Solutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric

Details Solutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric Solutions of the functional tetrahedron equation connected with the local Yang -- Baxter equation for the ferro-electric

1997-09-17

arxiv.org/abs/solv-int/9709006v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages, LaTeX

Scientific paper

Local (or modified) Yang -- Baxter equation (LYBE) gives the functional map from the parameters of the weights in the left hand side to the parameters of the correspondent weights in the right hand side of LYBE. Such maps solve the functional tetrahedron equation. In this paper all the maps associated with LYBE of the ferro-electric type with single parameter in each weight matrix are classified.

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