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...
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.
|
Subjects: | |
Online Access: | Get fulltext |
Similar Items
-
Poisson vertex algebras in the theory of Hamiltonian equations
by: Barakat, Aliaa, et al.
Published: (2011) -
Classical W-Algebras and Generalized Drinfeld-Sokolov Bi-Hamiltonian Systems Within the Theory of Poisson Vertex Algebras
by: De Sole, Alberto, et al.
Published: (2015) -
Dirac Reduction for Poisson Vertex Algebras
by: De Sole, Alberto, et al.
Published: (2016) -
Adler-Gelfand-Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras
by: De Sole, Alberto, et al.
Published: (2018) -
On classification of poisson vertex algebras
by: De Sole, Alberto, et al.
Published: (2012)