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, Valeri, Daniele, Kac, Victor
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: Elsevier 2018
Online Access:http://hdl.handle.net/1721.1/115829
https://orcid.org/0000-0002-2860-7811

Internet

http://hdl.handle.net/1721.1/115829
https://orcid.org/0000-0002-2860-7811

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