论文标题
量化非亚伯综合系统的定量理想
Quantisation ideals of nonabelian integrable systems
论文作者
论文摘要
我们考虑在自由关联代数中采用值的功能空间上的动态系统。如果系统具有通勤对称性的无限维度代数，则该系统是可集成的。在本文中，我们提出了一种解决动态系统定量问题的新方法，介绍了定量理想的概念并提供有意义的例子。
We consider dynamical systems on the space of functions taking values in a free associative algebra. The system is said to be integrable if it possesses an infinite dimensional Lie algebra of commuting symmetries. In this paper we propose a new approach to the problem of quantisation of dynamical systems, introduce the concept of quantisation ideals and provide meaningful examples.
