Yangians, finite W-algebras and the Non Linear Schrodinger hierarchy

Abstract

We show an algebra morphism between Yangians and some finite W-algebras. This correspondence is nicely illustrated in the framework of the Non Linear Schrodinger hierarchy. For such a purpose, we give an explicit realization of the Yangian generators in terms of deformed oscillators.

LaTeX2e, 10 pages, Talk presented by E. Ragoucy at ACTP-Nankai Symposium on Yang-Baxter systems, non linear models and their applications, Seoul (Korea) October 20-23, 1998

References in corpus (2)

• Quantization of the Nonlinear Schrodinger Equation on the Half Line
• A remarkable connection between Yangians and finite W-algebras

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