Geodesic
$Q$-Operator and the Drinfeld Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 370-377

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We show that the $TQ$ equation is satisfied by the trace over the quantum space of the product of $R$-matrices intertwining two representations of the quantum double of the Borel subalgebra of the affine algebra $U_{\text{q}}(\widehat{sl}_2)$ (the standard two-dimensional and the $N$-dimensional cyclic representations).
Keywords: quantum groups, Baxter $Q$-operator, cyclic representations. 
@article{TMF_2003_135_3_a1,
     author = {A. A. Belavin and R. A. Usmanov},
     title = {$Q${-Operator} and the {Drinfeld} {Equation}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {370--377},
     publisher = {mathdoc},
     volume = {135},
     number = {3},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a1/}
}
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A. A. Belavin; R. A. Usmanov. $Q$-Operator and the Drinfeld Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 135 (2003) no. 3, pp. 370-377. http://geodesic.mathdoc.fr/item/TMF_2003_135_3_a1/