Stephane Lafortune, Centre de Recherches Mathematiques, Universite de Montreal, Canada
e-mail: lafortus@crm.umontreal.ca

Symmetries of Infinite, Semi-infinite and Finite Discrete Systems

Abstract

The Lie symmetries of a large class of generalized Toda field theories are studied and used to perform symmetry reduction. Reductions lead to generalized Toda lattices on one hand, to periodic systems on the other. Boundary conditions are introduced to reduce theories on an infinite lattice to those on semi-infinite, or finite ones.