Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices
Q. P. Liu, Manuel Manas
Abstract
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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