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New relations in the algebra of the Baxter Q-operators

A. A. Belavin·A. V. Odesskii·R. A. Usmanov
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Abstract

We consider irreducible cyclic representations of the algebra of monodromy matrices corresponding to the R-matrix of the six-vertex model. In 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 satisfies the TQ-equation. We find a new algebraic structure generated by these L-operators and, as a consequence, by the Q-operators.

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A. A. Belavin, A. V. Odesskii, R. A. Usmanov. 2001-10-19. New relations in the algebra of the Baxter Q-operators. https://arxiv.org/abs/hep-th/0110126

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