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arXiv · 1509.06878

Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies

Alberto De Sole·Victor G. Kac·Daniele Valeri
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Abstract

We apply the new method for constructing integrable Hamiltonian hierarchies of Lax type equations developed in our previous paper, to show that all W-algebras W(gl_N,f) carry such a hierarchy. As an application, we show that all vector constrained KP hierarchies and their matrix generalizations are obtained from these hierarchies by Dirac reduction, which provides the former with a bi-Poisson structure.

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Alberto De Sole, Victor G. Kac, Daniele Valeri. 2016-06-02. Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies. https://doi.org/10.1007/s00220-016-2632-9

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