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Teoreticheskaya i Matematicheskaya Fizika, 2003, Volume 135, Number 3, Pages 370–377
DOI: https://doi.org/10.4213/tmf195 (Mi tmf195) 		 
$Q$-Operator and the Drinfeld Equation

A. A. Belavin, R. A. Usmanov

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
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DOI: https://doi.org/10.4213/tmf195
Abstract: 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.
English version:
Theoretical and Mathematical Physics, 2003, Volume 135, Issue 3, Pages 757–764
DOI: https://doi.org/10.1023/A:1024070602051
Bibliographic databases:
Language: Russian
Citation: A. A. Belavin, R. A. Usmanov, “$Q$-Operator and the Drinfeld Equation”, TMF, 135:3 (2003), 370–377; Theoret. and Math. Phys., 135:3 (2003), 757–764
Citation in format AMSBIB
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\jour Theoret. and Math. Phys.
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:55
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