Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices

@article{Liu1998DiscreteLT,
  title={Discrete Levy transformations and Casorati determinant solutions of quadrilateral lattices},
  author={Q. Liu and M. Ma{\~n}as},
  journal={Physics Letters A},
  year={1998},
  volume={239},
  pages={159-166}
}
Sequences of discrete Levy and adjoint Levy transformations for 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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