Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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12 pages, LaTeX2e using AMSLaTeX package

Scientific paper

10.1016/S0375-9601(97)00933-X

Sequences of discrete Levy and adjoint Levy transformations for the
multidimensional quadrilateral lattices are studied. After a suitable number of
iterations we show how all the relevant geometrical features of the transformed
quadrilateral lattice can be expressed in terms of multi-Casorati determinants.
As an example we dress the Cartesian lattice.

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