标题： 可积系统背后的群论结构 显示英文标题

标题： Group Theory Structures Underlying Integrable Systems

摘要： 考虑了支撑可积系统的不同群结构。在某些情况下，通过对群使用其量子对应物，可以提供可积系统的量子化。然而，在可积系统量子化的过程中，某些其他的群结构虽然处理方式有所改变，但仍然保持非变形。讨论了 KP/Toda 层次和 Liouville 理论的明显例子。 显示英文摘要

摘要： 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.