Geodesic
New Relations in the Algebra of the Baxter $Q$-Operators
Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 383-413 
A. A. Belavin; A. V. Odesskii; R. A. Usmanov. New Relations in the Algebra of the Baxter $Q$-Operators. Teoretičeskaâ i matematičeskaâ fizika, Tome 130 (2002) no. 3, pp. 383-413. http://geodesic.mathdoc.fr/item/TMF_2002_130_3_a1/
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     author = {A. A. Belavin and A. V. Odesskii and R. A. Usmanov},
     title = {New {Relations} in the {Algebra} of the {Baxter} $Q${-Operators}},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the $R$-matrix of the six-vertex model. At roots of unity, the Baxter $Q$-operator can be represented as a trace of a tensor product of $L$-operators corresponding to one of these cyclic representations, and this operator satisfies the $TQ$ equation. We find a new algebraic structure generated by these $L$-operators and consequently by the $Q$-operators.

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