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...
Main Authors: | De Sole, Alberto, Valeri, Daniele, Kac, Victor |
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Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Published: |
Oxford University Press (OUP)
2018
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Online Access: | http://hdl.handle.net/1721.1/115854 https://orcid.org/0000-0002-2860-7811 |
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