关于联合不变量与微分不变式关系的一个注记
A note on the relation between joint and differential invariants
摘要:
讨论了流形上光滑李群作用的联合不变量理论的一般性质。许多关于微分不变式的已知结果,包括李有限性定理,在联合不变式的背景下有更简单的版本。我们探讨了联合和微分不变式之间的关系,我们暴露了一个通用的方法,允许计算微分不变式从联合不变。
英文摘要:
We discuss the general properties of the theory of joint invariants of a smooth Lie group action in a manifold. Many of the known results about differential invariants, including Lie's finiteness theorem, have simpler versions in the context of joint invariants. We explore the relation between joint and differential invariants, and we expose a general method that allow to compute differential invariants from joint invariants.
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