SISSA Open Science

Browsing by Author "De Sole, Alberto"

Browsing by Author "De Sole, Alberto"

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  • De Sole, Alberto; Kac, Victor G.; Valeri, Daniele (SISSA, 2014-01-09)
    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 KP hierarchy, together with its generalizations and ...
  • De Sole, Alberto; Kac, Victor G.; Valeri, Daniele (SISSA, 2014-01)
    First, we give a brief review of the theory of the Lenard-Magri scheme for a non-local bi-Poisson structure and of the theory of Dirac reduction. These theories are used in the remainder of the paper to prove integrability ...
  • De Sole, Alberto; Kac, Victor G.; Valeri, Daniele (SISSA, 2014-04-02)
    First, we derive an explicit formula for the Poisson bracket of the classical finite W-algebra W^{fin}(g,f), the algebra of polynomial functions on the Slodowy slice associated to a simple Lie algebra g and its nilpotent ...

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