Noncommutative integrability on noncompact invariant manifolds

Global action-angle coordinates for completely integrable systems with noncompact invariant submanifolds

The obstruction to the existence of global action-angle coordinates of Abelian and noncommutative (non-Abelian) completely integrable systems with compact invariant submanifolds has been studied. We extend this analysis to the case of noncompact invariant submanifolds.

关于李非交换可积性

On the Lie noncommutative integrability

利用李非交换可积性理论重构三维欧氏空间中的常微分方程可积系统，包括与sl(2,R)相关的Darboux-Brioschi-Halphen系统及Bianchi B类可解三维实李代数实例。