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Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices

Q. P. Liu·Manuel Manas
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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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Q. P. Liu, Manuel Manas. 1997-09-18. Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices. https://doi.org/10.1016/s0375-9601(97)00933-x

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