670 citations · 3.3k across the 47 of their papers we have counts for
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math-ph2012★ 10 cited
Non-local Hamiltonian structures and applications to the theory of integrable systems I
Alberto De Sole, Victor G. Kac
We develop a rigorous theory of non-local Hamiltonian structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee ap…
math-ph2012★ 40 cited
Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras
Alberto De Sole, Victor G. Kac, Daniele Valeri
We provide a description of the Drinfeld-Sokolov Hamiltonian reduction for the construction of classical W-algebras within the framework of Poisson vertex algebras. In this context…