43 citations · 97 across the 6 of their papers we have counts for
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math-ph2013★ 38 cited
Non-local Poisson structures and applications to the theory of integrable systems
Alberto De Sole, Victor G. Kac
We develop a rigorous theory of non-local Poisson structures, built on the notion of a non-local Poisson vertex algebra. As an application, we find conditions that guarantee applic…
math-ph2012★ 1 cited
Non-local Poisson structures and applications to the theory of integrable systems II
Alberto De Sole, Victor G. Kac
We develop further the Lenard-Magri scheme of integrability for a pair of compatible non-local Poisson structures, which we discussed in Part I. We apply this scheme to several suc…
math-ph2010★ 9 cited
On classification of Poisson vertex algebras
Alberto De Sole, Victor Kac, Minoru Wakimoto
We describe a conjectural classification of Poisson vertex algebras of CFT type and of Poisson vertex algebras in one differential variable (= scalar Hamiltonian operators).