Symmetries of KdV and Loop Groups

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A simple version of the Segal-Wilson map from the SL(2,C) loop group to a class of solutions of the KdV hierarchy is given, clarifying certain aspects of this map. It is explained how the known symmetries, including Backlund transformations, of KdV arise from simple, field independent, actions on the loop group. A variety of issues in understanding the algebraic structure of Backlund transformations are thus resolved.
36 pages (sorry), LaTeX using a4 documentstyle

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Exactly Solvable and Integrable Systems, High Energy Physics - Theory, Quantum Algebra

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http://salesiana.dossiersoluciones.com/handle/123456789/153827

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/solv-int/9606004
 http://arxiv.org/abs/solv-int/9606004

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arXiv