Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1894594 | Journal of Geometry and Physics | 2007 | 18 Pages |
Abstract
A new Poisson structure is defined on a subspace of the Kupershmidt algebra, isomorphic to the space HH of n×nn×n Hermitian matrices. The new Poisson structure is of Lie–Poisson type with respect to the standard Lie bracket of HH. This Poisson structure (together with two already known ones, obtained through a rr-matrix technique) allows to construct an extension of the periodic Toda lattice with nn particles that fits in a trihamiltonian recurrence scheme. Some explicit examples of the construction and of the first integrals found in this way are given.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Chiara Andrà, Luca Degiovanni, Guido Magnano,