 | MR

[4] V. Drinfeld, Sov. Math. Dokl., 36 (1988), 212–216 | MR | Zbl

[5] J. Ding, S. Khoroshkin, Transformation Groups, 5 (2000), 35–59 | DOI | MR

[6] V. Tarasov, A. Varchenko, “Combinatorial Formulae for Nested Bethe Vectors” (to appear)

[7] J. Ding, S. Khoroshkin, S. Pakuliak, Lett. Math. Phys., 53:2 (2000), 121–141 | DOI | MR | Zbl

[8] Dzh. Ding, S. Pakulyak, S. Khoroshkin, TMF, 124:2 (2000), 179–214 | DOI | MR

[9] B. Enriquez, Transformation Groups, 5 (2000), 111–120 | DOI | MR | Zbl

[10] B. Enriquez, V. Rubtsov, Israel J. Math., 112 (1999), 61–108 | DOI | MR