Nonlinear Sciences – Exactly Solvable and Integrable Systems
Scientific paper
1997-10-02
Nonlinear Sciences
Exactly Solvable and Integrable Systems
14 pages, LaTeX. The references are defined more precisely
Scientific paper
A sort of two dimensional linear auxiliary problem for the complex of 3D $R$ -- operators associated with the Zamolodchikov -- Bazhanov -- Baxter statistical model is proposed. This problem resembles the problem of the local Yang -- Baxter equation but does not coincide with it. The formulation of the auxiliary problem admits a notion of a ``fusion'', and usual local Yang -- Baxter equation appears among other results of this ``fusion''.
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