New Relations in the Algebra of the Baxter Q-Operators |
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Authors: | Belavin A A Odesskii A V Usmanov R A |
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Institution: | (1) Landau Institute for Theoretical Physics, Chernogolovka, Moscow Oblast, Russia |
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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. 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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