Group Theory Structures Underlying Integrable Systems

Details Group Theory Structures Underlying Integrable Systems Group Theory Structures Underlying Integrable Systems

1996-07-15

arxiv.org/abs/hep-th/9607123v1

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LaTeX, no figures; Talk presented at the II Sakharov International Conference

Scientific paper

Different group structures which underline the integrable systems are considered. In some cases, the quantization of the integrable system can be provided with substituting groups by their quantum counterparts. However, some other group structures keep non-deformed in the course of quantizing the integrable system although their treatment is to be changed. Manifest examples of the KP/Toda hierarchy and the Liouville theory are considered.

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