Group Theory Structures Underlying Integrable Systems
High Energy Physics - Theory
2007-05-23 v1
Abstract
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.
Cite
@article{arxiv.hep-th/9607123,
title = {Group Theory Structures Underlying Integrable Systems},
author = {A. Mironov},
journal= {arXiv preprint arXiv:hep-th/9607123},
year = {2007}
}
Comments
7 pages, LaTeX, no figures; Talk presented at the II Sakharov International Conference