Double Poisson vertex algebras and non-commutative Hamiltonian equations

Double Poisson vertex algebras and non-commutative Hamiltonian equations

We develop the formalism of double Poisson vertex algebras (local and non-local) aimed at the study of non-commutative Hamiltonian PDEs. This is a generalization of the theory of double Poisson algebras, developed by Van den Bergh, which is used in the study of Hamiltonian ODEs. We apply our theory...

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Bibliographic Details
Main Authors: De Sole, Alberto (Author), Valeri, Daniele (Author), Kac, Victor (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: Elsevier, 2018-05-23T18:42:44Z.
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