论文标题
无穷小量子组是经典流体力学的基础
An Infinitesimal Quantum Group Underlies Classical Fluid Mechanics
论文作者
论文摘要
阿诺德（Arnold）表明，理想流体的Euler方程描述了不可压缩载体场的Lie代数中的测量学。我们将表明，螺旋性诱导了将Lie代数分裂为两个各向同性子空间，形成了Manin三重。另一种方式观察，这表明存在一个无穷小的量子组（又称Bi-Algebra）基础经典流体力学。
Arnold showed that the Euler equations of an ideal fluid describe geodesics in the Lie algebra of incompressible vector fields. We will show that helicity induces a splitting of the Lie algebra into two isotropic subspaces, forming a Manin triple. Viewed another way, this shows that there is an infinitesimal quantum group (a.k.a. Lie bi-algebra) underlying classical fluid mechanics.
