Classical R-Matrices and the Feigin-Odesskii Algebra via Hamiltonian and Poisson Reductions

Abstract

We present a formula for a classical r-matrix of an integrable system obtained by Hamiltonian reduction of some free field theories using pure gauge symmetries. The framework of the reduction is restricted only by the assumption that the respective gauge transformations are Lie group ones. Our formula is in terms of Dirac brackets, and some new observations… (More)

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