Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices
solv-int
2009-10-30 v1 Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.solv-int/9709007,
title = {Discrete Levy Transformations and Casorati Determinant Solutions of Quadrilateral Lattices},
author = {Q. P. Liu and Manuel Manas},
journal= {arXiv preprint arXiv:solv-int/9709007},
year = {2009}
}
Comments
12 pages, LaTeX2e using AMSLaTeX package