Deformed oscillators algebra formulation of the Nonlinear Schrodinger hierarchy and of its symmetry

preprint1999arXivOpen access

Abstract

We present a self-contained formulation of the Nonlinear Schrodinger hierarchy and its Yangian symmetry in terms of deformed oscilator algebra (Z.F. algebra). The link between Yangian Y(gl(N)) and finite W(gl(pN),N.gl(p)) algebras is also illustrated in this framework.

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