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. 
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     author = {A. A. Belavin and R. A. Usmanov},
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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/

[1] R. I. Baxter, Ann. Phys., 70 (1972), 193 ; 323 ; 76 (1973), 48 | DOI | MR | Zbl | MR | DOI | Zbl

[2] V. V. Bazhanov, Yu. G. Stroganov, J. Stat. Phys., 51 (1990), 799–817 | DOI | MR

[3] V. Tarasov, Int. J. Mod. Phys. A Sup. 1B, 7 (1992), 963–975 | DOI | MR | Zbl

[4] M. Jimbo, Topics from representations of $U_{q}\bigl(\{ g\}\bigr)$ – An introductory guide to physicists, Preprint Kyoto University, Japan, 1991 | MR

[5] A. A. Belavin, A. V. Odesskii, R. A. Usmanov, New relations in the algebra of the Baxter Q-operators, E-print hep-th/0110126 | MR