Bihamiltonian Reductions and W_n Algebras

Details Bihamiltonian Reductions and W_n Algebras Bihamiltonian Reductions and W_n Algebras

1997-07-29

arxiv.org/abs/solv-int/9707017v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTeX2e, 23 pages, to be published in J. Geom. Phys

Scientific paper

10.1016/S0393-0440(97)00060-0

We discuss the geometry of the Marsden-Ratiu reduction theorem for a bihamiltonian manifold. We consider the case of the manifolds associated with the Gel'fand-Dickey theory, i.e., loop algebras over sl(n+1). We provide an explicit identification, tailored on the MR reduction, of the Adler-Gel'fand-Dickey brackets with the Poisson brackets on the MR-reduced bihamiltonian manifold N. Such an identification relies on a suitable immersion of the space of sections of the cotangent bundle of N into the algebra of pseudo differential operators connected to geometrical features of the theory of (classical) W_n algebras.

Affiliated with

Also associated with

No associations

Rating

Bihamiltonian Reductions and W_n Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bihamiltonian Reductions and W_n Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bihamiltonian Reductions and W_n Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-207895