  In the present work a Cartan mechanics version for Routh reduction is
considered, as an intermediate step toward Routh reduction in field theory.
Motivation for this generalization comes from an scheme for integrable systems
[12], used for understanding the occurrence of Toda field theories in so called
Hamiltonian reduction of WZNW field theories [11]. As a way to accomplish with
this intermediate aim, this article also contains a formulation of the
Lagrangian Adler-Kostant-Symes systems discussed in [12] in terms of Routh
reduction.
