Abstract
We demonstrate that the underlying linear Poisson structure of the Bruschi-Ragnisco lattice may be interpreted as a standard Lie-Poisson structure on the set of rank 1 matrices. The higher Poisson structures correspond to some modified Lie-Poisson structures. The Hamiltonians of the Bruschi-Ragnisco lattice and its higher analogues are linear functions in involution on the phase space.
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