Construction of trigonometric Toda $r$-matrices via Hamiltonian reduction of the cotangent bundle over loop groups

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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10 pages, LATEX

Scientific paper

By applying the Hamiltonian reduction method to the cotangent bundle over
loop groups we recover the well-known classical trigonometric $r$-matrices of
the periodic Toda lattice.

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