We construct the classical W-algebras for some non-abelian Toda systems associated with the Lie groups GL 2n( R) and Sp n( R) . We start with the set of characteristic integrals and find the Poisson brackets for the corresponding Hamiltonian counterparts. The convenient block matrix representation for the Toda equations is used. The infinitesimal symmetry transformations generated by the elements of the W-algebras are presented.
Journal of Geometry and Physics
- Pub Date:
- December 2003
- High Energy Physics - Theory;
- Mathematical Physics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- LaTeX, AMS fonts, 40 pages