  Selected applications of symmetry methods in the atmospheric sciences are
reviewed briefly. In particular, focus is put on the utilisation of the
classical Lie symmetry approach to derive classes of exact solutions from
atmospheric models. This is illustrated with the barotropic vorticity equation.
Moreover, the possibility for construction of partially-invariant solutions is
discussed for this model. A further point is a discussion of using symmetries
for relating different classes of differential equations. This is illustrated
with the spherical and the potential vorticity equation. Finally, discrete
symmetries are used to derive the minimal finite-mode version of the vorticity
equation first discussed by E. Lorenz (1960) in a sound mathematical fashion.
