262 citations · 3.5k across the 155 of their papers we have counts for
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math-ph2009★ 103 cited
Poisson vertex algebras in the theory of Hamiltonian equations
Aliaa Barakat, Alberto De Sole, Victor G. Kac
We lay down the foundations of the theory of Poisson vertex algebras aimed at its applications to integrability of Hamiltonian partial differential equations. Such an equation is c…
math-ph2009
On complete reducibility for infinite-dimensional Lie algebras
M. Gorelik, V. Kac
In this paper we study the complete reducibility of representations of infinite-dimensional Lie algebras from the perspective of the representation theory of vertex algebras.