arXiv:1509.06878 Abstract | arXiv Analytics

arXiv:1509.06878 [math-ph]Abstract References Reviews Resources

Classical W-algebras for gl_N and associated integrable Hamiltonian hierarchies

Alberto De Sole, Victor G. Kac, Daniele Valeri

Published 2015-09-23Version 1

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.

Comments: 47 pages

Categories: math-ph, math.MP, math.RA, math.RT, nlin.SI

Subjects: 17B69, 17B63, 17B08, 17B80, 35Q53, 37K10, 37K30

Keywords: associated integrable hamiltonian hierarchies, classical w-algebras, vector constrained kp hierarchies, lax type equations, constructing integrable hamiltonian hierarchies

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