Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras

Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras

We put the Adler-Gelfand-Dickey approach to classical W-algebras in the framework of Poisson vertex algebras. We show how to recover the bi-Poisson structure of the Kadomtsev-Petviashvili (KP) hierarchy, together with its generalizations and reduction to the Nth Korteweg-de Vries (KdV) hierarchy, us...

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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: Oxford University Press (OUP) 2018
Online Access:http://hdl.handle.net/1721.1/115854
https://orcid.org/0000-0002-2860-7811

Internet

http://hdl.handle.net/1721.1/115854
https://orcid.org/0000-0002-2860-7811

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