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

H. W. Braden, V. A. Dolgushev, M. A. Olshanetsky +1

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…