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Australasian Research Symposium on Lie Groups, Algebraic Groups, Quantum Groups, and Their Representations (LAQ'2001)
December 7-10, 2001
The University of Auckland
Auckland, New Zealand

Organizers
Rod Gover (University of Auckland), Vladimir Pestov (Victoria University of Wellington)

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Non Linear Schrodinger Hierarchy without and with boundaries
by
Sorba Paul
Laboratory of Theoretical Physics in Annecy, CNRS, France
Coauthors: M. Mintchev (Pisa, Italy), E. Ragoucy (Annecy, France)

We describe an algebraic framework for studying the symmetry properties of integrable quantum systems first on the line and then on the half line. For this second part, the approach is based on the introduction of boundary operators. We study in detail the NLS Hierarchy problem in which the Yangian plays an essential role when no boundary. Then boundary conditions preserving integrability are determined, and the boundary algebra examined.

Date received: August 27, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cahw-05.