Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions

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For a given skew symmetric real n x n matrix N, the bracket X, Y = XNY - YNX defines a Lie algebra structure on the space Sym(n, N) of symmetric n x n real matrices and hence a corresponding Lie-Poisson structure. The purpose of this paper is to inves ...

Higher order Lagrange-Poincar, and Hamilton-Poincar, reductions

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