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Classical \(r\)-matrices and the Feigin-Odesskii algebra via Hamiltonian and Poisson reductions. (English) Zbl 1046.81077

MSC:
81T13 Yang-Mills and other gauge theories in quantum field theory
81R12 Groups and algebras in quantum theory and relations with integrable systems
17B99 Lie algebras and Lie superalgebras
35J35 Variational methods for higher-order elliptic equations
81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations
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